{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Statsmodels Methods Overview"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:48.158445Z",
     "iopub.status.busy": "2025-06-27T05:20:48.158267Z",
     "iopub.status.idle": "2025-06-27T05:20:48.164422Z",
     "shell.execute_reply": "2025-06-27T05:20:48.163933Z"
    }
   },
   "outputs": [],
   "source": [
    "# This cells setups the environment when executed in Google Colab.\n",
    "try:\n",
    "    import google.colab\n",
    "    !curl -s https://raw.githubusercontent.com/ibs-lab/cedalion/dev/scripts/colab_setup.py -o colab_setup.py\n",
    "    # Select branch with --branch \"branch name\" (default is \"dev\")\n",
    "    %run colab_setup.py\n",
    "except ImportError:\n",
    "    pass"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:48.166179Z",
     "iopub.status.busy": "2025-06-27T05:20:48.165864Z",
     "iopub.status.idle": "2025-06-27T05:20:50.440251Z",
     "shell.execute_reply": "2025-06-27T05:20:50.439774Z"
    },
    "nbsphinx": "hidden"
   },
   "outputs": [],
   "source": [
    "# this cell won't be rendered in the sphinx documentation to keep the page short\n",
    "\n",
    "import matplotlib.pyplot as p\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import xarray as xr\n",
    "\n",
    "import cedalion\n",
    "import cedalion.datasets\n",
    "import cedalion.io\n",
    "import cedalion.models.glm as glm\n",
    "import cedalion.nirs\n",
    "import cedalion.plots as plots\n",
    "import cedalion.sigproc.frequency\n",
    "from cedalion import units\n",
    "\n",
    "xr.set_options(display_expand_data=False);\n",
    "\n",
    "rec = cedalion.datasets.get_fingertapping()\n",
    "\n",
    "# rename trials\n",
    "rec.stim.cd.rename_events(\n",
    "    {\n",
    "        \"1.0\": \"control\",\n",
    "        \"2.0\": \"Tapping/Left\",\n",
    "        \"3.0\": \"Tapping/Right\",\n",
    "        \"15.0\": \"sentinel\",\n",
    "    }\n",
    ")\n",
    "rec.stim = rec.stim[rec.stim.trial_type != \"sentinel\"]\n",
    "\n",
    "# differential pathlenght factors\n",
    "dpf = xr.DataArray(\n",
    "    [6, 6],\n",
    "    dims=\"wavelength\",\n",
    "    coords={\"wavelength\": rec[\"amp\"].wavelength},\n",
    ")\n",
    "\n",
    "# calculate optical density and concentrations\n",
    "rec[\"od\"] = cedalion.nirs.int2od(rec[\"amp\"])\n",
    "rec[\"conc\"] = cedalion.nirs.od2conc(rec[\"od\"], rec.geo3d, dpf, spectrum=\"prahl\")\n",
    "\n",
    "# Bandpass filter remove cardiac component and slow drifts.\n",
    "# Here we use a highpass to remove drift. Another possible option would be to\n",
    "# use drift regressors in the design matrix.\n",
    "fmin = 0.02 * units.Hz\n",
    "fmax = 0 * units.Hz\n",
    "\n",
    "rec[\"conc_filtered\"] = cedalion.sigproc.frequency.freq_filter(rec[\"conc\"], fmin, fmax)\n",
    "\n",
    "\n",
    "ts = rec[\"conc_filtered\"]\n",
    "\n",
    "# split time series into two based on channel distance\n",
    "ts_long, ts_short = cedalion.nirs.split_long_short_channels(\n",
    "    rec[\"conc_filtered\"], rec.geo3d, distance_threshold=1.5 * units.cm\n",
    ")\n",
    "\n",
    "dms = (\n",
    "    glm.design_matrix.hrf_regressors(\n",
    "        ts_long, rec.stim, glm.Gamma(tau=0 * units.s, sigma=3 * units.s)\n",
    "    )\n",
    "    & glm.design_matrix.closest_short_channel_regressor(ts_long, ts_short, rec.geo3d)\n",
    ")\n",
    "dms.channel_wise[0] = dms.channel_wise[0].pint.dequantify()\n",
    "dms.channel_wise[0] /= dms.channel_wise[0].max(\"time\")\n",
    "\n",
    "dm = dms.common\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Cedalion uses statsmodels for its GLM fitting functionality, and this notebook gives an overview of some common statsmodels methods. The glm.fit function returns an xr.DataArray of statsmodels RegressionResults objects with dimensions (channel, chromo). Any RegressionResults method can be called on this DataArray using the .sm accessor. A full list of available methods and attribute can be found in the [statsmodels documentation](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.html).\n",
    "\n",
    "In this notebook, we'll assume that we have already loaded our data and set up the GLM. See the other GLM notebooks for details on setup.\n",
    "\n",
    "We'll start by fitting the GLM and displaying the resulting object."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:50.442210Z",
     "iopub.status.busy": "2025-06-27T05:20:50.442045Z",
     "iopub.status.idle": "2025-06-27T05:20:50.871568Z",
     "shell.execute_reply": "2025-06-27T05:20:50.871041Z"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 154.85it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 158.68it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 82.40it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 84.03it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 157.67it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 168.49it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 84.39it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 86.31it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 166.11it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 161.85it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 87.25it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 86.61it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 168.74it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/3 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 67%|██████▋   | 2/3 [00:00<00:00, 167.89it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 84.58it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      "  0%|          | 0/2 [00:00<?, ?it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\r",
      " 50%|█████     | 1/2 [00:00<00:00, 87.11it/s]"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2)&gt; Size: 320B\n",
       "&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5...\n",
       "Coordinates:\n",
       "  * chromo    (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel   (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source    (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector  (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-4403afbb-129f-4748-959a-c6026343c712' class='xr-array-in' type='checkbox' ><label for='section-4403afbb-129f-4748-959a-c6026343c712' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>&lt;statsmodels.regression.linear_model.RegressionResultsWrapper objec...</span></div><div class='xr-array-data'><pre>array([[&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f591745ea90&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172f3fd0&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f591850a010&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172fd7d0&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f591745dad0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f599038d490&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172becd0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917304e50&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172bded0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59180c6a10&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172be110&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172fff90&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172ccf10&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cd290&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cd150&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cf790&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172bfbd0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cff10&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cfb10&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917865310&gt;],\n",
       "...\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917304e10&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172d9a10&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917317510&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172daf10&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172db310&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172e9dd0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f591731a3d0&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172e8bd0&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172ea5d0&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172cc810&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172d8a90&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172f0090&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917324d50&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172eba10&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917317250&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172f2d50&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917315ad0&gt;],\n",
       "       [&lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f59172f3190&gt;,\n",
       "        &lt;statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5917317b90&gt;]],\n",
       "      dtype=object)</pre></div></div></li><li class='xr-section-item'><input id='section-19e3d12e-9545-49f8-9ecd-8031ba3bafd7' class='xr-section-summary-in' type='checkbox'  checked><label for='section-19e3d12e-9545-49f8-9ecd-8031ba3bafd7' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-1991bf00-0efc-497a-bdc2-ab75a1d1e177' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-1991bf00-0efc-497a-bdc2-ab75a1d1e177' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d616bbb7-5c33-4d50-acb3-f970d094a49f' class='xr-var-data-in' type='checkbox'><label for='data-d616bbb7-5c33-4d50-acb3-f970d094a49f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-a8118234-d58b-4b68-837b-31533f547230' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a8118234-d58b-4b68-837b-31533f547230' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-21e4ce37-a048-4cb5-a0e0-806843e89552' class='xr-var-data-in' type='checkbox'><label for='data-21e4ce37-a048-4cb5-a0e0-806843e89552' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-66850f8b-636e-4969-a74d-8442aaf5560c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-66850f8b-636e-4969-a74d-8442aaf5560c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fea6f9af-90b8-4d6d-90c3-f585076cc98d' class='xr-var-data-in' type='checkbox'><label for='data-fea6f9af-90b8-4d6d-90c3-f585076cc98d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-a768dbdc-942d-47fc-8c66-7c990b5daa01' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a768dbdc-942d-47fc-8c66-7c990b5daa01' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-db1599ae-2df3-4bd1-9fa8-2a77b2510c72' class='xr-var-data-in' type='checkbox'><label for='data-db1599ae-2df3-4bd1-9fa8-2a77b2510c72' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-24f6260b-861a-440b-bdc3-bf276f79ce9d' class='xr-section-summary-in' type='checkbox'  ><label for='section-24f6260b-861a-440b-bdc3-bf276f79ce9d' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-bd3f018f-5e36-4907-a7ab-57c5320ccaf3' class='xr-index-data-in' type='checkbox'/><label for='index-bd3f018f-5e36-4907-a7ab-57c5320ccaf3' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-ca07b21d-926f-47f5-bcf5-cba9afa8a576' class='xr-index-data-in' type='checkbox'/><label for='index-ca07b21d-926f-47f5-bcf5-cba9afa8a576' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d75f99b4-3052-42a9-863c-fef26655b060' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d75f99b4-3052-42a9-863c-fef26655b060' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2)> Size: 320B\n",
       "<statsmodels.regression.linear_model.RegressionResultsWrapper object at 0x7f5...\n",
       "Coordinates:\n",
       "  * chromo    (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel   (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source    (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector  (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "results = glm.fit(ts_long, dms)\n",
    "display(results)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The results object is a DataArray of statsmodels [RegressionResults](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.html): one for each channel/chromophore. In order to call a method on our results object, we just use the accessor `.sm`, followed by the RegressionResults method. Cedalion handles calling the method on each individual RegressionResults object in the results DataArray, and returns the outputs in a new DataArray with the appropriate dimensions. This allows us to get information on all channels simply and concisely.\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Beta Coefficients (params)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, we'll retreive the coefficients of the GLM fit."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:50.873340Z",
     "iopub.status.busy": "2025-06-27T05:20:50.873155Z",
     "iopub.status.idle": "2025-06-27T05:20:50.908648Z",
     "shell.execute_reply": "2025-06-27T05:20:50.908107Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4)&gt; Size: 1kB\n",
       "-0.001429 0.1604 0.2017 0.7729 -0.003184 ... -0.01349 -0.01729 -0.01956 -0.03845\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-3651d76b-c96f-42cf-b5d8-965e6a60c3ed' class='xr-array-in' type='checkbox' ><label for='section-3651d76b-c96f-42cf-b5d8-965e6a60c3ed' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>-0.001429 0.1604 0.2017 0.7729 ... -0.01349 -0.01729 -0.01956 -0.03845</span></div><div class='xr-array-data'><pre>array([[[-1.42937450e-03,  1.60374559e-01,  2.01671107e-01,\n",
       "          7.72943085e-01],\n",
       "        [-3.18438115e-03, -4.28065493e-02, -5.25227875e-02,\n",
       "          1.45830714e-02]],\n",
       "\n",
       "       [[-4.80527415e-03,  7.69585784e-02,  8.26104039e-02,\n",
       "          6.59150651e-01],\n",
       "        [ 9.79443897e-05, -3.97332107e-04, -8.34397539e-03,\n",
       "          1.07772915e-02]],\n",
       "\n",
       "       [[-2.27596232e-03,  1.00550166e-01,  1.84088432e-01,\n",
       "          6.46138595e-01],\n",
       "        [-2.38609423e-03, -2.46109354e-02, -5.68790611e-02,\n",
       "          1.23418583e-02]],\n",
       "\n",
       "       [[-1.89541721e-02,  8.06970126e-02,  7.11203526e-02,\n",
       "          7.51484274e-01],\n",
       "        [-9.66431492e-05, -3.99156436e-03, -1.16782881e-03,\n",
       "          3.88268788e-02]],\n",
       "\n",
       "...\n",
       "\n",
       "       [[-1.36429943e-02,  1.84655053e-01,  1.79224653e-01,\n",
       "          1.03064152e+00],\n",
       "        [-2.55535790e-03,  1.63982658e-02,  3.09659233e-02,\n",
       "          2.70586765e-02]],\n",
       "\n",
       "       [[-1.14508374e-02,  2.23403524e-01,  1.53088156e-01,\n",
       "          1.03900712e+00],\n",
       "        [-4.46127569e-03, -8.63588025e-03,  2.19493250e-02,\n",
       "          2.85996435e-02]],\n",
       "\n",
       "       [[ 2.90022789e-03,  1.33447162e-01,  9.05411753e-02,\n",
       "          1.12550882e+00],\n",
       "        [-5.15074250e-03, -3.66658423e-02, -1.43548595e-02,\n",
       "          1.67072177e-01]],\n",
       "\n",
       "       [[-2.39335460e-02,  9.77055531e-02,  7.60216774e-02,\n",
       "          9.40924505e-01],\n",
       "        [-1.34861191e-02, -1.72893071e-02, -1.95587165e-02,\n",
