RStar.ipynb

{
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   "source": [
    "from sklearn.ensemble import GradientBoostingClassifier\n",
    "from sklearn.experimental import enable_hist_gradient_boosting\n",
    "from sklearn.ensemble import HistGradientBoostingClassifier\n",
    "from sklearn.preprocessing import StandardScaler\n",
    "from sklearn.model_selection import train_test_split"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import arviz as az"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = az.load_arviz_data(\"non_centered_eight\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0 1 2 3\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) object &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    mu       (chain, draw) float64 6.424 6.275 2.003 2.664 ... 5.339 5.551 6.124\n",
       "    theta_t  (chain, draw, school) float64 -0.000439 0.06986 ... -0.8657 2.295\n",
       "    tau      (chain, draw) float64 2.094 3.41 7.218 0.7277 ... 1.71 2.084 2.642\n",
       "    theta    (chain, draw, school) float64 6.424 6.571 4.541 ... 3.837 12.19\n",
       "Attributes:\n",
       "    created_at:                 2019-06-21T17:36:37.382566\n",
       "    inference_library:          pymc3\n",
       "    inference_library_version:  3.7</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-c5efdc43-6d31-4b7c-819a-0f7e062fa0b8' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c5efdc43-6d31-4b7c-819a-0f7e062fa0b8' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-17f1d9c4-9347-4e67-a197-a4215facc45e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-17f1d9c4-9347-4e67-a197-a4215facc45e' class='xr-section-summary' >Coordinates: <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-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-99908863-2e02-4952-a435-ce2ef518fe40' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-99908863-2e02-4952-a435-ce2ef518fe40' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3fd358d2-687a-4652-a709-0bc2a470bb9b' class='xr-var-data-in' type='checkbox'><label for='data-3fd358d2-687a-4652-a709-0bc2a470bb9b' 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, 3], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-8615e667-19d9-4a50-813e-5d637b16afd3' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8615e667-19d9-4a50-813e-5d637b16afd3' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-98b26b0d-4ae4-4878-a913-b26d0e7fa873' class='xr-var-data-in' type='checkbox'><label for='data-98b26b0d-4ae4-4878-a913-b26d0e7fa873' 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, ..., 497, 498, 499], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-70c28fdf-9fb3-46f4-9276-59320634f666' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-70c28fdf-9fb3-46f4-9276-59320634f666' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a94f5782-bd0f-46a7-823d-66b3837fa8fd' class='xr-var-data-in' type='checkbox'><label for='data-a94f5782-bd0f-46a7-823d-66b3837fa8fd' 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;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-537288b0-2845-4a3f-af83-4555776824d8' class='xr-section-summary-in' type='checkbox'  checked><label for='section-537288b0-2845-4a3f-af83-4555776824d8' class='xr-section-summary' >Data variables: <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>mu</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-620fa2af-d08d-4da3-a7e6-c0db8f47625f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-620fa2af-d08d-4da3-a7e6-c0db8f47625f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-00521ef6-0880-4cee-bc4e-eb6e1968d5ac' class='xr-var-data-in' type='checkbox'><label for='data-00521ef6-0880-4cee-bc4e-eb6e1968d5ac' 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([[ 6.424496,  6.275318,  2.002544, ...,  7.184746,  4.868628,  4.146672],\n",
       "       [ 4.453654,  1.463651,  2.05456 , ..., -0.111252,  5.927274,  7.72976 ],\n",
       "       [ 3.541669,  0.458491,  6.038596, ...,  4.781559,  4.496499,  4.100034],\n",
       "       [ 2.826254,  3.187407,  1.686524, ...,  5.338966,  5.550917,  6.124067]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta_t</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-ace06a07-71ef-458c-8813-6ab4bd767f70' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ace06a07-71ef-458c-8813-6ab4bd767f70' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4d981513-c0e2-4853-962f-847603e2256c' class='xr-var-data-in' type='checkbox'><label for='data-4d981513-c0e2-4853-962f-847603e2256c' 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([[[-4.390013e-04,  6.986411e-02, ..., -2.180736e-01, -7.803940e-01],\n",
       "        [ 4.511060e-01, -1.598789e-01, ...,  9.271477e-01,  1.930424e+00],\n",
       "        ...,\n",
       "        [ 3.794764e-01,  8.312468e-01, ...,  2.903554e-01,  4.532782e-03],\n",
       "        [ 1.034834e-01,  2.046333e+00, ...,  2.105841e+00, -4.054073e-01]],\n",
       "\n",
       "       [[-6.779112e-01, -1.071532e+00, ..., -7.710303e-01, -1.113702e+00],\n",
       "        [ 1.015883e+00, -8.793259e-01, ...,  9.932574e-01, -4.877652e-01],\n",
       "        ...,\n",
       "        [-7.231977e-01,  4.489001e-01, ...,  2.046791e+00,  1.280580e+00],\n",
       "        [-2.026395e-01,  4.924892e-01, ...,  7.037328e-01,  7.078112e-02]],\n",
       "\n",
       "       [[ 8.360213e-01, -3.595985e-01, ..., -2.119039e-01,  5.293944e-01],\n",
       "        [-4.741127e-01, -3.514585e-01, ..., -3.684728e-02,  5.460200e-01],\n",
       "        ...,\n",
       "        [ 4.915425e-01,  7.310909e-01, ...,  1.921881e+00,  7.976979e-01],\n",
       "        [ 2.713946e-01,  4.433108e-01, ...,  2.033778e+00,  1.177738e+00]],\n",
       "\n",
       "       [[-5.471862e-01,  3.438291e-02, ...,  1.018293e-01,  5.351930e-01],\n",
       "        [ 1.455531e+00,  5.771991e-01, ...,  4.464084e-01, -6.096972e-01],\n",
       "        ...,\n",
       "        [-1.686253e-02, -7.059956e-01, ...,  1.255781e+00,  1.509468e+00],\n",
       "        [ 1.497140e+00,  9.963779e-01, ..., -8.656869e-01,  2.295048e+00]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tau</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-fab2798d-61f1-4d87-b17f-ff770732814a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fab2798d-61f1-4d87-b17f-ff770732814a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-e3f1a6d1-ea69-468f-8747-b7c8c3e6a541' class='xr-var-data-in' type='checkbox'><label for='data-e3f1a6d1-ea69-468f-8747-b7c8c3e6a541' 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([[ 2.094381,  3.410265,  7.218053, ...,  4.669857,  0.871391,  2.358748],\n",
       "       [ 1.844915,  2.140853,  2.907996, ...,  4.682333,  2.099941,  1.823318],\n",
       "       [15.698513,  9.798451,  0.913423, ...,  6.696755,  3.182845,  4.434204],\n",
       "       [ 4.82527 ,  5.52743 ,  7.769617, ...,  1.709521,  2.08369 ,  2.641812]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-4a1beca3-7e2f-4f64-933c-456ba70d54f0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4a1beca3-7e2f-4f64-933c-456ba70d54f0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8895c0c1-b46b-4453-90a7-4eb6fa7c5376' class='xr-var-data-in' type='checkbox'><label for='data-8895c0c1-b46b-4453-90a7-4eb6fa7c5376' 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([[[ 6.423577,  6.570818, ...,  5.967767,  4.790054],\n",
       "        [ 7.813709,  5.730088, ...,  9.437137, 12.858575],\n",
       "        ...,\n",
       "        [ 5.1993  ,  5.592968, ...,  5.121641,  4.872578],\n",
       "        [ 4.390763,  8.973456, ...,  9.113821,  3.190418]],\n",
       "\n",
       "       [[ 3.202966,  2.476769, ...,  3.031169,  2.398969],\n",
       "        [ 3.638507, -0.418856, ...,  3.59007 ,  0.419418],\n",
       "        ...,\n",
       "        [ 4.408601,  6.869937, ..., 10.225415,  8.616416],\n",
       "        [ 7.360283,  8.627724, ...,  9.012889,  7.858816]],\n",
       "\n",
       "       [[16.665959, -2.103493, ...,  0.215092, 11.852374],\n",
       "        [-4.187079, -2.985258, ...,  0.097444,  5.808641],\n",
       "        ...,\n",
       "        [ 6.061002,  6.823448, ..., 10.613548,  7.035447],\n",
