Lecture_13_2023.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "557a01a1",
   "metadata": {},
   "outputs": [],
   "source": [
    "import scipy.stats as stats\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import pymc as pm\n",
    "import arviz as az\n",
    "import pandas as pd\n",
    "import xarray as xr\n",
    "from sklearn.preprocessing import scale\n",
    "import scipy\n",
    "from scipy.special import expit\n",
    "import pytensor.tensor as pt"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "4fcb463f",
   "metadata": {},
   "source": [
    "## Multilevel Adventures \n",
    "\n",
    "**Clusters**: Kinds of groups in the data\n",
    "\n",
    "**Features**: Aspects of the model (parameters) that vary by cluster \n",
    "\n",
    "        Cluster -> Features\n",
    "          tanks -> survival\n",
    "        stories -> treatment effect\n",
    "    individuals -> average response\n",
    "    departments -> admission rate, bias\n",
    "    \n",
    "**Add clusters**: More index variables, more population priors\n",
    "\n",
    "**Add features**: More parameters, more dimensions in each population prior"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "b42ab9c2",
   "metadata": {},
   "source": [
    "## Varying effectss as confounds\n",
    "\n",
    "**Varying effect strategy**: Unmeasured features of clusters leave an imprint on the data that can be measured by 1) repeat observations of each cluster and 2) partial pooling \n",
    "\n",
    "**Predictive Perspective**: Important source of cluster-level variation, regularize\n",
    "\n",
    "**Causal Perspective**: Competing causes or unobserved confounds\n",
    "\n",
    "e.g. Grandparents influence on nparents and children, Neighborhood haunting. \n",
    "\n",
    "Trolley responses, Individuals add a lot of individuality and also effect Participation. \n",
    "\n",
    "Advantage over \"fixed effect\" approach: Can include other cluster level (time invariant) causes\n",
    "\n",
    "**Fixed effects**: Varying effects with variance fixed at infinity, no pooling\n",
    "\n",
    "Don't panic: Make a generative model and draw the owl\n"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "dd0db960",
   "metadata": {},
   "source": [
    "## Practical Difficulties\n",
    "\n",
    "Varying effects are a good default, but ....\n",
    "\n",
    "1) How to use more than one cluster type at theh same time?\n",
    "\n",
    "2) How to calculate predictions? Are you making predictions for whole new clusters? Or new elements inside of previously experienced clusters? \n",
    "\n",
    "3) How to sample chains efficiently\n",
    "\n",
    "4) Group-level confounding"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d87242a9",
   "metadata": {},
   "source": [
    "## Fertility & behavior\n",
    "\n",
    "1989 Bangladesh Fertility Survey\n",
    "\n",
    "data(bangladesh)\n",
    "\n",
    "1934 women, 61 districts\n",
    "\n",
    "Outcome: contraceptive use\n",
    "\n",
    "age,living children, urban/rural\n",
    "\n",
    "Descriptively: Need to understand what is happening\n",
    "\n",
    "Causally: Want to understand why"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "c30d2ccd",
   "metadata": {},
   "source": [
    "## Varying districts\n",
    "\n",
    "Estimand: C in each district, partially pooled\n",
    "\n",
    "Varying intercept on each district\n",
    "\n",
    "Another chance to understand partial pooling "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "53535243",
   "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>woman</th>\n",
       "      <th>district</th>\n",
       "      <th>use.contraception</th>\n",
       "      <th>living.children</th>\n",
       "      <th>age.centered</th>\n",
       "      <th>urban</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>18.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>-5.5599</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>8.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>-13.5590</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   woman  district  use.contraception  living.children  age.centered  urban\n",
       "0      1         1                  0                4       18.4400      1\n",
       "1      2         1                  0                1       -5.5599      1\n",
       "2      3         1                  0                3        1.4400      1\n",
       "3      4         1                  0                4        8.4400      1\n",
       "4      5         1                  0                1      -13.5590      1"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bang = pd.read_csv('Data/bangladesh.csv',sep=';')\n",
    "bang.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "df3b8b72",
   "metadata": {},
   "source": [
    "C ~ Bernoulli(p) Bernoulli because 0/1 outcome\n",
    "\n",
    "logit(p) = aD[i] log-odds of C=1 in each district D\n",
    "\n",
    "aj ~ Normal(abar,sigma) Regularizing prior for districts\n",
    "\n",
    "abar ~ Normal(0,1) Average district\n",
    "\n",
    "sigma ~ Exponential(1) Standard deviation among districts "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "id": "d8e5aa34",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(bang['district'].values).shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "id": "d476dd64",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.ptp(bang['district'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "id": "49fd684f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "60"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(bang['district'].values -1).shape[0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "id": "5fff2b10",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "61"
      ]
     },
     "execution_count": 30,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.unique(bang['district'].values)[59]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "id": "4ffeaa44",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sigma, abar, a]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
       "        background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [8000/8000 00:12&lt;00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 24 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as bangvi_m: #Simply varying intercepts model\n",
    "    \n",
    "    C = pm.MutableData('C',bang['use.contraception'].values)\n",
    "    D = pm.MutableData('D',bang['district'].values -1)\n",
    "    \n",
    "    sigma = pm.Exponential('sigma',1)\n",
    "    abar  = pm.Normal('abar',0,1)\n",
    "    a    = pm.Normal('a',abar,sigma,shape = 61) #61 districts, not all in sample\n",
    "    \n",
    "    Cobs = pm.Bernoulli('Cobs',logit_p = a[D],observed = C)\n",
    "    \n",
    "    bangvi_trace = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "id": "7b8064cf",
   "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>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>abar</th>\n",
       "      <td>-0.536</td>\n",
       "      <td>0.087</td>\n",
       "      <td>-0.695</td>\n",
       "      <td>-0.369</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.001</td>\n",
       "      <td>2735.0</td>\n",
       "      <td>2964.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[0]</th>\n",
       "      <td>-0.991</td>\n",
       "      <td>0.197</td>\n",
       "      <td>-1.347</td>\n",
       "      <td>-0.603</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.002</td>\n",
       "      <td>5246.0</td>\n",
       "      <td>2446.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[1]</th>\n",
       "      <td>-0.591</td>\n",
       "      <td>0.352</td>\n",
       "      <td>-1.237</td>\n",
       "      <td>0.073</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.004</td>\n",
       "      <td>4956.0</td>\n",
       "      <td>3083.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[2]</th>\n",
       "      <td>-0.221</td>\n",
       "      <td>0.497</td>\n",
       "      <td>-1.140</td>\n",
       "      <td>0.742</td>\n",
       "      <td>0.008</td>\n",
       "      <td>0.007</td>\n",
       "      <td>4101.0</td>\n",
       "      <td>2540.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[3]</th>\n",
       "      <td>-0.183</td>\n",
       "      <td>0.304</td>\n",
       "      <td>-0.737</td>\n",
       "      <td>0.379</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.004</td>\n",
       "      <td>4116.0</td>\n",
       "      <td>3121.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>...</th>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "      <td>...</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[57]</th>\n",
       "      <td>-0.299</td>\n",
       "      <td>0.298</td>\n",
       "      <td>-0.855</td>\n",
       "      <td>0.271</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.003</td>\n",
       "      <td>6017.0</td>\n",
       "      <td>3241.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[58]</th>\n",
       "      <td>-1.010</td>\n",
       "      <td>0.435</td>\n",
       "      <td>-1.800</td>\n",
       "      <td>-0.156</td>\n",
       "      <td>0.007</td>\n",
       "      <td>0.005</td>\n",
       "      <td>4100.0</td>\n",
       "      <td>2570.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[59]</th>\n",
       "      <td>-0.993</td>\n",
       "      <td>0.320</td>\n",
       "      <td>-1.594</td>\n",
       "      <td>-0.404</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.004</td>\n",
       "      <td>4766.0</td>\n",
       "      <td>3307.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a[60]</th>\n",
       "      <td>-1.056</td>\n",
       "      <td>0.309</td>\n",
       "      <td>-1.620</td>\n",
       "      <td>-0.450</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.004</td>\n",
       "      <td>3909.0</td>\n",
       "      <td>2526.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>0.518</td>\n",
       "      <td>0.082</td>\n",
       "      <td>0.375</td>\n",
       "      <td>0.681</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.002</td>\n",
       "      <td>1194.0</td>\n",
       "      <td>1917.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "<p>63 rows × 9 columns</p>\n",
       "</div>"
      ],
      "text/plain": [
       "        mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  \\\n",
       "abar  -0.536  0.087  -0.695   -0.369      0.002    0.001    2735.0    2964.0   \n",
       "a[0]  -0.991  0.197  -1.347   -0.603      0.003    0.002    5246.0    2446.0   \n",
       "a[1]  -0.591  0.352  -1.237    0.073      0.005    0.004    4956.0    3083.0   \n",
       "a[2]  -0.221  0.497  -1.140    0.742      0.008    0.007    4101.0    2540.0   \n",
       "a[3]  -0.183  0.304  -0.737    0.379      0.005    0.004    4116.0    3121.0   \n",
       "...      ...    ...     ...      ...        ...      ...       ...       ...   \n",
       "a[57] -0.299  0.298  -0.855    0.271      0.004    0.003    6017.0    3241.0   \n",
       "a[58] -1.010  0.435  -1.800   -0.156      0.007    0.005    4100.0    2570.0   \n",
       "a[59] -0.993  0.320  -1.594   -0.404      0.005    0.004    4766.0    3307.0   \n",
       "a[60] -1.056  0.309  -1.620   -0.450      0.005    0.004    3909.0    2526.0   \n",
       "sigma  0.518  0.082   0.375    0.681      0.002    0.002    1194.0    1917.0   \n",
       "\n",
       "       r_hat  \n",
       "abar     1.0  \n",
       "a[0]     1.0  \n",
       "a[1]     1.0  \n",
       "a[2]     1.0  \n",
       "a[3]     1.0  \n",
       "...      ...  \n",
       "a[57]    1.0  \n",
       "a[58]    1.0  \n",
       "a[59]    1.0  \n",
       "a[60]    1.0  \n",
       "sigma    1.0  \n",
       "\n",
       "[63 rows x 9 columns]"
      ]
     },
     "execution_count": 46,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(bangvi_trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "id": "e38f8c70",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<AxesSubplot: >"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bang['district'].hist(bins=61)\n",
    "\n",
    "#Much more evidence for some districts "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "id": "8d739973",
   "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>woman</th>\n",
       "      <th>district</th>\n",
       "      <th>use.contraception</th>\n",
       "      <th>living.children</th>\n",
       "      <th>age.centered</th>\n",
       "      <th>urban</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>18.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>-5.5599</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>3</td>\n",
       "      <td>1.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>4</td>\n",
       "      <td>8.4400</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>5</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>-13.5590</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   woman  district  use.contraception  living.children  age.centered  urban\n",