       "         -3.84500017e-02]]])</pre></div></div></li><li class='xr-section-item'><input id='section-7a45fc26-f053-4c55-aa05-abe1d72a9234' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7a45fc26-f053-4c55-aa05-abe1d72a9234' class='xr-section-summary' >Coordinates: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-1fcfb6c8-2f94-4cfd-b807-0f24e22abbf5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-1fcfb6c8-2f94-4cfd-b807-0f24e22abbf5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-134e1d81-3e27-4f26-bb72-5d44a8301552' class='xr-var-data-in' type='checkbox'><label for='data-134e1d81-3e27-4f26-bb72-5d44a8301552' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-237c7ad5-f1b4-4218-95cf-ee2de7f619a0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-237c7ad5-f1b4-4218-95cf-ee2de7f619a0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7877245c-feb8-4278-a051-46013300ea7d' class='xr-var-data-in' type='checkbox'><label for='data-7877245c-feb8-4278-a051-46013300ea7d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-e104b5e9-1b24-4943-898a-d79d7fb6643c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e104b5e9-1b24-4943-898a-d79d7fb6643c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-fd1d0ce4-3bb7-4b47-9988-5fdcbd07c9e6' class='xr-var-data-in' type='checkbox'><label for='data-fd1d0ce4-3bb7-4b47-9988-5fdcbd07c9e6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-c46737c4-4b26-4f2b-8dc5-f49dbd287f03' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c46737c4-4b26-4f2b-8dc5-f49dbd287f03' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-40b44e0d-abc7-4317-8215-a8f53ed3141e' class='xr-var-data-in' type='checkbox'><label for='data-40b44e0d-abc7-4317-8215-a8f53ed3141e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-8eda3d21-2be7-429a-8bcd-a6a1f9b85864' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8eda3d21-2be7-429a-8bcd-a6a1f9b85864' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-117f8634-51d5-41a1-9d56-445bcc45db1f' class='xr-var-data-in' type='checkbox'><label for='data-117f8634-51d5-41a1-9d56-445bcc45db1f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b28fbac5-e765-4742-bab0-513fac118b29' class='xr-section-summary-in' type='checkbox'  ><label for='section-b28fbac5-e765-4742-bab0-513fac118b29' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-f5300b48-2018-4f24-8bef-fe08b9f2b81e' class='xr-index-data-in' type='checkbox'/><label for='index-f5300b48-2018-4f24-8bef-fe08b9f2b81e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-ecc7b5dd-99d3-4354-82a1-937e0b28a522' class='xr-index-data-in' type='checkbox'/><label for='index-ecc7b5dd-99d3-4354-82a1-937e0b28a522' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-8a798a2a-98bf-4d26-82f4-7cd8cd5e8a56' class='xr-index-data-in' type='checkbox'/><label for='index-8a798a2a-98bf-4d26-82f4-7cd8cd5e8a56' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c0e9d19c-8994-40f5-8c02-ce1b26b2437d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-c0e9d19c-8994-40f5-8c02-ce1b26b2437d' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4)> Size: 1kB\n",
       "-0.001429 0.1604 0.2017 0.7729 -0.003184 ... -0.01349 -0.01729 -0.01956 -0.03845\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sm.params"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Standard Error\n",
    "\n",
    "The method [bse](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.bse.html#statsmodels.regression.linear_model.RegressionResults.bse) returns the standard errors of the parameter estimates"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:50.910397Z",
     "iopub.status.busy": "2025-06-27T05:20:50.910219Z",
     "iopub.status.idle": "2025-06-27T05:20:50.962919Z",
     "shell.execute_reply": "2025-06-27T05:20:50.962391Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4)&gt; Size: 1kB\n",
       "0.004972 0.005014 0.005029 0.005514 0.0024 ... 0.00284 0.00284 0.002842 0.006336\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-3209201e-9301-4144-a98d-8712413617f9' class='xr-array-in' type='checkbox' ><label for='section-3209201e-9301-4144-a98d-8712413617f9' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>0.004972 0.005014 0.005029 0.005514 ... 0.00284 0.002842 0.006336</span></div><div class='xr-array-data'><pre>array([[[0.00497161, 0.00501429, 0.00502866, 0.00551387],\n",
       "        [0.00240014, 0.00240047, 0.00240035, 0.00209266]],\n",
       "\n",
       "       [[0.0030418 , 0.00306791, 0.0030767 , 0.00337357],\n",
       "        [0.00168696, 0.0016872 , 0.00168711, 0.00147085]],\n",
       "\n",
       "       [[0.00375924, 0.00379151, 0.00380238, 0.00416927],\n",
       "        [0.00223931, 0.00223962, 0.0022395 , 0.00195243]],\n",
       "\n",
       "       [[0.00244791, 0.00246214, 0.00247743, 0.00286962],\n",
       "        [0.00105818, 0.00105816, 0.00105841, 0.00150936]],\n",
       "\n",
       "       [[0.00310786, 0.00312593, 0.00314534, 0.00364327],\n",
       "        [0.00169849, 0.00169846, 0.00169885, 0.00242269]],\n",
       "\n",
       "       [[0.00318077, 0.00319926, 0.00321913, 0.00372874],\n",
       "        [0.00141303, 0.001413  , 0.00141333, 0.00201551]],\n",
       "\n",
       "       [[0.0038832 , 0.00390407, 0.00392748, 0.00511243],\n",
       "        [0.00320082, 0.00322097, 0.0032104 , 0.00588246]],\n",
       "...\n",
       "       [[0.0024522 , 0.00247294, 0.00247331, 0.00279048],\n",
       "        [0.00117734, 0.00118275, 0.00118018, 0.00099187]],\n",
       "\n",
       "       [[0.00262935, 0.00265159, 0.00265199, 0.00299207],\n",
       "        [0.00136835, 0.00137463, 0.00137164, 0.00115279]],\n",
       "\n",
       "       [[0.00398299, 0.00401668, 0.00401729, 0.00453245],\n",
       "        [0.00167967, 0.00168739, 0.00168372, 0.00141507]],\n",
       "\n",
       "       [[0.004156  , 0.00419003, 0.00419484, 0.00454729],\n",
       "        [0.00268616, 0.00269619, 0.00268999, 0.00313252]],\n",
       "\n",
       "       [[0.00412334, 0.00415711, 0.00416188, 0.00451156],\n",
       "        [0.00188041, 0.00188743, 0.0018831 , 0.00219288]],\n",
       "\n",
       "       [[0.00308717, 0.00310892, 0.00310487, 0.00412418],\n",
       "        [0.00185286, 0.00185293, 0.00185435, 0.00413411]],\n",
       "\n",
       "       [[0.00725819, 0.00730933, 0.0072998 , 0.00969628],\n",
       "        [0.00283954, 0.00283964, 0.00284182, 0.00633557]]])</pre></div></div></li><li class='xr-section-item'><input id='section-7ef727aa-4ed7-4772-a37e-954c357cfa46' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7ef727aa-4ed7-4772-a37e-954c357cfa46' class='xr-section-summary' >Coordinates: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-990e5f37-69ab-4b5b-ad70-5a6eda3bfc7e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-990e5f37-69ab-4b5b-ad70-5a6eda3bfc7e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c36a230c-2256-4dc5-ae6f-1a44a422db89' class='xr-var-data-in' type='checkbox'><label for='data-c36a230c-2256-4dc5-ae6f-1a44a422db89' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-969d0847-86fb-4717-bdd4-342cfe5ff26c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-969d0847-86fb-4717-bdd4-342cfe5ff26c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-41452d39-b0ea-42a3-9a09-27c899546b0a' class='xr-var-data-in' type='checkbox'><label for='data-41452d39-b0ea-42a3-9a09-27c899546b0a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-05f62659-8aa3-4a40-b28f-c601bd66c223' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-05f62659-8aa3-4a40-b28f-c601bd66c223' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-52bafa63-7db6-4ead-88e0-229696f9ec1d' class='xr-var-data-in' type='checkbox'><label for='data-52bafa63-7db6-4ead-88e0-229696f9ec1d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-ea95bd87-3067-4ccd-9767-2538eb7b4431' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ea95bd87-3067-4ccd-9767-2538eb7b4431' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6c37a82e-18b2-45b8-aef1-21ab0d3f5088' class='xr-var-data-in' type='checkbox'><label for='data-6c37a82e-18b2-45b8-aef1-21ab0d3f5088' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-69a3c704-6f90-458b-9d88-e0318aaa70c8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-69a3c704-6f90-458b-9d88-e0318aaa70c8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-70508ce9-7bae-473d-851c-b167fc67b63c' class='xr-var-data-in' type='checkbox'><label for='data-70508ce9-7bae-473d-851c-b167fc67b63c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d5a3ecc9-279a-4ead-bb15-365b9083eb36' class='xr-section-summary-in' type='checkbox'  ><label for='section-d5a3ecc9-279a-4ead-bb15-365b9083eb36' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-fce215dd-bbd5-482c-b53b-950beb94bb11' class='xr-index-data-in' type='checkbox'/><label for='index-fce215dd-bbd5-482c-b53b-950beb94bb11' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-6ba3850f-a253-4437-b55d-2d85152212b0' class='xr-index-data-in' type='checkbox'/><label for='index-6ba3850f-a253-4437-b55d-2d85152212b0' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-239aad78-75ef-472c-910c-462cd4451539' class='xr-index-data-in' type='checkbox'/><label for='index-239aad78-75ef-472c-910c-462cd4451539' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-49795c02-c044-41ec-bf28-e8ad4d2c9224' class='xr-section-summary-in' type='checkbox'  checked><label for='section-49795c02-c044-41ec-bf28-e8ad4d2c9224' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4)> Size: 1kB\n",
       "0.004972 0.005014 0.005029 0.005514 0.0024 ... 0.00284 0.00284 0.002842 0.006336\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sm.bse"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Confidence Intervals (conf_int)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The method [conf_int](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.conf_int.html#statsmodels.regression.linear_model.RegressionResults.conf_int) calculates the confidence interval of the fitted parameters. We can specify the alpha level for the confidence interval (default 5%).\n",
    "\n",
    "In the output, the index conf_int marks the low (conf_int=0) and high (conf_int=1) endpoints of the confidence interval."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:50.965778Z",
     "iopub.status.busy": "2025-06-27T05:20:50.964963Z",
     "iopub.status.idle": "2025-06-27T05:20:51.018388Z",
     "shell.execute_reply": "2025-06-27T05:20:51.017932Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4, conf_int: 2)&gt; Size: 3kB\n",
       "-0.01117 0.008315 0.1505 0.1702 0.1918 ... -0.02513 -0.01399 -0.05087 -0.02603\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * conf_int   (conf_int) int64 16B 0 1\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li><li><span class='xr-has-index'>conf_int</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-4eaf8dbb-ce81-4a6e-b4aa-c1c0147a9299' class='xr-array-in' type='checkbox' ><label for='section-4eaf8dbb-ce81-4a6e-b4aa-c1c0147a9299' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>-0.01117 0.008315 0.1505 0.1702 ... -0.01399 -0.05087 -0.02603</span></div><div class='xr-array-data'><pre>array([[[[-1.11740532e-02,  8.31530418e-03],\n",
       "         [ 1.50546225e-01,  1.70202892e-01],\n",
       "         [ 1.91814607e-01,  2.11527607e-01],\n",
       "         [ 7.62135529e-01,  7.83750642e-01]],\n",
       "\n",
       "        [[-7.88881341e-03,  1.52005111e-03],\n",
       "         [-4.75116323e-02, -3.81014662e-02],\n",
       "         [-5.72276230e-02, -4.78179520e-02],\n",
       "         [ 1.04813185e-02,  1.86848244e-02]]],\n",
       "\n",
       "\n",
       "       [[[-1.07673961e-02,  1.15684782e-03],\n",
       "         [ 7.09452737e-02,  8.29718832e-02],\n",
       "         [ 7.65798659e-02,  8.86409419e-02],\n",
       "         [ 6.52538225e-01,  6.65763077e-01]],\n",
       "\n",
       "        [[-3.20861839e-03,  3.40450717e-03],\n",
       "         [-3.70435229e-03,  2.90968808e-03],\n",
       "         [-1.16508216e-02, -5.03712916e-03],\n",
       "         [ 7.89432866e-03,  1.36602544e-02]]],\n",
       "...\n",
       "       [[[-3.15083546e-03,  8.95129124e-03],\n",
       "         [ 1.27353465e-01,  1.39540858e-01],\n",
       "         [ 8.44554235e-02,  9.66269270e-02],\n",
       "         [ 1.11742515e+00,  1.13359249e+00]],\n",
       "\n",
       "        [[-8.78247494e-03, -1.51901005e-03],\n",
       "         [-4.02977103e-02, -3.30339743e-02],\n",
       "         [-1.79895145e-02, -1.07202046e-02],\n",
       "         [ 1.58969058e-01,  1.75175297e-01]]],\n",
       "\n",
       "\n",
       "       [[[-3.81600785e-02, -9.70701352e-03],\n",
       "         [ 8.33787868e-02,  1.12032319e-01],\n",
       "         [ 6.17135897e-02,  9.03297651e-02],\n",
       "         [ 9.21919158e-01,  9.59929852e-01]],\n",
       "\n",
       "        [[-1.90517977e-02, -7.92044057e-03],\n",
       "         [-2.28551934e-02, -1.17234209e-02],\n",
       "         [-2.51288738e-02, -1.39885592e-02],\n",
       "         [-5.08681401e-02, -2.60318633e-02]]]])</pre></div></div></li><li class='xr-section-item'><input id='section-34203b24-1a53-425b-9fc6-39af9fc32e8d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-34203b24-1a53-425b-9fc6-39af9fc32e8d' class='xr-section-summary' >Coordinates: <span>(6)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-66fcb5e6-6c51-4ffb-82e3-ce23e040bf77' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-66fcb5e6-6c51-4ffb-82e3-ce23e040bf77' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ba779c56-48a0-4c4f-8ddd-d95372687a10' class='xr-var-data-in' type='checkbox'><label for='data-ba779c56-48a0-4c4f-8ddd-d95372687a10' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>conf_int</span></div><div class='xr-var-dims'>(conf_int)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1</div><input id='attrs-9d14b9a1-4697-4164-a3d4-c367c97a7f64' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9d14b9a1-4697-4164-a3d4-c367c97a7f64' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2a9d5e3d-c292-4f80-8fb6-45e730c30ca6' class='xr-var-data-in' type='checkbox'><label for='data-2a9d5e3d-c292-4f80-8fb6-45e730c30ca6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 1])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-630699da-14dc-49c2-9d4c-962cbf09ecbe' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-630699da-14dc-49c2-9d4c-962cbf09ecbe' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-149ef7f4-a1c0-4f08-83cf-92a18aec3367' class='xr-var-data-in' type='checkbox'><label for='data-149ef7f4-a1c0-4f08-83cf-92a18aec3367' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-9edefe8e-9dc6-4e9d-8546-51f1739386e6' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9edefe8e-9dc6-4e9d-8546-51f1739386e6' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f9dc231f-178b-4995-b935-985e7bcb8320' class='xr-var-data-in' type='checkbox'><label for='data-f9dc231f-178b-4995-b935-985e7bcb8320' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-d8b52f4a-b3a4-4599-8620-4de381a2e5d0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d8b52f4a-b3a4-4599-8620-4de381a2e5d0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-18871778-f807-44d7-8ead-cd13d8666c64' class='xr-var-data-in' type='checkbox'><label for='data-18871778-f807-44d7-8ead-cd13d8666c64' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-08d86651-88cf-4a54-9983-bfba9c506f4e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-08d86651-88cf-4a54-9983-bfba9c506f4e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-92461a66-9909-4ea2-a235-49f91341b9a9' class='xr-var-data-in' type='checkbox'><label for='data-92461a66-9909-4ea2-a235-49f91341b9a9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-413c182d-18d3-4de1-bb02-66c6e778472d' class='xr-section-summary-in' type='checkbox'  ><label for='section-413c182d-18d3-4de1-bb02-66c6e778472d' class='xr-section-summary' >Indexes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-52b4b786-6e5a-4f85-a4d0-02d2157f99ab' class='xr-index-data-in' type='checkbox'/><label for='index-52b4b786-6e5a-4f85-a4d0-02d2157f99ab' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-a4e3ca3b-286e-4e97-a330-321eb22b9669' class='xr-index-data-in' type='checkbox'/><label for='index-a4e3ca3b-286e-4e97-a330-321eb22b9669' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-e824efcb-ae33-4a9c-ae1f-a3ed329f0b3e' class='xr-index-data-in' type='checkbox'/><label for='index-e824efcb-ae33-4a9c-ae1f-a3ed329f0b3e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>conf_int</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-61844b16-8e51-45e6-a3e1-a5899033973d' class='xr-index-data-in' type='checkbox'/><label for='index-61844b16-8e51-45e6-a3e1-a5899033973d' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(RangeIndex(start=0, stop=2, step=1, name=&#x27;conf_int&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-aa7f10c3-acef-4cae-9598-dc4d68435a50' class='xr-section-summary-in' type='checkbox'  checked><label for='section-aa7f10c3-acef-4cae-9598-dc4d68435a50' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4, conf_int: 2)> Size: 3kB\n",
