Chp_11.ipynb

{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "import pymc3 as pm\n",
    "import scipy as sp\n",
    "from collections import OrderedDict\n",
    "from theano import shared, tensor as tt\n",
    "\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "plt.style.use(['seaborn-colorblind', 'seaborn-darkgrid'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true
   },
   "source": [
    "#### Code 11.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>case</th>\n",
       "      <th>response</th>\n",
       "      <th>order</th>\n",
       "      <th>id</th>\n",
       "      <th>age</th>\n",
       "      <th>male</th>\n",
       "      <th>edu</th>\n",
       "      <th>action</th>\n",
       "      <th>intention</th>\n",
       "      <th>contact</th>\n",
       "      <th>story</th>\n",
       "      <th>action2</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>cfaqu</td>\n",
       "      <td>4</td>\n",
       "      <td>2</td>\n",
       "      <td>96;434</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>Middle School</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>aqu</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>cfbur</td>\n",
       "      <td>3</td>\n",
       "      <td>31</td>\n",
       "      <td>96;434</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>Middle School</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>bur</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>cfrub</td>\n",
       "      <td>4</td>\n",
       "      <td>16</td>\n",
       "      <td>96;434</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>Middle School</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>rub</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>cibox</td>\n",
       "      <td>3</td>\n",
       "      <td>32</td>\n",
       "      <td>96;434</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>Middle School</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>box</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>cibur</td>\n",
       "      <td>3</td>\n",
       "      <td>4</td>\n",
       "      <td>96;434</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>Middle School</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "      <td>bur</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "    case  response  order      id  age  male            edu  action  \\\n",
       "0  cfaqu         4      2  96;434   14     0  Middle School       0   \n",
       "1  cfbur         3     31  96;434   14     0  Middle School       0   \n",
       "2  cfrub         4     16  96;434   14     0  Middle School       0   \n",
       "3  cibox         3     32  96;434   14     0  Middle School       0   \n",
       "4  cibur         3      4  96;434   14     0  Middle School       0   \n",
       "\n",
       "   intention  contact story  action2  \n",
       "0          0        1   aqu        1  \n",
       "1          0        1   bur        1  \n",
       "2          0        1   rub        1  \n",
       "3          1        1   box        1  \n",
       "4          1        1   bur        1  "
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "trolley_df = pd.read_csv('Data/Trolley.csv', sep=';')\n",
    "trolley_df.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
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jj90hZPPmzRo0aJA6d+6s2NjYUvtn2hKuBGNvL8a/dExbKp/43rcX42+v8jD+1920pZIc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\n9+6VJFWuXNmKdgA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U05YsMG3aNO3atUs7d+7UwYMHJZ27EuFyuRQUFKR169ZJ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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa2133879b0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 257,
       "width": 391
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = (trolley_df.response\n",
    "                .value_counts()\n",
    "                .sort_index()\n",
    "                .plot(kind='bar'))\n",
    "\n",
    "ax.set_xlabel(\"response\", fontsize=14);\n",
    "ax.set_ylabel(\"Frequency\", fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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DRqJ6TZ72M2fOHOzbtw+5ube+0OrflG/M1B9TU1M4OjpiyJAhWLJkSVPbICIi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\nIiI1wfBPRERERKQmGP6JiIiIiNTE/wewHXuiakWTvAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa1cd0b55f8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 261,
       "width": 383
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = (trolley_df.response\n",