       "0      1         1                  0                4       18.4400      1\n",
       "1      2         1                  0                1       -5.5599      1\n",
       "2      3         1                  0                3        1.4400      1\n",
       "3      4         1                  0                4        8.4400      1\n",
       "4      5         1                  0                1      -13.5590      1"
      ]
     },
     "execution_count": 49,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bang.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 80,
   "id": "977f013f",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x2411d66d450>"
      ]
     },
     "execution_count": 80,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.scatter(x=bangvi_trace.posterior.a_dim_0 + 1 ,\n",
    "            y= expit(bangvi_trace.posterior.a.mean(('chain','draw'))),\n",
    "            c='r',label='Posterior means'\n",
    "           )\n",
    "plt.errorbar(x=bangvi_trace.posterior.a_dim_0 + 1 ,\n",
    "             y= expit(bangvi_trace.posterior.a.mean(('chain','draw'))),\n",
    "             yerr=np.swapaxes(expit(az.hdi(bangvi_trace.posterior.a)).a,0,1), \n",
    "             alpha=0.4,\n",
    "             fmt='none',\n",
    "             label='HDI'\n",
    "            )\n",
    "\n",
    "plt.scatter(x=bang['district'].unique(), \n",
    "            y = bang.groupby('district')['use.contraception'].mean(),\n",
    "            label='Data means')\n",
    "plt.title('Proportions')\n",
    "\n",
    "\n",
    "plt.xlabel('District')\n",
    "plt.ylabel('Proportion')\n",
    "plt.legend()\n",
    "\n",
    "#Districts with less data get pooled more! \n",
    "#1 district has no observations, but the model makes an estimate nonetheless"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "846674ac",
   "metadata": {},
   "source": [
    "## Varying Districts\n",
    "\n",
    "Partial pooling shrinks districts with low sampling towards mean\n",
    "\n",
    "Better predictions\n",
    "\n",
    "No inference yet \n",
    "\n",
    "We don't want/expect the model to recapitulate the sample, there are features of the sample that are not regular and we are trying to regularize"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "90d97c51",
   "metadata": {},
   "source": [
    "## Varying districts + urban\n",
    "\n",
    "What is the effect of urban living?\n",
    "\n",
    "District features are potential group-level confounds\n",
    "\n",
    "Total effect of U passes through K\n",
    "\n",
    "Do not stratify by K!"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "1fb14160",
   "metadata": {},
   "source": [
    "C ~ Bernoulli(p) Bernoulli because 0/1 outcome\n",
    "\n",
    "logit(p) = aD[i] +BdiUi log-odds of C=1 in each district D, Ui is urban indicator\n",
    "\n",
    "aj ~ Normal(abar,sigma) Regularizing prior for rural\n",
    "\n",
    "bj ~ Normal(bbar,tau) effect of urban living, varies by district\n",
    "\n",
    "abar ~ Normal(0,1) Average district\n",
    "\n",
    "bbar ~ Normal(0,1)\n",
    "\n",
    "sigma ~ Exponential(1) Standard deviation among districts \n",
    "\n",
    "tau ~ Exponential(1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 82,
   "id": "8c9aca8a",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sigma, tau, abar, bbar, a, b]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
       "        background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [8000/8000 00:29&lt;00:00 Sampling 4 chains, 30 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 42 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as bangu_m: #Simply varying intercepts model\n",
    "    \n",
    "    C = pm.MutableData('C',bang['use.contraception'].values)\n",
    "    D = pm.MutableData('D',bang['district'].values -1)\n",
    "    U = pm.MutableData('U',bang['urban'])\n",
    "    \n",
    "    sigma = pm.Exponential('sigma',1)\n",
    "    tau   = pm.Exponential('tau',1)\n",
    "    \n",
    "    abar  = pm.Normal('abar',0,1)\n",
    "    bbar  = pm.Normal('bbar',0,1)\n",
    "    \n",
    "    a     = pm.Normal('a',abar,sigma,shape = 61) #61 districts, not all in sample\n",
    "    b     = pm.Normal('b',bbar,tau,shape = 61)\n",
    "    \n",
    "    logit_p = a[D] +b[D]*U\n",
    "    Cobs = pm.Bernoulli('Cobs',logit_p = logit_p,observed = C)\n",
    "    \n",
    "    bangu_trace = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 83,
   "id": "5031a915",
   "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>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>bbar</th>\n",
       "      <td>0.611</td>\n",
       "      <td>0.160</td>\n",
       "      <td>0.308</td>\n",
       "      <td>0.916</td>\n",
       "      <td>0.005</td>\n",
       "      <td>0.003</td>\n",
       "      <td>1084.0</td>\n",
       "      <td>1031.0</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>abar</th>\n",
       "      <td>-0.695</td>\n",
       "      <td>0.092</td>\n",
       "      <td>-0.861</td>\n",
       "      <td>-0.519</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.002</td>\n",
       "      <td>828.0</td>\n",
       "      <td>792.0</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tau</th>\n",
       "      <td>0.569</td>\n",
       "      <td>0.191</td>\n",
       "      <td>0.166</td>\n",
       "      <td>0.885</td>\n",
       "      <td>0.017</td>\n",
       "      <td>0.012</td>\n",
       "      <td>120.0</td>\n",
       "      <td>72.0</td>\n",
       "      <td>1.03</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>0.484</td>\n",
       "      <td>0.090</td>\n",
       "      <td>0.316</td>\n",
       "      <td>0.651</td>\n",
       "      <td>0.004</td>\n",
       "      <td>0.003</td>\n",
       "      <td>452.0</td>\n",
       "      <td>1087.0</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  \\\n",
       "bbar   0.611  0.160   0.308    0.916      0.005    0.003    1084.0    1031.0   \n",
       "abar  -0.695  0.092  -0.861   -0.519      0.003    0.002     828.0     792.0   \n",
       "tau    0.569  0.191   0.166    0.885      0.017    0.012     120.0      72.0   \n",
       "sigma  0.484  0.090   0.316    0.651      0.004    0.003     452.0    1087.0   \n",
       "\n",
       "       r_hat  \n",
       "bbar    1.00  \n",
       "abar    1.01  \n",
       "tau     1.03  \n",
       "sigma   1.01  "
      ]
     },
     "execution_count": 83,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(bangu_trace,var_names=['bbar','abar','tau','sigma'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "92225d31",
   "metadata": {},
   "source": [
    "## More priors, more problems\n",
    "\n",
    "Priors inside of priors: **\"centered\"** \n",
    "\n",
    "Challenging to sample for HMC \n",
    "\n",
    "Can rexpress WITHOUT centering\n",
    "\n",
    "z = (a-abar)/sigma\n",
    "\n",
    "a = abar+z*sigma \n",
    "\n",
    "z[a,j] ~ Normal(0,1)"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "2b7b4a2c",
   "metadata": {},
   "source": [
    "## Non-centered varying intercepts\n",
    "\n",
    "C ~ Bernoulli(p) Bernoulli because 0/1 outcome\n",
    "\n",
    "logit(p) = aD[i] +BdiUi log-odds of C=1 in each district D, Ui is urban indicator\n",
    "\n",
    "aj = abar +z[a,j] * sigma Noncentering a\n",
    "\n",
    "bj = bbar +z[b,j] * tau noncentering b\n",
    "\n",
    "z[a,j] ~ Normal(0,1)\n",
    "Z[b,j] ~ Normal(0,1)\n",
    "abar ~ Normal(0,1) Average district\n",
    "\n",
    "bbar ~ Normal(0,1)\n",
    "\n",
    "sigma ~ Exponential(1) Standard deviation among districts \n",
    "\n",
    "tau ~ Exponential(1)\n",
    "\n",
    "### Mathematically equivalent to previous, but more efficient! ##"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 91,
   "id": "f4aa87b6",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "Multiprocess sampling (4 chains in 4 jobs)\n",
      "NUTS: [sigma, tau, abar, bbar, za, zb]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
       "        background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='8000' class='' max='8000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [8000/8000 00:23&lt;00:00 Sampling 4 chains, 0 divergences]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling 4 chains for 1_000 tune and 1_000 draw iterations (4_000 + 4_000 draws total) took 36 seconds.\n"
     ]
    }
   ],
   "source": [
    "with pm.Model() as bangunc_m: #Non centered varying intercepts model\n",
    "    \n",
    "    C = pm.MutableData('C',bang['use.contraception'].values)\n",
    "    D = pm.MutableData('D',bang['district'].values -1)\n",
    "    U = pm.MutableData('U',bang['urban'])\n",
    "    #Hyper-priors\n",
    "    sigma = pm.Exponential('sigma',1)\n",
    "    tau   = pm.Exponential('tau',1)\n",
    "    abar  = pm.Normal('abar',0,1)\n",
    "    bbar  = pm.Normal('bbar',0,1)\n",
    "    #Z-scored effects\n",
    "    za    = pm.Normal('za',0,1,shape=61)\n",
    "    zb    = pm.Normal('zb',0,1,shape=61)\n",
    "    \n",
    "    a     = abar +za*sigma \n",
    "    b     = bbar +zb*tau\n",
    "    \n",
    "    logit_p = a[D] +b[D]*U\n",
    "    Cobs = pm.Bernoulli('Cobs',logit_p = logit_p,observed = C)\n",
    "    \n",
    "    bangunc_trace = pm.sample()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 86,
   "id": "8746375b",
   "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>mean</th>\n",
       "      <th>sd</th>\n",
       "      <th>hdi_3%</th>\n",
       "      <th>hdi_97%</th>\n",
       "      <th>mcse_mean</th>\n",
       "      <th>mcse_sd</th>\n",
       "      <th>ess_bulk</th>\n",
       "      <th>ess_tail</th>\n",
       "      <th>r_hat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>bbar</th>\n",
       "      <td>0.615</td>\n",
       "      <td>0.153</td>\n",
       "      <td>0.329</td>\n",
       "      <td>0.908</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.002</td>\n",
       "      <td>4175.0</td>\n",
       "      <td>2794.0</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>abar</th>\n",
       "      <td>-0.698</td>\n",
       "      <td>0.091</td>\n",
       "      <td>-0.882</td>\n",
       "      <td>-0.535</td>\n",
       "      <td>0.002</td>\n",
       "      <td>0.001</td>\n",
       "      <td>3019.0</td>\n",
       "      <td>2799.0</td>\n",
       "      <td>1.00</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>tau</th>\n",
       "      <td>0.541</td>\n",
       "      <td>0.221</td>\n",
       "      <td>0.104</td>\n",
       "      <td>0.948</td>\n",
       "      <td>0.008</td>\n",
       "      <td>0.006</td>\n",
       "      <td>713.0</td>\n",
       "      <td>865.0</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>sigma</th>\n",
       "      <td>0.484</td>\n",
       "      <td>0.089</td>\n",
       "      <td>0.327</td>\n",
       "      <td>0.658</td>\n",
       "      <td>0.003</td>\n",
       "      <td>0.002</td>\n",
       "      <td>1270.0</td>\n",
       "      <td>2245.0</td>\n",
       "      <td>1.01</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        mean     sd  hdi_3%  hdi_97%  mcse_mean  mcse_sd  ess_bulk  ess_tail  \\\n",
       "bbar   0.615  0.153   0.329    0.908      0.002    0.002    4175.0    2794.0   \n",
       "abar  -0.698  0.091  -0.882   -0.535      0.002    0.001    3019.0    2799.0   \n",
       "tau    0.541  0.221   0.104    0.948      0.008    0.006     713.0     865.0   \n",
       "sigma  0.484  0.089   0.327    0.658      0.003    0.002    1270.0    2245.0   \n",
       "\n",
       "       r_hat  \n",
       "bbar    1.00  \n",
       "abar    1.00  \n",
       "tau     1.01  \n",
       "sigma   1.01  "
      ]
     },
     "execution_count": 86,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.summary(bangunc_trace,var_names=['bbar','abar','tau','sigma'])"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "951a1cfb",
   "metadata": {},
   "source": [
    "Had to deal with the difficulty of the markov-chain. \n",
    "\n",
    "As you cut up a dataset by stratifying by predictors, you will get smaller and smaller sample sizes in each unit. Partial pooling becomes increasingly valuable as the shrinkage guards against overfitting\n",
    "\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 87,
   "id": "16ad6a77",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div><svg style=\"position: absolute; width: 0; height: 0; overflow: hidden\">\n",
       "<defs>\n",
       "<symbol id=\"icon-database\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M16 0c-8.837 0-16 2.239-16 5v4c0 2.761 7.163 5 16 5s16-2.239 16-5v-4c0-2.761-7.163-5-16-5z\"></path>\n",
       "<path d=\"M16 17c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "<path d=\"M16 26c-8.837 0-16-2.239-16-5v6c0 2.761 7.163 5 16 5s16-2.239 16-5v-6c0 2.761-7.163 5-16 5z\"></path>\n",