       "-0.01117 0.008315 0.1505 0.1702 0.1918 ... -0.02513 -0.01399 -0.05087 -0.02603\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * conf_int   (conf_int) int64 16B 0 1\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sm.conf_int(alpha=0.05)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Covariance and Variance\n",
    "\n",
    "The method [cov_params](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.cov_params.html) computes the covariance matrix. Note that we can recover the variances from the diagonal elements of the matrix."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.020642Z",
     "iopub.status.busy": "2025-06-27T05:20:51.020279Z",
     "iopub.status.idle": "2025-06-27T05:20:51.069748Z",
     "shell.execute_reply": "2025-06-27T05:20:51.069409Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor_r: 4, regressor_c: 4)&gt; Size: 5kB\n",
       "2.472e-05 -4.509e-08 -5.209e-08 3.787e-07 ... 2.327e-07 7.423e-07 4.014e-05\n",
       "Coordinates:\n",
       "  * regressor_r  (regressor_r) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * regressor_c  (regressor_c) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo       (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel      (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source       (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector     (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor_r</span>: 4</li><li><span class='xr-has-index'>regressor_c</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-7d88075d-44cf-4feb-89c3-4fcc38cb5036' class='xr-array-in' type='checkbox' ><label for='section-7d88075d-44cf-4feb-89c3-4fcc38cb5036' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>2.472e-05 -4.509e-08 -5.209e-08 ... 2.327e-07 7.423e-07 4.014e-05</span></div><div class='xr-array-data'><pre>array([[[[ 2.47168782e-05, -4.50853307e-08, -5.20909697e-08,\n",
       "           3.78702739e-07],\n",
       "         [-4.50853307e-08,  2.51430716e-05,  4.97868200e-07,\n",
       "          -3.61951509e-06],\n",
       "         [-5.20909697e-08,  4.97868200e-07,  2.52873910e-05,\n",
       "          -4.18193785e-06],\n",
       "         [ 3.78702739e-07, -3.61951509e-06, -4.18193785e-06,\n",
       "           3.04027997e-05]],\n",
       "\n",
       "        [[ 5.76067015e-06, -1.45486469e-10, -1.14813385e-10,\n",
       "          -7.59462367e-09],\n",
       "         [-1.45486469e-10,  5.76226403e-06,  1.26823628e-09,\n",
       "           8.38907179e-08],\n",
       "         [-1.14813385e-10,  1.26823628e-09,  5.76165783e-06,\n",
       "           6.62039384e-08],\n",
       "         [-7.59462367e-09,  8.38907179e-08,  6.62039384e-08,\n",
       "           4.37922808e-06]]],\n",
       "\n",
       "\n",
       "       [[[ 9.25252533e-06, -1.68772594e-08, -1.94997529e-08,\n",
       "...\n",
       "           1.70908245e-05]]],\n",
       "\n",
       "\n",
       "       [[[ 5.26813251e-05, -1.16938033e-07, -1.05730858e-07,\n",
       "           1.29817475e-06],\n",
       "         [-1.16938033e-07,  5.34262788e-05,  6.89765399e-07,\n",
       "          -8.46901308e-06],\n",
       "         [-1.05730858e-07,  6.89765399e-07,  5.32870595e-05,\n",
       "          -7.65735489e-06],\n",
       "         [ 1.29817475e-06, -8.46901308e-06, -7.65735489e-06,\n",
       "           9.40178194e-05]],\n",
       "\n",
       "        [[ 8.06296564e-06, -1.00385312e-09, -3.20265719e-09,\n",
       "          -1.73171265e-07],\n",
       "         [-1.00385312e-09,  8.06356738e-06,  4.30328922e-09,\n",
       "           2.32683672e-07],\n",
       "         [-3.20265719e-09,  4.30328922e-09,  8.07594760e-06,\n",
       "           7.42345685e-07],\n",
       "         [-1.73171265e-07,  2.32683672e-07,  7.42345685e-07,\n",
       "           4.01394634e-05]]]])</pre></div></div></li><li class='xr-section-item'><input id='section-97ff6a37-8d9f-4f6b-b451-185ca04d98d3' class='xr-section-summary-in' type='checkbox'  checked><label for='section-97ff6a37-8d9f-4f6b-b451-185ca04d98d3' class='xr-section-summary' >Coordinates: <span>(6)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor_r</span></div><div class='xr-var-dims'>(regressor_r)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-d8ab54ca-bc51-484f-9504-3ad00312743c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d8ab54ca-bc51-484f-9504-3ad00312743c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c7439466-812b-4bf1-a735-d7aae667fdb5' class='xr-var-data-in' type='checkbox'><label for='data-c7439466-812b-4bf1-a735-d7aae667fdb5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor_c</span></div><div class='xr-var-dims'>(regressor_c)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-3520295e-2312-4853-bf72-152954183b99' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3520295e-2312-4853-bf72-152954183b99' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e3f0c77d-9fa0-4264-8718-23f68cce70c6' class='xr-var-data-in' type='checkbox'><label for='data-e3f0c77d-9fa0-4264-8718-23f68cce70c6' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-0feec566-7214-441e-865e-28ae37c22b03' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0feec566-7214-441e-865e-28ae37c22b03' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8ea6064b-60e9-4793-9647-2091ee101ae9' class='xr-var-data-in' type='checkbox'><label for='data-8ea6064b-60e9-4793-9647-2091ee101ae9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-9f9f504a-e010-4019-afb7-7d9018dd6af1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9f9f504a-e010-4019-afb7-7d9018dd6af1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ae5771a6-cd2a-4fab-944d-8bf023241571' class='xr-var-data-in' type='checkbox'><label for='data-ae5771a6-cd2a-4fab-944d-8bf023241571' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-62904b5a-6ff1-46cb-8362-192b2f77e6f5' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-62904b5a-6ff1-46cb-8362-192b2f77e6f5' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f6114e64-2333-448d-ba0d-8281071b80f2' class='xr-var-data-in' type='checkbox'><label for='data-f6114e64-2333-448d-ba0d-8281071b80f2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-9c827e5f-fc99-4cba-a5ba-2dc7481ec756' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9c827e5f-fc99-4cba-a5ba-2dc7481ec756' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-50223557-b160-4018-935d-7faaeb73c70b' class='xr-var-data-in' type='checkbox'><label for='data-50223557-b160-4018-935d-7faaeb73c70b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-dfbeef00-6c47-45a1-b4e4-4ca7e0aafa86' class='xr-section-summary-in' type='checkbox'  ><label for='section-dfbeef00-6c47-45a1-b4e4-4ca7e0aafa86' class='xr-section-summary' >Indexes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-c2ba7b81-1f58-47b6-8f3f-3560210ef94e' class='xr-index-data-in' type='checkbox'/><label for='index-c2ba7b81-1f58-47b6-8f3f-3560210ef94e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-6aa6ae3e-eedd-430e-bfd3-cf6494c3048f' class='xr-index-data-in' type='checkbox'/><label for='index-6aa6ae3e-eedd-430e-bfd3-cf6494c3048f' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor_r</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-e4289878-abe5-43fd-820a-83b8e656dd80' class='xr-index-data-in' type='checkbox'/><label for='index-e4289878-abe5-43fd-820a-83b8e656dd80' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor_r&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor_c</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-fcbb3523-5e25-4c85-99bc-20a4641981ab' class='xr-index-data-in' type='checkbox'/><label for='index-fcbb3523-5e25-4c85-99bc-20a4641981ab' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor_c&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4210ff09-2abd-4612-a4eb-98a8635df6d4' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4210ff09-2abd-4612-a4eb-98a8635df6d4' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor_r: 4, regressor_c: 4)> Size: 5kB\n",
       "2.472e-05 -4.509e-08 -5.209e-08 3.787e-07 ... 2.327e-07 7.423e-07 4.014e-05\n",
       "Coordinates:\n",
       "  * regressor_r  (regressor_r) object 32B 'HRF control' ... 'short'\n",
       "  * regressor_c  (regressor_c) object 32B 'HRF control' ... 'short'\n",
       "  * chromo       (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel      (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source       (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S8' 'S8'\n",
       "    detector     (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sm.cov_params()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we visualize the covariance matrix for a single regressor:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.071337Z",
     "iopub.status.busy": "2025-06-27T05:20:51.071158Z",
     "iopub.status.idle": "2025-06-27T05:20:51.204380Z",
     "shell.execute_reply": "2025-06-27T05:20:51.203794Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAbwAAAGiCAYAAACcbHM0AAAAOnRFWHRTb2Z0d2FyZQBNYXRwbG90bGliIHZlcnNpb24zLjEwLjMsIGh0dHBzOi8vbWF0cGxvdGxpYi5vcmcvZiW1igAAAAlwSFlzAAAPYQAAD2EBqD+naQAAItJJREFUeJzt3X9wVOXB9vFrzY8NrWQVMCGUEELVCKFYmqhZXwGFaTCZMtjydujoxNha23T4MZLyVIN2qu10YltqkVGhtIC11B/v2wVLB6RkKpvokFRCk0IlpLRGkvJkpVDdRVo3hN7vH77sPGs2IcE9m03u72fmzHjO3vfJlbt1Ls/uOVmXMcYIAIBR7rLhDgAAQCJQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACs4WnjvvPOOKioq5PF45PF4VFFRoXfffXfAOffcc49cLlfUVlJS4mRMAIAFUp08+Z133qm///3v2rNnjyTpa1/7mioqKvTb3/52wHm33367tm7dGtlPT093MiYAwAKOFV5bW5v27NmjpqYm3XTTTZKkn/3sZ/J6vWpvb1dBQUG/c91utyZOnOhUNACAhRwrvMbGRnk8nkjZSVJJSYk8Ho/2798/YOH5/X5lZWXpiiuu0Lx58/T9739fWVlZMceGw2GFw+HI/n/+8x/985//1Pjx4+VyueL3CwEAEsIYozNnzmjSpEm67LL4ffLmWOEFAoGYJZWVlaVAINDvvLKyMn3xi19UXl6eOjo69O1vf1vz58/XwYMH5Xa7+4yvra3Vo48+GtfsAIDh19XVpcmTJ8ftfEMuvEceeeSiBXPgwAFJinmFZYwZ8Mpr6dKlkX+eOXOmiouLlZeXp127dukLX/hCn/E1NTWqrq6O7AeDQU2ZMkWPvPK/lHG5ox9R4v+rqyga7giAo0xKynBHsErv+bAa2tdr7NixcT3vkBth+fLl+tKXvjTgmKlTp+rQoUN6++23+7z2j3/8Q9nZ2YP+eTk5OcrLy9OxY8divu52u2Ne+WVcnkrhJUhqSt/1B0YTCm94xPtjqSE3woQJEzRhwoSLjvN6vQoGg3r99dd14403SpL+8Ic/KBgM6uabbx70zzt9+rS6urqUk5Mz1KgAAEQ49hze9OnTdfvtt+u+++5TU1OTmpqadN999+lzn/tc1A0r1113nXbs2CFJeu+997R69Wo1Njbqrbfekt/v16JFizRhwgR9/vOfdyoqAMACjj54/qtf/Uqf+tSnVFpaqtLSUs2aNUu//OUvo8a0t7crGAxKklJSUnT48GEtXrxY1157rSorK3XttdeqsbEx7u/lAgDs4uiHXOPGjdO2bdsGHGOMifzzmDFj9Lvf/c7JSAAAS/G3NAEAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWSEjhPf3008rPz1dGRoaKior06quvDji+vr5eRUVFysjI0LRp07Rx48ZExAQAjGKOF96LL76o+++/Xw899JBaWlo0Z84clZWVqbOzM+b4jo4OlZeXa86cOWppadGaNWu0cuVK+Xw+p6MCAEYxlzHGOPkDbrrpJn3mM5/Rhg0bIsemT5+uO+64Q7W1tX3GP/DAA9q5c6fa2toix6qqqvSnP/1JjY2NF/15oVBIHo9Hj70+TxmXp8bnl8CAXv7fNw53BMBRJiVluCNYpfd8WK8c+ZGCwaAyMzPjdl5Hr/B6enp08OBBlZaWRh0vLS3V/v37Y85pbGzsM37hwoVqbm7WuXPn+owPh8MKhUJRGwAAH+Zo4Z06dUrnz59XdnZ21PHs7GwFAoGYcwKBQMzxvb29OnXqVJ/xtbW18ng8kS03Nzd+vwAAYNRIyE0rLpcrat8Y0+fYxcbHOi5JNTU1CgaDka2rqysOiQEAo42jH3JNmDBBKSkpfa7mTp482ecq7oKJEyfGHJ+amqrx48f3Ge92u+V2u+MXGgAwKjl6hZeenq6ioiLV1dVFHa+rq9PNN98cc47X6+0zfu/evSouLlZaWppjWQEAo5vjb2lWV1fr5z//ubZs2aK2tjatWrVKnZ2dqqqqkvTBW5J33313ZHxVVZWOHz+u6upqtbW1acuWLdq8ebNWr17tdFQAwCjm+H37S5cu1enTp/Xd735X3d3dmjlzpnbv3q28vDxJUnd3d9Qzefn5+dq9e7dWrVqlp556SpMmTdL69eu1ZMkSp6MCAEYxx5/DSzSew0s8nsPDaMdzeIk1Ip/DAwAgWVB4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArUHgAACtQeAAAK1B4AAArJKTwnn76aeXn5ysjI0NFRUV69dVX+x3r9/vlcrn6bEePHk1EVADAKOV44b344ou6//779dBDD6mlpUVz5sxRWVmZOjs7B5zX3t6u7u7uyHbNNdc4HRUAMIo5XniPP/647r33Xn31q1/V9OnTtW7dOuXm5mrDhg0DzsvKytLEiRMjW0pKitNRAQCjWKqTJ+/p6dHBgwf14IMPRh0vLS3V/v37B5w7e/Zsvf/++5oxY4Yefvhh3XbbbTHHhcNhhcPhyH4oFJIk1VUUKTXF/RF/AwzGku39v0UNZ/x66a3DHcEqpu3N4Y5gFWPOOXJeR6/wTp06pfPnzys7OzvqeHZ2tgKBQMw5OTk52rRpk3w+n7Zv366CggItWLBADQ0NMcfX1tbK4/FEttzc3Lj/HgCAkc/RK7wLXC5X1L4xps+xCwoKClRQUBDZ93q96urq0tq1azV37tw+42tqalRdXR3ZD4VClB4AoA9Hr/AmTJiglJSUPldzJ0+e7HPVN5CSkhIdO3Ys5mtut1uZmZlRGwAAH+Zo4aWnp6uoqEh1dXVRx+vq6nTzzTcP+jwtLS3KycmJdzwAgEUcf0uzurpaFRUVKi4ultfr1aZNm9TZ2amqqipJH7wleeLECT377LOSpHXr1mnq1KkqLCxUT0+Ptm3bJp/PJ5/P53RUAMAo5njhLV26VKdPn9Z3v/tddXd3a+bMmdq9e7fy8vIkSd3d3VHP5PX09Gj16tU6ceKExowZo8LCQu3atUvl5eVORwUAjGIuY4wZ7hDxFAqF5PF4tKCgmscSEoTHEhKPxxISi8cSEqvXnNO+c/9XwWAwrvdl8Lc0AQBWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVqDwAABWoPAAAFag8AAAVnC08BoaGrRo0SJNmjRJLpdLL7300kXn1NfXq6ioSBkZGZo2bZo2btzoZEQAgCUcLbyzZ8/q+uuv15NPPjmo8R0dHSovL9ecOXPU0tKiNWvWaOXKlfL5fE7GBABYINXJk5eVlamsrGzQ4zdu3KgpU6Zo3bp1kqTp06erublZa9eu1ZIlS2LOCYfDCofDkf1QKPSRMgMARqek+gyvsbFRpaWlUccWLlyo5uZmnTt3Luac2tpaeTyeyJabm5uIqACAESapCi8QCCg7OzvqWHZ2tnp7e3Xq1KmYc2pqahQMBiNbV1dXIqICAEYYR9/SvBQulytq3xgT8/gFbrdbbrfb8VwAgJEtqa7wJk6cqEAgEHXs5MmTSk1N1fjx44cpFQBgNEiqwvN6vaqrq4s6tnfvXhUXFystLW2YUgEARgNHC++9995Ta2urWltbJX3w2EFra6s6OzslffD529133x0ZX1VVpePHj6u6ulptbW3asmWLNm/erNWrVzsZEwBgAUc/w2tubtZtt90W2a+urpYkVVZW6plnnlF3d3ek/CQpPz9fu3fv1qpVq/TUU09p0qRJWr9+fb+PJAAAMFiOFt6tt94auekklmeeeabPsXnz5umPf/yjg6kAADZKqs/wAABwCoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALCCo4XX0NCgRYsWadKkSXK5XHrppZcGHO/3++VyufpsR48edTImAMACqU6e/OzZs7r++uv15S9/WUuWLBn0vPb2dmVmZkb2r7rqKifiAQAs4mjhlZWVqaysbMjzsrKydMUVVwxqbDgcVjgcjuyHQqEh/zwAwOjnaOFdqtmzZ+v999/XjBkz9PDDD+u2227rd2xtba0effTRBKbDh/166a3DHcE6S//PK8MdwSrPXzdpuCNYxZhzjpw3qW5aycnJ0aZNm+Tz+bR9+3YVFBRowYIFamho6HdOTU2NgsFgZOvq6kpgYgDASJFUV3gFBQUqKCiI7Hu9XnV1dWnt2rWaO3duzDlut1tutztREQEAI1RSXeHFUlJSomPHjg13DADACJf0hdfS0qKcnJzhjgEAGOEcfUvzvffe01//+tfIfkdHh1pbWzVu3DhNmTJFNTU1OnHihJ599llJ0rp16zR16lQVFhaqp6dH27Ztk8/nk8/nczImAMACjhZec3Nz1B2W1dXVkqTKyko988wz6u7uVmdnZ+T1np4erV69WidOnNCYMWNUWFioXbt2qby83MmYAAALuIwxZrhDxFMoFJLH49GCgmqlpnAzSyKYtJThjmAdHktILB5LSKxec05+/UbBYDDqj5B8VEn/GR4AAPFA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArOBo4dXW1uqGG27Q2LFjlZWVpTvuuEPt7e0XnVdfX6+ioiJlZGRo2rRp2rhxo5MxAQAWcLTw6uvrtWzZMjU1Namurk69vb0qLS3V2bNn+53T0dGh8vJyzZkzRy0tLVqzZo1Wrlwpn8/nZFQAwCiX6uTJ9+zZE7W/detWZWVl6eDBg5o7d27MORs3btSUKVO0bt06SdL06dPV3NystWvXasmSJU7GBQCMYgn9DC8YDEqSxo0b1++YxsZGlZaWRh1buHChmpubde7cuT7jw+GwQqFQ1AYAwIclrPCMMaqurtYtt9yimTNn9jsuEAgoOzs76lh2drZ6e3t16tSpPuNra2vl8XgiW25ubtyzAwBGvoQV3vLly3Xo0CE9//zzFx3rcrmi9o0xMY9LUk1NjYLBYGTr6uqKT2AAwKji6Gd4F6xYsUI7d+5UQ0ODJk+ePODYiRMnKhAIRB07efKkUlNTNX78+D7j3W633G53XPMCAEYfR6/wjDFavny5tm/frldeeUX5+fkXneP1elVXVxd1bO/evSouLlZaWppTUQEAo5yjhbds2TJt27ZNzz33