    "                .value_counts()\n",
    "                .sort_index()\n",
    "                .cumsum()\n",
    "                .div(trolley_df.shape[0])\n",
    "                .plot(marker='o'))\n",
    "\n",
    "ax.set_xlim(0.9, 7.1);\n",
    "ax.set_xlabel(\"response\", fontsize=14)\n",
    "ax.set_ylabel(\"cumulative proportion\", fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "resp_lco = (trolley_df.response\n",
    "                      .value_counts()\n",
    "                      .sort_index()\n",
    "                      .cumsum()\n",
    "                      .iloc[:-1]\n",
    "                      .div(trolley_df.shape[0])\n",
    "                      .apply(lambda p: np.log(p / (1. - p))))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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RETVrBUoVXt17DYdv3tfUQtzssXl8IFxsuNISUX0xQBAREVGzdS+/FFN3XsGV9AJNbbS/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\n2ALHjRbw078RJwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa1cce6ef60>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 261,
       "width": 392
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = resp_lco.plot(marker='o')\n",
    "\n",
    "ax.set_xlim(0.9, 7);\n",
    "ax.set_xlabel(\"response\", fontsize=14)\n",
    "ax.set_ylabel(\"log-cumulative-odds\", fontsize=14);"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.5"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The following `Ordered` transformation is taken from [PyMC discourse](https://discourse.pymc.io/t/mixture-models-and-breaking-class-symmetry/208/5?u=junpenglao)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Ordered(pm.distributions.transforms.ElemwiseTransform):\n",
    "    name = \"ordered\"\n",
    "\n",
    "    def forward(self, x):\n",
    "        out = tt.zeros(x.shape)\n",
    "        out = tt.inc_subtensor(out[0], x[0])\n",
    "        out = tt.inc_subtensor(out[1:], tt.log(x[1:] - x[:-1]))\n",
    "        return out\n",
    "    \n",
    "    def forward_val(self, x, point=None):\n",
    "        x, = pm.distributions.distribution.draw_values([x], point=point)\n",
    "        return self.forward(x)\n",
    "\n",
    "    def backward(self, y):\n",
    "        out = tt.zeros(y.shape)\n",
    "        out = tt.inc_subtensor(out[0], y[0])\n",
    "        out = tt.inc_subtensor(out[1:], tt.exp(y[1:]))\n",
    "        return tt.cumsum(out)\n",
    "\n",
    "    def jacobian_det(self, y):\n",
    "        return tt.sum(y[1:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as m11_1:\n",
    "    a = pm.Normal(\n",
    "        'a', 0., 10.,\n",
    "        transform=Ordered(),\n",
    "        shape=6, testval=np.arange(6) - 2.5)\n",
    "\n",
    "    pa = pm.math.sigmoid(a)\n",
    "\n",
    "    p_cum = tt.concatenate([[0.], pa, [1.]])\n",
    "    p = p_cum[1:] - p_cum[:-1]\n",
    "    \n",
    "    resp_obs = pm.Categorical(\n",
    "        'resp_obs', p,\n",
    "        observed=trolley_df.response - 1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -18,941, ||grad|| = 0.45229: 100%|██████████| 14/14 [00:00<00:00, 23.21it/s] ]\n"
     ]
    }
   ],
   "source": [
    "with m11_1:\n",
    "    map_11_1 = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([-1.9160707 , -1.26658298, -0.71862013,  0.24778795,  0.88986631,\n",
       "        1.76937289])"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "map_11_1['a']"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.12830038,  0.21984275,  0.32769691,  0.56163196,  0.70886258,\n",
       "        0.85437967])"
      ]
     },
     "execution_count": 11,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.special.expit(map_11_1['a'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 2000/2000 [00:16<00:00, 160.45it/s]\n"
     ]
    }
   ],
   "source": [
    "with m11_1:\n",
    "    trace_11_1 = pm.sample(1000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\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>mc_error</th>\n",
       "      <th>hpd_5.5</th>\n",
       "      <th>hpd_94.5</th>\n",
       "      <th>n_eff</th>\n",
       "      <th>Rhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>a__0</th>\n",
       "      <td>-1.92</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.97</td>\n",
       "      <td>-1.87</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a__1</th>\n",
       "      <td>-1.27</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-1.31</td>\n",