       "        [ 5.303453,  6.065764, ..., 13.118221,  9.322365]],\n",
       "\n",
       "       [[ 0.185933,  2.992161, ...,  3.317608,  5.408704],\n",
       "        [11.23275 ,  6.377834, ...,  5.654898, -0.182652],\n",
       "        ...,\n",
       "        [ 5.515781,  4.079841, ...,  8.167574,  8.69618 ],\n",
       "        [10.07923 ,  8.75631 , ...,  3.837084, 12.187154]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-8547c164-d6b2-4db3-b014-9bcc0819377a' class='xr-section-summary-in' type='checkbox'  checked><label for='section-8547c164-d6b2-4db3-b014-9bcc0819377a' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2019-06-21T17:36:37.382566</dd><dt><span>inference_library :</span></dt><dd>pymc3</dd><dt><span>inference_library_version :</span></dt><dd>3.7</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_posterior_predictivec9e8efc4-1f18-49b1-8841-53ca06ceed09\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_posterior_predictivec9e8efc4-1f18-49b1-8841-53ca06ceed09\" class = \"xr-section-summary\">posterior_predictive</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
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       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
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       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
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       "  --xr-border-color: #1F1F1F;\n",
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       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
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       "\n",
       ".xr-wrap {\n",
       "  display: block;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
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       "\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 20px 20px;\n",
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       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
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       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
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       "\n",
       ".xr-section-item input + label {\n",
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       "\n",
       ".xr-section-item input:enabled + label {\n",
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       "  color: var(--xr-font-color2);\n",
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       "\n",
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       "  color: var(--xr-font-color0);\n",
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       "\n",
       ".xr-section-summary {\n",
       "  grid-column: 1;\n",
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       "  font-weight: 500;\n",
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       "\n",
       ".xr-section-summary > span {\n",
       "  display: inline-block;\n",
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       "\n",
       ".xr-section-summary-in:disabled + label {\n",
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       "\n",
       ".xr-section-summary-in + label:before {\n",
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       "  content: '►';\n",
       "  font-size: 11px;\n",
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       "  text-align: center;\n",
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       "\n",
       ".xr-section-summary-in:disabled + label:before {\n",
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       "\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",
       "  margin-bottom: 0;\n",
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       "\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",
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       "\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",
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       "\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",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-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, 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",
       "  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",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain    (chain) int64 0 1 2 3\n",
       "  * draw     (draw) int64 0 1 2 3 4 5 6 7 8 ... 492 493 494 495 496 497 498 499\n",
       "  * school   (school) object &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (chain, draw, school) float64 9.424 -1.893 8.005 ... 2.087 28.48\n",
       "Attributes:\n",
       "    created_at:                 2019-06-21T17:36:37.487547\n",
       "    inference_library:          pymc3\n",
       "    inference_library_version:  3.7</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-bcb0ccf6-3ac6-4f5c-816c-ba81d4109ea5' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-bcb0ccf6-3ac6-4f5c-816c-ba81d4109ea5' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-7a238a1a-5499-42d0-b387-87e2547f484e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7a238a1a-5499-42d0-b387-87e2547f484e' class='xr-section-summary' >Coordinates: <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-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-caa633a6-d00d-4c0e-a4e7-09888e6d897b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-caa633a6-d00d-4c0e-a4e7-09888e6d897b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3e3675aa-8d2c-4de2-bad3-c4b3f3eec9be' class='xr-var-data-in' type='checkbox'><label for='data-3e3675aa-8d2c-4de2-bad3-c4b3f3eec9be' 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, 3], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-933ab595-2f27-404a-af1d-90d88a41c5ae' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-933ab595-2f27-404a-af1d-90d88a41c5ae' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d513bd8a-89c6-4e71-a2a2-2050fb3446ba' class='xr-var-data-in' type='checkbox'><label for='data-d513bd8a-89c6-4e71-a2a2-2050fb3446ba' 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, ..., 497, 498, 499], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-7a9cbca6-34c3-4dd8-b5c7-e6e3cfa52441' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7a9cbca6-34c3-4dd8-b5c7-e6e3cfa52441' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1def5482-defe-4422-9197-cc3b677d6615' class='xr-var-data-in' type='checkbox'><label for='data-1def5482-defe-4422-9197-cc3b677d6615' 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;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-31429cf0-a892-4c4d-a3aa-0fd008e9c301' class='xr-section-summary-in' type='checkbox'  checked><label for='section-31429cf0-a892-4c4d-a3aa-0fd008e9c301' class='xr-section-summary' >Data variables: <span>(1)</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>obs</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-ae823093-c8cf-41cb-b333-46b116ee2293' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ae823093-c8cf-41cb-b333-46b116ee2293' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ecd8eae0-5033-4a41-b94c-549794e1c27f' class='xr-var-data-in' type='checkbox'><label for='data-ecd8eae0-5033-4a41-b94c-549794e1c27f' 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([[[ 9.423688e+00, -1.893111e+00, ...,  1.411083e+01, -7.432206e+00],\n",
       "        [-6.090445e-01,  9.556514e+00, ...,  4.972343e+00,  5.107202e+01],\n",
       "        ...,\n",
       "        [-1.817124e+01,  9.093963e+00, ..., -9.791310e+00, -1.289048e+01],\n",
       "        [ 2.634456e+01,  1.806232e+00, ..., -1.367321e+01, -3.833034e+00]],\n",
       "\n",
       "       [[-8.087097e+00, -1.365784e+00, ...,  4.316141e+00, -2.168427e+01],\n",
       "        [-7.416890e+00, -8.517737e+00, ...,  3.804042e+00,  2.613402e+01],\n",
       "        ...,\n",
       "        [ 1.640230e+01,  8.788291e+00, ..., -6.591041e+00,  3.645637e+01],\n",
       "        [ 8.348011e-01, -6.850964e+00, ...,  1.432803e+01,  1.097976e+01]],\n",
       "\n",
       "       [[ 2.065802e+01,  7.662244e+00, ..., -5.165209e+00,  7.084241e+00],\n",
       "        [-1.378652e+01,  1.919201e+01, ..., -3.334317e+00,  2.616606e+01],\n",
       "        ...,\n",