nMaOHatAIKBAIKB///vfkTE1NTW6++67I/tVVVU6fvy4qqur1dbWpi1btmjz5s1avXq1k1EBAKOco4W3YcMGBYNB3XrrrcrJyYlsL774YmRMd3e3Ojs7I/v5+fnavXu3/H6/Pv3pT+t73/ue1q9fzyMJAICPxNHP8C7cbDKQZ555ps+xefPm6Y9//KMDiQAAtuJvaQIArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCs4Gjh1dbW6oYbbtDYsWOVlZWlO+64Q+3t7QPO8fv9crlcfbajR486GRUAMMo5Wnj19fVatmyZmpqaVFdXp97eXpWWlurs2bMXndve3q7u7u7Ids011zgZFQAwyqU6efI9e/ZE7W/dulVZWVk6ePCg5s6dO+DcrKwsXXHFFQ6mAwDYxNHC+7BgMChJGjdu3EXHzp49W++//75mzJihhx9+WLfddlvMceFwWOFwOLIfCoUkSSYlRSYlJQ6pcTGm7c3hjmCd56+bNNwRrPK7/24d7ghWCZ35j668Nv7nTdhNK8YYVVdX65ZbbtHMmTP7HZeTk6NNmzbJ5/Np+/btKigo0IIFC9TQ0BBzfG1trTweT2TLzc116lcAAIxgLmOMScQPWrZsmXbt2qXXXntNkydPHtLcRYsWyeVyaefOnX1ei3WFl5ubq/kz/kupKe6PnBsXZ9q5wks0c65nuCNYhSu8xPrgCu9NBYNBZWZmxu28CbnCW7FihXbu3Kl9+/YNuewkqaSkRMeOHYv5mtvtVmZmZtQGAMCHOfoZnjFGK1as0I4dO+T3+5Wfn39J52lpaVFOTk6c0wEAbOJo4S1btkzPPfecfvOb32js2LEKBAKSJI/HozFjxkiSampqdOLECT377LOSpHXr1mnq1KkqLCxUT0+Ptm3bJp/PJ5/P52RUAMAo52jhbdiwQZJ06623Rh3funWr7rnnHklSd3e3Ojs7I6/19PRo9erVOnHihMaMGaPCwkLt2rVL5eXlTkYFAIxyCbtpJVFCoZA8Hg83rSQQN60kHjetJBY3rSTWiL5pBQCA4UbhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCsQOEBAKxA4QEArEDhAQCs4GjhbdiwQbNmzVJmZqYyMzPl9Xr18ssvDzinvr5eRUVFysjI0LRp07Rx40YnIwIALOFo4U2ePFmPPfaYmpub1dzcrPnz52vx4sV64403Yo7v6OhQeXm55syZo5aWFq1Zs0YrV66Uz+dzMiYAwAIuY4xJ5A8cN26cfvSjH+nee+/t89oDDzygnTt3qq2tLXKsqqpKf/rTn9TY2Dio84dCIXk8Hs2f8V9KTXHHLTf6Z9rfHO4I1jHneoY7glV+99+twx3BKqEz/9GV176pYDCozMzMuJ03YZ/hnT9/Xi+88ILOnj0rr9cbc0xjY6NKS0ujji1cuFDNzc06d+5czDnhcFihUChqAwDgwxwvvMOHD+vyyy+X2+1WVVWVduzYoRkzZsQcGwgElJ2dHXUsOztbvb29OnXqVMw5tbW18ng8kS03NzfuvwMAYORzvPAKCgrU2tqqpqYmfeMb31BlZaWOHDnS73iXyxW1f+Ed1w8fv6CmpkbBYDCydXV1xS88AGDUSHX6B6Snp+vqq6+WJBUXF+vAgQN64okn9NOf/rTP2IkTJyoQCEQdO3nypFJTUzV+/PiY53e73XK7+awOADCwhD+HZ4xROByO+ZrX61VdXV3Usb1796q4uFhpaWmJiAcAGKUcLbw1a9bo1Vdf1VtvvaXDhw/roYcekt/v11133SXpg7cj77777sj4qqoqHT9+XNXV1Wpra9OWLVu0efNmrV692smYAAALOPqW5ttvv62Kigp1d3fL4/Fo1qxZ2rNnjz772c9Kkrq7u9XZ2RkZn5+fr927d2vVqlV66qmnNGnSJK1fv15LlixxMiYAwAIJfw7PaTyHl3g8h5d4PIeXWDyHl1gj/jk8AACGE4UHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsAKFBwCwAoUHALAChQcAsIKjhbdhwwbNmjVLmZmZyszMlNfr1csvv9zveL/fL5fL1Wc7evSokzEBABZIdfLkkydP1mOPPaarr75akvSLX/xCixcvVktLiwoLC/ud197erszMzMj+VVdd5WRMAIAFHC28RYsWRe1///vf14YNG9TU1DRg4WVlZemKK64Y1M8Ih8MKh8OR/WAwKEnqPR/ubwrizJhzwx3BOqx5YoXO/Ge4I1gl9N4H622Mie+JTYL09vaa559/3qSnp5s33ngj5ph9+/YZSWbq1Klm4sSJZv78+eaVV14Z8Lzf+c53jCQ2NjY2tlG2/e1vf4trD7mMiXeFRjt8+LC8Xq/ef/99XX755XruuedUXl4ec2x7e7saGhpUVFSkcDisX/7yl9q4caP8fr/mzp0bc86Hr/Deffdd5eXlqbOzUx6Px5HfySmhUEi5ubnq6uqKeks32ZE7scideCM1+0jNHQwGNWXKFL3zzjuDfrdvMBx9S1OSCgoK1NraqnfffVc+n0+VlZWqr6/XjBkzYo4tKCiI7Hu9XnV1dWnt2rX9Fp7b7Zbb7e5z3OPxjKj/gf+nCzf5jDTkTixyJ95IzT5Sc192WXzvq3T8sYT09HRdffXVKi4uVm1tra6//no98cQTg55fUlKiY8eOOZgQAGCDhD+HZ4yJegvyYlpaWpSTk+NgIgCADRx9S3PNmjUqKytTbm6uzpw5oxdeeEF+v1979uyRJNXU1OjEiRN69tlnJUnr1q3T1KlTVVhYqJ6eHm3btk0+n08+n2/QP9Ptdus73/lOzLc5k91IzU7uxCJ34o3U7OSO5uhNK/fee69+//vfq7u7Wx6PR7NmzdIDDzygz372s5Kke+65R2+99Zb8fr8k6Yc//KE2bdqkEydOaMyYMSosLFRNTU2/N7kAADBYjt+lCQBAMuBvaQIArEDhAQCsQOEBAKxA4QEArDAqCu+dd95RRUWFPB6PPB6PKioq9O677w4455577unzNUQlJSWO5nz66aeVn5+vjIwMFRUV6dVXXx1wfH19vYqKipSRkaFp06Zp48aNjuYbyFCyJ8vXPDU0NGjRokWaNGmSXC6XXnrppYvOSYY1H2ruZFjv2tpa3XDDDRo7dqyysrJ0xx13qL29/aLzkmG9LyV7Mqz5UL9+TUqO9R7Or40bFYV35513qrW1VXv27NGePXvU2tqqioqKi867/fbb1d3dHdl2797tWMYXX3xR999/vx566CG1tLRozpw5KisrU2dnZ8zxHR0dKi8v15w5c9TS0qI1a9Zo5cqVQ3omMV6Gmv2C9vb2qPW95pprEpT4A2fPntX111+vJ598clDjk2XNh5r7guFc7/r6ei1btkxNTU2qq6tTb2+vSktLdfbs2X7nJMt6X0r2C4ZzzS98/Vpzc7Oam5s1f/58LV68WG+88UbM8cmy3kPNfUFc1jquf4p6GBw5csRIMk1NTZFjjY2NRpI5evRov/MqKyvN4sWLE5DwAzfeeKOpqqqKOnbdddeZBx98MOb4b33rW+a6666LOvb1r3/dlJSUOJaxP0PNfuFbL955550EpBscSWbHjh0DjkmmNb9gMLmTcb1PnjxpJJn6+vp+xyTjehszuOzJuObGGHPllVean//85zFfS9b1Nmbg3PFc6xF/hdfY2CiPx6ObbropcqykpEQej0f79+8fcK7f71dWVpauvfZa3XfffTp58qQjGXt6enTw4EGVlpZGHS8tLe03Y2NjY5/xCxcuVHNzs86dS9x3oV1K9gtmz56tnJwcLViwQPv27XMyZlwky5pfqmRa7wvfSzlu3Lh+xyTreg8m+wXJsubnz5/XCy+8oLNnz8rr9cYck4zrPZjcF8RjrUd84QUCAWVlZfU5npWVpUAg0O+8srIy/epXv9Irr7yiH//4xzpw4IDmz58/pL/zOVinTp3S+fPnlZ2dHXU8Ozu734yBQCDm+N7eXp06dSruGftzKdlzcnK0adMm+Xw+bd++XQUFBVqwYIEaGhoSEfmSJcuaD1WyrbcxRtXV1brllls0c+bMfscl43oPNnuyrPnhw4d1+eWXy+12q6qqSjt27Ij5TTRScq33UHLHc60d/3qgS/XII4/o0UcfHXDMgQMHJEkul6vPa8aYmMcvWLp0aeSfZ86cqeLiYuXl5WnXrl36whe+cImpB/bhPBfLGGt8rOOJMJTsl/I1T8kimdZ8sJJtvZcvX65Dhw7ptddeu+jYZFvvwWZPljUfytevScmz3k5/bVx/krbwli9fri996UsDjpk6daoOHTqkt99+u89r//jHP/r818xAcnJylJeX58hXEU2YMEEpKSl9rohOnjzZb8aJEyfGHJ+amqrx48fHPWN/LiV7LCUlJdq2bVu848VVsqx5PAzXeq9YsUI7d+5UQ0ODJk+ePODYZFvvoWSPZTjW/MLXr0lScXGxDhw4oCeeeEI//elP+4xNpvUeSu5YLnWtk7bwJkyYoAkTJlx0nNfrVTAY1Ouvv64bb7xRkvSHP/xBwWBQN99886B/3unTp9XV1eXIVxGlp6erqKhIdXV1+vznPx85XldXp8WLF8ec4/V69dvf/jbq2N69e1VcXKy0tLS4Z+zPpWSPZSR8zVOyrHk8JHq9jTFasWKFduzYIb/fr/z8/IvOSZb1vpTssSTD/8fNAF+/lizrHctAuWO55LX+yLe9JIHbb7/dzJo1yzQ2NprGxkbzqU99ynzuc5+LGlNQUGC2b99ujDHmzJkz5pvf/KbZv3+/6ejoMPv27TNer9d84hOfMKFQyJGML7zwgklLSzObN282R44cMffff7/5+Mc/bt566y1jjDEPPvigqaioiIx/8803zcc+9jGzatUqc+TIEbN582aTlpZmfv3rXzuSL57Zf/KTn5gdO3aYv/zlL+bPf/6zefDBB40k4/P5Epr7zJkzpqWlxbS0tBhJ5vHHHzctLS3m+PHjMXMny5oPNXcyrPc3vvEN4/F4jN/vN93d3ZHtX//6V2RMsq73pWRPhjWvqakxDQ0NpqOjwxw6dMisWbPGXHbZZWbv3r0xMyfLeg81dzzXelQU3unTp81dd91lxo4da8aOHWvuuuuuPrewSjJbt241xhjzr3/9y5SWlpqrrrrKpKWlmSlTppjKykrT2dnpaM6nnnrK5OXlmfT0dPOZz3wm6rbnyspKM2/evKjxfr/fzJ4926Snp5upU6eaDRs2OJpvIEPJ/oMf/MB88pOfNBkZGebKK680t9xyi9m1a1fCM1+4nfnDW2VlZczcxiTHmg81dzKsd6y8//PfuVi5jUmO9b6U7Mmw5l/5ylci/05eddVVZsGCBZHSiJXZmORY76Hmjuda8/VAAAArjPjHEgAAGAwKDwBgBQoPAGAFCg8AYAUKDwBgBQoPAGAFCg8AYAUKDwBgBQoPAGAFCg8AYAUKDwBghf8H+4WWPxHMJRgAAAAASUVORK5CYII=",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p.imshow(results.sm.cov_params()[0,0,:,:]);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The convenience function `sm.regressor_variances` computes the variances of the regressors, i.e. the diagonal elements of the covariance matrices."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.206206Z",
     "iopub.status.busy": "2025-06-27T05:20:51.206033Z",
     "iopub.status.idle": "2025-06-27T05:20:51.254212Z",
     "shell.execute_reply": "2025-06-27T05:20:51.253699Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4)&gt; Size: 1kB\n",
       "2.472e-05 2.514e-05 2.529e-05 3.04e-05 ... 8.064e-06 8.076e-06 4.014e-05\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-b587ab68-ec28-4045-9613-91e5f911258c' class='xr-array-in' type='checkbox' ><label for='section-b587ab68-ec28-4045-9613-91e5f911258c' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>2.472e-05 2.514e-05 2.529e-05 ... 8.064e-06 8.076e-06 4.014e-05</span></div><div class='xr-array-data'><pre>array([[[2.47168782e-05, 2.51430716e-05, 2.52873910e-05, 3.04027997e-05],\n",
       "        [5.76067015e-06, 5.76226403e-06, 5.76165783e-06, 4.37922808e-06]],\n",
       "\n",
       "       [[9.25252533e-06, 9.41206674e-06, 9.46609133e-06, 1.13809953e-05],\n",
       "        [2.84585073e-06, 2.84663813e-06, 2.84633866e-06, 2.16339924e-06]],\n",
       "\n",
       "       [[1.41318809e-05, 1.43755571e-05, 1.44580718e-05, 1.73828079e-05],\n",
       "        [5.01450626e-06, 5.01589369e-06, 5.01536601e-06, 3.81199861e-06]],\n",
       "\n",
       "       [[5.99226534e-06, 6.06213857e-06, 6.13765373e-06, 8.23472634e-06],\n",
       "        [1.11973822e-06, 1.11969510e-06, 1.12022126e-06, 2.27817767e-06]],\n",
       "\n",
       "       [[9.65882046e-06, 9.77144781e-06, 9.89316929e-06, 1.32734014e-05],\n",
       "        [2.88486130e-06, 2.88475020e-06, 2.88610578e-06, 5.86943132e-06]],\n",
       "\n",
       "       [[1.01173134e-05, 1.02352871e-05, 1.03627865e-05, 1.39034743e-05],\n",
       "        [1.99664212e-06, 1.99656523e-06, 1.99750344e-06, 4.06229367e-06]],\n",
       "\n",
       "       [[1.50792759e-05, 1.52417723e-05, 1.54250991e-05, 2.61369715e-05],\n",
       "        [1.02452283e-05, 1.03746652e-05, 1.03066644e-05, 3.46033076e-05]],\n",
       "...\n",
       "       [[6.01329141e-06, 6.11543702e-06, 6.11728674e-06, 7.78679627e-06],\n",
       "        [1.38613345e-06, 1.39889818e-06, 1.39281946e-06, 9.83814746e-07]],\n",
       "\n",
       "       [[6.91346984e-06, 7.03090646e-06, 7.03303308e-06, 8.95246505e-06],\n",
       "        [1.87237496e-06, 1.88961743e-06, 1.88140636e-06, 1.32892695e-06]],\n",
       "\n",
       "       [[1.58642313e-05, 1.61337113e-05, 1.61385912e-05, 2.05430818e-05],\n",
       "        [2.82129387e-06, 2.84727481e-06, 2.83490237e-06, 2.00242661e-06]],\n",
       "\n",
       "       [[1.72723330e-05, 1.75563623e-05, 1.75966678e-05, 2.06778866e-05],\n",
       "        [7.21543667e-06, 7.26941609e-06, 7.23606934e-06, 9.81268089e-06]],\n",
       "\n",
       "       [[1.70019622e-05, 1.72815455e-05, 1.73212200e-05, 2.03542072e-05],\n",
       "        [3.53595046e-06, 3.56240326e-06, 3.54606157e-06, 4.80873925e-06]],\n",
       "\n",
       "       [[9.53063789e-06, 9.66540831e-06, 9.64022198e-06, 1.70088697e-05],\n",
       "        [3.43309848e-06, 3.43335469e-06, 3.43862602e-06, 1.70908245e-05]],\n",
       "\n",
       "       [[5.26813251e-05, 5.34262788e-05, 5.32870595e-05, 9.40178194e-05],\n",
       "        [8.06296564e-06, 8.06356738e-06, 8.07594760e-06, 4.01394634e-05]]])</pre></div></div></li><li class='xr-section-item'><input id='section-773c2588-ab4d-4054-9a5b-7c9ae4a9052e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-773c2588-ab4d-4054-9a5b-7c9ae4a9052e' class='xr-section-summary' >Coordinates: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-26bede32-7750-4116-9d28-8d8670284658' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-26bede32-7750-4116-9d28-8d8670284658' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f2f7d550-18d9-4ea8-b3f8-74460ef3d6d5' class='xr-var-data-in' type='checkbox'><label for='data-f2f7d550-18d9-4ea8-b3f8-74460ef3d6d5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-3fadab6c-8585-478e-961c-3e424b9ad364' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3fadab6c-8585-478e-961c-3e424b9ad364' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c7585431-d794-4095-ba16-96659ab1cdc5' class='xr-var-data-in' type='checkbox'><label for='data-c7585431-d794-4095-ba16-96659ab1cdc5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-af83dbdc-91a1-4f4a-9975-900dc61015bc' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-af83dbdc-91a1-4f4a-9975-900dc61015bc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a4798fee-936d-4823-b591-735aded0ed31' class='xr-var-data-in' type='checkbox'><label for='data-a4798fee-936d-4823-b591-735aded0ed31' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-07a9b4fc-9834-4ba5-9484-e4888864eb0e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-07a9b4fc-9834-4ba5-9484-e4888864eb0e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1d1ef474-883e-471b-aadb-7a2a35cbd3b9' class='xr-var-data-in' type='checkbox'><label for='data-1d1ef474-883e-471b-aadb-7a2a35cbd3b9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-bd9c4369-6773-4ea6-98bd-a9e92768ee94' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bd9c4369-6773-4ea6-98bd-a9e92768ee94' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-55f01a15-c89e-40cb-8cc3-7a8dcb520b94' class='xr-var-data-in' type='checkbox'><label for='data-55f01a15-c89e-40cb-8cc3-7a8dcb520b94' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-9a7b45a8-2571-4323-905a-de828c9002c0' class='xr-section-summary-in' type='checkbox'  ><label for='section-9a7b45a8-2571-4323-905a-de828c9002c0' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-82be2501-8742-4fe3-968c-d32e3926a6be' class='xr-index-data-in' type='checkbox'/><label for='index-82be2501-8742-4fe3-968c-d32e3926a6be' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-d2746393-3162-4633-8500-7458da9e8d72' class='xr-index-data-in' type='checkbox'/><label for='index-d2746393-3162-4633-8500-7458da9e8d72' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-5438eea4-7494-47d0-9205-6924b2e762e6' class='xr-index-data-in' type='checkbox'/><label for='index-5438eea4-7494-47d0-9205-6924b2e762e6' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-067105a0-f4d0-43ed-b957-808e1444c0f1' class='xr-section-summary-in' type='checkbox'  checked><label for='section-067105a0-f4d0-43ed-b957-808e1444c0f1' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4)> Size: 1kB\n",
       "2.472e-05 2.514e-05 2.529e-05 3.04e-05 ... 8.064e-06 8.076e-06 4.014e-05\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# returns diagonal elements of the cov matrices\n",
    "results.sm.regressor_variances()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Statistical Tests - T-values, P-values\n",
    "\n",
    "Statsmodels also has sophisticated functionality for performing statistical tests on regression results.\n",
    "\n",
    "The method [t-values](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.tvalues.html) simply returns the t-statistic for each coefficient.\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.255919Z",
     "iopub.status.busy": "2025-06-27T05:20:51.255756Z",
     "iopub.status.idle": "2025-06-27T05:20:51.293774Z",
     "shell.execute_reply": "2025-06-27T05:20:51.293263Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4)&gt; Size: 1kB\n",
       "-0.2875 31.98 40.1 140.2 -1.327 -17.83 ... 97.04 -4.749 -6.089 -6.882 -6.069\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-c1ff8f69-94ff-44a5-80cf-c467bbc63077' class='xr-array-in' type='checkbox' ><label for='section-c1ff8f69-94ff-44a5-80cf-c467bbc63077' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>-0.2875 31.98 40.1 140.2 -1.327 ... 97.04 -4.749 -6.089 -6.882 -6.069</span></div><div class='xr-array-data'><pre>array([[[-2.87507529e-01,  3.19835236e+01,  4.01043674e+01,\n",
       "          1.40181508e+02],\n",
       "        [-1.32674830e+00, -1.78325579e+01, -2.18813461e+01,\n",
       "          6.96867516e+00]],\n",
       "\n",
       "       [[-1.57974878e+00,  2.50850250e+01,  2.68503160e+01,\n",
       "          1.95386505e+02],\n",
       "        [ 5.80595287e-02, -2.35498166e-01, -4.94572232e+00,\n",
       "          7.32725482e+00]],\n",
       "\n",
       "       [[-6.05431596e-01,  2.65198125e+01,  4.84140383e+01,\n",
       "          1.54976453e+02],\n",
       "        [-1.06554918e+00, -1.09888933e+01, -2.53980926e+01,\n",
       "          6.32126781e+00]],\n",
       "\n",
       "       [[-7.74300075e+00,  3.27751379e+01,  2.87073239e+01,\n",
       "          2.61875766e+02],\n",
       "        [-9.13298663e-02, -3.77218729e+00, -1.10338551e+00,\n",
       "          2.57240109e+01]],\n",
       "\n",
       "...\n",
       "\n",
       "       [[-3.28272269e+00,  4.40700892e+01,  4.27250451e+01,\n",
       "          2.26649394e+02],\n",
       "        [-9.51306417e-01,  6.08202440e+00,  1.15115200e+01,\n",
       "          8.63799030e+00]],\n",
       "\n",
       "       [[-2.77707573e+00,  5.37401322e+01,  3.67834410e+01,\n",
       "          2.30298668e+02],\n",
       "        [-2.37249866e+00, -4.57546325e+00,  1.16559596e+01,\n",
       "          1.30420243e+01]],\n",
       "\n",
       "       [[ 9.39444525e-01,  4.29239063e+01,  2.91610133e+01,\n",
       "          2.72904801e+02],\n",
       "        [-2.77988422e+00, -1.97880195e+01, -7.74116767e+00,\n",
       "          4.04131428e+01]],\n",
       "\n",
       "       [[-3.29745368e+00,  1.33672412e+01,  1.04142157e+01,\n",
       "          9.70397551e+01],\n",
       "        [-4.74940917e+00, -6.08855144e+00, -6.88245856e+00,\n",