       "      <td>-1.23</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a__2</th>\n",
       "      <td>-0.72</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>-0.75</td>\n",
       "      <td>-0.69</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a__3</th>\n",
       "      <td>0.25</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.21</td>\n",
       "      <td>0.28</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a__4</th>\n",
       "      <td>0.89</td>\n",
       "      <td>0.02</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.86</td>\n",
       "      <td>0.92</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a__5</th>\n",
       "      <td>1.77</td>\n",
       "      <td>0.03</td>\n",
       "      <td>0.0</td>\n",
       "      <td>1.73</td>\n",
       "      <td>1.82</td>\n",
       "      <td>2000.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      mean    sd  mc_error  hpd_5.5  hpd_94.5   n_eff  Rhat\n",
       "a__0 -1.92  0.03       0.0    -1.97     -1.87  2000.0   1.0\n",
       "a__1 -1.27  0.02       0.0    -1.31     -1.23  2000.0   1.0\n",
       "a__2 -0.72  0.02       0.0    -0.75     -0.69  2000.0   1.0\n",
       "a__3  0.25  0.02       0.0     0.21      0.28  2000.0   1.0\n",
       "a__4  0.89  0.02       0.0     0.86      0.92  2000.0   1.0\n",
       "a__5  1.77  0.03       0.0     1.73      1.82  2000.0   1.0"
      ]
     },
     "execution_count": 13,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.df_summary(trace_11_1, varnames=['a'], alpha=.11).round(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def ordered_logistic_proba(a):\n",
    "    pa = sp.special.expit(a)\n",
    "    p_cum = np.concatenate(([0.], pa, [1.]))\n",
    "    \n",
    "    return p_cum[1:] - p_cum[:-1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.12753048,  0.09170783,  0.10820073,  0.2341595 ,  0.14767958,\n",
       "        0.14570807,  0.14501382])"
      ]
     },
     "execution_count": 15,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ordered_logistic_proba(trace_11_1['a'].mean(axis=0))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.1999293593514384"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(ordered_logistic_proba(trace_11_1['a'].mean(axis=0)) \\\n",
    "     * (1 + np.arange(7))).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.08143763,  0.06409094,  0.08244469,  0.20927244,  0.15948963,\n",
       "        0.18473514,  0.21852952])"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ordered_logistic_proba(trace_11_1['a'].mean(axis=0) - 0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "4.7296090400791702"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(ordered_logistic_proba(trace_11_1['a'].mean(axis=0) - 0.5) \\\n",
    "     * (1 + np.arange(7))).sum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.13"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "action = shared(trolley_df.action.values)\n",
    "intention = shared(trolley_df.intention.values)\n",
    "contact = shared(trolley_df.contact.values)\n",
    "\n",
    "with pm.Model() as m11_2:\n",
    "    a = pm.Normal(\n",
    "        'a', 0., 10.,\n",
    "        transform=Ordered(),\n",
    "        shape=6,\n",
    "        testval=trace_11_1['a'].mean(axis=0)\n",
    "    )\n",
    "    \n",
    "    bA = pm.Normal('bA', 0., 10.)\n",
    "    bI = pm.Normal('bI', 0., 10.)\n",
    "    bC = pm.Normal('bC', 0., 10.)\n",
    "    phi = bA * action + bI * intention + bC * contact\n",
    "\n",
    "    pa = pm.math.sigmoid(\n",
    "        tt.shape_padleft(a) - tt.shape_padright(phi)\n",
    "    )\n",
    "    p_cum = tt.concatenate([\n",
    "        tt.zeros_like(tt.shape_padright(pa[:, 0])),\n",
    "        pa,\n",
    "        tt.ones_like(tt.shape_padright(pa[:, 0]))\n",
    "    ], axis=1)\n",
    "    p = p_cum[:, 1:] - p_cum[:, :-1]\n",
    "    \n",
    "    resp_obs = pm.Categorical(\n",
    "        'resp_obs', p,\n",
    "        observed=trolley_df.response - 1\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -18,565, ||grad|| = 3.7472: 100%|██████████| 17/17 [00:00<00:00, 58.64it/s]  \n"
     ]
    }
   ],
   "source": [
    "with m11_2:\n",
    "    map_11_2 = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as m11_3:\n",
    "    a = pm.Normal(\n",
    "        'a', 0., 10.,\n",
    "        transform=Ordered(),\n",
    "        shape=6,\n",
    "        testval=trace_11_1['a'].mean(axis=0)\n",
    "    )\n",
    "    \n",
    "    bA = pm.Normal('bA', 0., 10.)\n",
    "    bI = pm.Normal('bI', 0., 10.)\n",