       "</symbol>\n",
       "<symbol id=\"icon-file-text2\" viewBox=\"0 0 32 32\">\n",
       "<path d=\"M28.681 7.159c-0.694-0.947-1.662-2.053-2.724-3.116s-2.169-2.030-3.116-2.724c-1.612-1.182-2.393-1.319-2.841-1.319h-15.5c-1.378 0-2.5 1.121-2.5 2.5v27c0 1.378 1.122 2.5 2.5 2.5h23c1.378 0 2.5-1.122 2.5-2.5v-19.5c0-0.448-0.137-1.23-1.319-2.841zM24.543 5.457c0.959 0.959 1.712 1.825 2.268 2.543h-4.811v-4.811c0.718 0.556 1.584 1.309 2.543 2.268zM28 29.5c0 0.271-0.229 0.5-0.5 0.5h-23c-0.271 0-0.5-0.229-0.5-0.5v-27c0-0.271 0.229-0.5 0.5-0.5 0 0 15.499-0 15.5 0v7c0 0.552 0.448 1 1 1h7v19.5z\"></path>\n",
       "<path d=\"M23 26h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 22h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "<path d=\"M23 18h-14c-0.552 0-1-0.448-1-1s0.448-1 1-1h14c0.552 0 1 0.448 1 1s-0.448 1-1 1z\"></path>\n",
       "</symbol>\n",
       "</defs>\n",
       "</svg>\n",
       "<style>/* CSS stylesheet for displaying xarray objects in jupyterlab.\n",
       " *\n",
       " */\n",
       "\n",
       ":root {\n",
       "  --xr-font-color0: var(--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[data-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 !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 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-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  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",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:   (chain: 4, draw: 1000, za_dim_0: 61, zb_dim_0: 61)\n",
       "Coordinates:\n",
       "  * chain     (chain) int32 0 1 2 3\n",
       "  * draw      (draw) int32 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n",
       "  * za_dim_0  (za_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "  * zb_dim_0  (zb_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "Data variables:\n",
       "    abar      (chain, draw) float64 -0.5625 -0.7571 -0.9825 ... -0.6189 -0.7241\n",
       "    bbar      (chain, draw) float64 0.4432 0.661 0.597 ... 0.5716 0.5804 0.5551\n",
       "    za        (chain, draw, za_dim_0) float64 -1.393 -0.1688 ... -1.073 -0.8145\n",
       "    zb        (chain, draw, zb_dim_0) float64 0.6061 -0.2163 ... 0.5273 -0.06029\n",
       "    sigma     (chain, draw) float64 0.5234 0.4579 0.4542 ... 0.4424 0.4134\n",
       "    tau       (chain, draw) float64 0.4551 0.6833 0.5922 ... 0.495 0.2583 0.357\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T16:55:29.583922\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1\n",
       "    sampling_time:              36.80247354507446\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><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-fa5a8b44-d707-4ca9-ad0e-8777d86ff28a' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-fa5a8b44-d707-4ca9-ad0e-8777d86ff28a' 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>: 1000</li><li><span class='xr-has-index'>za_dim_0</span>: 61</li><li><span class='xr-has-index'>zb_dim_0</span>: 61</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-9b36ad1f-8d92-48f1-88d0-9f3636c7ce0d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-9b36ad1f-8d92-48f1-88d0-9f3636c7ce0d' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-50d10a3b-1718-4d12-adff-26e08d335a98' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-50d10a3b-1718-4d12-adff-26e08d335a98' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a8efb573-0a4f-403a-9214-c2641567fd63' class='xr-var-data-in' type='checkbox'><label for='data-a8efb573-0a4f-403a-9214-c2641567fd63' 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])</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'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 995 996 997 998 999</div><input id='attrs-e8b352d6-0efa-433f-8347-73893d4d5cea' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e8b352d6-0efa-433f-8347-73893d4d5cea' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-523d337c-6239-43a6-86b8-96584124502d' class='xr-var-data-in' type='checkbox'><label for='data-523d337c-6239-43a6-86b8-96584124502d' 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, ..., 997, 998, 999])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>za_dim_0</span></div><div class='xr-var-dims'>(za_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 ... 55 56 57 58 59 60</div><input id='attrs-d400887a-6c31-4e86-a1ad-fdc272363f1f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d400887a-6c31-4e86-a1ad-fdc272363f1f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-73634418-3c1f-4b18-8dba-fca8f19ca9c3' class='xr-var-data-in' type='checkbox'><label for='data-73634418-3c1f-4b18-8dba-fca8f19ca9c3' 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,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
       "       54, 55, 56, 57, 58, 59, 60])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>zb_dim_0</span></div><div class='xr-var-dims'>(zb_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 ... 55 56 57 58 59 60</div><input id='attrs-810ca8b9-2391-4828-849f-b1bf3f896418' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-810ca8b9-2391-4828-849f-b1bf3f896418' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-09ff4476-4d8d-442f-a8f2-91fdf979824b' class='xr-var-data-in' type='checkbox'><label for='data-09ff4476-4d8d-442f-a8f2-91fdf979824b' 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,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
       "       54, 55, 56, 57, 58, 59, 60])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-c08682bb-9de3-43ac-be35-e333adaa2bda' class='xr-section-summary-in' type='checkbox'  checked><label for='section-c08682bb-9de3-43ac-be35-e333adaa2bda' 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>abar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.5625 -0.7571 ... -0.6189 -0.7241</div><input id='attrs-df4b4e61-134a-4239-801d-63c5b7e2d1c8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-df4b4e61-134a-4239-801d-63c5b7e2d1c8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0169bcb7-0026-4df8-9d9f-e8de5a835ef4' class='xr-var-data-in' type='checkbox'><label for='data-0169bcb7-0026-4df8-9d9f-e8de5a835ef4' 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([[-0.56252347, -0.75710899, -0.9824517 , ..., -0.72864966,\n",
       "        -0.72434598, -0.80027579],\n",
       "       [-0.72659131, -0.61886734, -0.6617255 , ..., -0.70876236,\n",
       "        -0.67605446, -0.67802339],\n",
       "       [-0.73258443, -0.59811524, -0.58057068, ..., -0.75688574,\n",
       "        -0.62511812, -0.71039421],\n",
       "       [-0.61697714, -0.74032441, -0.66316152, ..., -0.76687699,\n",
       "        -0.61891124, -0.72410046]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>bbar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.4432 0.661 ... 0.5804 0.5551</div><input id='attrs-89893502-bf18-4fcf-8ad5-0ba65d8999e2' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-89893502-bf18-4fcf-8ad5-0ba65d8999e2' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-5c80260f-9872-4a62-ae6d-0f839c99fdd0' class='xr-var-data-in' type='checkbox'><label for='data-5c80260f-9872-4a62-ae6d-0f839c99fdd0' 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([[0.44320566, 0.66103991, 0.59698608, ..., 0.63622868, 0.68255284,\n",
       "        0.5851123 ],\n",
       "       [0.68428383, 0.48596875, 0.65580917, ..., 0.9616597 , 1.02448254,\n",
       "        1.01938303],\n",
       "       [0.62649133, 0.40585985, 0.56259279, ..., 0.96786931, 0.45037811,\n",
       "        0.640226  ],\n",
       "       [0.5480959 , 0.81669951, 0.65073064, ..., 0.57159287, 0.58041254,\n",
       "        0.55512342]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>za</span></div><div class='xr-var-dims'>(chain, draw, za_dim_0)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.393 -0.1688 ... -1.073 -0.8145</div><input id='attrs-c3623a23-7243-43cb-9d01-f605ba97ee19' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c3623a23-7243-43cb-9d01-f605ba97ee19' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-53a0fc98-2b0d-4045-bb71-6edcc00fc801' class='xr-var-data-in' type='checkbox'><label for='data-53a0fc98-2b0d-4045-bb71-6edcc00fc801' 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([[[-1.39312484e+00, -1.68756719e-01,  2.26553426e+00, ...,\n",
       "         -1.38353178e+00, -1.13933104e+00, -1.75879495e+00],\n",
       "        [-1.06627556e+00, -6.13062228e-01, -1.08863712e+00, ...,\n",
       "          6.39628973e-01, -9.56658335e-01, -2.92300484e-01],\n",
       "        [-2.05069506e+00, -3.37036725e-02,  6.64807642e-01, ...,\n",
       "         -7.41715432e-02, -8.56972244e-01, -1.31128937e+00],\n",
       "        ...,\n",
       "        [-8.17641851e-01, -1.55605663e-01,  1.72690209e+00, ...,\n",
       "         -4.44182087e-01, -1.13944125e+00, -3.52636590e-01],\n",
       "        [-2.00574791e+00, -2.19239140e-01, -9.98839438e-01, ...,\n",
       "         -2.34116484e+00, -2.83807458e+00, -1.39180171e+00],\n",
       "        [-1.01580867e+00,  7.70216477e-01,  2.42126432e+00, ...,\n",
       "          4.14659340e-01, -2.33149194e-01, -6.96650142e-01]],\n",
       "\n",
       "       [[-8.60042043e-01,  7.57742175e-01, -6.50848556e-02, ...,\n",
       "          1.40903885e-01, -2.06061263e+00, -6.46017069e-01],\n",
       "        [-1.26817939e+00, -5.68997282e-01,  7.22236893e-01, ...,\n",
       "         -1.72800620e+00, -4.20615751e-01, -1.62254474e+00],\n",
       "        [-1.04142372e+00,  3.93056463e-01,  3.16844886e-01, ...,\n",
       "         -1.94133269e-01, -1.51687416e+00, -6.10279644e-01],\n",
       "...\n",
       "        [-1.93023256e+00,  1.80840555e-02,  1.49813220e+00, ...,\n",
       "          1.61724168e-02, -8.47458064e-01,  5.32455740e-02],\n",
       "        [-1.43026250e+00,  1.28125644e-01,  2.52948704e-01, ...,\n",
       "         -1.84083150e+00, -3.10282900e-01, -1.43973894e+00],\n",
       "        [-2.61115989e+00, -5.93611412e-01,  1.13217196e+00, ...,\n",
       "         -3.90479464e-01, -1.33278269e+00,  8.49808676e-03]],\n",
       "\n",
       "       [[-2.53744005e+00, -1.13389754e-01,  2.50919897e-01, ...,\n",
       "         -6.32385420e-01, -1.15642944e+00, -1.31975712e+00],\n",
       "        [-1.05261134e+00,  1.16749235e-01,  4.89512281e-01, ...,\n",
       "         -8.59778945e-01, -3.92259021e-01, -4.07876944e-01],\n",
       "        [-2.15896327e+00, -5.47255772e-01, -4.86158956e-02, ...,\n",
       "         -1.58190528e+00, -1.65466681e+00,  5.95894794e-02],\n",
       "        ...,\n",
       "        [-2.13434334e+00,  7.25622495e-01, -1.44672442e-01, ...,\n",
       "         -2.78468737e-01, -6.17703878e-01, -5.40342351e-01],\n",
       "        [-1.06360801e+00, -6.83966695e-01,  2.86840762e-01, ...,\n",
       "         -1.11043907e+00, -1.36753508e+00, -8.77287581e-01],\n",
       "        [-2.20032895e+00, -3.99591528e-02,  4.43742773e-01, ...,\n",
       "         -1.98168604e-02, -1.07310074e+00, -8.14537100e-01]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>zb</span></div><div class='xr-var-dims'>(chain, draw, zb_dim_0)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.6061 -0.2163 ... 0.5273 -0.06029</div><input id='attrs-7672660a-1c4e-49cf-966e-e15d1ae4c311' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7672660a-1c4e-49cf-966e-e15d1ae4c311' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-00f4211a-54c1-42a9-b6bc-a401cb1cde1b' class='xr-var-data-in' type='checkbox'><label for='data-00f4211a-54c1-42a9-b6bc-a401cb1cde1b' 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([[[ 0.60612603, -0.21628503,  1.39801263, ...,  1.45826848,\n",
       "         -0.94456315, -0.12281352],\n",
       "        [-0.41338075, -0.04220574,  1.12513893, ...,  0.13098067,\n",
       "          0.60910146, -1.4558558 ],\n",
       "        [ 1.24740692,  0.5950928 ,  1.4395881 , ...,  0.61950583,\n",
       "         -1.29764474,  0.36195926],\n",
       "        ...,\n",
       "        [-0.72076005, -1.76323191,  0.27079524, ...,  0.71005085,\n",
       "         -1.16214672, -0.64634193],\n",
       "        [ 1.05476726,  0.18561992,  1.17792508, ...,  1.38867299,\n",
       "         -0.37516138, -0.91840271],\n",
       "        [ 0.28980071,  0.67991391,  1.72513217, ..., -0.93157188,\n",
       "         -0.46346255, -1.819707  ]],\n",
       "\n",
       "       [[-0.22075934, -1.30730156,  1.71822685, ...,  0.92590629,\n",
       "         -0.71807238, -0.89843274],\n",
       "        [ 0.41987829,  2.23366529, -0.62050025, ..., -0.96484507,\n",
       "          1.12579222,  1.05331493],\n",
       "        [ 0.05331032, -2.75265998,  0.92446947, ...,  0.99692498,\n",
       "         -1.67242236, -0.71351404],\n",
       "...\n",
       "        [-0.0809129 , -0.0569686 ,  0.40378584, ..., -0.23925924,\n",
       "          0.38904018, -1.08055211],\n",