       "        [-7.960477e+00,  6.477252e+00, ...,  3.625833e+00,  3.286426e+00],\n",
       "        [-3.867686e+01,  4.673039e+00, ...,  1.691200e+01, -1.061814e+01]],\n",
       "\n",
       "       [[ 1.963996e+01,  1.290987e+01, ...,  4.795901e+00,  2.243914e+01],\n",
       "        [ 2.726034e+00,  7.099693e+00, ...,  5.025990e+00,  2.775987e+01],\n",
       "        ...,\n",
       "        [ 3.609546e+01,  5.551590e+00, ..., -1.901716e+01,  1.720541e+01],\n",
       "        [ 1.592059e+01, -4.399767e-02, ...,  2.087295e+00,  2.847682e+01]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-a481357f-46aa-4e90-9373-758f9eba991b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-a481357f-46aa-4e90-9373-758f9eba991b' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2019-06-21T17:36:37.487547</dd><dt><span>inference_library :</span></dt><dd>pymc3</dd><dt><span>inference_library_version :</span></dt><dd>3.7</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
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       "            \n",
       "            <li class = \"xr-section-item\">\n",
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       "                  <div class=\"xr-section-details\">\n",
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       "}\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 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\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: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",
       "  margin-bottom: 0;\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",
       "}\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-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",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-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, 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",
       "  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",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:           (chain: 4, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain             (chain) int64 0 1 2 3\n",
       "  * draw              (draw) int64 0 1 2 3 4 5 6 ... 493 494 495 496 497 498 499\n",
       "  * school            (school) object &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    tune              (chain, draw) bool True False False ... False False False\n",
       "    depth             (chain, draw) int64 3 3 3 3 3 3 3 3 3 ... 3 3 3 3 3 3 3 3\n",
       "    tree_size         (chain, draw) float64 7.0 7.0 7.0 7.0 ... 7.0 7.0 7.0 7.0\n",
       "    lp                (chain, draw) float64 -43.18 -45.53 ... -45.33 -46.47\n",
       "    energy_error      (chain, draw) float64 0.009026 0.3015 ... 0.02968\n",
       "    step_size_bar     (chain, draw) float64 0.543 0.543 0.543 ... 0.5398 0.5398\n",
       "    max_energy_error  (chain, draw) float64 0.1725 0.3265 3.684 ... 1.004 0.4816\n",
       "    energy            (chain, draw) float64 46.75 48.95 56.69 ... 52.13 51.57\n",
       "    mean_tree_accept  (chain, draw) float64 0.9032 0.8249 ... 0.7628 0.8899\n",
       "    step_size         (chain, draw) float64 0.5235 0.5235 ... 0.4142 0.4142\n",
       "    diverging         (chain, draw) bool False False False ... False False False\n",
       "    log_likelihood    (chain, draw, school) float64 -4.662 -3.232 ... -3.809\n",
       "Attributes:\n",
       "    created_at:                 2019-06-21T17:36:37.484480\n",
       "    inference_library:          pymc3\n",
       "    inference_library_version:  3.7</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-c1e8f20f-0ecb-4b4f-9d36-578777d07020' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c1e8f20f-0ecb-4b4f-9d36-578777d07020' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 4</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-7a7e4c04-a205-439d-9ff0-c82ff748bb7e' class='xr-section-summary-in' type='checkbox'  checked><label for='section-7a7e4c04-a205-439d-9ff0-c82ff748bb7e' class='xr-section-summary' >Coordinates: <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-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-49fc77f3-4d85-40c5-b309-cfefae323f1b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-49fc77f3-4d85-40c5-b309-cfefae323f1b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6b9751a9-ace3-44a3-8acf-47d23f3b24e2' class='xr-var-data-in' type='checkbox'><label for='data-6b9751a9-ace3-44a3-8acf-47d23f3b24e2' 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, 3], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-bf48fd57-4441-41bb-8474-26ad0c3c66b8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bf48fd57-4441-41bb-8474-26ad0c3c66b8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d8fd7f16-40ce-4a60-9725-f45ca11dabdc' class='xr-var-data-in' type='checkbox'><label for='data-d8fd7f16-40ce-4a60-9725-f45ca11dabdc' 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, ..., 497, 498, 499], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-ac0c310a-ab49-47e5-a3a8-d835e24b7af2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-ac0c310a-ab49-47e5-a3a8-d835e24b7af2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f952eed9-add6-4f11-a4f7-40d3beb0ffc1' class='xr-var-data-in' type='checkbox'><label for='data-f952eed9-add6-4f11-a4f7-40d3beb0ffc1' 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;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d3d81530-6c9d-4a41-9c36-a97950960a81' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d3d81530-6c9d-4a41-9c36-a97950960a81' class='xr-section-summary' >Data variables: <span>(12)</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>tune</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-56f71aca-e3e5-4615-ab57-d60b295f132e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-56f71aca-e3e5-4615-ab57-d60b295f132e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-49dcf7be-0c7a-444e-889b-ffe02f4397de' class='xr-var-data-in' type='checkbox'><label for='data-49dcf7be-0c7a-444e-889b-ffe02f4397de' 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([[ True, False, False, ..., False, False, False],\n",
       "       [ True, False, False, ..., False, False, False],\n",
       "       [ True, False, False, ..., False, False, False],\n",
       "       [ True, False, False, ..., False, False, False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>depth</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-cf85751f-e550-4993-ab56-8d67a1d25922' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cf85751f-e550-4993-ab56-8d67a1d25922' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dde82d1b-0133-403c-aaa5-1de36611031a' class='xr-var-data-in' type='checkbox'><label for='data-dde82d1b-0133-403c-aaa5-1de36611031a' 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([[3, 3, 3, ..., 3, 3, 3],\n",
       "       [3, 3, 3, ..., 3, 3, 2],\n",
       "       [3, 3, 3, ..., 3, 3, 3],\n",
       "       [4, 3, 3, ..., 3, 3, 3]], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tree_size</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-b269fef2-9de0-4490-b3d9-f2b443e08e80' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-b269fef2-9de0-4490-b3d9-f2b443e08e80' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5f9169a0-3ca2-4332-961a-e02b6aa3e5b2' class='xr-var-data-in' type='checkbox'><label for='data-5f9169a0-3ca2-4332-961a-e02b6aa3e5b2' 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([[ 7.,  7.,  7., ...,  7.,  7.,  7.],\n",
       "       [ 7.,  7.,  7., ...,  7.,  7.,  3.],\n",
       "       [ 7.,  7.,  7., ...,  7.,  7.,  7.],\n",
       "       [15.,  7.,  7., ...,  7.,  7.,  7.]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>lp</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-5a5c9c57-83a8-47c4-bfb0-c4540132c070' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5a5c9c57-83a8-47c4-bfb0-c4540132c070' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-98082f5e-5641-41fa-8f36-acb945b82dac' class='xr-var-data-in' type='checkbox'><label for='data-98082f5e-5641-41fa-8f36-acb945b82dac' 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([[-43.17838 , -45.526949, -45.22561 , ..., -45.422973, -44.287998,\n",