    "    bC = pm.Normal('bC', 0., 10.)\n",
    "    bAI = pm.Normal('bAI', 0., 10.)\n",
    "    bCI = pm.Normal('bCI', 0., 10.)\n",
    "    phi = phi = bA * action + bI * intention + bC * contact \\\n",
    "            + bAI * action * intention \\\n",
    "            + bCI * contact * intention\n",
    "\n",
    "    pa = pm.math.sigmoid(\n",
    "        tt.shape_padleft(a) - tt.shape_padright(phi)\n",
    "    )\n",
    "    p_cum = tt.concatenate([\n",
    "        tt.zeros_like(tt.shape_padright(pa[:, 0])),\n",
    "        pa,\n",
    "        tt.ones_like(tt.shape_padright(pa[:, 0]))\n",
    "    ], axis=1)\n",
    "    p = p_cum[:, 1:] - p_cum[:, :-1]\n",
    "    \n",
    "    resp_obs = pm.Categorical(\n",
    "        'resp_obs', p,\n",
    "        observed=trolley_df.response - 1\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -18,489, ||grad|| = 0.91902: 100%|██████████| 26/26 [00:00<00:00, 110.84it/s]  \n"
     ]
    }
   ],
   "source": [
    "with m11_3:\n",
    "    map_11_3 = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def get_coefs(map_est):\n",
    "    coefs = OrderedDict()\n",
    "    \n",
    "    for i, ai in enumerate(map_est['a']):\n",
    "        coefs['a_{}'.format(i)] = ai\n",
    "        \n",
    "    coefs['bA'] = map_est.get('bA', np.nan)\n",
    "    coefs['bI'] = map_est.get('bI', np.nan)\n",
    "    coefs['bC'] = map_est.get('bC', np.nan)\n",
    "    coefs['bAI'] = map_est.get('bAI', np.nan)\n",
    "    coefs['bCI'] = map_est.get('bCI', np.nan)\n",
    "        \n",
    "    return coefs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>m11_1</th>\n",
       "      <th>m11_2</th>\n",
       "      <th>m11_3</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>a_0</th>\n",
       "      <td>-1.92</td>\n",
       "      <td>-2.84</td>\n",
       "      <td>-2.63</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a_1</th>\n",
       "      <td>-1.27</td>\n",
       "      <td>-2.16</td>\n",
       "      <td>-1.94</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a_2</th>\n",
       "      <td>-0.72</td>\n",
       "      <td>-1.57</td>\n",
       "      <td>-1.34</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a_3</th>\n",
       "      <td>0.25</td>\n",
       "      <td>-0.55</td>\n",
       "      <td>-0.31</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a_4</th>\n",
       "      <td>0.89</td>\n",
       "      <td>0.12</td>\n",
       "      <td>0.36</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>a_5</th>\n",
       "      <td>1.77</td>\n",
       "      <td>1.02</td>\n",
       "      <td>1.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bA</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.71</td>\n",
       "      <td>-0.47</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bAI</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.45</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bC</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.96</td>\n",
       "      <td>-0.33</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bCI</th>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>-1.27</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>bI</th>\n",
       "      <td>NaN</td>\n",
       "      <td>-0.72</td>\n",
       "      <td>-0.28</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     m11_1  m11_2  m11_3\n",
       "a_0  -1.92  -2.84  -2.63\n",
       "a_1  -1.27  -2.16  -1.94\n",
       "a_2  -0.72  -1.57  -1.34\n",
       "a_3   0.25  -0.55  -0.31\n",
       "a_4   0.89   0.12   0.36\n",
       "a_5   1.77   1.02   1.27\n",
       "bA     NaN  -0.71  -0.47\n",
       "bAI    NaN    NaN  -0.45\n",
       "bC     NaN  -0.96  -0.33\n",
       "bCI    NaN    NaN  -1.27\n",
       "bI     NaN  -0.72  -0.28"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "(pd.DataFrame.from_dict(\n",
    "    OrderedDict([\n",
    "        ('m11_1', get_coefs(map_11_1)),\n",
    "        ('m11_2', get_coefs(map_11_2)),\n",
    "        ('m11_3', get_coefs(map_11_3))\n",
    "    ]))\n",
    "   .astype(np.float64)\n",
    "   .round(2))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 2000/2000 [03:19<00:00,  7.63it/s]\n"
     ]
    }
   ],
   "source": [
    "with m11_2:\n",
    "    trace_11_2 = pm.sample(1000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 2000/2000 [04:16<00:00,  7.37it/s]\n"
     ]
    }
   ],
   "source": [
    "with m11_3:\n",
    "    trace_11_3 = pm.sample(1000, tune=1000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>WAIC</th>\n",