       "        [-0.39091932, -0.18278589,  0.13481352, ...,  0.33316937,\n",
       "          0.75957671,  0.68592192],\n",
       "        [ 1.76558427, -0.41894099,  0.49647534, ..., -0.90963423,\n",
       "         -2.23148659, -2.69179533]],\n",
       "\n",
       "       [[ 1.0151398 , -0.68353687,  1.0740854 , ...,  0.16183535,\n",
       "          0.12333141,  0.48141795],\n",
       "        [ 0.10585931,  0.90473732, -0.01388376, ..., -1.19616745,\n",
       "         -0.71675267, -1.21116064],\n",
       "        [ 0.27463625, -0.04721758, -0.12380515, ..., -1.30439216,\n",
       "         -0.26552004,  0.73154925],\n",
       "        ...,\n",
       "        [ 0.66075371,  1.69424774,  1.33236753, ...,  0.48451473,\n",
       "         -1.13579318, -1.92628992],\n",
       "        [-0.60218183,  0.81175739, -1.3906234 , ..., -0.99956759,\n",
       "         -2.04951565,  0.39043492],\n",
       "        [ 1.20850879,  0.73232883,  0.22937527, ...,  0.02629106,\n",
       "          0.5272998 , -0.0602866 ]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>sigma</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.5234 0.4579 ... 0.4424 0.4134</div><input id='attrs-c9914579-7c31-4790-8f12-43541fb0e028' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c9914579-7c31-4790-8f12-43541fb0e028' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-006988bc-ff5c-4034-831e-7a67cb667100' class='xr-var-data-in' type='checkbox'><label for='data-006988bc-ff5c-4034-831e-7a67cb667100' 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([[0.52342067, 0.45794669, 0.45422592, ..., 0.54218163, 0.41059631,\n",
       "        0.48191466],\n",
       "       [0.4045118 , 0.5959292 , 0.55379131, ..., 0.53443533, 0.52459785,\n",
       "        0.57753601],\n",
       "       [0.47012283, 0.45369295, 0.61758193, ..., 0.37088853, 0.35637465,\n",
       "        0.43743194],\n",
       "       [0.38220068, 0.46055494, 0.54960524, ..., 0.44061316, 0.44241472,\n",
       "        0.41343664]])</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'>0.4551 0.6833 ... 0.2583 0.357</div><input id='attrs-37e111c3-da74-41a1-9d1d-3d25bce1d1f8' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-37e111c3-da74-41a1-9d1d-3d25bce1d1f8' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-3918ee7a-7a4a-475b-ba47-363cc100773d' class='xr-var-data-in' type='checkbox'><label for='data-3918ee7a-7a4a-475b-ba47-363cc100773d' 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([[0.45506648, 0.68328921, 0.59218251, ..., 0.3079598 , 0.34614382,\n",
       "        0.30045139],\n",
       "       [0.71753634, 0.50740873, 0.74593778, ..., 0.66237732, 0.78090924,\n",
       "        0.69584199],\n",
       "       [0.42235887, 0.6319054 , 0.57384234, ..., 0.72867023, 0.81978244,\n",
       "        0.34638302],\n",
       "       [0.69194365, 0.6810793 , 0.45819432, ..., 0.4950163 , 0.25832071,\n",
       "        0.35700469]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-8c40280e-3a3d-493a-9215-272c323180e2' class='xr-section-summary-in' type='checkbox'  ><label for='section-8c40280e-3a3d-493a-9215-272c323180e2' class='xr-section-summary' >Indexes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-9ec36cf5-59f4-4edb-8eb4-bcc50938bcad' class='xr-index-data-in' type='checkbox'/><label for='index-9ec36cf5-59f4-4edb-8eb4-bcc50938bcad' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([0, 1, 2, 3], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-b60b2874-6459-4f4c-9fe1-a640135ba75e' class='xr-index-data-in' type='checkbox'/><label for='index-b60b2874-6459-4f4c-9fe1-a640135ba75e' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,\n",
       "            ...\n",
       "            990, 991, 992, 993, 994, 995, 996, 997, 998, 999],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=1000))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>za_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-85196e9f-944b-41b8-b5aa-e34fb4042b71' class='xr-index-data-in' type='checkbox'/><label for='index-85196e9f-944b-41b8-b5aa-e34fb4042b71' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "            17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
       "            34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,\n",
       "            51, 52, 53, 54, 55, 56, 57, 58, 59, 60],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;za_dim_0&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>zb_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-cf0819ea-e476-4574-bf96-38d6042d2736' class='xr-index-data-in' type='checkbox'/><label for='index-cf0819ea-e476-4574-bf96-38d6042d2736' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "            17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
       "            34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,\n",
       "            51, 52, 53, 54, 55, 56, 57, 58, 59, 60],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;zb_dim_0&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-8a6a1d84-ca78-4ad4-b6bf-d861618e43de' class='xr-section-summary-in' type='checkbox'  checked><label for='section-8a6a1d84-ca78-4ad4-b6bf-d861618e43de' class='xr-section-summary' >Attributes: <span>(6)</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>2023-02-14T16:55:29.583922</dd><dt><span>arviz_version :</span></dt><dd>0.14.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.0.1</dd><dt><span>sampling_time :</span></dt><dd>36.80247354507446</dd><dt><span>tuning_steps :</span></dt><dd>1000</dd></dl></div></li></ul></div></div>"
      ],
      "text/plain": [
       "<xarray.Dataset>\n",
       "Dimensions:   (chain: 4, draw: 1000, za_dim_0: 61, zb_dim_0: 61)\n",
       "Coordinates:\n",
       "  * chain     (chain) int32 0 1 2 3\n",
       "  * draw      (draw) int32 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n",
       "  * za_dim_0  (za_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "  * zb_dim_0  (zb_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "Data variables:\n",
       "    abar      (chain, draw) float64 -0.5625 -0.7571 -0.9825 ... -0.6189 -0.7241\n",
       "    bbar      (chain, draw) float64 0.4432 0.661 0.597 ... 0.5716 0.5804 0.5551\n",
       "    za        (chain, draw, za_dim_0) float64 -1.393 -0.1688 ... -1.073 -0.8145\n",
       "    zb        (chain, draw, zb_dim_0) float64 0.6061 -0.2163 ... 0.5273 -0.06029\n",
       "    sigma     (chain, draw) float64 0.5234 0.4579 0.4542 ... 0.4424 0.4134\n",
       "    tau       (chain, draw) float64 0.4551 0.6833 0.5922 ... 0.495 0.2583 0.357\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T16:55:29.583922\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1\n",
       "    sampling_time:              36.80247354507446\n",
       "    tuning_steps:               1000"
      ]
     },
     "execution_count": 87,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bangunc_trace.posterior"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 88,
   "id": "eb5786f2",
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Sampling: [Cobs]\n"
     ]
    },
    {
     "data": {
      "text/html": [
       "\n",
       "<style>\n",
       "    /* Turns off some styling */\n",
       "    progress {\n",
       "        /* gets rid of default border in Firefox and Opera. */\n",
       "        border: none;\n",
       "        /* Needs to be in here for Safari polyfill so background images work as expected. */\n",
       "        background-size: auto;\n",
       "    }\n",
       "    progress:not([value]), progress:not([value])::-webkit-progress-bar {\n",
       "        background: repeating-linear-gradient(45deg, #7e7e7e, #7e7e7e 10px, #5c5c5c 10px, #5c5c5c 20px);\n",
       "    }\n",
       "    .progress-bar-interrupted, .progress-bar-interrupted::-webkit-progress-bar {\n",
       "        background: #F44336;\n",
       "    }\n",
       "</style>\n"
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/html": [
       "\n",
       "    <div>\n",
       "      <progress value='4000' class='' max='4000' style='width:300px; height:20px; vertical-align: middle;'></progress>\n",
       "      100.00% [4000/4000 00:01&lt;00:00]\n",
       "    </div>\n",
       "    "
      ],
      "text/plain": [
       "<IPython.core.display.HTML object>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with bangunc_m:\n",
    "    bangunc_pp = pm.sample_posterior_predictive(bangunc_trace)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 96,
   "id": "945663b7",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([0.351  , 0.3585 , 0.35525, ..., 0.236  , 0.23625, 0.248  ])"
      ]
     },
     "execution_count": 96,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bangunc_pp.posterior_predictive.Cobs.mean(('chain','draw')).values"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 107,
   "id": "98536ffb",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Text(0.5, 0, 'Posterior standard deviation')"
      ]
     },
     "execution_count": 107,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_dist(bangunc_trace.posterior.sigma,\n",
    "             color='red',\n",
    "             label='sigma/rural'\n",
    "            )\n",
    "az.plot_dist(bangunc_trace.posterior.tau,\n",
    "             color='blue',\n",
    "             label='tau/urban'\n",
    "            )\n",
    "plt.xlabel('Posterior standard deviation')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 105,
   "id": "a73ee494",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "\n",
       "            <div>\n",
       "              <div class='xr-header'>\n",
       "                <div class=\"xr-obj-type\">arviz.InferenceData</div>\n",
       "              </div>\n",
       "              <ul class=\"xr-sections group-sections\">\n",
       "              \n",
       "            <li class = \"xr-section-item\">\n",
       "                  <input id=\"idata_posterior8fc83aa6-5ae0-446a-a645-76f7bdfd52be\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_posterior8fc83aa6-5ae0-446a-a645-76f7bdfd52be\" class = \"xr-section-summary\">posterior</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[data-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 !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 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-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  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",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:   (chain: 4, draw: 1000, za_dim_0: 61, zb_dim_0: 61)\n",
       "Coordinates:\n",
       "  * chain     (chain) int32 0 1 2 3\n",
       "  * draw      (draw) int32 0 1 2 3 4 5 6 7 8 ... 992 993 994 995 996 997 998 999\n",
       "  * za_dim_0  (za_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "  * zb_dim_0  (zb_dim_0) int32 0 1 2 3 4 5 6 7 8 ... 52 53 54 55 56 57 58 59 60\n",
       "Data variables:\n",
       "    abar      (chain, draw) float64 -0.8163 -0.7083 -0.6618 ... -0.6131 -0.7452\n",
       "    bbar      (chain, draw) float64 0.917 0.6698 0.7199 ... 0.6439 0.5158 0.6199\n",
       "    za        (chain, draw, za_dim_0) float64 -1.991 0.08075 ... 0.1706 -0.1234\n",
       "    zb        (chain, draw, zb_dim_0) float64 0.5021 -0.3209 ... -0.8612 -0.9504\n",
       "    sigma     (chain, draw) float64 0.5772 0.4357 0.3699 ... 0.4118 0.3934\n",
       "    tau       (chain, draw) float64 0.5422 0.473 0.3849 ... 0.2568 0.4687 0.4988\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T17:07:19.774523\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1\n",
       "    sampling_time:              35.67642378807068\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><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-e91ddf76-f1aa-420f-8239-b312d3ea7ed0' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-e91ddf76-f1aa-420f-8239-b312d3ea7ed0' 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>: 1000</li><li><span class='xr-has-index'>za_dim_0</span>: 61</li><li><span class='xr-has-index'>zb_dim_0</span>: 61</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-bad8c018-b5d1-4fd5-81b4-2f8977347201' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bad8c018-b5d1-4fd5-81b4-2f8977347201' class='xr-section-summary' >Coordinates: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-1999c01c-035f-4664-b046-63d43f30755b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-1999c01c-035f-4664-b046-63d43f30755b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d9994529-851f-4a23-b13e-f35961c2a013' class='xr-var-data-in' type='checkbox'><label for='data-d9994529-851f-4a23-b13e-f35961c2a013' 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])</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'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 995 996 997 998 999</div><input id='attrs-8a619ef3-9b47-4465-aebf-c7f596990eda' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8a619ef3-9b47-4465-aebf-c7f596990eda' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-51dceeab-d04b-4c94-ae68-4f631ef726bf' class='xr-var-data-in' type='checkbox'><label for='data-51dceeab-d04b-4c94-ae68-4f631ef726bf' 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, ..., 997, 998, 999])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>za_dim_0</span></div><div class='xr-var-dims'>(za_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 ... 55 56 57 58 59 60</div><input id='attrs-c4518a21-e6ab-4c1f-8dbd-9628e557cda7' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c4518a21-e6ab-4c1f-8dbd-9628e557cda7' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d9192fa2-30bc-439e-9c80-e11daaa1c033' class='xr-var-data-in' type='checkbox'><label for='data-d9192fa2-30bc-439e-9c80-e11daaa1c033' 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,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