       "        -46.675297],\n",
       "       [-52.961367, -50.637439, -43.152052, ..., -47.083205, -47.187779,\n",
       "        -43.333767],\n",
       "       [-43.689143, -44.588439, -43.85149 , ..., -44.767163, -44.694659,\n",
       "        -44.074285],\n",
       "       [-43.531922, -42.783677, -42.407224, ..., -45.388717, -45.328184,\n",
       "        -46.465472]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-e7dedb73-bc9d-4ca9-9a24-7de623145fc2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e7dedb73-bc9d-4ca9-9a24-7de623145fc2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-466a6bfa-e132-436d-a040-71f549119a26' class='xr-var-data-in' type='checkbox'><label for='data-466a6bfa-e132-436d-a040-71f549119a26' 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([[ 0.009026,  0.301476, -0.483758, ..., -0.053244,  0.101864,  0.156815],\n",
       "       [-0.102998, -0.190178, -0.561087, ..., -1.036802,  0.220259, -0.355954],\n",
       "       [-0.130685,  0.185456,  0.201763, ...,  0.151359,  0.004583, -0.051214],\n",
       "       [ 0.055835, -0.05627 , -0.315045, ..., -1.721635, -0.003349,  0.029677]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size_bar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-0bc89923-c497-49bf-9710-685b57c4194d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0bc89923-c497-49bf-9710-685b57c4194d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0a1fc178-27ad-4200-90d4-20b4f61fb25a' class='xr-var-data-in' type='checkbox'><label for='data-0a1fc178-27ad-4200-90d4-20b4f61fb25a' 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([[0.543044, 0.543044, 0.543044, ..., 0.543044, 0.543044, 0.543044],\n",
       "       [0.578284, 0.578284, 0.578284, ..., 0.578284, 0.578284, 0.578284],\n",
       "       [0.474941, 0.474941, 0.474941, ..., 0.474941, 0.474941, 0.474941],\n",
       "       [0.539752, 0.539752, 0.539752, ..., 0.539752, 0.539752, 0.539752]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>max_energy_error</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-18b1d728-07cc-4554-808d-1553d3a9715d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-18b1d728-07cc-4554-808d-1553d3a9715d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-98b1c14f-8447-429f-8d32-8b578bfef12c' class='xr-var-data-in' type='checkbox'><label for='data-98b1c14f-8447-429f-8d32-8b578bfef12c' 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([[ 0.17253 ,  0.326511,  3.684497, ..., -0.183043,  0.448503,  0.97031 ],\n",
       "       [-0.508618, -0.413662, -0.561087, ..., -1.036802,  0.232452, -0.355954],\n",
       "       [-0.179655,  0.686642,  2.472732, ...,  0.275428,  0.399483, -0.178173],\n",
       "       [ 0.086886, -0.098962, -0.412296, ..., -1.802828,  1.003858,  0.481597]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>energy</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-be2c2530-ffb7-4816-9165-dbf8080d378f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-be2c2530-ffb7-4816-9165-dbf8080d378f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6e9ce2b8-9767-4c56-b9ef-aeef00a31f76' class='xr-var-data-in' type='checkbox'><label for='data-6e9ce2b8-9767-4c56-b9ef-aeef00a31f76' 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([[46.753698, 48.954713, 56.685344, ..., 48.081829, 48.798014, 57.298326],\n",
       "       [62.295123, 59.470208, 51.996102, ..., 50.998722, 52.984818, 49.755419],\n",
       "       [45.955844, 53.277585, 49.95698 , ..., 51.891094, 53.000915, 46.427173],\n",
       "       [46.497843, 45.120792, 44.271628, ..., 52.115909, 52.129839, 51.574717]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>mean_tree_accept</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-82a8acd4-ddef-4cd7-9248-15723eebd66e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-82a8acd4-ddef-4cd7-9248-15723eebd66e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-df58df18-4b13-4b49-91d7-5e2e48f394e8' class='xr-var-data-in' type='checkbox'><label for='data-df58df18-4b13-4b49-91d7-5e2e48f394e8' 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([[0.903178, 0.824896, 0.279026, ..., 1.      , 0.796707, 0.764234],\n",
       "       [0.948421, 0.973241, 0.990978, ..., 0.923778, 0.85139 , 0.94405 ],\n",
       "       [0.958192, 0.687672, 0.350114, ..., 0.874642, 0.864249, 0.997672],\n",
       "       [0.95867 , 0.976272, 1.      , ..., 0.977136, 0.762795, 0.889925]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>step_size</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-8ebd2d59-d3f3-490e-8842-23318f35b10e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8ebd2d59-d3f3-490e-8842-23318f35b10e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1b18d58f-ff64-4c99-a873-16d617704ab8' class='xr-var-data-in' type='checkbox'><label for='data-1b18d58f-ff64-4c99-a873-16d617704ab8' 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([[0.523539, 0.523539, 0.523539, ..., 0.523539, 0.523539, 0.523539],\n",
       "       [0.492321, 0.492321, 0.492321, ..., 0.492321, 0.492321, 0.492321],\n",
       "       [0.409462, 0.409462, 0.409462, ..., 0.409462, 0.409462, 0.409462],\n",
       "       [0.414229, 0.414229, 0.414229, ..., 0.414229, 0.414229, 0.414229]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>diverging</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-03938383-e246-4d91-b3f2-d33012ada1c8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-03938383-e246-4d91-b3f2-d33012ada1c8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c02d8994-a07d-4458-b42b-6fd1f99abf9c' class='xr-var-data-in' type='checkbox'><label for='data-c02d8994-a07d-4458-b42b-6fd1f99abf9c' 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([[False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False],\n",
       "       [False, False, False, ..., False, False, False]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>log_likelihood</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-6e71d633-f9b2-44ea-b33d-c526273b95ed' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-6e71d633-f9b2-44ea-b33d-c526273b95ed' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-715e2630-92a1-4568-825d-1d59661bac05' class='xr-var-data-in' type='checkbox'><label for='data-715e2630-92a1-4568-825d-1d59661bac05' 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([[[-4.661527, -3.231736, ..., -3.945397, -3.889531],\n",
       "        [-4.532514, -3.247286, ..., -3.588137, -3.810448],\n",
       "        ...,\n",
       "        [-4.78226 , -3.250493, ..., -4.050784, -3.887706],\n",
       "        [-4.865647, -3.226262, ..., -3.616344, -3.929077]],\n",
       "\n",
       "       [[-4.993417, -3.374054, ..., -4.341853, -3.951563],\n",
       "        [-4.945838, -3.575909, ..., -4.259754, -4.01627 ],\n",
       "        ...,\n",
       "        [-4.863776, -3.227909, ..., -3.523744, -3.826978],\n",
       "        [-4.573651, -3.223494, ..., -3.625364, -3.835775]],\n",
       "\n",
       "       [[-3.912456, -3.731926, ..., -4.803038, -3.809344],\n",
       "        [-5.929229, -3.824903, ..., -4.824031, -3.868466],\n",
       "        ...,\n",
       "        [-4.696588, -3.228445, ..., -3.494322, -3.847345],\n",
       "        [-4.771729, -3.24023 , ..., -3.340682, -3.820375]],\n",
       "\n",
       "       [[-5.346149, -3.346916, ..., -4.299387, -3.876355],\n",
       "        [-4.251746, -3.234681, ..., -3.983531, -4.038349],\n",
       "        ...,\n",
       "        [-4.750411, -3.298362, ..., -3.704907, -3.826155],\n",
       "        [-4.340664, -3.224384, ..., -4.224465, -3.809364]]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-3282b3b1-2555-4607-8be1-f011becac297' class='xr-section-summary-in' type='checkbox'  checked><label for='section-3282b3b1-2555-4607-8be1-f011becac297' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2019-06-21T17:36:37.484480</dd><dt><span>inference_library :</span></dt><dd>pymc3</dd><dt><span>inference_library_version :</span></dt><dd>3.7</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_prior5ce618b1-bfa4-4f2d-9bf8-d22669e84924\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_prior5ce618b1-bfa4-4f2d-9bf8-d22669e84924\" class = \"xr-section-summary\">prior</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><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(--jp-content-font-color0, rgba(0, 0, 0, 1));\n",