       "      <th>pWAIC</th>\n",
       "      <th>dWAIC</th>\n",
       "      <th>weight</th>\n",
       "      <th>SE</th>\n",
       "      <th>dSE</th>\n",
       "      <th>warning</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>model</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>m11.3</th>\n",
       "      <td>36929</td>\n",
       "      <td>10.88</td>\n",
       "      <td>0</td>\n",
       "      <td>0.95</td>\n",
       "      <td>81.38</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m11.2</th>\n",
       "      <td>37090.3</td>\n",
       "      <td>9.16</td>\n",
       "      <td>161.28</td>\n",
       "      <td>0</td>\n",
       "      <td>76.42</td>\n",
       "      <td>25.88</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m11.1</th>\n",
       "      <td>37854.4</td>\n",
       "      <td>5.94</td>\n",
       "      <td>925.44</td>\n",
       "      <td>0.05</td>\n",
       "      <td>57.69</td>\n",
       "      <td>62.95</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          WAIC  pWAIC   dWAIC weight     SE    dSE warning\n",
       "model                                                     \n",
       "m11.3    36929  10.88       0   0.95  81.38      0       0\n",
       "m11.2  37090.3   9.16  161.28      0  76.42  25.88       0\n",
       "m11.1  37854.4   5.94  925.44   0.05  57.69  62.95       0"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "comp_df = pm.compare([trace_11_1, trace_11_2, trace_11_3],\n",
    "                     [m11_1, m11_2, m11_3])\n",
    "\n",
    "comp_df.loc[:,'model'] = pd.Series(['m11.1', 'm11.2', 'm11.3'])\n",
    "comp_df = comp_df.set_index('model')\n",
    "comp_df"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.17-19"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pp_df = pd.DataFrame(\n",
    "    np.array([[0, 0, 0],\n",
    "              [0, 0, 1],\n",
    "              [1, 0, 0],\n",
    "              [1, 0, 1],\n",
    "              [0, 1, 0],\n",
    "              [0, 1, 1]]),\n",
    "    columns=['action', 'contact', 'intention'])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>action</th>\n",
       "      <th>contact</th>\n",
       "      <th>intention</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "   action  contact  intention\n",
       "0       0        0          0\n",
       "1       0        0          1\n",
       "2       1        0          0\n",
       "3       1        0          1\n",
       "4       0        1          0\n",
       "5       0        1          1"
      ]
     },
     "execution_count": 29,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pp_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1500/1500 [00:17<00:00, 87.99it/s] \n"
     ]
    }
   ],
   "source": [
    "action.set_value(pp_df.action.values)\n",
    "contact.set_value(pp_df.contact.values)\n",
    "intention.set_value(pp_df.intention.values)\n",
    "\n",
    "with m11_3:\n",
    "    pp_trace_11_3 = pm.sample_ppc(trace_11_3, samples=1500)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "PP_COLS = ['pp_{}'.format(i) for i, _ in enumerate(pp_trace_11_3['resp_obs'])]\n",
    "\n",
    "pp_df = pd.concat((pp_df,\n",
    "                   pd.DataFrame(pp_trace_11_3['resp_obs'].T, columns=PP_COLS)),\n",
    "                  axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "pp_cum_df = (pd.melt(\n",
    "                    pp_df,\n",
    "                    id_vars=['action', 'contact', 'intention'],\n",
    "                    value_vars=PP_COLS, value_name='resp'\n",
    "                )\n",
    "               .groupby(['action', 'contact', 'intention', 'resp'])\n",
    "               .size()\n",
    "               .div(1500)\n",
    "               .rename('proba')\n",
    "               .reset_index()\n",
    "               .pivot_table(\n",
    "                   index=['action', 'contact', 'intention'],\n",
    "                   values='proba',\n",
    "                   columns='resp'\n",
    "                )\n",
    "               .cumsum(axis=1)\n",
    "               .iloc[:, :-1])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th>resp</th>\n",
       "      <th>0</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>action</th>\n",
       "      <th>contact</th>\n",
       "      <th>intention</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th rowspan=\"4\" valign=\"top\">0</th>\n",
       "      <th rowspan=\"2\" valign=\"top\">0</th>\n",