       "       54, 55, 56, 57, 58, 59, 60])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>zb_dim_0</span></div><div class='xr-var-dims'>(zb_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 6 ... 55 56 57 58 59 60</div><input id='attrs-afa61801-3076-460e-9817-702b8db8e058' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-afa61801-3076-460e-9817-702b8db8e058' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a40ead8d-93b4-4231-b271-b90a99079c5b' class='xr-var-data-in' type='checkbox'><label for='data-a40ead8d-93b4-4231-b271-b90a99079c5b' 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,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16, 17,\n",
       "       18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33, 34, 35,\n",
       "       36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50, 51, 52, 53,\n",
       "       54, 55, 56, 57, 58, 59, 60])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-250c18be-f571-4a7c-bdf9-8399430e8e77' class='xr-section-summary-in' type='checkbox'  checked><label for='section-250c18be-f571-4a7c-bdf9-8399430e8e77' 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>abar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-0.8163 -0.7083 ... -0.6131 -0.7452</div><input id='attrs-8239a0da-18dc-4159-af38-36fce3421c26' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-8239a0da-18dc-4159-af38-36fce3421c26' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-223c4263-f560-41c3-a704-4e0c14dc39a5' class='xr-var-data-in' type='checkbox'><label for='data-223c4263-f560-41c3-a704-4e0c14dc39a5' 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([[-0.81627705, -0.70828067, -0.66179133, ..., -0.65726192,\n",
       "        -0.81974654, -0.69790282],\n",
       "       [-0.83029062, -0.71860038, -0.63692006, ..., -0.66388071,\n",
       "        -0.71425648, -0.55264208],\n",
       "       [-0.69817949, -0.79179736, -0.74726761, ..., -0.65267658,\n",
       "        -0.62537672, -0.70634176],\n",
       "       [-0.77469732, -0.70973019, -0.62614094, ..., -0.60756218,\n",
       "        -0.61313971, -0.74523494]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>bbar</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.917 0.6698 ... 0.5158 0.6199</div><input id='attrs-5a67d9bf-6bdd-4ed3-befa-6933642f9165' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5a67d9bf-6bdd-4ed3-befa-6933642f9165' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ee08f8ff-3881-413e-be43-853dbc65f6d0' class='xr-var-data-in' type='checkbox'><label for='data-ee08f8ff-3881-413e-be43-853dbc65f6d0' 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([[0.91702384, 0.66983964, 0.71991014, ..., 0.74250673, 0.58394897,\n",
       "        0.53951578],\n",
       "       [0.47466759, 0.7899888 , 0.95799628, ..., 0.53728906, 0.66607372,\n",
       "        0.47376494],\n",
       "       [0.47489609, 0.62926014, 0.62496776, ..., 0.65409186, 0.47876076,\n",
       "        0.73627033],\n",
       "       [0.8614308 , 0.66041882, 0.71436032, ..., 0.64386628, 0.51577121,\n",
       "        0.61992316]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>za</span></div><div class='xr-var-dims'>(chain, draw, za_dim_0)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>-1.991 0.08075 ... 0.1706 -0.1234</div><input id='attrs-692b964c-3df3-4e62-86b7-2e11454d190a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-692b964c-3df3-4e62-86b7-2e11454d190a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-28f55cca-70fe-4a2d-8694-d7b63f86ac3a' class='xr-var-data-in' type='checkbox'><label for='data-28f55cca-70fe-4a2d-8694-d7b63f86ac3a' 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([[[-1.9909407 ,  0.08074775,  0.79275542, ..., -0.29188634,\n",
       "          0.13035598, -0.76488372],\n",
       "        [-1.02689464,  0.72631792,  0.03202513, ..., -0.63821786,\n",
       "         -0.60434368, -1.25303792],\n",
       "        [-2.66737497,  0.10373947,  1.023484  , ..., -2.15583844,\n",
       "         -1.31167886, -1.03294912],\n",
       "        ...,\n",
       "        [-1.68564728,  0.5888573 ,  0.33958814, ..., -2.67137255,\n",
       "         -2.21488681, -2.27065837],\n",
       "        [-1.16143903, -0.03151965, -0.0832481 , ..., -2.26784737,\n",
       "         -0.51342666, -0.72025099],\n",
       "        [-0.98471588,  0.11103473, -1.88186241, ..., -0.52070517,\n",
       "         -0.55378691, -1.21714855]],\n",
       "\n",
       "       [[-1.92872007, -1.09506893,  0.29832   , ..., -0.12899422,\n",
       "         -0.83304183,  0.25610302],\n",
       "        [-2.06488623,  1.24367943,  0.84802247, ..., -0.93346937,\n",
       "          0.0055299 , -1.76578088],\n",
       "        [-2.27981557, -0.61524739,  0.08613035, ..., -0.18950195,\n",
       "         -1.71245862, -0.21579106],\n",
       "...\n",
       "        [-2.20113401, -0.47948215,  1.50649214, ..., -0.47973665,\n",
       "         -2.04323471, -1.7835281 ],\n",
       "        [-0.66345358, -0.67693459, -0.11741753, ..., -0.88088743,\n",
       "          0.43731095, -0.17413855],\n",
       "        [-1.65862552,  0.90695881,  0.86060726, ..., -0.52945144,\n",
       "         -1.94665206, -1.78886624]],\n",
       "\n",
       "       [[-1.13496895,  0.08600529,  0.56910021, ..., -1.17000965,\n",
       "         -1.01595126, -0.97239257],\n",
       "        [-0.85175777,  0.36496831,  1.63600555, ..., -0.54605373,\n",
       "         -1.02298287, -0.90158058],\n",
       "        [-2.14580183,  0.70791442,  0.64704862, ..., -1.60881645,\n",
       "         -1.46350176, -0.98301901],\n",
       "        ...,\n",
       "        [-1.31632977, -0.19587123,  0.97799785, ..., -1.0422805 ,\n",
       "         -0.48326283, -1.74429001],\n",
       "        [-1.109556  ,  0.36705456, -0.33655353, ..., -0.52591054,\n",
       "         -1.48575408, -1.81754665],\n",
       "        [-1.31608985,  0.60192743, -0.55866549, ..., -1.60127119,\n",
       "          0.1705771 , -0.12341819]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>zb</span></div><div class='xr-var-dims'>(chain, draw, zb_dim_0)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.5021 -0.3209 ... -0.8612 -0.9504</div><input id='attrs-7da7ae47-ab15-4f33-8cb6-2868782a398f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7da7ae47-ab15-4f33-8cb6-2868782a398f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-05f73c59-5a4b-459a-a737-f08833c2e6d1' class='xr-var-data-in' type='checkbox'><label for='data-05f73c59-5a4b-459a-a737-f08833c2e6d1' 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([[[ 0.50206223, -0.32087037,  0.88220059, ...,  0.90751611,\n",
       "         -0.02540058, -0.42491382],\n",
       "        [-0.92669591,  0.48361047,  0.74649168, ..., -0.81900376,\n",
       "          0.84228054, -0.75626859],\n",
       "        [ 0.09349254, -1.16232361, -0.35684881, ...,  0.21513395,\n",
       "         -1.63280317, -1.30470904],\n",
       "        ...,\n",
       "        [-0.52921335, -0.56915955,  0.73582308, ..., -0.16463794,\n",
       "          0.90542593,  0.08360373],\n",
       "        [-0.06558395,  1.3026864 ,  0.77227404, ...,  1.02637493,\n",
       "         -0.88969981, -0.89867858],\n",
       "        [ 0.22498014,  0.71729783,  2.16790914, ...,  1.79467273,\n",
       "         -1.38189015,  0.3620376 ]],\n",
       "\n",
       "       [[ 1.08759629,  0.69206995, -1.18559884, ...,  0.47102798,\n",
       "          0.04174824, -0.71392698],\n",
       "        [ 0.31607022,  0.02361923,  3.13363843, ...,  0.08358403,\n",
       "         -1.46672927, -0.62467512],\n",
       "        [ 0.35036773,  0.96817076, -0.77203861, ...,  0.86725845,\n",
       "          0.35689236, -0.52877956],\n",
       "...\n",
       "        [ 0.23956007, -1.65008173,  2.38531575, ..., -1.96042128,\n",
       "         -1.09526073, -0.64019865],\n",
       "        [-0.21903401,  0.87294002, -1.42000517, ...,  1.62090694,\n",
       "         -0.04495796, -0.12410901],\n",
       "        [ 0.61245443, -0.92977148,  2.10475266, ..., -1.66172403,\n",
       "         -0.42713019, -0.34457556]],\n",
       "\n",
       "       [[ 0.2871216 ,  0.17035749,  0.29800856, ..., -0.85941932,\n",
       "         -0.44266098, -0.90819717],\n",
       "        [ 0.31755869,  0.38319264,  0.91935495, ...,  0.13169715,\n",
       "          0.59307795, -1.06986362],\n",
       "        [ 1.45943652,  0.31916326,  1.61034818, ...,  0.27873195,\n",
       "          1.01399405, -1.32007203],\n",
       "        ...,\n",
       "        [ 0.01773289,  0.4175721 ,  0.70314833, ..., -0.36186727,\n",
       "         -0.41790103, -1.21032215],\n",
       "        [ 0.3647177 ,  0.73233189, -0.78486857, ...,  0.37792655,\n",
       "          0.19404018,  0.44861802],\n",
       "        [-0.12974158, -0.72077495,  2.87795992, ..., -1.13439975,\n",
       "         -0.86120631, -0.95043053]]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>sigma</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.5772 0.4357 ... 0.4118 0.3934</div><input id='attrs-96953665-30d1-4b4f-9a67-36ac00f9e5b1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-96953665-30d1-4b4f-9a67-36ac00f9e5b1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-61ba882b-5966-48d1-b7e3-f31706f9a9b1' class='xr-var-data-in' type='checkbox'><label for='data-61ba882b-5966-48d1-b7e3-f31706f9a9b1' 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([[0.57722872, 0.43574293, 0.36991854, ..., 0.36347857, 0.46595474,\n",
       "        0.61645516],\n",
       "       [0.49980174, 0.41202983, 0.55731042, ..., 0.53078549, 0.57032169,\n",
       "        0.66481775],\n",
       "       [0.43661419, 0.50645465, 0.61288337, ..., 0.40368602, 0.38209375,\n",
       "        0.45923677],\n",
       "       [0.60810409, 0.63689588, 0.52930071, ..., 0.47571006, 0.41184092,\n",
       "        0.39337172]])</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'>0.5422 0.473 ... 0.4687 0.4988</div><input id='attrs-3dd099eb-b648-4f79-9865-473f151f01fc' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-3dd099eb-b648-4f79-9865-473f151f01fc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4f5443ec-c016-442c-a727-8af50f0c8bda' class='xr-var-data-in' type='checkbox'><label for='data-4f5443ec-c016-442c-a727-8af50f0c8bda' 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([[0.54224079, 0.47300921, 0.38489451, ..., 0.82700634, 0.57228631,\n",
       "        0.52621377],\n",
       "       [0.57830353, 0.97862378, 1.16993403, ..., 0.55824339, 0.66656617,\n",
       "        0.57192367],\n",
       "       [0.51649982, 0.35013603, 0.2815852 , ..., 0.54969221, 0.70716232,\n",
       "        0.86385303],\n",
       "       [0.50715605, 0.4933234 , 0.40185961, ..., 0.256803  , 0.4687035 ,\n",
       "        0.49875119]])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-edc6fb5b-c2c2-4502-8ae7-8fd6db169d4e' class='xr-section-summary-in' type='checkbox'  ><label for='section-edc6fb5b-c2c2-4502-8ae7-8fd6db169d4e' class='xr-section-summary' >Indexes: <span>(4)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-8821da68-8d3b-4e74-b548-2e1e0b944af9' class='xr-index-data-in' type='checkbox'/><label for='index-8821da68-8d3b-4e74-b548-2e1e0b944af9' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([0, 1, 2, 3], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-089ab8bf-4610-46d3-b29b-70a27494f78a' class='xr-index-data-in' type='checkbox'/><label for='index-089ab8bf-4610-46d3-b29b-70a27494f78a' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,\n",
       "            ...\n",
       "            990, 991, 992, 993, 994, 995, 996, 997, 998, 999],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=1000))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>za_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-968d6e5b-44b1-40aa-8e95-f2874125d312' class='xr-index-data-in' type='checkbox'/><label for='index-968d6e5b-44b1-40aa-8e95-f2874125d312' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "            17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