       "  --xr-font-color2: var(--jp-content-font-color2, rgba(0, 0, 0, 0.54));\n",
       "  --xr-font-color3: var(--jp-content-font-color3, rgba(0, 0, 0, 0.38));\n",
       "  --xr-border-color: var(--jp-border-color2, #e0e0e0);\n",
       "  --xr-disabled-color: var(--jp-layout-color3, #bdbdbd);\n",
       "  --xr-background-color: var(--jp-layout-color0, white);\n",
       "  --xr-background-color-row-even: var(--jp-layout-color1, white);\n",
       "  --xr-background-color-row-odd: var(--jp-layout-color2, #eeeeee);\n",
       "}\n",
       "\n",
       "html[theme=dark],\n",
       "body.vscode-dark {\n",
       "  --xr-font-color0: rgba(255, 255, 255, 1);\n",
       "  --xr-font-color2: rgba(255, 255, 255, 0.54);\n",
       "  --xr-font-color3: rgba(255, 255, 255, 0.38);\n",
       "  --xr-border-color: #1F1F1F;\n",
       "  --xr-disabled-color: #515151;\n",
       "  --xr-background-color: #111111;\n",
       "  --xr-background-color-row-even: #111111;\n",
       "  --xr-background-color-row-odd: #313131;\n",
       "}\n",
       "\n",
       ".xr-wrap {\n",
       "  display: block;\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 20px 20px;\n",
       "}\n",
       "\n",
       ".xr-section-item {\n",
       "  display: contents;\n",
       "}\n",
       "\n",
       ".xr-section-item input {\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-section-item input + label {\n",
       "  color: var(--xr-disabled-color);\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: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",
       "  margin-bottom: 0;\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",
       "}\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-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",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-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, 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",
       "  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",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:    (chain: 1, draw: 500, school: 8)\n",
       "Coordinates:\n",
       "  * chain      (chain) int64 0\n",
       "  * draw       (draw) int64 0 1 2 3 4 5 6 7 ... 492 493 494 495 496 497 498 499\n",
       "  * school     (school) object &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs        (chain, draw, school) float64 -7.299 -4.477 ... -7.388 -0.3322\n",
       "    theta_t    (chain, draw, school) float64 0.5478 0.4233 ... -0.7948 -0.5729\n",
       "    tau        (chain, draw) float64 0.009301 2.146 33.01 ... 18.43 2.301 1.718\n",
       "    tau_log__  (chain, draw) float64 -4.678 0.7637 3.497 ... 2.914 0.8335 0.5413\n",
       "    theta      (chain, draw, school) float64 -3.626 -3.627 ... -4.299 -3.918\n",
       "    mu         (chain, draw) float64 -3.631 -1.434 -2.172 ... 0.1286 -2.934\n",
       "Attributes:\n",
       "    created_at:                 2019-06-21T17:36:37.489185\n",
       "    inference_library:          pymc3\n",
       "    inference_library_version:  3.7</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-a4636ede-1852-4a82-8d64-fd14aec2f5bf' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-a4636ede-1852-4a82-8d64-fd14aec2f5bf' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>chain</span>: 1</li><li><span class='xr-has-index'>draw</span>: 500</li><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-62540024-54c8-42b5-9a31-067aa16a6cdf' class='xr-section-summary-in' type='checkbox'  checked><label for='section-62540024-54c8-42b5-9a31-067aa16a6cdf' class='xr-section-summary' >Coordinates: <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-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0</div><input id='attrs-fd122798-21cd-45fc-b8ba-402e6082ba9f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fd122798-21cd-45fc-b8ba-402e6082ba9f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-086ff37f-8766-4cdf-b908-6374ff6716e3' class='xr-var-data-in' type='checkbox'><label for='data-086ff37f-8766-4cdf-b908-6374ff6716e3' 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], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>draw</span></div><div class='xr-var-dims'>(draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 495 496 497 498 499</div><input id='attrs-64643a25-9225-4026-8efe-f9e53ef4a713' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-64643a25-9225-4026-8efe-f9e53ef4a713' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d66c3573-91c2-4dbc-b79b-5acdbc52c8c9' class='xr-var-data-in' type='checkbox'><label for='data-d66c3573-91c2-4dbc-b79b-5acdbc52c8c9' 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, ..., 497, 498, 499], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-d5505faf-3718-4f42-a077-9909064900bd' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d5505faf-3718-4f42-a077-9909064900bd' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4fe016d5-3e27-40cf-82a1-5a769dbfa0d9' class='xr-var-data-in' type='checkbox'><label for='data-4fe016d5-3e27-40cf-82a1-5a769dbfa0d9' 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;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-41826503-3b6c-4a17-9272-9da5600c8a58' class='xr-section-summary-in' type='checkbox'  checked><label for='section-41826503-3b6c-4a17-9272-9da5600c8a58' class='xr-section-summary' >Data variables: <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>obs</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-edd68660-8294-4594-a5fe-66f380e4b364' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-edd68660-8294-4594-a5fe-66f380e4b364' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-efb3ffc5-824f-4958-a11a-b97a628d6d26' class='xr-var-data-in' type='checkbox'><label for='data-efb3ffc5-824f-4958-a11a-b97a628d6d26' 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([[[ -7.299475,  -4.477039, ...,   3.18891 , -12.457577],\n",
       "        [  8.946856,  -2.717955, ...,   0.329613, -20.845479],\n",
       "        ...,\n",
       "        [ -0.90532 , -20.714879, ...,   5.878471,  23.467431],\n",
       "        [ -6.951286,  10.388593, ...,  -7.388243,  -0.332228]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta_t</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-e4c42cb5-3fa5-4ea0-8a2c-c053e2e71f33' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e4c42cb5-3fa5-4ea0-8a2c-c053e2e71f33' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-155b50a7-5679-4964-9fb0-c7959100c37d' class='xr-var-data-in' type='checkbox'><label for='data-155b50a7-5679-4964-9fb0-c7959100c37d' 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([[[ 0.547833,  0.423328, ...,  0.854994,  0.897682],\n",
       "        [ 0.351577,  1.586002, ..., -0.198845,  0.684989],\n",
       "        ...,\n",
       "        [-0.246459, -0.274695, ...,  0.008651, -0.830337],\n",
       "        [ 1.446016, -0.587812, ..., -0.794778, -0.572875]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tau</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-bbf87fce-6767-47ef-a8bc-a9573e26267a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bbf87fce-6767-47ef-a8bc-a9573e26267a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8f436852-8fc2-403a-ae17-ef648bea5d97' class='xr-var-data-in' type='checkbox'><label for='data-8f436852-8fc2-403a-ae17-ef648bea5d97' 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([[9.301272e-03, 2.146194e+00, 3.301094e+01, ..., 1.843376e+01,\n",