       "         -6.06890840e+00]]])</pre></div></div></li><li class='xr-section-item'><input id='section-fc9cb443-ffc8-4feb-885f-839d83e61a4c' class='xr-section-summary-in' type='checkbox'  checked><label for='section-fc9cb443-ffc8-4feb-885f-839d83e61a4c' class='xr-section-summary' >Coordinates: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-0a5a7d2e-4bef-4ef5-8286-9e373c3face0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0a5a7d2e-4bef-4ef5-8286-9e373c3face0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-543f3cb5-b7f1-4b74-906b-9eff635a8c9c' class='xr-var-data-in' type='checkbox'><label for='data-543f3cb5-b7f1-4b74-906b-9eff635a8c9c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-e7049ed2-e9ab-4d95-9d4a-6931094038f1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e7049ed2-e9ab-4d95-9d4a-6931094038f1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d5d19580-72b7-498f-8cb3-a5dd1e5f3a35' class='xr-var-data-in' type='checkbox'><label for='data-d5d19580-72b7-498f-8cb3-a5dd1e5f3a35' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-71a5d1cd-e9f7-4ee9-ae94-4071e8ef22f4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-71a5d1cd-e9f7-4ee9-ae94-4071e8ef22f4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ec98267a-cff3-40f9-a4a8-a1ac068252ed' class='xr-var-data-in' type='checkbox'><label for='data-ec98267a-cff3-40f9-a4a8-a1ac068252ed' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-8f4fd15e-2be5-483c-a57e-6fca90aa531e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8f4fd15e-2be5-483c-a57e-6fca90aa531e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-429af220-14df-4a2c-85bf-8014db7d6e9e' class='xr-var-data-in' type='checkbox'><label for='data-429af220-14df-4a2c-85bf-8014db7d6e9e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-c208829d-be01-449a-bf5d-7114db82e05e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c208829d-be01-449a-bf5d-7114db82e05e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-baa7c66a-767f-4e41-8c23-ebe9fa18f685' class='xr-var-data-in' type='checkbox'><label for='data-baa7c66a-767f-4e41-8c23-ebe9fa18f685' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-4c8ced18-c7a0-447f-bca9-2352746aa8f7' class='xr-section-summary-in' type='checkbox'  ><label for='section-4c8ced18-c7a0-447f-bca9-2352746aa8f7' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-a5bf1105-fe41-4567-b21d-4be236921343' class='xr-index-data-in' type='checkbox'/><label for='index-a5bf1105-fe41-4567-b21d-4be236921343' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-0b1e764d-5535-471d-827c-7b9da6839d98' class='xr-index-data-in' type='checkbox'/><label for='index-0b1e764d-5535-471d-827c-7b9da6839d98' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-8f1d4017-790d-412d-be43-afc2b5f66bbb' class='xr-index-data-in' type='checkbox'/><label for='index-8f1d4017-790d-412d-be43-afc2b5f66bbb' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-8b059ef1-85c2-452f-bc12-c260791871ee' class='xr-section-summary-in' type='checkbox'  checked><label for='section-8b059ef1-85c2-452f-bc12-c260791871ee' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4)> Size: 1kB\n",
       "-0.2875 31.98 40.1 140.2 -1.327 -17.83 ... 97.04 -4.749 -6.089 -6.882 -6.069\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "results.sm.tvalues"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The method [t-test](https://www.statsmodels.org/dev/generated/statsmodels.regression.linear_model.RegressionResults.t_test.html#statsmodels.regression.linear_model.RegressionResults.t_test) allows for general linear hypothesis tests.\n",
    "\n",
    "We can specify contrasts either by passing an r-matrix or through strings. See the [patsy documentation](https://patsy.readthedocs.io/en/latest/API-reference.html#patsy.DesignInfo.linear_constraint) for details on specifying linear contrasts using strings.\n",
    "\n",
    "The method returns an array of statsmodel [ContrastResult objects](https://www.statsmodels.org/dev/dev/generated/statsmodels.stats.contrast.ContrastResults.html#statsmodels.stats.contrast.ContrastResults)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.295509Z",
     "iopub.status.busy": "2025-06-27T05:20:51.295341Z",
     "iopub.status.idle": "2025-06-27T05:20:51.466906Z",
     "shell.execute_reply": "2025-06-27T05:20:51.466379Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2)&gt; Size: 320B\n",
       "                             Test for Constraints                            ...\n",
       "Coordinates:\n",
       "  * chromo    (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel   (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source    (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector  (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-6b92bac8-1116-4660-ba1b-4807cfe2fc3b' class='xr-array-in' type='checkbox' ><label for='section-6b92bac8-1116-4660-ba1b-4807cfe2fc3b' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>                             Test for Constraints                  ...</span></div><div class='xr-array-data'><pre>array([[&lt;class &#x27;statsmodels.stats.contrast.ContrastResults&#x27;&gt;\n",
       "                                     Test for Constraints\n",
       "        ==============================================================================\n",
       "                         coef    std err          t      P&gt;|t|      [0.025      0.975]\n",
       "        ------------------------------------------------------------------------------\n",
       "        c0             0.1618      0.007     22.894      0.000       0.148       0.176\n",
       "        c1             0.2031      0.007     28.692      0.000       0.189       0.217\n",
       "        ==============================================================================,\n",
       "        &lt;class &#x27;statsmodels.stats.contrast.ContrastResults&#x27;&gt;\n",
       "                                     Test for Constraints\n",
       "        ==============================================================================\n",
       "                         coef    std err          t      P&gt;|t|      [0.025      0.975]\n",
       "        ------------------------------------------------------------------------------\n",
       "        c0            -0.0396      0.003    -11.672      0.000      -0.046      -0.033\n",
       "        c1            -0.0493      0.003    -14.535      0.000      -0.056      -0.043\n",
       "        ==============================================================================],\n",
       "       [&lt;class &#x27;statsmodels.stats.contrast.ContrastResults&#x27;&gt;\n",
       "                                     Test for Constraints\n",
       "        ==============================================================================\n",
       "                         coef    std err          t      P&gt;|t|      [0.025      0.975]\n",
       "...\n",
       "        c0            -0.0315      0.003    -12.026      0.000      -0.037      -0.026\n",
       "        c1            -0.0092      0.003     -3.510      0.000      -0.014      -0.004\n",
       "        ==============================================================================],\n",
       "       [&lt;class &#x27;statsmodels.stats.contrast.ContrastResults&#x27;&gt;\n",
       "                                     Test for Constraints\n",
       "        ==============================================================================\n",
       "                         coef    std err          t      P&gt;|t|      [0.025      0.975]\n",
       "        ------------------------------------------------------------------------------\n",
       "        c0             0.1216      0.010     11.796      0.000       0.101       0.142\n",
       "        c1             0.1000      0.010      9.700      0.000       0.080       0.120\n",
       "        ==============================================================================,\n",
       "        &lt;class &#x27;statsmodels.stats.contrast.ContrastResults&#x27;&gt;\n",
       "                                     Test for Constraints\n",
       "        ==============================================================================\n",
       "                         coef    std err          t      P&gt;|t|      [0.025      0.975]\n",
       "        ------------------------------------------------------------------------------\n",
       "        c0            -0.0038      0.004     -0.947      0.344      -0.012       0.004\n",
       "        c1            -0.0061      0.004     -1.511      0.131      -0.014       0.002\n",
       "        ==============================================================================]],\n",
       "      dtype=object)</pre></div></div></li><li class='xr-section-item'><input id='section-4aa25f3a-debb-4525-a2d1-2b773fb7f245' class='xr-section-summary-in' type='checkbox'  checked><label for='section-4aa25f3a-debb-4525-a2d1-2b773fb7f245' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-dfec925f-2bb6-4888-a48a-d1db430e5fb9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-dfec925f-2bb6-4888-a48a-d1db430e5fb9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1aa215a6-c474-402b-8895-3bb7dc633348' class='xr-var-data-in' type='checkbox'><label for='data-1aa215a6-c474-402b-8895-3bb7dc633348' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-96027855-c519-4327-8d83-0fb826a16d30' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-96027855-c519-4327-8d83-0fb826a16d30' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a3e70457-812d-4d7b-a039-4432cf368a7d' class='xr-var-data-in' type='checkbox'><label for='data-a3e70457-812d-4d7b-a039-4432cf368a7d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-05adb0e8-c61e-472a-8907-f9f4bdb78246' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-05adb0e8-c61e-472a-8907-f9f4bdb78246' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-7da6af8a-50c0-4847-a838-8b90e4a6f3ba' class='xr-var-data-in' type='checkbox'><label for='data-7da6af8a-50c0-4847-a838-8b90e4a6f3ba' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-6fb75061-5cb9-40fb-a13d-af4f27082bd2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6fb75061-5cb9-40fb-a13d-af4f27082bd2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-81104ab1-b16c-4307-912c-a12a15dd0f3d' class='xr-var-data-in' type='checkbox'><label for='data-81104ab1-b16c-4307-912c-a12a15dd0f3d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-e6d1d986-f1c4-405a-8964-480d347cba15' class='xr-section-summary-in' type='checkbox'  ><label for='section-e6d1d986-f1c4-405a-8964-480d347cba15' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-4b68ba5f-4a39-46d6-af60-5252b4ab14a8' class='xr-index-data-in' type='checkbox'/><label for='index-4b68ba5f-4a39-46d6-af60-5252b4ab14a8' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-e59e5f3c-9490-4caa-81cf-8f88fd28b934' class='xr-index-data-in' type='checkbox'/><label for='index-e59e5f3c-9490-4caa-81cf-8f88fd28b934' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-38952e47-109b-4e60-b397-c68c66cb5afe' class='xr-section-summary-in' type='checkbox'  checked><label for='section-38952e47-109b-4e60-b397-c68c66cb5afe' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2)> Size: 320B\n",
       "                             Test for Constraints                            ...\n",
       "Coordinates:\n",
       "  * chromo    (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel   (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source    (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector  (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Specifying hypotheses for t-test as string\n",
    "hypotheses = \"HRF Tapping/Left = HRF control, HRF Tapping/Right = HRF control\"\n",
    "\n",
    "contrast_results = results.sm.t_test(hypotheses)\n",
    "display(contrast_results)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We can use the `.sm` accessor on the resulting `DataArray` of `ContrastResult` objects, just like we did before with the `RegressionResult` arrays.\n",
    "\n",
    "The convenience functions `sm.tvalues()` and `sm.pvalues()` return the t- and p-values of the contrast, respectively.\n",
    "\n",
    "The `sm.map` method works analogously to the map function in python, applying a given function to each cell of the DataArray.\n",
    "\n",
    "Below, we extract the t-values of the contrast using first the map method and then the convenience function."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.468585Z",
     "iopub.status.busy": "2025-06-27T05:20:51.468431Z",
     "iopub.status.idle": "2025-06-27T05:20:51.514602Z",
     "shell.execute_reply": "2025-06-27T05:20:51.514068Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)&gt; Size: 640B\n",
       "22.89 28.69 -11.67 -14.53 18.91 20.18 ... -12.03 -3.51 11.8 9.7 -0.947 -1.511\n",
       "Coordinates:\n",
       "  * chromo    (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel   (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source    (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector  (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span>hypothesis</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-0fc4d630-47d0-4d23-ae57-2fac93481572' class='xr-array-in' type='checkbox' ><label for='section-0fc4d630-47d0-4d23-ae57-2fac93481572' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>22.89 28.69 -11.67 -14.53 18.91 20.18 ... -3.51 11.8 9.7 -0.947 -1.511</span></div><div class='xr-array-data'><pre>array([[[ 22.89395392,  28.69164599],\n",
       "        [-11.67215948, -14.534854  ]],\n",
       "\n",
       "       [[ 18.90861607,  20.18368726],\n",
       "        [ -0.20758269,  -3.53832094]],\n",
       "\n",
       "       [[ 19.24119486,  34.81803644],\n",
       "        [ -7.01736485, -17.20633702]],\n",
       "\n",
       "       [[ 28.68121682,  25.83613922],\n",
       "        [ -2.60256647,  -0.71582757]],\n",
       "\n",
       "       [[ 29.95033209,  33.50789166],\n",
       "        [ -4.75720801, -10.36286965]],\n",
       "\n",
       "       [[ 15.58312071,  11.3302327 ],\n",
       "        [ -5.23408572,  -6.12224379]],\n",
       "\n",
       "       [[ 23.6506949 ,  17.31589916],\n",
       "        [  0.54941649,   0.69931607]],\n",
       "...\n",
       "       [[ 33.49287084,  29.66501284],\n",
       "        [ -4.89194952,   0.64060184]],\n",
       "\n",
       "       [[ 36.98719493,  26.14624206],\n",
       "        [-19.21368245,  -9.23473152]],\n",
       "\n",
       "       [[ 23.6781035 ,  20.04036861],\n",
       "        [-12.25345637, -12.11752058]],\n",
       "\n",
       "       [[ 33.55820472,  32.61762123],\n",
       "        [  4.97838194,   8.81601571]],\n",
       "\n",
       "       [[ 40.05944144,  28.04708422],\n",
       "        [ -1.56635257,   9.92220624]],\n",
       "\n",
       "       [[ 29.76340993,  19.99647193],\n",
       "        [-12.02611696,  -3.51045246]],\n",
       "\n",
       "       [[ 11.79564911,   9.70028397],\n",