       "            34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,\n",
       "            51, 52, 53, 54, 55, 56, 57, 58, 59, 60],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;za_dim_0&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>zb_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-9d66f710-ba3f-49d4-ace1-91964ba44442' class='xr-index-data-in' type='checkbox'/><label for='index-9d66f710-ba3f-49d4-ace1-91964ba44442' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([ 0,  1,  2,  3,  4,  5,  6,  7,  8,  9, 10, 11, 12, 13, 14, 15, 16,\n",
       "            17, 18, 19, 20, 21, 22, 23, 24, 25, 26, 27, 28, 29, 30, 31, 32, 33,\n",
       "            34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 50,\n",
       "            51, 52, 53, 54, 55, 56, 57, 58, 59, 60],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;zb_dim_0&#x27;))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-d1936ea0-8ab4-4d1e-a40d-158781a2e8c8' class='xr-section-summary-in' type='checkbox'  checked><label for='section-d1936ea0-8ab4-4d1e-a40d-158781a2e8c8' class='xr-section-summary' >Attributes: <span>(6)</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>2023-02-14T17:07:19.774523</dd><dt><span>arviz_version :</span></dt><dd>0.14.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.0.1</dd><dt><span>sampling_time :</span></dt><dd>35.67642378807068</dd><dt><span>tuning_steps :</span></dt><dd>1000</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_sample_stats352d9b57-a95f-4f7c-8d1e-24c7cbab6b9c\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_sample_stats352d9b57-a95f-4f7c-8d1e-24c7cbab6b9c\" class = \"xr-section-summary\">sample_stats</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[data-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 !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 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-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  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",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:                (chain: 4, draw: 1000)\n",
       "Coordinates:\n",
       "  * chain                  (chain) int32 0 1 2 3\n",
       "  * draw                   (draw) int32 0 1 2 3 4 5 ... 994 995 996 997 998 999\n",
       "Data variables: (12/17)\n",
       "    n_steps                (chain, draw) float64 15.0 15.0 15.0 ... 15.0 15.0\n",
       "    diverging              (chain, draw) bool False False False ... False False\n",
       "    largest_eigval         (chain, draw) float64 nan nan nan nan ... nan nan nan\n",
       "    smallest_eigval        (chain, draw) float64 nan nan nan nan ... nan nan nan\n",
       "    max_energy_error       (chain, draw) float64 0.6776 -0.7491 ... -0.4186\n",
       "    perf_counter_diff      (chain, draw) float64 0.007696 0.007926 ... 0.007912\n",
       "    ...                     ...\n",
       "    lp                     (chain, draw) float64 -1.383e+03 ... -1.407e+03\n",
       "    process_time_diff      (chain, draw) float64 0.0 0.01562 0.01562 ... 0.0 0.0\n",
       "    step_size              (chain, draw) float64 0.2342 0.2342 ... 0.2967 0.2967\n",
       "    energy_error           (chain, draw) float64 -0.06642 0.5339 ... 0.0634\n",
       "    perf_counter_start     (chain, draw) float64 1.888e+06 ... 1.888e+06\n",
       "    reached_max_treedepth  (chain, draw) bool False False False ... False False\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T17:07:19.783526\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1\n",
       "    sampling_time:              35.67642378807068\n",
       "    tuning_steps:               1000</pre><div class='xr-wrap' style='display:none'><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-3f705ef4-4991-4bd2-82a1-280827897a8c' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-3f705ef4-4991-4bd2-82a1-280827897a8c' 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>: 1000</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-bf694ec8-56fc-4b36-934f-0cb2f4bcd496' class='xr-section-summary-in' type='checkbox'  checked><label for='section-bf694ec8-56fc-4b36-934f-0cb2f4bcd496' class='xr-section-summary' >Coordinates: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>chain</span></div><div class='xr-var-dims'>(chain)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3</div><input id='attrs-620ae90f-8b0f-4173-9e9d-ea651be5f806' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-620ae90f-8b0f-4173-9e9d-ea651be5f806' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-c2350fa8-8292-4400-aa13-c01d9c28e0d6' class='xr-var-data-in' type='checkbox'><label for='data-c2350fa8-8292-4400-aa13-c01d9c28e0d6' 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])</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'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 5 ... 995 996 997 998 999</div><input id='attrs-7eaa96cb-082d-48f0-9ab4-5e6b0632f266' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-7eaa96cb-082d-48f0-9ab4-5e6b0632f266' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-efb2a9dc-f45e-4db5-bbf3-4d1bab7fd4be' class='xr-var-data-in' type='checkbox'><label for='data-efb2a9dc-f45e-4db5-bbf3-4d1bab7fd4be' 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, ..., 997, 998, 999])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b7a47e06-33e6-44eb-9668-758a803df200' class='xr-section-summary-in' type='checkbox'  ><label for='section-b7a47e06-33e6-44eb-9668-758a803df200' class='xr-section-summary' >Data variables: <span>(17)</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>n_steps</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>15.0 15.0 15.0 ... 15.0 15.0 15.0</div><input id='attrs-701d0835-38c8-443b-b77e-ff1ee73ff150' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-701d0835-38c8-443b-b77e-ff1ee73ff150' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-968bb0a7-7db1-4853-b07b-8881e0a81df2' class='xr-var-data-in' type='checkbox'><label for='data-968bb0a7-7db1-4853-b07b-8881e0a81df2' 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([[15., 15., 15., ..., 15., 15., 15.],\n",
       "       [15., 15., 15., ..., 15., 15., 15.],\n",
       "       [15., 15., 15., ..., 15., 15., 15.],\n",
       "       [15., 15., 15., ..., 15., 15., 15.]])</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'>False False False ... False False</div><input id='attrs-75ecbc9d-00ea-4c28-94c5-4f5e20c78828' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-75ecbc9d-00ea-4c28-94c5-4f5e20c78828' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6a0c328b-d456-41ae-abf0-dfaa71fa4274' class='xr-var-data-in' type='checkbox'><label for='data-6a0c328b-d456-41ae-abf0-dfaa71fa4274' 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>largest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-a1d98d45-b153-41c6-83d4-2ace936cf379' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a1d98d45-b153-41c6-83d4-2ace936cf379' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-f0b975c3-0600-4647-956d-e58934d671f3' class='xr-var-data-in' type='checkbox'><label for='data-f0b975c3-0600-4647-956d-e58934d671f3' 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([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>smallest_eigval</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>nan nan nan nan ... nan nan nan nan</div><input id='attrs-5fa0328a-06cf-4622-a4fc-8253af240a77' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-5fa0328a-06cf-4622-a4fc-8253af240a77' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-cde5591f-0f9e-4c93-a54a-5bd5d01a99a5' class='xr-var-data-in' type='checkbox'><label for='data-cde5591f-0f9e-4c93-a54a-5bd5d01a99a5' 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([[nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan],\n",
       "       [nan, nan, nan, ..., nan, nan, nan]])</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'>0.6776 -0.7491 ... -0.2002 -0.4186</div><input id='attrs-d6e4c8aa-6e39-49ec-9568-fad8b569770a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-d6e4c8aa-6e39-49ec-9568-fad8b569770a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-d7ba610b-9407-4450-a6f9-6e79189a4c60' class='xr-var-data-in' type='checkbox'><label for='data-d7ba610b-9407-4450-a6f9-6e79189a4c60' 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([[ 0.67762034, -0.74908655, -0.48861932, ..., -0.7825051 ,\n",
       "        -0.47515081, -0.36038904],\n",
       "       [ 0.55824715,  0.457996  , -1.32324206, ..., -0.82989965,\n",
       "         0.68778406, -1.23556932],\n",
       "       [ 1.00264968, -1.54478203,  0.56437465, ...,  3.24311614,\n",
       "         0.45955655,  2.60552884],\n",
       "       [-0.96313675,  1.05920145,  0.52054089, ..., -1.99938246,\n",
       "        -0.20017763, -0.41860643]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>perf_counter_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.007696 0.007926 ... 0.007912</div><input id='attrs-06c42a0e-8308-492e-8bcd-f933e1cb5efc' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-06c42a0e-8308-492e-8bcd-f933e1cb5efc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ecb83fe5-4b0c-43a5-a9b6-2056ef04c353' class='xr-var-data-in' type='checkbox'><label for='data-ecb83fe5-4b0c-43a5-a9b6-2056ef04c353' 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([[0.0076963, 0.007926 , 0.0077148, ..., 0.0076141, 0.0077586,\n",
       "        0.0076237],\n",
       "       [0.007633 , 0.0075855, 0.0076248, ..., 0.0075508, 0.0072188,\n",
       "        0.0073046],\n",
       "       [0.0076889, 0.0077135, 0.0097747, ..., 0.0077482, 0.0076063,\n",
       "        0.0076154],\n",
       "       [0.0101962, 0.0105071, 0.010588 , ..., 0.0076283, 0.0077694,\n",
       "        0.0079115]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>index_in_trajectory</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>-11 12 12 4 4 ... -11 -11 14 -11 7</div><input id='attrs-076a3e56-3138-47f3-a0a5-78d92cc4c62f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-076a3e56-3138-47f3-a0a5-78d92cc4c62f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-dc664748-b6aa-4927-a00a-145561ba3fec' class='xr-var-data-in' type='checkbox'><label for='data-dc664748-b6aa-4927-a00a-145561ba3fec' 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([[-11,  12,  12, ...,  -6, -15,   5],\n",
       "       [ -6,  -6,  -7, ...,  -5,   9, -14],\n",
       "       [  3,  10,  -3, ...,  -9,  -8,  10],\n",
       "       [ -4,   3,  -4, ...,  14, -11,   7]], dtype=int64)</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>acceptance_rate</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.8874 0.7997 ... 0.9557 0.9858</div><input id='attrs-c7d29e29-caff-4eba-9cb6-3805a1aacf87' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c7d29e29-caff-4eba-9cb6-3805a1aacf87' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-a1a6d42a-bb41-4fa8-bdce-099159175f80' class='xr-var-data-in' type='checkbox'><label for='data-a1a6d42a-bb41-4fa8-bdce-099159175f80' 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([[0.88744751, 0.79966473, 0.86873707, ..., 0.98322617, 0.9902286 ,\n",
       "        0.98159499],\n",
       "       [0.79289106, 0.85572898, 0.98782451, ..., 0.97517747, 0.75997096,\n",
       "        0.94694933],\n",
       "       [0.73374189, 0.85553389, 0.83262653, ..., 0.52317728, 0.86417676,\n",
       "        0.45436486],\n",
       "       [1.        , 0.62193931, 0.795181  , ..., 0.94297734, 0.95567335,\n",
       "        0.98581285]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>tree_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'>4 4 4 4 4 4 4 4 ... 4 4 4 4 4 4 4 4</div><input id='attrs-bbfdbe70-a6c1-488f-84a1-f59592e5ba75' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-bbfdbe70-a6c1-488f-84a1-f59592e5ba75' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-1fc2a54f-46a1-4c48-a3be-34a929fbd971' class='xr-var-data-in' type='checkbox'><label for='data-1fc2a54f-46a1-4c48-a3be-34a929fbd971' 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, 4, 4, ..., 4, 4, 4],\n",
       "       [4, 4, 4, ..., 4, 4, 4],\n",
       "       [4, 4, 4, ..., 4, 4, 4],\n",
       "       [4, 4, 4, ..., 4, 4, 4]], dtype=int64)</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'>0.3198 0.3198 ... 0.336 0.336</div><input id='attrs-172d2488-8149-49e9-8ef5-ece124ca685f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-172d2488-8149-49e9-8ef5-ece124ca685f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-16aa43f6-9a96-40ed-98b6-633ebb638a5c' class='xr-var-data-in' type='checkbox'><label for='data-16aa43f6-9a96-40ed-98b6-633ebb638a5c' 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([[0.31983097, 0.31983097, 0.31983097, ..., 0.31983097, 0.31983097,\n",
       "        0.31983097],\n",
       "       [0.32537462, 0.32537462, 0.32537462, ..., 0.32537462, 0.32537462,\n",