       "        2.301349e+00, 1.718255e+00]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tau_log__</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-c16ad524-332d-451e-be73-4b21f6bdc668' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c16ad524-332d-451e-be73-4b21f6bdc668' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f96fb561-5f16-4de8-a31a-8fddb08fc8ea' class='xr-var-data-in' type='checkbox'><label for='data-f96fb561-5f16-4de8-a31a-8fddb08fc8ea' 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([[-4.677604,  0.763696,  3.496839, ...,  2.914184,  0.833496,  0.541309]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>theta</span></div><div class='xr-var-dims'>(chain, draw, school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-3bba46b1-4ba4-4cd9-ba16-bbce2476fd5f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3bba46b1-4ba4-4cd9-ba16-bbce2476fd5f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ea3f13a7-5fea-4bee-82d6-d292ee78a84e' class='xr-var-data-in' type='checkbox'><label for='data-ea3f13a7-5fea-4bee-82d6-d292ee78a84e' 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([[[-3.625798, -3.626956, ..., -3.622941, -3.622544],\n",
       "        [-0.67899 ,  1.970324, ..., -1.860304,  0.036575],\n",
       "        ...,\n",
       "        [-0.43854 , -0.503523, ...,  0.148557, -1.782247],\n",
       "        [-0.448928, -3.943564, ..., -4.299184, -3.917898]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>mu</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-7a827c71-c234-4a85-a891-1cb21e201f1e' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7a827c71-c234-4a85-a891-1cb21e201f1e' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f9fe3660-b08e-440a-a3df-fc9be52e9d27' class='xr-var-data-in' type='checkbox'><label for='data-f9fe3660-b08e-440a-a3df-fc9be52e9d27' 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([[-3.630894, -1.433543, -2.171609, ...,  4.020907,  0.128648, -2.933553]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-9cf3ad28-8d76-4b64-9d6f-afb524b58f4b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-9cf3ad28-8d76-4b64-9d6f-afb524b58f4b' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2019-06-21T17:36:37.489185</dd><dt><span>inference_library :</span></dt><dd>pymc3</dd><dt><span>inference_library_version :</span></dt><dd>3.7</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_observed_data030d87de-b5d0-457e-bfc8-5532dac2e5e4\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_observed_data030d87de-b5d0-457e-bfc8-5532dac2e5e4\" class = \"xr-section-summary\">observed_data</label>\n",
       "                  <div class=\"xr-section-inline-details\"></div>\n",
       "                  <div class=\"xr-section-details\">\n",
       "                      <ul id=\"xr-dataset-coord-list\" class=\"xr-var-list\">\n",
       "                          <div style=\"padding-left:2rem;\"><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",
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       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
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       "\n",
       ".xr-attrs dt {\n",
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       "\n",
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       "\n",
       ".xr-attrs dd {\n",
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       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (school: 8)\n",
       "Coordinates:\n",
       "  * school   (school) object &#x27;Choate&#x27; &#x27;Deerfield&#x27; ... &quot;St. Paul&#x27;s&quot; &#x27;Mt. Hermon&#x27;\n",
       "Data variables:\n",
       "    obs      (school) float64 28.0 8.0 -3.0 7.0 -1.0 1.0 18.0 12.0\n",
       "Attributes:\n",
       "    created_at:                 2019-06-21T17:36:37.491073\n",
       "    inference_library:          pymc3\n",
       "    inference_library_version:  3.7</pre><div class='xr-wrap' hidden><div class='xr-header'><div class='xr-obj-type'>xarray.Dataset</div></div><ul class='xr-sections'><li class='xr-section-item'><input id='section-c8535e4a-7326-40a3-82b3-e8f575ad4e2e' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-c8535e4a-7326-40a3-82b3-e8f575ad4e2e' class='xr-section-summary'  title='Expand/collapse section'>Dimensions:</label><div class='xr-section-inline-details'><ul class='xr-dim-list'><li><span class='xr-has-index'>school</span>: 8</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-0ffa9b06-2851-4f70-96ce-de226060c98f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-0ffa9b06-2851-4f70-96ce-de226060c98f' class='xr-section-summary' >Coordinates: <span>(1)</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'>school</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>object</div><div class='xr-var-preview xr-preview'>&#x27;Choate&#x27; ... &#x27;Mt. Hermon&#x27;</div><input id='attrs-76b8730a-3162-4465-85ee-eb3550824f3d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-76b8730a-3162-4465-85ee-eb3550824f3d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-25dde04c-4ad7-42bc-afef-683dcbc831b5' class='xr-var-data-in' type='checkbox'><label for='data-25dde04c-4ad7-42bc-afef-683dcbc831b5' 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;Choate&#x27;, &#x27;Deerfield&#x27;, &#x27;Phillips Andover&#x27;, &#x27;Phillips Exeter&#x27;,\n",
       "       &#x27;Hotchkiss&#x27;, &#x27;Lawrenceville&#x27;, &quot;St. Paul&#x27;s&quot;, &#x27;Mt. Hermon&#x27;], dtype=object)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ea7ac12d-6a15-49bf-8090-e0ecc697c095' class='xr-section-summary-in' type='checkbox'  checked><label for='section-ea7ac12d-6a15-49bf-8090-e0ecc697c095' class='xr-section-summary' >Data variables: <span>(1)</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>obs</span></div><div class='xr-var-dims'>(school)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>...</div><input id='attrs-7e5c5001-41bf-4951-8915-ad5f714ab16d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7e5c5001-41bf-4951-8915-ad5f714ab16d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a818eab0-f6d2-4f20-a7f0-ef3f827e8600' class='xr-var-data-in' type='checkbox'><label for='data-a818eab0-f6d2-4f20-a7f0-ef3f827e8600' 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([28.,  8., -3.,  7., -1.,  1., 18., 12.])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-2b58f461-d21a-455f-9f51-b6d0a35e9396' class='xr-section-summary-in' type='checkbox'  checked><label for='section-2b58f461-d21a-455f-9f51-b6d0a35e9396' class='xr-section-summary' >Attributes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><dl class='xr-attrs'><dt><span>created_at :</span></dt><dd>2019-06-21T17:36:37.491073</dd><dt><span>inference_library :</span></dt><dd>pymc3</dd><dt><span>inference_library_version :</span></dt><dd>3.7</dd></dl></div></li></ul></div></div><br></div>\n",
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       "  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",
       "  margin-bottom: 0;\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",
       "}\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-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",
       "  display: none;\n",
       "  background-color: var(--xr-background-color) !important;\n",
       "  padding-bottom: 5px !important;\n",
       "}\n",
       "\n",
       ".xr-var-attrs-in:checked ~ .xr-var-attrs,\n",
       ".xr-var-data-in:checked ~ .xr-var-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-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, 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",
       "  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",
       ".xr-wrap{width:700px!important;} </style>"
      ],
      "text/plain": [
       "Inference data with groups:\n",
       "\t> posterior\n",
       "\t> posterior_predictive\n",
       "\t> sample_stats\n",
       "\t> prior\n",
       "\t> observed_data"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "def to_dataframe(idata, groups=\"posterior\"):\n",
    "    if isinstance(groups, str):\n",
    "        groups = [groups]\n",
    "    \n",
    "    idict = idata.to_dict(groups=groups)\n",
    "    dims = idict[\"dims\"]\n",
    "    coords = idict[\"coords\"]\n",
    "    idfs = {}\n",
    "    coords_info = {}\n",
    "    group_dfs = []\n",
    "    for group, values in idict.items():\n",
    "        if group in {\"dims\", \"coords\", \"observed_data\", \"constant_data\", \"attrs\"}:\n",
    "            continue\n",
    "        group_dict = {}\n",
    "        chain = draw = None\n",
    "        for variable, array in values.items():\n",