       "      <th>0</th>\n",
       "      <td>0.069333</td>\n",
       "      <td>0.128000</td>\n",
       "      <td>0.208000</td>\n",
       "      <td>0.418667</td>\n",
       "      <td>0.568667</td>\n",
       "      <td>0.757333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.076667</td>\n",
       "      <td>0.145333</td>\n",
       "      <td>0.238667</td>\n",
       "      <td>0.470000</td>\n",
       "      <td>0.648000</td>\n",
       "      <td>0.818667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"2\" valign=\"top\">1</th>\n",
       "      <th>0</th>\n",
       "      <td>0.089333</td>\n",
       "      <td>0.171333</td>\n",
       "      <td>0.266667</td>\n",
       "      <td>0.514667</td>\n",
       "      <td>0.687333</td>\n",
       "      <td>0.838000</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.330000</td>\n",
       "      <td>0.484667</td>\n",
       "      <td>0.642000</td>\n",
       "      <td>0.834667</td>\n",
       "      <td>0.906667</td>\n",
       "      <td>0.956667</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th rowspan=\"2\" valign=\"top\">1</th>\n",
       "      <th rowspan=\"2\" valign=\"top\">0</th>\n",
       "      <th>0</th>\n",
       "      <td>0.109333</td>\n",
       "      <td>0.191333</td>\n",
       "      <td>0.286667</td>\n",
       "      <td>0.544000</td>\n",
       "      <td>0.705333</td>\n",
       "      <td>0.861333</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>0.179333</td>\n",
       "      <td>0.308000</td>\n",
       "      <td>0.466667</td>\n",
       "      <td>0.697333</td>\n",
       "      <td>0.822000</td>\n",
       "      <td>0.916667</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "resp                             0         1         2         3         4  \\\n",
       "action contact intention                                                     \n",
       "0      0       0          0.069333  0.128000  0.208000  0.418667  0.568667   \n",
       "               1          0.076667  0.145333  0.238667  0.470000  0.648000   \n",
       "       1       0          0.089333  0.171333  0.266667  0.514667  0.687333   \n",
       "               1          0.330000  0.484667  0.642000  0.834667  0.906667   \n",
       "1      0       0          0.109333  0.191333  0.286667  0.544000  0.705333   \n",
       "               1          0.179333  0.308000  0.466667  0.697333  0.822000   \n",
       "\n",
       "resp                             5  \n",
       "action contact intention            \n",
       "0      0       0          0.757333  \n",
       "               1          0.818667  \n",
       "       1       0          0.838000  \n",
       "               1          0.956667  \n",
       "1      0       0          0.861333  \n",
       "               1          0.916667  "
      ]
     },
     "execution_count": 33,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pp_cum_df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "data": {
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UAwAAAABgEkI5AAAAAAAmIZQDAAAAAGASQjkAAAAAACYhlAMAAAAAYBJCOQAA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\n3HGH6urqbCUtpmlq0KBBuvfee3XJJZek85K9ioX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CsaVN9DHhWeHwtWKHVnvgtvch12/I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\ngqM1YHX3kRyRYCjLueIFwSRWYo0KhtYgaCmtTSY4+mIEwa48kiPTgiM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gM844I2GbXsl7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      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa19b58aef0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 382,
       "width": 498
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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bTdwhm5WAjdmPUA4AAADMQoZhKJLMmOF5bOfwwr3Z+duC0ekpE3faLKU7iOc+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aPIDg6Imhuxra61qMvPvW4B6xpsMFWwEzoRlQ6GciKiOeYPx9WmbLt6gzilMYRPVMIFdvolorIx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\n/39weErX/u1vLR3b4anRqb+8Ke+x//fVc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vbv368NGzbo5z//uU6fPq0vfvGLBY2fAhZj\nMdfyL3/5Sx0+fFh2u11OpzPzfK7m5mZ9+MMfXpafBWvXYt+TgZVisdfy5z//efX39+vb3/62Xnzx\nRe3YsUPPP/+8XnvtNd1888266aablvtHwhq1mGu5qalJX/ziF/WFL3xBt9xyi/bt26e6ujq98MIL\nOnLkiN785jfzYSlWlFLlPZthGMaiX6XMxWIxPfLII3ryySc1Pj6uzs7O/7+9uwmJsuvjOP4Tnqmb\nzGjhKDRa0QvjRossQSqDGMwKtTE3lgbiCxUzYNkixV7BNoYIKiURlZmLMrM2WWESJJrUIiS0kgo1\ngjIrNV8q7Vn0OE/e6l1aetnc38/yzDn+/xcMwm/Oda5LUVFRSklJGfb4+6FbxR4/fjxsfXt7u3Jz\nc1VdXa3e3l4tWrRISUlJ/