       "        0.32537462],\n",
       "       [0.3325324 , 0.3325324 , 0.3325324 , ..., 0.3325324 , 0.3325324 ,\n",
       "        0.3325324 ],\n",
       "       [0.33595593, 0.33595593, 0.33595593, ..., 0.33595593, 0.33595593,\n",
       "        0.33595593]])</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'>1.462e+03 1.446e+03 ... 1.467e+03</div><input id='attrs-e1024061-27a2-4747-a429-3ab41403fdbb' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e1024061-27a2-4747-a429-3ab41403fdbb' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-977f9c01-b38b-4eef-a66d-8aaef71a9484' class='xr-var-data-in' type='checkbox'><label for='data-977f9c01-b38b-4eef-a66d-8aaef71a9484' 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([[1461.87773551, 1445.63887961, 1465.20246756, ..., 1449.15650305,\n",
       "        1456.32970288, 1456.04866137],\n",
       "       [1439.94758033, 1442.74127024, 1427.65005434, ..., 1467.30948356,\n",
       "        1450.67561515, 1439.72309716],\n",
       "       [1452.04144571, 1460.80873546, 1462.62780984, ..., 1462.69411169,\n",
       "        1462.8912697 , 1459.53695762],\n",
       "       [1436.09976562, 1449.68397537, 1471.62186792, ..., 1459.52677111,\n",
       "        1459.11060781, 1467.33269864]])</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'>-1.383e+03 ... -1.407e+03</div><input id='attrs-0f82fd3e-398c-4327-9c87-3e2e06cf0a9f' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0f82fd3e-398c-4327-9c87-3e2e06cf0a9f' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-ad8225b7-ec85-4d94-8555-f61fcd5e32cc' class='xr-var-data-in' type='checkbox'><label for='data-ad8225b7-ec85-4d94-8555-f61fcd5e32cc' 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([[-1382.91230852, -1394.36219455, -1398.75165971, ...,\n",
       "        -1390.60678135, -1394.76187888, -1389.07091329],\n",
       "       [-1385.27730265, -1381.54217625, -1372.08906201, ...,\n",
       "        -1385.61358958, -1384.50277123, -1381.10802238],\n",
       "       [-1393.56917573, -1396.27806767, -1395.32004547, ...,\n",
       "        -1393.73494256, -1394.01001421, -1390.15900828],\n",
       "       [-1375.44676482, -1399.26525464, -1394.75670476, ...,\n",
       "        -1402.90427739, -1400.88457461, -1407.47058229]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>process_time_diff</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>0.0 0.01562 0.01562 ... 0.0 0.0</div><input id='attrs-fd532015-1bed-4b53-bc91-4662bd4a6c9b' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-fd532015-1bed-4b53-bc91-4662bd4a6c9b' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-0884bfb5-c641-4968-aa01-fdce6ec80ea4' class='xr-var-data-in' type='checkbox'><label for='data-0884bfb5-c641-4968-aa01-fdce6ec80ea4' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([[0.      , 0.015625, 0.015625, ..., 0.      , 0.015625, 0.      ],\n",
       "       [0.015625, 0.      , 0.      , ..., 0.015625, 0.      , 0.      ],\n",
       "       [0.      , 0.      , 0.015625, ..., 0.      , 0.015625, 0.      ],\n",
       "       [0.      , 0.015625, 0.015625, ..., 0.015625, 0.      , 0.      ]])</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'>0.2342 0.2342 ... 0.2967 0.2967</div><input id='attrs-cf808bc1-e161-4430-87de-1a37ca2e2bf1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-cf808bc1-e161-4430-87de-1a37ca2e2bf1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-620a7fa4-b89b-4af1-9994-3080ed174ed0' class='xr-var-data-in' type='checkbox'><label for='data-620a7fa4-b89b-4af1-9994-3080ed174ed0' 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([[0.23423835, 0.23423835, 0.23423835, ..., 0.23423835, 0.23423835,\n",
       "        0.23423835],\n",
       "       [0.37646333, 0.37646333, 0.37646333, ..., 0.37646333, 0.37646333,\n",
       "        0.37646333],\n",
       "       [0.30880956, 0.30880956, 0.30880956, ..., 0.30880956, 0.30880956,\n",
       "        0.30880956],\n",
       "       [0.29672901, 0.29672901, 0.29672901, ..., 0.29672901, 0.29672901,\n",
       "        0.29672901]])</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'>-0.06642 0.5339 ... 0.05989 0.0634</div><input id='attrs-c6a67ec1-0e57-49a9-a603-5ac10f8d0cb4' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c6a67ec1-0e57-49a9-a603-5ac10f8d0cb4' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-4a7d4067-071c-49e0-acc8-ebeb8a34d4f4' class='xr-var-data-in' type='checkbox'><label for='data-4a7d4067-071c-49e0-acc8-ebeb8a34d4f4' 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([[-0.06642228,  0.53388829, -0.03540649, ..., -0.15453279,\n",
       "        -0.21217884, -0.16785508],\n",
       "       [ 0.35905134,  0.23474624, -0.6315008 , ..., -0.82989965,\n",
       "         0.55501698, -0.49510509],\n",
       "       [ 0.34186023, -0.42687238,  0.15959902, ..., -0.1230293 ,\n",
       "        -0.29310791,  0.31658691],\n",
       "       [-0.70890519,  0.74037822, -0.03473763, ..., -0.3898906 ,\n",
       "         0.05989429,  0.06340083]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>perf_counter_start</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>float64</div><div class='xr-var-preview xr-preview'>1.888e+06 1.888e+06 ... 1.888e+06</div><input id='attrs-dd8e21a9-a2a8-440e-8f6b-44e963ea1009' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-dd8e21a9-a2a8-440e-8f6b-44e963ea1009' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-8e8ee136-0ce3-45d3-9371-e4f354adb751' class='xr-var-data-in' type='checkbox'><label for='data-8e8ee136-0ce3-45d3-9371-e4f354adb751' 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([[1888197.3847058, 1888197.3925667, 1888197.4006516, ...,\n",
       "        1888205.7426032, 1888205.7503377, 1888205.7582441],\n",
       "       [1888197.7911242, 1888197.7988945, 1888197.806601 , ...,\n",
       "        1888207.2739303, 1888207.2816255, 1888207.2889772],\n",
       "       [1888197.6885488, 1888197.6963712, 1888197.7042086, ...,\n",
       "        1888206.7246713, 1888206.7325668, 1888206.7402992],\n",
       "       [1888198.6964682, 1888198.7069027, 1888198.7176181, ...,\n",
       "        1888208.4942043, 1888208.5019567, 1888208.5098652]])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>reached_max_treedepth</span></div><div class='xr-var-dims'>(chain, draw)</div><div class='xr-var-dtype'>bool</div><div class='xr-var-preview xr-preview'>False False False ... False False</div><input id='attrs-a9353b6f-63b3-436f-9344-0ecdb0a8d885' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-a9353b6f-63b3-436f-9344-0ecdb0a8d885' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-2ce151f2-991c-44c5-a06a-7c1d62683b87' class='xr-var-data-in' type='checkbox'><label for='data-2ce151f2-991c-44c5-a06a-7c1d62683b87' 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></ul></div></li><li class='xr-section-item'><input id='section-170472ac-2401-4106-9793-d02dd21ef576' class='xr-section-summary-in' type='checkbox'  ><label for='section-170472ac-2401-4106-9793-d02dd21ef576' class='xr-section-summary' >Indexes: <span>(2)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>chain</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-36628359-0a57-4223-8d9e-b2c248e2dd88' class='xr-index-data-in' type='checkbox'/><label for='index-36628359-0a57-4223-8d9e-b2c248e2dd88' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([0, 1, 2, 3], dtype=&#x27;int64&#x27;, name=&#x27;chain&#x27;))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>draw</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-408a2920-bdba-4057-9e58-cbe74c8cbfe8' class='xr-index-data-in' type='checkbox'/><label for='index-408a2920-bdba-4057-9e58-cbe74c8cbfe8' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([  0,   1,   2,   3,   4,   5,   6,   7,   8,   9,\n",
       "            ...\n",
       "            990, 991, 992, 993, 994, 995, 996, 997, 998, 999],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;draw&#x27;, length=1000))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b9d2fc1a-04f0-4c5d-ab3c-efdd0551b47b' class='xr-section-summary-in' type='checkbox'  checked><label for='section-b9d2fc1a-04f0-4c5d-ab3c-efdd0551b47b' class='xr-section-summary' >Attributes: <span>(6)</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>2023-02-14T17:07:19.783526</dd><dt><span>arviz_version :</span></dt><dd>0.14.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.0.1</dd><dt><span>sampling_time :</span></dt><dd>35.67642378807068</dd><dt><span>tuning_steps :</span></dt><dd>1000</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_data10dda673-9b08-4842-9cbb-5bddf06f1548\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_observed_data10dda673-9b08-4842-9cbb-5bddf06f1548\" 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",
       "</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[data-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 !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 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-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  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",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:     (Cobs_dim_0: 1934)\n",
       "Coordinates:\n",
       "  * Cobs_dim_0  (Cobs_dim_0) int32 0 1 2 3 4 5 ... 1928 1929 1930 1931 1932 1933\n",
       "Data variables:\n",
       "    Cobs        (Cobs_dim_0) int64 0 0 0 0 0 0 0 0 0 0 1 ... 0 0 0 1 0 0 0 0 0 0\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T17:07:19.787525\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1</pre><div class='xr-wrap' style='display:none'><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-0bf268f6-43f5-4313-8d55-e6c1ec74292d' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-0bf268f6-43f5-4313-8d55-e6c1ec74292d' 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'>Cobs_dim_0</span>: 1934</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-29d0b84e-cb2c-4d5e-bbbc-9210d5b06e5f' class='xr-section-summary-in' type='checkbox'  checked><label for='section-29d0b84e-cb2c-4d5e-bbbc-9210d5b06e5f' 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'>Cobs_dim_0</span></div><div class='xr-var-dims'>(Cobs_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 1930 1931 1932 1933</div><input id='attrs-66727c86-f7af-409e-b951-20a8d489d37c' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-66727c86-f7af-409e-b951-20a8d489d37c' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-6a6a5bc6-6c3b-493c-a9c2-ba75502f60e7' class='xr-var-data-in' type='checkbox'><label for='data-6a6a5bc6-6c3b-493c-a9c2-ba75502f60e7' 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, ..., 1931, 1932, 1933])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b94317f0-fac8-42aa-8cbc-dbd6cb24f251' class='xr-section-summary-in' type='checkbox'  checked><label for='section-b94317f0-fac8-42aa-8cbc-dbd6cb24f251' 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>Cobs</span></div><div class='xr-var-dims'>(Cobs_dim_0)</div><div class='xr-var-dtype'>int64</div><div class='xr-var-preview xr-preview'>0 0 0 0 0 0 0 0 ... 0 1 0 0 0 0 0 0</div><input id='attrs-09fa96a7-d812-4d35-9014-0f0a5b63f383' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-09fa96a7-d812-4d35-9014-0f0a5b63f383' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-52627d4e-883e-4b42-ab95-3ad6c161edf9' class='xr-var-data-in' type='checkbox'><label for='data-52627d4e-883e-4b42-ab95-3ad6c161edf9' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 0, 0, ..., 0, 0, 0], dtype=int64)</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-b4d0096d-fb67-42c4-a653-fe8dc613816b' class='xr-section-summary-in' type='checkbox'  ><label for='section-b4d0096d-fb67-42c4-a653-fe8dc613816b' class='xr-section-summary' >Indexes: <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-index-name'><div>Cobs_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-625edb44-27f6-48e0-9e4b-bb7a815bac46' class='xr-index-data-in' type='checkbox'/><label for='index-625edb44-27f6-48e0-9e4b-bb7a815bac46' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "            ...\n",
       "            1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;Cobs_dim_0&#x27;, length=1934))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-ada4660c-324a-4098-bbbb-17794c29df1d' class='xr-section-summary-in' type='checkbox'  checked><label for='section-ada4660c-324a-4098-bbbb-17794c29df1d' class='xr-section-summary' >Attributes: <span>(4)</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>2023-02-14T17:07:19.787525</dd><dt><span>arviz_version :</span></dt><dd>0.14.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.0.1</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_constant_data784eb211-0938-445b-9370-9a8860c7dd3a\" class=\"xr-section-summary-in\" type=\"checkbox\">\n",
       "                  <label for=\"idata_constant_data784eb211-0938-445b-9370-9a8860c7dd3a\" class = \"xr-section-summary\">constant_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",