    "            if chain is None:\n",
    "                chain, draw = array.shape[:2]\n",
    "                group_dict[\"chain\"] = (np.ones((chain, draw), dtype=int) * np.arange(chain)[:, None]).ravel()\n",
    "                group_dict[\"draw\"] = (np.ones((chain, draw), dtype=int) * np.arange(draw)).ravel()\n",
    "            if not array.shape[2:]:\n",
    "                group_dict[variable] = array.ravel()\n",
    "                continue\n",
    "            for idx in np.ndindex(array.shape[2:]):\n",
    "                key = f\"{variable}[{','.join(map(str, idx))}]\"\n",
    "                idx_tuple = (slice(None), slice(None)) + idx\n",
    "                group_dict[key] = array[idx_tuple].ravel()\n",
    "\n",
    "                if variable in dims:\n",
    "                    var_dims = dims[variable]\n",
    "                    for i, dim in enumerate(var_dims):\n",
    "                        if dim in coords:\n",
    "                            coord_value = coords[dim][idx[i]]\n",
    "                            coords_info[(group, key)] = (dim, coord_value)\n",
    "        group_df = pd.DataFrame.from_dict(group_dict, orient=\"columns\")\n",
    "        group_dfs.append(group_df)\n",
    "        idfs[group] = group_df\n",
    "    return pd.concat(group_dfs, axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "df = to_dataframe(data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>chain</th>\n",
       "      <th>draw</th>\n",
       "      <th>mu</th>\n",
       "      <th>theta_t[0]</th>\n",
       "      <th>theta_t[1]</th>\n",
       "      <th>theta_t[2]</th>\n",
       "      <th>theta_t[3]</th>\n",
       "      <th>theta_t[4]</th>\n",
       "      <th>theta_t[5]</th>\n",
       "      <th>theta_t[6]</th>\n",
       "      <th>theta_t[7]</th>\n",
       "      <th>tau</th>\n",
       "      <th>theta[0]</th>\n",
       "      <th>theta[1]</th>\n",
       "      <th>theta[2]</th>\n",
       "      <th>theta[3]</th>\n",
       "      <th>theta[4]</th>\n",
       "      <th>theta[5]</th>\n",
       "      <th>theta[6]</th>\n",
       "      <th>theta[7]</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>6.424496</td>\n",
       "      <td>-0.000439</td>\n",
       "      <td>0.069864</td>\n",
       "      <td>-0.899198</td>\n",
       "      <td>-0.834953</td>\n",
       "      <td>-0.465263</td>\n",
       "      <td>-0.573231</td>\n",
       "      <td>-0.218074</td>\n",
       "      <td>-0.780394</td>\n",
       "      <td>2.094381</td>\n",
       "      <td>6.423577</td>\n",
       "      <td>6.570818</td>\n",
       "      <td>4.541233</td>\n",
       "      <td>4.675786</td>\n",
       "      <td>5.450058</td>\n",
       "      <td>5.223933</td>\n",
       "      <td>5.967767</td>\n",
       "      <td>4.790054</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>6.275318</td>\n",
       "      <td>0.451106</td>\n",
       "      <td>-0.159879</td>\n",
       "      <td>-0.181985</td>\n",
       "      <td>1.716649</td>\n",
       "      <td>-1.142496</td>\n",
       "      <td>-0.415228</td>\n",
       "      <td>0.927148</td>\n",
       "      <td>1.930424</td>\n",
       "      <td>3.410265</td>\n",
       "      <td>7.813709</td>\n",
       "      <td>5.730088</td>\n",
       "      <td>5.654700</td>\n",
       "      <td>12.129547</td>\n",
       "      <td>2.379104</td>\n",
       "      <td>4.859280</td>\n",
       "      <td>9.437137</td>\n",
       "      <td>12.858575</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>2.002544</td>\n",
       "      <td>0.355601</td>\n",
       "      <td>-1.327501</td>\n",
       "      <td>0.093661</td>\n",
       "      <td>0.474082</td>\n",
       "      <td>-0.015141</td>\n",
       "      <td>-1.173613</td>\n",
       "      <td>1.006623</td>\n",
       "      <td>1.614409</td>\n",
       "      <td>7.218053</td>\n",
       "      <td>4.569291</td>\n",
       "      <td>-7.579426</td>\n",
       "      <td>2.678591</td>\n",
       "      <td>5.424492</td>\n",
       "      <td>1.893253</td>\n",
       "      <td>-6.468660</td>\n",
       "      <td>9.268400</td>\n",
       "      <td>13.655430</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>2.664447</td>\n",
       "      <td>0.966310</td>\n",
       "      <td>0.691122</td>\n",
       "      <td>-1.020377</td>\n",
       "      <td>-0.430484</td>\n",
       "      <td>1.116049</td>\n",
       "      <td>1.377916</td>\n",
       "      <td>-1.054173</td>\n",
       "      <td>-1.019523</td>\n",
       "      <td>0.727693</td>\n",
       "      <td>3.367624</td>\n",
       "      <td>3.167371</td>\n",
       "      <td>1.921925</td>\n",
       "      <td>2.351186</td>\n",
       "      <td>3.476588</td>\n",
       "      <td>3.667147</td>\n",
       "      <td>1.897332</td>\n",
       "      <td>1.922547</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>3.260363</td>\n",
       "      <td>0.359809</td>\n",
       "      <td>-0.817421</td>\n",
       "      <td>-0.037301</td>\n",
       "      <td>-0.465238</td>\n",
       "      <td>0.284987</td>\n",
       "      <td>0.658687</td>\n",
       "      <td>0.263021</td>\n",
       "      <td>0.013047</td>\n",
       "      <td>0.043711</td>\n",
       "      <td>3.276090</td>\n",
       "      <td>3.224633</td>\n",
       "      <td>3.258732</td>\n",
       "      <td>3.240027</td>\n",
       "      <td>3.272820</td>\n",
       "      <td>3.289154</td>\n",
       "      <td>3.271860</td>\n",
       "      <td>3.260933</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   chain  draw        mu  theta_t[0]  theta_t[1]  theta_t[2]  theta_t[3]  \\\n",
       "0      0     0  6.424496   -0.000439    0.069864   -0.899198   -0.834953   \n",
       "1      0     1  6.275318    0.451106   -0.159879   -0.181985    1.716649   \n",
       "2      0     2  2.002544    0.355601   -1.327501    0.093661    0.474082   \n",
       "3      0     3  2.664447    0.966310    0.691122   -1.020377   -0.430484   \n",
       "4      0     4  3.260363    0.359809   -0.817421   -0.037301   -0.465238   \n",
       "\n",
       "   theta_t[4]  theta_t[5]  theta_t[6]  theta_t[7]       tau  theta[0]  \\\n",
       "0   -0.465263   -0.573231   -0.218074   -0.780394  2.094381  6.423577   \n",
       "1   -1.142496   -0.415228    0.927148    1.930424  3.410265  7.813709   \n",
       "2   -0.015141   -1.173613    1.006623    1.614409  7.218053  4.569291   \n",
       "3    1.116049    1.377916   -1.054173   -1.019523  0.727693  3.367624   \n",
       "4    0.284987    0.658687    0.263021    0.013047  0.043711  3.276090   \n",
       "\n",
       "   theta[1]  theta[2]   theta[3]  theta[4]  theta[5]  theta[6]   theta[7]  \n",
       "0  6.570818  4.541233   4.675786  5.450058  5.223933  5.967767   4.790054  \n",
       "1  5.730088  5.654700  12.129547  2.379104  4.859280  9.437137  12.858575  \n",
       "2 -7.579426  2.678591   5.424492  1.893253 -6.468660  9.268400  13.655430  \n",
       "3  3.167371  1.921925   2.351186  3.476588  3.667147  1.897332   1.922547  \n",
       "4  3.224633  3.258732   3.240027  3.272820  3.289154  3.271860   3.260933  "
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "N = len(set(df.chain))\n",
    "N"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rstar_gradienboost(df, n=100):\n",
    "    rstars = []\n",
    "    N = len(set(df.chain))\n",
    "    j = 0\n",
    "    for i in range(n):\n",
    "        X_trains = []\n",
    "        y_trains = []\n",
    "        X_tests = []\n",
    "        y_tests = []\n",
    "        for chain, subdf in df.groupby(\"chain\"):\n",
    "            X = subdf.iloc[:, 2:].values\n",
    "            y = subdf.iloc[:, 0].values\n",
    "            X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=j, test_size=0.3)\n",
    "            j += 1\n",
    "            X_trains.append(X_train)\n",
    "            y_trains.append(y_train)\n",
    "            X_tests.append(X_test)\n",
    "            y_tests.append(y_test)\n",
    "\n",
    "        X_train = np.concatenate(X_trains)\n",
    "        y_train = np.concatenate(y_trains)\n",
    "        X_test = np.concatenate(X_tests)\n",