PKHKTfR73J2draKi4v/8W8HBATo6tWrk9c88D+/+j/576Kjo9XU1PTD\necDv9qvf5Xfv3qmwsFC3bt1SR0eHLBaLYmNjlZiYyLudMaV+9btcV1enU6dO6eHDh+rr65O/v78i\nIyOVnJw85qumgMlSXl6ujIwMZWRkjPhRyKi8RygHAAAAAMAg//oz5QAAAAAAGIVQDgAAAACAQQjl\nAAAAAAAYhFAOAAAAAIBBCOUAAAAAABiEUA4AAAAAgEEI5QAAAAAAGIRQDgAAAACAQQjlAAAAAAAY\nhFAOAAAAAIBBCOUAAAAAABiEUA4AwDSyf/9+Wa1WNTY2jnvtwMCASkpK1NPTMwmdjdTV1aWSkpJh\nYwkJCbJarers7JySHgAA+NP9x+gGAADA/9lsNlksFnl7e497bXp6uq5fv66oqKhJ6GykDRs2yGw2\nKz4+3jVmt9sVEhKimTNnTkkPAAD86QjlAABMIzabTTabbUJr3759+5u7+XE9s9k8bCwmJmZKewAA\n4E/H7esAAAAAABiEUA4AwDTy/ZnytrY2Wa1W5efnq6qqSrGxsQoKClJoaKiysrLU0dHhWme1WlVf\nXy9JWrVqlRISElyfffr0SUVFRdq0aZMCAwMVGhqq9PR0tba2DqtdXl4uq9Wq2tpanT59WuHh4QoM\nDJTNZtOJEyc0MDAgSbp3756sVqskqampydWjNPqZ8sHBQZWWlmrLli0KCgpScHCwEhMTVVNTM6z+\neK4XAAB3QSgHAGCaq66ulsPhkNlsVkJCgnx9fXXp0iXt3bvXNcfhcMhisUiSUlJSZLfbJUmfP39W\nSkqKcnNz5enpqfj4eK1du1Y3b95UbGysnjx5MqJeTk6OCgoKFBwcrG3btqmvr095eXkqKiqSJFks\nFjkcDkmSt7e3HA6HQkJCRu19cHBQe/bs0ZEjR9Td3a2tW7fKZrOpoaFBSUlJunDhwoSuFwAAd8GZ\ncgAAprlHjx4pLy9PGzdulCSlpaXJbrertrZWLS0tmj9/vpxOp+rr6/Xy5UulpqZqzpw5kqRz586p\nrq5OycnJ2rdvnzw8PCR929GOi4tTZmamysrKhtVraWlRRUWFFixY4JobERGhixcvavfu3fLz85PT\n6VRBQYG8vb3ldDrH7P3atWuqrKzUmjVrlJ+fr1mzZkmSWltbFRcXp2PHjiksLEz+/v7jul4AANwF\nO+UAAExz/v7+roAqSSaTSaGhoZKkFy9e/OPasrIyeXl5KS0tzRXIJSkwMFARERFqaGjQ06dPh60J\nDw93BXJJ8vPz0+LFi/Xq1Sv19/ePq/crV65Ikg4fPuwK5EPXtGvXLn358kUVFRW/7XoBAPjTsFMO\nAMA0t3DhwhFjXl5ekr6dFx/Lx48f9fz5c5nNZp08eXLE5+3t7ZKkxsZGLV269Kfrjed1Z01NTfL1\n9R22Ez4kODjYNed7E71eAAD+RIRyAACmuRkzZowY+37Xeyzd3d2SpDdv3qigoGDMeR8+fPjpel+/\nfv1h3b/3MNY71318fCRJfX19P10fAAB3QygHAMBNDd0uvnLlylEfqDYVPD099fr161E/G/oxYO7c\nuVPZEgAA0wpnygEAcFNeXl6aN2+empubR+xGS1JFRYXy8/PV1tY2aT0EBASos7Nz1Ke8379/X5K0\nZMmSSasPAMB0RygHAMBNmEwmSd9egzbEbrfr/fv3On78uAYHB13jzc3NOnr0qM6cOTPhnWqTyTSs\n1mhiYmIkSdnZ2erp6XGNt7a2qrCwUCaTSZs3b55QfQAA3AG3rwMA4CZ8fX0lSZmZmVq9erV27Nih\n1NRU3b17V+fPn9eDBw8UEhKizs5OVVZWqre3Vzk5OZo9e/aE6vn4+OjZs2c6dOiQ1q1bp/Xr14+Y\nEx0drdu3b+vGjRuKiopSWFiYenp6VFVVpa6uLh04cIBXnAEA/tXYKQcAwE3s3LlTy5YtU01NjesM\n+V9//aXi4mI5nU719/ertLRUd+7c0YoVK1RcXKzIyMgJ1zt48KD8/Px0+fJlVVVVjTrHw8NDeXl5\nysrKkqenp8rKylRdXa3ly5fr7Nmz2r59+4TrAwDgDjy+jvcxqgAAAAAA4LdgpxwAAAAAAIMQygEA\nAAAAMAihHAAAAAAAgxDKAQAAAAAwCKEcAAAAAACDEMoBAAAAADAIoRwAAAAAAIMQygEAAAAAMAih\nHAAAAAAAgxDKAQAAAAAwCKEcAAAAAACDEMoBAAAAADAIoRwAAAAAAIMQygEAAAAAMAihHAAAAAAA\ngxDKAQAAAAAwCKEcAAAAAACD/Bc9exAnmkP6YwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa19b58a4a8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 382,
       "width": 498
      }
     },
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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KeFz5tca5Jly5xltFlWFLky5rxTkXqPt6j1yg9rrdOx8QUCGEcgAAAFQ10zSV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H4QFRWl4OBgBQQE3HLsvHnztHv3bsXGxrohs8aio6MVGBiop59+2joWHx+vyMhIdezY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\nAAAAAACYhKYcAAAAAACT/B/OwLhvK1X1sQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa1a4139278>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 382,
       "width": 498
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "for (plot_action, plot_contact), plot_df in pp_cum_df.groupby(level=['action', 'contact']):\n",
    "    fig, ax = plt.subplots(figsize=(8, 6))\n",
    "    \n",
    "    ax.plot([0, 1], plot_df, c='C0');\n",
    "    ax.plot([0, 1], [0, 0], '--', c='C0');\n",
    "    ax.plot([0, 1], [1, 1], '--', c='C0');\n",
    "    \n",
    "    ax.set_xlim(0, 1);\n",
    "    ax.set_xlabel(\"intention\");\n",
    "    \n",
    "    ax.set_ylim(-0.05, 1.05);\n",
    "    ax.set_ylabel(\"probability\");\n",
    "    \n",
    "    ax.set_title(\n",
    "        \"action = {action}, contact = {contact}\".format(\n",
    "            action=plot_action, contact=plot_contact\n",
    "        )\n",
    "    );"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# define parameters\n",
    "PROB_DRINK = 0.2 # 20% of days\n",
    "RATE_WORK = 1. # average 1 manuscript per day\n",
    "\n",
    "# sample one year of production\n",
    "N = 365"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "drink = np.random.binomial(1, PROB_DRINK, size=N)\n",
    "y = (1 - drink) * np.random.poisson(RATE_WORK, size=N)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.21"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "drink_zeros = drink.sum()\n",
    "work_zeros = (y == 0).sum() - drink_zeros"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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f9H/iiSfUsWNHdezYUc8++6w9tFcXYQC3lby8PElSUFCQ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\niIg4KAUDIiIiIiIO6v8AWRDqVJDef+cAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa1bc746128>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 258,