       "        [ -0.94700061,  -1.51130172]]])</pre></div></div></li><li class='xr-section-item'><input id='section-88f406fc-ad27-476c-aea8-ce0d1166e6c2' class='xr-section-summary-in' type='checkbox'  checked><label for='section-88f406fc-ad27-476c-aea8-ce0d1166e6c2' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-361a0d4f-125b-470f-9141-98af25c18036' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-361a0d4f-125b-470f-9141-98af25c18036' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-bd906a2c-7334-4b37-ba98-d62a5ab824eb' class='xr-var-data-in' type='checkbox'><label for='data-bd906a2c-7334-4b37-ba98-d62a5ab824eb' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-7509717c-f2d3-43a6-bc6a-4f0f7b8d997f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7509717c-f2d3-43a6-bc6a-4f0f7b8d997f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-b17e64e8-7632-40c2-899e-3c5589d7733f' class='xr-var-data-in' type='checkbox'><label for='data-b17e64e8-7632-40c2-899e-3c5589d7733f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-9ed56642-af36-400b-9082-40ca0960a48d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-9ed56642-af36-400b-9082-40ca0960a48d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e1ccbf33-85a7-4c07-b366-1d21ba0b5cc5' class='xr-var-data-in' type='checkbox'><label for='data-e1ccbf33-85a7-4c07-b366-1d21ba0b5cc5' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-e9c08ad4-c031-4eb1-94e4-9e0ffaadf1fb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e9c08ad4-c031-4eb1-94e4-9e0ffaadf1fb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-06e7900a-bb9d-4a22-a291-952544ab1172' class='xr-var-data-in' type='checkbox'><label for='data-06e7900a-bb9d-4a22-a291-952544ab1172' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-245a3e42-722a-47d6-8995-85892a2f7d77' class='xr-section-summary-in' type='checkbox'  ><label for='section-245a3e42-722a-47d6-8995-85892a2f7d77' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-a7e58b7d-e7a9-4b53-8b7d-9fc106427131' class='xr-index-data-in' type='checkbox'/><label for='index-a7e58b7d-e7a9-4b53-8b7d-9fc106427131' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-cf4054e1-a200-4017-9d03-a414fcfae2af' class='xr-index-data-in' type='checkbox'/><label for='index-cf4054e1-a200-4017-9d03-a414fcfae2af' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-34f3f363-9e3a-493f-b2bd-475db3e7ba8e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-34f3f363-9e3a-493f-b2bd-475db3e7ba8e' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)> Size: 640B\n",
       "22.89 28.69 -11.67 -14.53 18.91 20.18 ... -12.03 -3.51 11.8 9.7 -0.947 -1.511\n",
       "Coordinates:\n",
       "  * chromo    (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel   (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source    (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector  (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)&gt; Size: 640B\n",
       "22.89 28.69 -11.67 -14.53 18.91 20.18 ... -12.03 -3.51 11.8 9.7 -0.947 -1.511\n",
       "Coordinates:\n",
       "  * chromo    (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel   (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source    (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector  (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span>hypothesis</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-4308acb6-5ca4-4691-83fe-91c78d6709ea' class='xr-array-in' type='checkbox' ><label for='section-4308acb6-5ca4-4691-83fe-91c78d6709ea' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>22.89 28.69 -11.67 -14.53 18.91 20.18 ... -3.51 11.8 9.7 -0.947 -1.511</span></div><div class='xr-array-data'><pre>array([[[ 22.89395392,  28.69164599],\n",
       "        [-11.67215948, -14.534854  ]],\n",
       "\n",
       "       [[ 18.90861607,  20.18368726],\n",
       "        [ -0.20758269,  -3.53832094]],\n",
       "\n",
       "       [[ 19.24119486,  34.81803644],\n",
       "        [ -7.01736485, -17.20633702]],\n",
       "\n",
       "       [[ 28.68121682,  25.83613922],\n",
       "        [ -2.60256647,  -0.71582757]],\n",
       "\n",
       "       [[ 29.95033209,  33.50789166],\n",
       "        [ -4.75720801, -10.36286965]],\n",
       "\n",
       "       [[ 15.58312071,  11.3302327 ],\n",
       "        [ -5.23408572,  -6.12224379]],\n",
       "\n",
       "       [[ 23.6506949 ,  17.31589916],\n",
       "        [  0.54941649,   0.69931607]],\n",
       "...\n",
       "       [[ 33.49287084,  29.66501284],\n",
       "        [ -4.89194952,   0.64060184]],\n",
       "\n",
       "       [[ 36.98719493,  26.14624206],\n",
       "        [-19.21368245,  -9.23473152]],\n",
       "\n",
       "       [[ 23.6781035 ,  20.04036861],\n",
       "        [-12.25345637, -12.11752058]],\n",
       "\n",
       "       [[ 33.55820472,  32.61762123],\n",
       "        [  4.97838194,   8.81601571]],\n",
       "\n",
       "       [[ 40.05944144,  28.04708422],\n",
       "        [ -1.56635257,   9.92220624]],\n",
       "\n",
       "       [[ 29.76340993,  19.99647193],\n",
       "        [-12.02611696,  -3.51045246]],\n",
       "\n",
       "       [[ 11.79564911,   9.70028397],\n",
       "        [ -0.94700061,  -1.51130172]]])</pre></div></div></li><li class='xr-section-item'><input id='section-a8b5fffb-3186-4609-9a64-cd582f5aaa6a' class='xr-section-summary-in' type='checkbox'  checked><label for='section-a8b5fffb-3186-4609-9a64-cd582f5aaa6a' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-7f3cf0a8-c19b-46cc-be89-4da4b3f4e8ea' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7f3cf0a8-c19b-46cc-be89-4da4b3f4e8ea' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3d2d2786-d3a2-4af2-a346-35debd93d9a1' class='xr-var-data-in' type='checkbox'><label for='data-3d2d2786-d3a2-4af2-a346-35debd93d9a1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-799b51d9-05c6-4c8f-8b34-0c5b6c4cccf2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-799b51d9-05c6-4c8f-8b34-0c5b6c4cccf2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-236df31f-49f2-4b5e-9555-369cf94e0023' class='xr-var-data-in' type='checkbox'><label for='data-236df31f-49f2-4b5e-9555-369cf94e0023' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-602d139c-eb64-4b95-a91e-3b8ee793bc13' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-602d139c-eb64-4b95-a91e-3b8ee793bc13' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8f6d8cc8-fec5-4b4b-b759-3b6d54e8413b' class='xr-var-data-in' type='checkbox'><label for='data-8f6d8cc8-fec5-4b4b-b759-3b6d54e8413b' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-a4c187dd-75e1-455e-b150-86e980c04141' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a4c187dd-75e1-455e-b150-86e980c04141' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-16b2cdb5-67af-442b-a400-8060224d8771' class='xr-var-data-in' type='checkbox'><label for='data-16b2cdb5-67af-442b-a400-8060224d8771' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-7eefda73-e5d6-4e71-bca1-0c0b3c00ab15' class='xr-section-summary-in' type='checkbox'  ><label for='section-7eefda73-e5d6-4e71-bca1-0c0b3c00ab15' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-0129c8c4-19f5-4afb-905c-f25b3b11ee17' class='xr-index-data-in' type='checkbox'/><label for='index-0129c8c4-19f5-4afb-905c-f25b3b11ee17' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-6d0b77c1-f23f-4008-a2f5-0396b9e2b86d' class='xr-index-data-in' type='checkbox'/><label for='index-6d0b77c1-f23f-4008-a2f5-0396b9e2b86d' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-0418c6d3-bcab-4c34-9f62-91fe7410a3e9' class='xr-section-summary-in' type='checkbox'  checked><label for='section-0418c6d3-bcab-4c34-9f62-91fe7410a3e9' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)> Size: 640B\n",
       "22.89 28.69 -11.67 -14.53 18.91 20.18 ... -12.03 -3.51 11.8 9.7 -0.947 -1.511\n",
       "Coordinates:\n",
       "  * chromo    (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel   (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source    (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector  (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extracting t-values from the contrast results\n",
    "display(contrast_results.sm.map(lambda i : i.tvalue, name=\"hypothesis\"))\n",
    "\n",
    "display(contrast_results.sm.t_values())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.516649Z",
     "iopub.status.busy": "2025-06-27T05:20:51.516446Z",
     "iopub.status.idle": "2025-06-27T05:20:51.541523Z",
     "shell.execute_reply": "2025-06-27T05:20:51.540964Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)&gt; Size: 640B\n",
       "9.929e-115 6.125e-178 2.164e-31 1.18e-47 ... 5.073e-32 3.313e-22 0.3436 0.1307\n",
       "Coordinates:\n",
       "  * chromo    (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel   (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source    (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector  (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span>hypothesis</span>: 2</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-1cc598d6-48b8-4db2-bce0-bd9d55e8bd79' class='xr-array-in' type='checkbox' ><label for='section-1cc598d6-48b8-4db2-bce0-bd9d55e8bd79' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>9.929e-115 6.125e-178 2.164e-31 1.18e-47 ... 3.313e-22 0.3436 0.1307</span></div><div class='xr-array-data'><pre>array([[[9.92867656e-115, 6.12528370e-178],\n",
       "        [2.16435748e-031, 1.17978632e-047]],\n",
       "\n",
       "       [[3.80856988e-079, 8.02593217e-090],\n",
       "        [8.35556638e-001, 4.03465799e-004]],\n",
       "\n",
       "       [[7.25612800e-082, 5.77774121e-259],\n",
       "        [2.32303395e-012, 6.10220919e-066]],\n",
       "\n",
       "       [[8.18020728e-178, 3.90052085e-145],\n",
       "        [9.25876244e-003, 4.74105022e-001]],\n",
       "\n",
       "       [[2.05724759e-193, 1.93163060e-240],\n",
       "        [1.97467379e-006, 4.14941609e-025]],\n",
       "\n",
       "       [[1.78959774e-054, 1.11224878e-029],\n",
       "        [1.67243902e-007, 9.37451833e-010]],\n",
       "\n",
       "       [[3.22844610e-122, 9.37259324e-067],\n",
       "        [5.82724939e-001, 4.84361527e-001]],\n",
       "...\n",
       "       [[3.12304796e-240, 7.49525220e-190],\n",
       "        [1.00509677e-006, 5.21787721e-001]],\n",
       "\n",
       "       [[4.94185161e-291, 1.52972595e-148],\n",
       "        [1.22307757e-081, 2.80467600e-020]],\n",
       "\n",
       "       [[1.71177458e-122, 1.37380469e-088],\n",
       "        [2.05624611e-034, 1.07805823e-033]],\n",
       "\n",
       "       [[3.85839768e-241, 3.20588196e-228],\n",
       "        [6.45767970e-007, 1.26761687e-018]],\n",
       "\n",
       "       [[0.00000000e+000, 2.96595769e-170],\n",
       "        [1.17279718e-001, 3.70612958e-023]],\n",
       "\n",
       "       [[4.46789557e-191, 3.26602013e-088],\n",
       "        [3.25149861e-033, 4.48192034e-004]],\n",
       "\n",
       "       [[5.07290946e-032, 3.31292631e-022],\n",
       "        [3.43648318e-001, 1.30725195e-001]]])</pre></div></div></li><li class='xr-section-item'><input id='section-ed1bbf4e-d886-4e03-8a05-c418e0a1d4d9' class='xr-section-summary-in' type='checkbox'  checked><label for='section-ed1bbf4e-d886-4e03-8a05-c418e0a1d4d9' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-b0f7b3c9-9d09-458f-a18d-470933e2eb09' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b0f7b3c9-9d09-458f-a18d-470933e2eb09' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2f635205-3460-47a6-be87-0e77769eb173' class='xr-var-data-in' type='checkbox'><label for='data-2f635205-3460-47a6-be87-0e77769eb173' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-25a83ef7-6f69-40cf-a6be-ce138e4157f2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-25a83ef7-6f69-40cf-a6be-ce138e4157f2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-00918b62-9837-48b5-a708-86c59638237f' class='xr-var-data-in' type='checkbox'><label for='data-00918b62-9837-48b5-a708-86c59638237f' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-e028c54d-fed5-46a0-b5d1-d05e204589ad' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e028c54d-fed5-46a0-b5d1-d05e204589ad' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-35dc5a45-73bd-4d95-b383-8b097fa8959e' class='xr-var-data-in' type='checkbox'><label for='data-35dc5a45-73bd-4d95-b383-8b097fa8959e' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-93c08d69-f057-417b-95bd-8534c86ec542' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-93c08d69-f057-417b-95bd-8534c86ec542' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0d2366fb-0d1b-4d7c-a33a-08e59ad00423' class='xr-var-data-in' type='checkbox'><label for='data-0d2366fb-0d1b-4d7c-a33a-08e59ad00423' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d0719b2a-99b6-4e10-827b-a8a968fc16ab' class='xr-section-summary-in' type='checkbox'  ><label for='section-d0719b2a-99b6-4e10-827b-a8a968fc16ab' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-172c9030-1c50-4e34-9f82-8fdcf5963e07' class='xr-index-data-in' type='checkbox'/><label for='index-172c9030-1c50-4e34-9f82-8fdcf5963e07' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-1c119d98-9257-4b8b-82ea-d1489b588eef' class='xr-index-data-in' type='checkbox'/><label for='index-1c119d98-9257-4b8b-82ea-d1489b588eef' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-96c46b6e-9705-42f4-9d05-4fd1e0ebc99d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-96c46b6e-9705-42f4-9d05-4fd1e0ebc99d' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, hypothesis: 2)> Size: 640B\n",
       "9.929e-115 6.125e-178 2.164e-31 1.18e-47 ... 5.073e-32 3.313e-22 0.3436 0.1307\n",
       "Coordinates:\n",
       "  * chromo    (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel   (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source    (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector  (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Dimensions without coordinates: hypothesis\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Extracting p-values from the contrast results\n",
    "display(contrast_results.sm.p_values())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Plotting Uncertainty Bands"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In this section, we explore a technique, still in development, for visualizing uncertainty in a GLM with many regressors. This method visualizes the uncertainty in a GLM fit by drawing multiple samples of the beta coefficients from their estimated covariance (via multivariate normal sampling). It then uses these sampled betas to generate predicted time courses, and plots the mean prediction with a shaded band representing ±3 standard deviations across samples, thus capturing the variability due to model uncertainty. The band is quite narrow because uncertainty is low in this toy example.\n",
    "\n",
    "FIXME: Band even smaller than before?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.543731Z",
     "iopub.status.busy": "2025-06-27T05:20:51.543205Z",
     "iopub.status.idle": "2025-06-27T05:20:51.648434Z",
     "shell.execute_reply": "2025-06-27T05:20:51.647892Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (channel: 20, chromo: 2, regressor: 4, sample: 100)&gt; Size: 128kB\n",
       "-0.004786 -0.001207 -0.006483 0.002115 ... -0.054 -0.04183 -0.03155 -0.04055\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B &#x27;HRF control&#x27; ... &#x27;short&#x27;\n",
       "  * chromo     (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "  * channel    (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    source     (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector   (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D6&#x27; &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Dimensions without coordinates: sample\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span class='xr-has-index'>regressor</span>: 4</li><li><span>sample</span>: 100</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-972aceff-1cd3-4d76-9afb-af9b784f3b18' class='xr-array-in' type='checkbox' ><label for='section-972aceff-1cd3-4d76-9afb-af9b784f3b18' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>-0.004786 -0.001207 -0.006483 0.002115 ... -0.04183 -0.03155 -0.04055</span></div><div class='xr-array-data'><pre>array([[[[-4.78625194e-03, -1.20701242e-03, -6.48299608e-03, ...,\n",