    "        y_test = np.concatenate(y_tests)\n",
    "\n",
    "        clf = GradientBoostingClassifier(random_state=j)\n",
    "        j += 1\n",
    "        clf.fit(X_train, y_train)\n",
    "\n",
    "        score = clf.score(X_test, y_test)\n",
    "        rstar = score * N\n",
    "        rstars.append(rstar)\n",
    "    return rstars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def rstar_histgradienboost(df, n=100):\n",
    "    rstars = []\n",
    "    N = len(set(df.chain))\n",
    "    j = 0\n",
    "    for i in range(n):\n",
    "        X_trains = []\n",
    "        y_trains = []\n",
    "        X_tests = []\n",
    "        y_tests = []\n",
    "        for chain, subdf in df.groupby(\"chain\"):\n",
    "            X = subdf.iloc[:, 2:].values\n",
    "            y = subdf.iloc[:, 0].values\n",
    "            X_train, X_test, y_train, y_test = train_test_split(X, y, random_state=j, test_size=0.3)\n",
    "            j += 1\n",
    "            X_trains.append(X_train)\n",
    "            y_trains.append(y_train)\n",
    "            X_tests.append(X_test)\n",
    "            y_tests.append(y_test)\n",
    "\n",
    "        X_train = np.concatenate(X_trains)\n",
    "        y_train = np.concatenate(y_trains)\n",
    "        X_test = np.concatenate(X_tests)\n",
    "        y_test = np.concatenate(y_tests)\n",
    "\n",
    "        clf = HistGradientBoostingClassifier(random_state=j)\n",
    "        j += 1\n",
    "        clf.fit(X_train, y_train)\n",
    "\n",
    "        score = clf.score(X_test, y_test)\n",
    "        rstar = score * N\n",
    "        rstars.append(rstar)\n",
    "    return rstars"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 8min 40s\n"
     ]
    }
   ],
   "source": [
    "%time rstar_hgbm = rstar_histgradienboost(df, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.2333333333333334,\n",
       " 1.28,\n",
       " 1.34,\n",
       " 1.2933333333333332,\n",
       " 1.22,\n",
       " 1.3066666666666666,\n",
       " 1.3533333333333333,\n",
       " 1.3666666666666667,\n",
       " 1.2333333333333334,\n",
       " 1.2733333333333334,\n",
       " 1.2933333333333332,\n",
       " 1.22,\n",
       " 1.26,\n",
       " 1.2866666666666666,\n",
       " 1.24,\n",
       " 1.2533333333333334,\n",
       " 1.2733333333333334,\n",
       " 1.2066666666666668,\n",
       " 1.24,\n",
       " 1.2466666666666666,\n",
       " 1.1733333333333333,\n",
       " 1.26,\n",
       " 1.1866666666666668,\n",
       " 1.24,\n",
       " 1.2,\n",
       " 1.22,\n",
       " 1.32,\n",
       " 1.34,\n",
       " 1.2333333333333334,\n",
       " 1.26,\n",
       " 1.3466666666666667,\n",
       " 1.2466666666666666,\n",
       " 1.38,\n",
       " 1.26,\n",
       " 1.3,\n",
       " 1.2,\n",
       " 1.2333333333333334,\n",
       " 1.2333333333333334,\n",
       " 1.1133333333333333,\n",
       " 1.1533333333333333,\n",
       " 1.3733333333333333,\n",
       " 1.32,\n",
       " 1.28,\n",
       " 1.2333333333333334,\n",
       " 1.2733333333333334,\n",
       " 1.2,\n",
       " 1.2533333333333334,\n",
       " 1.4466666666666668,\n",
       " 1.12,\n",
       " 1.3266666666666667,\n",
       " 1.3,\n",
       " 1.34,\n",
       " 1.1666666666666667,\n",
       " 1.2733333333333334,\n",
       " 1.1333333333333333,\n",
       " 1.2533333333333334,\n",
       " 1.24,\n",
       " 1.32,\n",
       " 1.3,\n",
       " 1.2266666666666666,\n",
       " 1.34,\n",
       " 1.2333333333333334,\n",
       " 1.2666666666666666,\n",
       " 1.2866666666666666,\n",
       " 1.2666666666666666,\n",
       " 1.2133333333333334,\n",
       " 1.3133333333333332,\n",
       " 1.32,\n",
       " 1.34,\n",
       " 1.1466666666666667,\n",
       " 1.2,\n",
       " 1.0933333333333333,\n",
       " 1.32,\n",
       " 1.28,\n",
       " 1.3333333333333333,\n",
       " 1.1933333333333334,\n",
       " 1.2933333333333332,\n",
       " 1.22,\n",
       " 1.3133333333333332,\n",
       " 1.2466666666666666,\n",
       " 1.3066666666666666,\n",
       " 1.36,\n",
       " 1.2933333333333332,\n",
       " 1.26,\n",
       " 1.24,\n",
       " 1.3266666666666667,\n",
       " 1.2666666666666666,\n",
       " 1.1933333333333334,\n",
       " 1.3,\n",
       " 1.2733333333333334,\n",
       " 1.1466666666666667,\n",
       " 1.34,\n",
       " 1.2533333333333334,\n",
       " 1.38,\n",
       " 1.18,\n",
       " 1.1733333333333333,\n",
       " 1.24,\n",
       " 1.2533333333333334,\n",
       " 1.2266666666666666,\n",
       " 1.36]"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rstar_hgbm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Wall time: 6min 3s\n"
     ]
    }
   ],
   "source": [
    "%time rstar_gbm = rstar_gradienboost(df, 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "[1.3266666666666667,\n",
       " 1.2066666666666668,\n",
       " 1.2133333333333334,\n",
       " 1.2133333333333334,\n",
       " 1.2266666666666666,\n",
       " 1.1533333333333333,\n",
       " 1.2333333333333334,\n",
       " 1.2266666666666666,\n",
       " 1.2,\n",
       " 1.2733333333333334,\n",
       " 1.1933333333333334,\n",
       " 1.2,\n",
       " 1.1933333333333334,\n",
       " 1.2066666666666668,\n",
       " 1.1866666666666668,\n",
       " 1.3,\n",
       " 1.2466666666666666,\n",
       " 1.14,\n",
       " 1.26,\n",
       " 1.22,\n",
       " 1.1533333333333333,\n",
       " 1.1733333333333333,\n",
       " 1.1666666666666667,\n",
       " 1.2733333333333334,\n",
       " 1.0866666666666667,\n",
       " 1.2666666666666666,\n",
       " 1.26,\n",
       " 1.22,\n",
       " 1.1466666666666667,\n",
       " 1.1733333333333333,\n",
       " 1.1266666666666667,\n",
       " 1.1666666666666667,\n",
       " 1.1533333333333333,\n",
       " 1.26,\n",
       " 1.28,\n",
       " 1.2,\n",
       " 1.1933333333333334,\n",
       " 1.2466666666666666,\n",
       " 1.1466666666666667,\n",
       " 1.06,\n",
       " 1.0666666666666667,\n",
       " 1.28,\n",
       " 1.2133333333333334,\n",
       " 1.3066666666666666,\n",
       " 1.1333333333333333,\n",
       " 1.3066666666666666,\n",
       " 1.18,\n",
       " 1.3,\n",
       " 1.2933333333333332,\n",
       " 1.2466666666666666,\n",
       " 1.1866666666666668,\n",
       " 1.2733333333333334,\n",
       " 1.0866666666666667,\n",
       " 1.1733333333333333,\n",
       " 1.0066666666666666,\n",
       " 1.2533333333333334,\n",
       " 1.32,\n",
       " 1.1333333333333333,\n",
       " 1.2066666666666668,\n",
       " 1.3333333333333333,\n",
       " 1.1733333333333333,\n",
       " 1.1733333333333333,\n",
       " 1.24,\n",
       " 1.1133333333333333,\n",
       " 1.1866666666666668,\n",
       " 1.1733333333333333,\n",
       " 1.1066666666666667,\n",
       " 1.2266666666666666,\n",
       " 1.1333333333333333,\n",
       " 1.0733333333333333,\n",
       " 1.1466666666666667,\n",
       " 1.1066666666666667,\n",
       " 1.24,\n",
       " 1.18,\n",
       " 1.2,\n",
       " 1.12,\n",
       " 1.1666666666666667,\n",
       " 1.2066666666666668,\n",
       " 1.1266666666666667,\n",
       " 1.08,\n",
       " 1.2466666666666666,\n",
       " 1.18,\n",
       " 1.1866666666666668,\n",
       " 1.2133333333333334,\n",
       " 1.1666666666666667,\n",
       " 1.2133333333333334,\n",
       " 1.1266666666666667,\n",
       " 1.0066666666666666,\n",
       " 1.2466666666666666,\n",
       " 1.3133333333333332,\n",
       " 1.14,\n",
       " 1.2266666666666666,\n",
       " 1.3266666666666667,\n",
       " 1.2466666666666666,\n",
       " 1.1666666666666667,\n",
       " 1.24,\n",
       " 1.32,\n",
       " 1.1866666666666668,\n",
       " 1.26,\n",
       " 1.2266666666666666]"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rstar_gbm"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x224434d5a58>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = az.plot_kde(np.array(rstar_hgbm))\n",
    "az.plot_kde(np.array(rstar_gbm), ax=ax, plot_kwargs={\"color\" : \"orange\"})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "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": "3.7.3"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}