       "</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[data-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 !important;\n",
       "  min-width: 300px;\n",
       "  max-width: 700px;\n",
       "}\n",
       "\n",
       ".xr-text-repr-fallback {\n",
       "  /* fallback to plain text repr when CSS is not injected (untrusted notebook) */\n",
       "  display: none;\n",
       "}\n",
       "\n",
       ".xr-header {\n",
       "  padding-top: 6px;\n",
       "  padding-bottom: 6px;\n",
       "  margin-bottom: 4px;\n",
       "  border-bottom: solid 1px var(--xr-border-color);\n",
       "}\n",
       "\n",
       ".xr-header > div,\n",
       ".xr-header > ul {\n",
       "  display: inline;\n",
       "  margin-top: 0;\n",
       "  margin-bottom: 0;\n",
       "}\n",
       "\n",
       ".xr-obj-type,\n",
       ".xr-array-name {\n",
       "  margin-left: 2px;\n",
       "  margin-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-obj-type {\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-sections {\n",
       "  padding-left: 0 !important;\n",
       "  display: grid;\n",
       "  grid-template-columns: 150px auto auto 1fr 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-index-preview {\n",
       "  grid-column: 2 / 5;\n",
       "  color: var(--xr-font-color2);\n",
       "}\n",
       "\n",
       ".xr-var-name,\n",
       ".xr-var-dims,\n",
       ".xr-var-dtype,\n",
       ".xr-preview,\n",
       ".xr-attrs dt {\n",
       "  white-space: nowrap;\n",
       "  overflow: hidden;\n",
       "  text-overflow: ellipsis;\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-var-name:hover,\n",
       ".xr-var-dims:hover,\n",
       ".xr-var-dtype:hover,\n",
       ".xr-attrs dt:hover {\n",
       "  overflow: visible;\n",
       "  width: auto;\n",
       "  z-index: 1;\n",
       "}\n",
       "\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  display: none;\n",
       "  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",
       ".xr-index-data-in:checked ~ .xr-index-data {\n",
       "  display: block;\n",
       "}\n",
       "\n",
       ".xr-var-data > table {\n",
       "  float: right;\n",
       "}\n",
       "\n",
       ".xr-var-name span,\n",
       ".xr-var-data,\n",
       ".xr-index-name div,\n",
       ".xr-index-data,\n",
       ".xr-attrs {\n",
       "  padding-left: 25px !important;\n",
       "}\n",
       "\n",
       ".xr-attrs,\n",
       ".xr-var-attrs,\n",
       ".xr-var-data,\n",
       ".xr-index-data {\n",
       "  grid-column: 1 / -1;\n",
       "}\n",
       "\n",
       "dl.xr-attrs {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  display: grid;\n",
       "  grid-template-columns: 125px auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt,\n",
       ".xr-attrs dd {\n",
       "  padding: 0;\n",
       "  margin: 0;\n",
       "  float: left;\n",
       "  padding-right: 10px;\n",
       "  width: auto;\n",
       "}\n",
       "\n",
       ".xr-attrs dt {\n",
       "  font-weight: normal;\n",
       "  grid-column: 1;\n",
       "}\n",
       "\n",
       ".xr-attrs dt:hover span {\n",
       "  display: inline-block;\n",
       "  background: var(--xr-background-color);\n",
       "  padding-right: 10px;\n",
       "}\n",
       "\n",
       ".xr-attrs dd {\n",
       "  grid-column: 2;\n",
       "  white-space: pre-wrap;\n",
       "  word-break: break-all;\n",
       "}\n",
       "\n",
       ".xr-icon-database,\n",
       ".xr-icon-file-text2,\n",
       ".xr-no-icon {\n",
       "  display: inline-block;\n",
       "  vertical-align: middle;\n",
       "  width: 1em;\n",
       "  height: 1.5em !important;\n",
       "  stroke-width: 0;\n",
       "  stroke: currentColor;\n",
       "  fill: currentColor;\n",
       "}\n",
       "</style><pre class='xr-text-repr-fallback'>&lt;xarray.Dataset&gt;\n",
       "Dimensions:  (C_dim_0: 1934, D_dim_0: 1934, U_dim_0: 1934)\n",
       "Coordinates:\n",
       "  * C_dim_0  (C_dim_0) int32 0 1 2 3 4 5 6 ... 1928 1929 1930 1931 1932 1933\n",
       "  * D_dim_0  (D_dim_0) int32 0 1 2 3 4 5 6 ... 1928 1929 1930 1931 1932 1933\n",
       "  * U_dim_0  (U_dim_0) int32 0 1 2 3 4 5 6 ... 1928 1929 1930 1931 1932 1933\n",
       "Data variables:\n",
       "    C        (C_dim_0) int32 0 0 0 0 0 0 0 0 0 0 1 0 ... 1 0 0 0 0 1 0 0 0 0 0 0\n",
       "    D        (D_dim_0) int32 0 0 0 0 0 0 0 0 0 0 ... 60 60 60 60 60 60 60 60 60\n",
       "    U        (U_dim_0) int32 1 1 1 1 1 1 1 1 1 1 1 1 ... 0 0 0 0 0 0 0 0 0 0 0 0\n",
       "Attributes:\n",
       "    created_at:                 2023-02-14T17:07:19.788496\n",
       "    arviz_version:              0.14.0\n",
       "    inference_library:          pymc\n",
       "    inference_library_version:  5.0.1</pre><div class='xr-wrap' style='display:none'><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-6523fe3b-421e-491c-b2ba-8cf1c887bc87' class='xr-section-summary-in' type='checkbox' disabled ><label for='section-6523fe3b-421e-491c-b2ba-8cf1c887bc87' 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'>C_dim_0</span>: 1934</li><li><span class='xr-has-index'>D_dim_0</span>: 1934</li><li><span class='xr-has-index'>U_dim_0</span>: 1934</li></ul></div><div class='xr-section-details'></div></li><li class='xr-section-item'><input id='section-25e12f89-8500-4b97-8c71-78582c88fcf8' class='xr-section-summary-in' type='checkbox'  checked><label for='section-25e12f89-8500-4b97-8c71-78582c88fcf8' 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'>C_dim_0</span></div><div class='xr-var-dims'>(C_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 1930 1931 1932 1933</div><input id='attrs-dff98120-73b8-4bcf-90a4-eb32353db433' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-dff98120-73b8-4bcf-90a4-eb32353db433' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-82cca532-e385-44a1-8707-652711d428a0' class='xr-var-data-in' type='checkbox'><label for='data-82cca532-e385-44a1-8707-652711d428a0' 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, ..., 1931, 1932, 1933])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>D_dim_0</span></div><div class='xr-var-dims'>(D_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 1930 1931 1932 1933</div><input id='attrs-e617d4cc-0d8a-4ec4-b42e-9e26d8952da0' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-e617d4cc-0d8a-4ec4-b42e-9e26d8952da0' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-12f8b9a7-f347-462f-bfd6-ea404df6604b' class='xr-var-data-in' type='checkbox'><label for='data-12f8b9a7-f347-462f-bfd6-ea404df6604b' 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, ..., 1931, 1932, 1933])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span class='xr-has-index'>U_dim_0</span></div><div class='xr-var-dims'>(U_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 1 2 3 4 ... 1930 1931 1932 1933</div><input id='attrs-175473ce-c453-4c22-aa71-a42c98225f5a' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-175473ce-c453-4c22-aa71-a42c98225f5a' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-50caa1a1-2b6a-4778-99e9-0906ba4faede' class='xr-var-data-in' type='checkbox'><label for='data-50caa1a1-2b6a-4778-99e9-0906ba4faede' 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, ..., 1931, 1932, 1933])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-150df1cb-e179-4e78-9f6c-a6193b64b586' class='xr-section-summary-in' type='checkbox'  checked><label for='section-150df1cb-e179-4e78-9f6c-a6193b64b586' class='xr-section-summary' >Data variables: <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>C</span></div><div class='xr-var-dims'>(C_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 0 0 0 0 0 0 0 ... 0 1 0 0 0 0 0 0</div><input id='attrs-0dd52458-5e69-4c64-a5cd-c392d4acf3f1' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-0dd52458-5e69-4c64-a5cd-c392d4acf3f1' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-23b153bb-6cf6-44ca-8727-c78186cc0c76' class='xr-var-data-in' type='checkbox'><label for='data-23b153bb-6cf6-44ca-8727-c78186cc0c76' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([0, 0, 0, ..., 0, 0, 0])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>D</span></div><div class='xr-var-dims'>(D_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>0 0 0 0 0 0 0 ... 60 60 60 60 60 60</div><input id='attrs-c28de0e8-ed5a-4adf-9ccc-137cfb3afbfc' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-c28de0e8-ed5a-4adf-9ccc-137cfb3afbfc' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-9e8b2541-07fb-4671-a30f-f99a36d5ced2' class='xr-var-data-in' type='checkbox'><label for='data-9e8b2541-07fb-4671-a30f-f99a36d5ced2' title='Show/Hide data repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-var-attrs'><dl class='xr-attrs'></dl></div><div class='xr-var-data'><pre>array([ 0,  0,  0, ..., 60, 60, 60])</pre></div></li><li class='xr-var-item'><div class='xr-var-name'><span>U</span></div><div class='xr-var-dims'>(U_dim_0)</div><div class='xr-var-dtype'>int32</div><div class='xr-var-preview xr-preview'>1 1 1 1 1 1 1 1 ... 0 0 0 0 0 0 0 0</div><input id='attrs-4535a98d-619e-4c14-b702-683c46f6204d' class='xr-var-attrs-in' type='checkbox' disabled><label for='attrs-4535a98d-619e-4c14-b702-683c46f6204d' title='Show/Hide attributes'><svg class='icon xr-icon-file-text2'><use xlink:href='#icon-file-text2'></use></svg></label><input id='data-eebc8408-3287-4aba-b643-49b485b8df6b' class='xr-var-data-in' type='checkbox'><label for='data-eebc8408-3287-4aba-b643-49b485b8df6b' 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([1, 1, 1, ..., 0, 0, 0])</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-464f3f21-0821-4340-a4a2-2f6be30ca018' class='xr-section-summary-in' type='checkbox'  ><label for='section-464f3f21-0821-4340-a4a2-2f6be30ca018' class='xr-section-summary' >Indexes: <span>(3)</span></label><div class='xr-section-inline-details'></div><div class='xr-section-details'><ul class='xr-var-list'><li class='xr-var-item'><div class='xr-index-name'><div>C_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-f5b75f7c-3423-41b5-8850-437b1af22372' class='xr-index-data-in' type='checkbox'/><label for='index-f5b75f7c-3423-41b5-8850-437b1af22372' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "            ...\n",
       "            1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;C_dim_0&#x27;, length=1934))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>D_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-1b12aabd-7928-45c3-8b31-109501a27599' class='xr-index-data-in' type='checkbox'/><label for='index-1b12aabd-7928-45c3-8b31-109501a27599' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "            ...\n",
       "            1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;D_dim_0&#x27;, length=1934))</pre></div></li><li class='xr-var-item'><div class='xr-index-name'><div>U_dim_0</div></div><div class='xr-index-preview'>PandasIndex</div><div></div><input id='index-cbfcb2b8-feba-4574-8977-084a7ebaa45d' class='xr-index-data-in' type='checkbox'/><label for='index-cbfcb2b8-feba-4574-8977-084a7ebaa45d' title='Show/Hide index repr'><svg class='icon xr-icon-database'><use xlink:href='#icon-database'></use></svg></label><div class='xr-index-data'><pre>PandasIndex(Int64Index([   0,    1,    2,    3,    4,    5,    6,    7,    8,    9,\n",
       "            ...\n",
       "            1924, 1925, 1926, 1927, 1928, 1929, 1930, 1931, 1932, 1933],\n",
       "           dtype=&#x27;int64&#x27;, name=&#x27;U_dim_0&#x27;, length=1934))</pre></div></li></ul></div></li><li class='xr-section-item'><input id='section-5740f4af-5854-418e-8258-7f329bebd789' class='xr-section-summary-in' type='checkbox'  checked><label for='section-5740f4af-5854-418e-8258-7f329bebd789' class='xr-section-summary' >Attributes: <span>(4)</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>2023-02-14T17:07:19.788496</dd><dt><span>arviz_version :</span></dt><dd>0.14.0</dd><dt><span>inference_library :</span></dt><dd>pymc</dd><dt><span>inference_library_version :</span></dt><dd>5.0.1</dd></dl></div></li></ul></div></div><br></div>\n",
       "                      </ul>\n",
       "                  </div>\n",
       "            </li>\n",
       "            \n",
       "              </ul>\n",
       "            </div>\n",
       "            <style> /* CSS stylesheet for displaying InferenceData 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-sections.group-sections {\n",
       "  grid-template-columns: auto;\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",
       ".xr-wrap{width:700px!important;} </style>"
      ],
      "text/plain": [
       "Inference data with groups:\n",
       "\t> posterior\n",
       "\t> sample_stats\n",
       "\t> observed_data\n",
       "\t> constant_data"
      ]
     },
     "execution_count": 105,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "bangunc_trace"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}