       "          -3.68171850e-03,  3.58948152e-03, -5.30270269e-03],\n",
       "         [ 1.70290216e-01,  1.63395321e-01,  1.55669732e-01, ...,\n",
       "           1.58784740e-01,  1.63744006e-01,  1.58599750e-01],\n",
       "         [ 2.00917501e-01,  2.00939655e-01,  1.97484043e-01, ...,\n",
       "           1.99824599e-01,  1.99618105e-01,  2.03414535e-01],\n",
       "         [ 7.73447188e-01,  7.71337665e-01,  7.74000495e-01, ...,\n",
       "           7.73940228e-01,  7.67956932e-01,  7.73657757e-01]],\n",
       "\n",
       "        [[-6.49601289e-03, -5.96689838e-03, -5.50245475e-03, ...,\n",
       "          -3.16926896e-04, -1.84100957e-03, -1.62383134e-03],\n",
       "         [-4.90918878e-02, -4.44476944e-02, -4.02014307e-02, ...,\n",
       "          -4.45359173e-02, -4.01004562e-02, -4.34099928e-02],\n",
       "         [-5.04230325e-02, -4.99186734e-02, -5.54311966e-02, ...,\n",
       "          -4.95602610e-02, -5.60696884e-02, -5.00586225e-02],\n",
       "         [ 1.28168941e-02,  1.48361105e-02,  1.49071755e-02, ...,\n",
       "           1.69117872e-02,  1.37503775e-02,  1.28811138e-02]]],\n",
       "\n",
       "\n",
       "       [[[-2.71370914e-03, -9.19443291e-03, -5.41160648e-03, ...,\n",
       "...\n",
       "\n",
       "\n",
       "       [[[-2.94101156e-02, -2.49977445e-02, -3.09834180e-02, ...,\n",
       "          -2.21010667e-02, -2.23565787e-02, -2.13029721e-02],\n",
       "         [ 9.14985779e-02,  1.02349696e-01,  1.01818390e-01, ...,\n",
       "           9.14294197e-02,  1.04256650e-01,  8.66762199e-02],\n",
       "         [ 7.14712129e-02,  6.97374968e-02,  8.29574444e-02, ...,\n",
       "           8.06548334e-02,  7.83718436e-02,  8.23593991e-02],\n",
       "         [ 9.48106271e-01,  9.26265047e-01,  9.33007679e-01, ...,\n",
       "           9.51777045e-01,  9.37649408e-01,  9.39336517e-01]],\n",
       "\n",
       "        [[-1.31924034e-02, -1.34784548e-02, -1.23235296e-02, ...,\n",
       "          -1.00288106e-02, -1.56318943e-02, -1.16623497e-02],\n",
       "         [-1.65287602e-02, -1.56720080e-02, -2.08074170e-02, ...,\n",
       "          -1.52247960e-02, -1.71068995e-02, -1.87943418e-02],\n",
       "         [-2.04458411e-02, -1.87382963e-02, -2.26272665e-02, ...,\n",
       "          -1.87009446e-02, -2.47990591e-02, -1.57371503e-02],\n",
       "         [-3.78926589e-02, -4.44402581e-02, -4.11003507e-02, ...,\n",
       "          -4.18338239e-02, -3.15470619e-02, -4.05489247e-02]]]],\n",
       "      shape=(20, 2, 4, 100))</pre></div></div></li><li class='xr-section-item'><input id='section-f59f8d73-61c3-4a85-bf93-3b6e1cfa4e8f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-f59f8d73-61c3-4a85-bf93-3b6e1cfa4e8f' class='xr-section-summary' >Coordinates: <span>(5)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>regressor</span></div><div class='xr-var-dims'>(regressor)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;HRF control&#x27; ... &#x27;short&#x27;</div><input id='attrs-4e1d4186-e3c6-41b1-94df-72bd8b6db2ac' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4e1d4186-e3c6-41b1-94df-72bd8b6db2ac' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ce62ebc9-8fbf-4b01-9ddc-a98dd9049421' class='xr-var-data-in' type='checkbox'><label for='data-ce62ebc9-8fbf-4b01-9ddc-a98dd9049421' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-5ffeca50-57d2-4965-a703-35457044c777' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5ffeca50-57d2-4965-a703-35457044c777' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5601e6a5-f73a-40cb-87a1-110d5a125ec1' class='xr-var-data-in' type='checkbox'><label for='data-5601e6a5-f73a-40cb-87a1-110d5a125ec1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-5cc94104-a9e4-4ad5-bad2-c4fa9f977d99' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5cc94104-a9e4-4ad5-bad2-c4fa9f977d99' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e0e7a7ed-771d-4b27-9f25-60190947bcff' class='xr-var-data-in' type='checkbox'><label for='data-e0e7a7ed-771d-4b27-9f25-60190947bcff' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-d8276460-1232-45fd-a7b1-ff5d24283c6e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d8276460-1232-45fd-a7b1-ff5d24283c6e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a56e5c4d-e6e6-480f-8766-3c2890621eec' class='xr-var-data-in' type='checkbox'><label for='data-a56e5c4d-e6e6-480f-8766-3c2890621eec' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-fcd82862-8d72-4973-9598-17aa158f0a70' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fcd82862-8d72-4973-9598-17aa158f0a70' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-48f46403-348f-4620-a742-1d1755b189b4' class='xr-var-data-in' type='checkbox'><label for='data-48f46403-348f-4620-a742-1d1755b189b4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-32ad9a8f-a12a-4eda-85f7-4398e1aaa39b' class='xr-section-summary-in' type='checkbox'  ><label for='section-32ad9a8f-a12a-4eda-85f7-4398e1aaa39b' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-ccc7435d-26dd-4701-b492-cdcb6c02d1e9' class='xr-index-data-in' type='checkbox'/><label for='index-ccc7435d-26dd-4701-b492-cdcb6c02d1e9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-463587a6-7d9a-49ce-8eea-c692c3a41e15' class='xr-index-data-in' type='checkbox'/><label for='index-463587a6-7d9a-49ce-8eea-c692c3a41e15' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>regressor</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-90c4624e-e8aa-45ba-ab8c-21efade2c291' class='xr-index-data-in' type='checkbox'/><label for='index-90c4624e-e8aa-45ba-ab8c-21efade2c291' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HRF control&#x27;, &#x27;HRF Tapping/Left&#x27;, &#x27;HRF Tapping/Right&#x27;, &#x27;short&#x27;], dtype=&#x27;object&#x27;, name=&#x27;regressor&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-53a6eddc-30af-44ff-a903-260992e31f60' class='xr-section-summary-in' type='checkbox'  checked><label for='section-53a6eddc-30af-44ff-a903-260992e31f60' class='xr-section-summary' >Attributes: <span>(1)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>description :</span></dt><dd>OLS model via statsmodels.regression</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (channel: 20, chromo: 2, regressor: 4, sample: 100)> Size: 128kB\n",
       "-0.004786 -0.001207 -0.006483 0.002115 ... -0.054 -0.04183 -0.03155 -0.04055\n",
       "Coordinates:\n",
       "  * regressor  (regressor) object 32B 'HRF control' ... 'short'\n",
       "  * chromo     (chromo) <U3 24B 'HbO' 'HbR'\n",
       "  * channel    (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    source     (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S7' 'S8' 'S8'\n",
       "    detector   (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D6' 'D7' 'D7' 'D8'\n",
       "Dimensions without coordinates: sample\n",
       "Attributes:\n",
       "    description:  OLS model via statsmodels.regression"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Sample betas\n",
    "\n",
    "betas = results.sm.params\n",
    "cov = results.sm.cov_params()\n",
    "\n",
    "sampled_betas = xr.zeros_like(betas).expand_dims({\"sample\" : 100}, axis=-1).copy()\n",
    "for i_ch in range(sampled_betas.shape[0]):\n",
    "    for i_cr in range(sampled_betas.shape[1]):\n",
    "        sampled_betas[i_ch, i_cr, :, :] = np.random.multivariate_normal(\n",
    "            betas[i_ch, i_cr, :],\n",
    "            cov[i_ch, i_cr, :, :],\n",
    "            size=100,\n",
    "        ).T\n",
    "\n",
    "display(sampled_betas)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:51.650088Z",
     "iopub.status.busy": "2025-06-27T05:20:51.649929Z",
     "iopub.status.idle": "2025-06-27T05:20:52.497971Z",
     "shell.execute_reply": "2025-06-27T05:20:52.497465Z"
    }
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base rgba(0, 0, 0, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(0, 0, 0, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, white)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, white) h s calc(l - 15))\n",
       "  );\n",
       "}\n",
       "\n",
       "html[theme=\"dark\"],\n",
       "html[data-theme=\"dark\"],\n",
       "body[data-theme=\"dark\"],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: var(\n",
       "    --jp-content-font-color0,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 1))\n",
       "  );\n",
       "  --xr-font-color2: var(\n",
       "    --jp-content-font-color2,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.54))\n",
       "  );\n",
       "  --xr-font-color3: var(\n",
       "    --jp-content-font-color3,\n",
       "    var(--pst-color-text-base, rgba(255, 255, 255, 0.38))\n",
       "  );\n",
       "  --xr-border-color: var(\n",
       "    --jp-border-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 10))\n",
       "  );\n",
       "  --xr-disabled-color: var(\n",
       "    --jp-layout-color3,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 40))\n",
       "  );\n",
       "  --xr-background-color: var(\n",
       "    --jp-layout-color0,\n",
       "    var(--pst-color-on-background, #111111)\n",
       "  );\n",
       "  --xr-background-color-row-even: var(\n",
       "    --jp-layout-color1,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 5))\n",
       "  );\n",
       "  --xr-background-color-row-odd: var(\n",
       "    --jp-layout-color2,\n",
       "    hsl(from var(--pst-color-on-background, #111111) h s calc(l + 15))\n",
       "  );\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 0 20px 0 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: inline-block;\n",
       "  opacity: 0;\n",
       "  height: 0;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\n",
       "  border: 2px solid transparent !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label {\n",
       "  cursor: pointer;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-item input:focus + label {\n",
       "  border: 2px solid var(--xr-font-color0) !important;\n",
       "}\n",
       "\n",
       ".xr-section-item input:enabled + label:hover {\n",
       "  color: var(--xr-font-color0);\n",
       "}\n",
       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
       "  color: var(--xr-font-color2);\n",
       "  font-weight: 500;\n",
       "}\n",
       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
       "  padding-left: 0.5em;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in + label:before {\n",
       "  display: inline-block;\n",
       "  content: \"►\";\n",
       "  font-size: 11px;\n",
       "  width: 15px;\n",
       "  text-align: center;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
       "  color: var(--xr-disabled-color);\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label:before {\n",
       "  content: \"▼\";\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked + label > span {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-summary,\n",
       ".xr-section-inline-details {\n",
       "  padding-top: 4px;\n",
       "  padding-bottom: 4px;\n",
       "}\n",
       "\n",
       ".xr-section-inline-details {\n",
       "  grid-column: 2 / -1;\n",
       "}\n",
       "\n",
       ".xr-section-details {\n",
       "  display: none;\n",
       "  grid-column: 1 / -1;\n",
       "  margin-bottom: 5px;\n",
       "}\n",
       "\n",
       ".xr-section-summary-in:checked ~ .xr-section-details {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-array-wrap {\n",
       "  grid-column: 1 / -1;\n",
       "  display: grid;\n",
       "  grid-template-columns: 20px auto;\n",
       "}\n",
       "\n",
       ".xr-array-wrap > label {\n",
       "  grid-column: 1;\n",
       "  vertical-align: top;\n",
       "}\n",
       "\n",
       ".xr-preview {\n",
       "  color: var(--xr-font-color3);\n",
       "}\n",
       "\n",
       ".xr-array-preview,\n",
       ".xr-array-data {\n",
       "  padding: 0 5px !important;\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-array-data,\n",
       ".xr-array-in:checked ~ .xr-array-preview {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-array-in:checked ~ .xr-array-data,\n",
       ".xr-array-preview {\n",
       "  display: inline-block;\n",
       "}\n",
       "\n",
       ".xr-dim-list {\n",
       "  display: inline-block !important;\n",
       "  list-style: none;\n",
       "  padding: 0 !important;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list li {\n",
       "  display: inline-block;\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "}\n",
       "\n",
       ".xr-dim-list:before {\n",
       "  content: \"(\";\n",
       "}\n",
       "\n",
       ".xr-dim-list:after {\n",
       "  content: \")\";\n",
       "}\n",
       "\n",
       ".xr-dim-list li:not(:last-child):after {\n",
       "  content: \",\";\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-has-index {\n",
       "  font-weight: bold;\n",
       "}\n",
       "\n",
       ".xr-var-list,\n",
       ".xr-var-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-var-item > div,\n",
       ".xr-var-item label,\n",
       ".xr-var-item > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-even);\n",
       "  border-color: var(--xr-background-color-row-odd);\n",
       "  margin-bottom: 0;\n",
       "  padding-top: 2px;\n",
       "}\n",
       "\n",
       ".xr-var-item > .xr-var-name:hover span {\n",
       "  padding-right: 5px;\n",
       "}\n",
       "\n",
       ".xr-var-list > li:nth-child(odd) > div,\n",
       ".xr-var-list > li:nth-child(odd) > label,\n",
       ".xr-var-list > li:nth-child(odd) > .xr-var-name span {\n",
       "  background-color: var(--xr-background-color-row-odd);\n",
       "  border-color: var(--xr-background-color-row-even);\n",
       "}\n",
       "\n",
       ".xr-var-name {\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-var-dims {\n",
       "  grid-column: 2;\n",
       "}\n",
       "\n",
       ".xr-var-dtype {\n",
       "  grid-column: 3;\n",
       "  text-align: right;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-preview {\n",
       "  grid-column: 4;\n",
       "}\n",
       "\n",
       ".xr-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  border-top: 2px dotted var(--xr-background-color);\n",
       "  padding-bottom: 20px !important;\n",
       "  padding-top: 10px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in + label,\n",
       ".xr-var-data-in + label,\n",
       ".xr-index-data-in + label {\n",
       "  padding: 0 1px;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data,\n",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-data > pre,\n",
       ".xr-index-data > pre,\n",
       ".xr-var-data > table > tbody > tr {\n",
       "  background-color: transparent !important;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked + label > .xr-icon-file-text2,\n",
       ".xr-var-data-in:checked + label > .xr-icon-database,\n",
       ".xr-index-data-in:checked + label > .xr-icon-database {\n",
       "  color: var(--xr-font-color0);\n",
       "  filter: drop-shadow(1px 1px 5px var(--xr-font-color2));\n",
       "  stroke-width: 0.8px;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.DataArray (time: 23239, channel: 20, chromo: 2, sample: 100)&gt; Size: 744MB\n",
       "-0.09512 -0.09486 -0.09518 -0.09504 ... 0.0001133 8.782e-05 6.622e-05 8.512e-05\n",
       "Coordinates:\n",
       "  * time           (time) float64 186kB 0.0 0.128 0.256 ... 2.974e+03 2.974e+03\n",
       "  * chromo         (chromo) &lt;U3 24B &#x27;HbO&#x27; &#x27;HbR&#x27;\n",
       "    samples        (time) int64 186kB 0 1 2 3 4 ... 23235 23236 23237 23238\n",
       "  * channel        (channel) object 160B &#x27;S1D1&#x27; &#x27;S1D2&#x27; &#x27;S1D3&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;\n",
       "    short_channel  (channel) object 160B &#x27;S1D9&#x27; &#x27;S1D9&#x27; ... &#x27;S8D16&#x27; &#x27;S8D16&#x27;\n",
       "    comp_group     (channel) int64 160B 0 0 0 1 1 1 2 2 3 3 4 4 4 5 5 5 6 6 7 7\n",
       "    source         (channel) object 160B &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; &#x27;S2&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;\n",
       "    detector       (channel) object 160B &#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; &#x27;D1&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;\n",
       "Dimensions without coordinates: sample</pre><div class='xr-wrap' style='display:none'><div class='xr-header'><div class='xr-obj-type'>xarray.DataArray</div><div class='xr-array-name'></div><ul class='xr-dim-list'><li><span class='xr-has-index'>time</span>: 23239</li><li><span class='xr-has-index'>channel</span>: 20</li><li><span class='xr-has-index'>chromo</span>: 2</li><li><span>sample</span>: 100</li></ul></div><ul class='xr-sections'><li class='xr-section-item'><div class='xr-array-wrap'><input id='section-d19c5c76-f938-46f3-b69d-ea5ebfd30694' class='xr-array-in' type='checkbox' ><label for='section-d19c5c76-f938-46f3-b69d-ea5ebfd30694' title='Show/hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-array-preview xr-preview'><span>-0.09512 -0.09486 -0.09518 -0.09504 ... 8.782e-05 6.622e-05 8.512e-05</span></div><div class='xr-array-data'><pre>array([[[[-9.51163451e-02, -9.48569218e-02, -9.51843891e-02, ...,\n",
       "          -9.51769776e-02, -9.44411689e-02, -9.51422402e-02],\n",
       "         [ 3.29921918e-03,  3.81898921e-03,  3.83728218e-03, ...,\n",
       "           4.35329279e-03,  3.53950876e-03,  3.31575008e-03]],\n",
       "\n",
       "        [[-8.06586784e-02, -8.03916406e-02, -8.10944499e-02, ...,\n",
       "          -8.14837722e-02, -8.07716843e-02, -8.07616195e-02],\n",
       "         [ 1.76265598e-03,  2.39504007e-03,  2.72097733e-03, ...,\n",
       "           1.88357690e-03,  3.02223658e-03,  2.25403082e-03]],\n",
       "\n",
       "        [[-7.89942927e-02, -7.90325224e-02, -7.90412673e-02, ...,\n",
       "          -7.93597578e-02, -7.92150612e-02, -7.95125548e-02],\n",
       "         [ 2.50641672e-03,  4.18135075e-03,  2.56717345e-03, ...,\n",
       "           4.21845068e-03,  3.04371313e-03,  2.71569314e-03]],\n",
       "\n",
       "        ...,\n",
       "\n",
       "        [[-7.43180802e-02, -7.45920668e-02, -7.46610096e-02, ...,\n",
       "          -7.42963851e-02, -7.46612904e-02, -7.36974900e-02],\n",
       "         [ 8.20646282e-03,  8.20801881e-03,  9.79039163e-03, ...,\n",
       "...\n",
       "         [ 1.44572294e-03,  2.41183944e-03,  1.48076795e-03, ...,\n",
       "           2.43323901e-03,  1.75564018e-03,  1.56643540e-03]],\n",
       "\n",
       "        ...,\n",
       "\n",
       "        [[-5.96703154e-02, -5.98903004e-02, -5.99456549e-02, ...,\n",
       "          -5.96528963e-02, -5.99458803e-02, -5.91720408e-02],\n",
       "         [ 8.27496638e-04,  8.27653536e-04,  9.87211706e-04, ...,\n",
       "           8.78695409e-04,  8.61752225e-04,  7.54150215e-04]],\n",
       "\n",
       "        [[-8.09069812e-02, -8.10218698e-02, -8.15195593e-02, ...,\n",
       "          -8.18448652e-02, -8.13226496e-02, -8.09140717e-02],\n",
       "         [-3.53365726e-04, -3.56435601e-04, -3.57493342e-04, ...,\n",
       "          -3.49710334e-04, -3.41693088e-04, -3.56129489e-04]],\n",
       "\n",
       "        [[-6.84577393e-02, -6.68807000e-02, -6.73675498e-02, ...,\n",
       "          -6.87227865e-02, -6.77027045e-02, -6.78245218e-02],\n",
       "         [ 7.95439435e-05,  9.32886073e-05,  8.62775025e-05, ...,\n",
       "           8.78172030e-05,  6.62233210e-05,  8.51199537e-05]]]],\n",
       "      shape=(23239, 20, 2, 100))</pre></div></div></li><li class='xr-section-item'><input id='section-e454f9f9-efcc-49f4-a21b-924e46ffda57' class='xr-section-summary-in' type='checkbox'  checked><label for='section-e454f9f9-efcc-49f4-a21b-924e46ffda57' class='xr-section-summary' >Coordinates: <span>(8)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>time</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.128 ... 2.974e+03 2.974e+03</div><input id='attrs-5844f667-4aed-4496-8cfe-383a55a3520a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5844f667-4aed-4496-8cfe-383a55a3520a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-05f2df5d-4899-41ff-a775-478595aa7ad3' class='xr-var-data-in' type='checkbox'><label for='data-05f2df5d-4899-41ff-a775-478595aa7ad3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0.000000e+00, 1.280000e-01, 2.560000e-01, ..., 2.974208e+03,\n",
       "       2.974336e+03, 2.974464e+03], shape=(23239,))</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chromo</span></div><div class='xr-var-dims'>(chromo)</div><div class='xr-var-dtype'>&lt;U3</div><div class='xr-var-preview xr-preview'>&#x27;HbO&#x27; &#x27;HbR&#x27;</div><input id='attrs-56c7adcd-e966-4699-af25-a22dfb6d9be8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-56c7adcd-e966-4699-af25-a22dfb6d9be8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cb3dd036-be0e-4d01-ae8c-7cc69924c58c' class='xr-var-data-in' type='checkbox'><label for='data-cb3dd036-be0e-4d01-ae8c-7cc69924c58c' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;&lt;U3&#x27;)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>samples</span></div><div class='xr-var-dims'>(time)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 ... 23235 23236 23237 23238</div><input id='attrs-46173c4b-8257-4ca0-9995-1362e9f8471b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-46173c4b-8257-4ca0-9995-1362e9f8471b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-40c2b1a4-7ef6-46f8-8249-c4b63e6f16d1' class='xr-var-data-in' type='checkbox'><label for='data-40c2b1a4-7ef6-46f8-8249-c4b63e6f16d1' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([    0,     1,     2, ..., 23236, 23237, 23238], shape=(23239,))</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D1&#x27; &#x27;S1D2&#x27; ... &#x27;S8D7&#x27; &#x27;S8D8&#x27;</div><input id='attrs-69c56cf4-13b9-42f4-b72c-7252554aa994' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-69c56cf4-13b9-42f4-b72c-7252554aa994' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-94eadeb5-87ff-4d84-a994-ebf03f9e21ca' class='xr-var-data-in' type='checkbox'><label for='data-94eadeb5-87ff-4d84-a994-ebf03f9e21ca' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>short_channel</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1D9&#x27; &#x27;S1D9&#x27; ... &#x27;S8D16&#x27; &#x27;S8D16&#x27;</div><input id='attrs-36cb0304-630b-4ed8-ae61-d1be95af678e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-36cb0304-630b-4ed8-ae61-d1be95af678e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1fafba45-f2c5-4f02-8bda-dec37cdf585d' class='xr-var-data-in' type='checkbox'><label for='data-1fafba45-f2c5-4f02-8bda-dec37cdf585d' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([&#x27;S1D9&#x27;, &#x27;S1D9&#x27;, &#x27;S1D9&#x27;, &#x27;S2D10&#x27;, &#x27;S2D10&#x27;, &#x27;S2D10&#x27;, &#x27;S3D11&#x27;,\n",
       "       &#x27;S3D11&#x27;, &#x27;S4D12&#x27;, &#x27;S4D12&#x27;, &#x27;S5D13&#x27;, &#x27;S5D13&#x27;, &#x27;S5D13&#x27;, &#x27;S6D14&#x27;,\n",
       "       &#x27;S6D14&#x27;, &#x27;S6D14&#x27;, &#x27;S7D15&#x27;, &#x27;S7D15&#x27;, &#x27;S8D16&#x27;, &#x27;S8D16&#x27;], dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>comp_group</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 0 0 1 1 1 2 2 ... 4 5 5 5 6 6 7 7</div><input id='attrs-368840d4-1da7-4ca0-91aa-9d9e6566ba13' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-368840d4-1da7-4ca0-91aa-9d9e6566ba13' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-62c89345-040f-4bbd-b098-9677a462be6a' class='xr-var-data-in' type='checkbox'><label for='data-62c89345-040f-4bbd-b098-9677a462be6a' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 0, 0, 1, 1, 1, 2, 2, 3, 3, 4, 4, 4, 5, 5, 5, 6, 6, 7, 7])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>source</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;S1&#x27; &#x27;S1&#x27; &#x27;S1&#x27; ... &#x27;S7&#x27; &#x27;S8&#x27; &#x27;S8&#x27;</div><input id='attrs-40d218cd-c386-4243-a5cc-0fd2c308c6c9' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-40d218cd-c386-4243-a5cc-0fd2c308c6c9' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cde5871d-c2f3-439c-bf8b-6cb4cc9b64cd' class='xr-var-data-in' type='checkbox'><label for='data-cde5871d-c2f3-439c-bf8b-6cb4cc9b64cd' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S1&#x27;), np.str_(&#x27;S2&#x27;),\n",
       "       np.str_(&#x27;S2&#x27;), np.str_(&#x27;S2&#x27;), np.str_(&#x27;S3&#x27;), np.str_(&#x27;S3&#x27;),\n",
       "       np.str_(&#x27;S4&#x27;), np.str_(&#x27;S4&#x27;), np.str_(&#x27;S5&#x27;), np.str_(&#x27;S5&#x27;),\n",
       "       np.str_(&#x27;S5&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;), np.str_(&#x27;S6&#x27;),\n",
       "       np.str_(&#x27;S7&#x27;), np.str_(&#x27;S7&#x27;), np.str_(&#x27;S8&#x27;), np.str_(&#x27;S8&#x27;)],\n",
       "      dtype=object)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>detector</span></div><div class='xr-var-dims'>(channel)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;D1&#x27; &#x27;D2&#x27; &#x27;D3&#x27; ... &#x27;D7&#x27; &#x27;D7&#x27; &#x27;D8&#x27;</div><input id='attrs-798fb0a8-29cd-4d5b-bf63-402162cf66e0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-798fb0a8-29cd-4d5b-bf63-402162cf66e0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1ec867ce-c662-4d56-857e-0debb922b3f3' class='xr-var-data-in' type='checkbox'><label for='data-1ec867ce-c662-4d56-857e-0debb922b3f3' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([np.str_(&#x27;D1&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;), np.str_(&#x27;D1&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D2&#x27;), np.str_(&#x27;D3&#x27;),\n",
       "       np.str_(&#x27;D3&#x27;), np.str_(&#x27;D4&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D6&#x27;),\n",
       "       np.str_(&#x27;D7&#x27;), np.str_(&#x27;D5&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;),\n",
       "       np.str_(&#x27;D6&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D7&#x27;), np.str_(&#x27;D8&#x27;)],\n",
       "      dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-1c2ae6e6-e09a-451f-9cc8-de4cc30a6c21' class='xr-section-summary-in' type='checkbox'  ><label for='section-1c2ae6e6-e09a-451f-9cc8-de4cc30a6c21' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>time</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-c42b2532-e61b-4474-98cb-a4f23de253c9' class='xr-index-data-in' type='checkbox'/><label for='index-c42b2532-e61b-4474-98cb-a4f23de253c9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([     0.0,    0.128,    0.256,    0.384,    0.512,     0.64,    0.768,\n",
       "          0.896,    1.024,    1.152,\n",
       "       ...\n",
       "       2973.312,  2973.44, 2973.568, 2973.696, 2973.824, 2973.952,  2974.08,\n",
       "       2974.208, 2974.336, 2974.464],\n",
       "      dtype=&#x27;float64&#x27;, name=&#x27;time&#x27;, length=23239))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>chromo</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-a5d9aa72-817e-416f-91cc-2257631ad69c' class='xr-index-data-in' type='checkbox'/><label for='index-a5d9aa72-817e-416f-91cc-2257631ad69c' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;HbO&#x27;, &#x27;HbR&#x27;], dtype=&#x27;object&#x27;, name=&#x27;chromo&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>channel</div></div><div class='xr-index-preview'>PandasIndex</div><input type='checkbox' disabled/><label></label><input id='index-abd07978-6e33-4ab6-8dd1-42f5d27b2c33' class='xr-index-data-in' type='checkbox'/><label for='index-abd07978-6e33-4ab6-8dd1-42f5d27b2c33' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Index([&#x27;S1D1&#x27;, &#x27;S1D2&#x27;, &#x27;S1D3&#x27;, &#x27;S2D1&#x27;, &#x27;S2D3&#x27;, &#x27;S2D4&#x27;, &#x27;S3D2&#x27;, &#x27;S3D3&#x27;, &#x27;S4D3&#x27;,\n",
       "       &#x27;S4D4&#x27;, &#x27;S5D5&#x27;, &#x27;S5D6&#x27;, &#x27;S5D7&#x27;, &#x27;S6D5&#x27;, &#x27;S6D7&#x27;, &#x27;S6D8&#x27;, &#x27;S7D6&#x27;, &#x27;S7D7&#x27;,\n",
       "       &#x27;S8D7&#x27;, &#x27;S8D8&#x27;],\n",
       "      dtype=&#x27;object&#x27;, name=&#x27;channel&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-39cffb01-506d-44df-a81b-b51497ecc1b0' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-39cffb01-506d-44df-a81b-b51497ecc1b0' class='xr-section-summary'  title='Expand/collapse section'>Attributes: <span>(0)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.DataArray (time: 23239, channel: 20, chromo: 2, sample: 100)> Size: 744MB\n",
       "-0.09512 -0.09486 -0.09518 -0.09504 ... 0.0001133 8.782e-05 6.622e-05 8.512e-05\n",
       "Coordinates:\n",
       "  * time           (time) float64 186kB 0.0 0.128 0.256 ... 2.974e+03 2.974e+03\n",
       "  * chromo         (chromo) <U3 24B 'HbO' 'HbR'\n",
       "    samples        (time) int64 186kB 0 1 2 3 4 ... 23235 23236 23237 23238\n",
       "  * channel        (channel) object 160B 'S1D1' 'S1D2' 'S1D3' ... 'S8D7' 'S8D8'\n",
       "    short_channel  (channel) object 160B 'S1D9' 'S1D9' ... 'S8D16' 'S8D16'\n",
       "    comp_group     (channel) int64 160B 0 0 0 1 1 1 2 2 3 3 4 4 4 5 5 5 6 6 7 7\n",
       "    source         (channel) object 160B 'S1' 'S1' 'S1' 'S2' ... 'S7' 'S8' 'S8'\n",
       "    detector       (channel) object 160B 'D1' 'D2' 'D3' 'D1' ... 'D7' 'D7' 'D8'\n",
       "Dimensions without coordinates: sample"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Predicting the time series using the sampled betas\n",
    "pred = glm.predict(ts_long, sampled_betas, dms)\n",
    "display(pred)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "execution": {
     "iopub.execute_input": "2025-06-27T05:20:52.499727Z",
     "iopub.status.busy": "2025-06-27T05:20:52.499542Z",
     "iopub.status.idle": "2025-06-27T05:20:53.329907Z",
     "shell.execute_reply": "2025-06-27T05:20:53.329439Z"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": "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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# Plot a band between mean-3*std and mean+3*std\n",
    "# We select a 20 second window for better visualization\n",
    "pred_mean = pred.mean(\"sample\")\n",
    "pred_std = pred.std(\"sample\")\n",
    "\n",
    "mm = pred_mean.loc[slice(60,80), \"S5D5\", \"HbO\"]\n",
    "ss = pred_std.loc[slice(60,80), \"S5D5\", \"HbO\"]\n",
    "\n",
    "p.plot(mm.time, mm, c=\"r\")\n",
    "p.fill_between(mm.time, mm-3*ss, mm+3*ss, fc=\"y\", alpha=.8)\n",
    "\n",
    "p.xlabel(\"time / s\")\n",
    "p.ylabel(r\"$\\Delta$  c / uM\");"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "cedalion_250620",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.13"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}