       "width": 385
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "bins = np.arange(y.max() + 1) - 0.5\n",
    "\n",
    "plt.hist(y, bins=bins);\n",
    "plt.bar(0., drink_zeros, width=1., bottom=work_zeros, color='C1', alpha=.5);\n",
    "\n",
    "plt.xticks(bins + 0.5);\n",
    "plt.xlabel(\"manuscripts completed\");\n",
    "\n",
    "plt.ylabel(\"Frequency\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.22"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "with pm.Model() as m11_4:\n",
    "    ap = pm.Normal('ap', 0., 1.)\n",
    "    p = pm.math.sigmoid(ap)\n",
    "    \n",
    "    al = pm.Normal('al', 0., 10.)\n",
    "    lambda_ = tt.exp(al)\n",
    "    \n",
    "    y_obs = pm.ZeroInflatedPoisson('y_obs', 1. - p, lambda_, observed=y)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "logp = -462.79, ||grad|| = 0.00047532: 100%|██████████| 12/12 [00:00<00:00, 211.49it/s]s]\n"
     ]
    }
   ],
   "source": [
    "with m11_4:\n",
    "    map_11_4 = pm.find_MAP()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'al': array(0.05019473453063987), 'ap': array(-1.426975323508402)}"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "map_11_4"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.23"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0.19357040138820736"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp.special.expit(map_11_4['ap']) # probability drink"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "1.0514758350937541"
      ]
     },
     "execution_count": 43,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.exp(map_11_4['al']) # rate finish manuscripts, when not drinking"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def dzip(x, p, lambda_, log=True):\n",
    "    like = p**(x == 0) + (1 - p) * sp.stats.poisson.pmf(x, lambda_)\n",
    "    \n",
    "    return np.log(like) if log else like"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.25"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "PBAR = 0.5\n",
    "THETA = 5."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "a = PBAR * THETA\n",
    "b = (1 - PBAR) * THETA"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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rwJydCUJ7ZPuWePf+diJWRER30s3bBV+P6YQbCy4fSSvE67sSuPQrkZljiCAi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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa195226eb8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 258,
       "width": 392
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = np.linspace(0, 1, 100)\n",
    "\n",
    "plt.plot(p, sp.stats.beta.pdf(p, a, b));\n",
    "\n",
    "plt.xlim(0, 1);\n",
    "plt.xlabel(\"probability\");\n",
    "\n",
    "plt.ylabel(\"Density\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.26"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>dept</th>\n",
       "      <th>applicant.gender</th>\n",
       "      <th>admit</th>\n",
       "      <th>reject</th>\n",
       "      <th>applications</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>A</td>\n",
       "      <td>male</td>\n",
       "      <td>512</td>\n",
       "      <td>313</td>\n",
       "      <td>825</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>A</td>\n",
       "      <td>female</td>\n",
       "      <td>89</td>\n",
       "      <td>19</td>\n",
       "      <td>108</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>B</td>\n",
       "      <td>male</td>\n",
       "      <td>353</td>\n",
       "      <td>207</td>\n",
       "      <td>560</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>B</td>\n",
       "      <td>female</td>\n",
       "      <td>17</td>\n",
       "      <td>8</td>\n",
       "      <td>25</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>C</td>\n",
       "      <td>male</td>\n",
       "      <td>120</td>\n",
       "      <td>205</td>\n",
       "      <td>325</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "  dept applicant.gender  admit  reject  applications\n",
       "1    A             male    512     313           825\n",
       "2    A           female     89      19           108\n",
       "3    B             male    353     207           560\n",
       "4    B           female     17       8            25\n",
       "5    C             male    120     205           325"
      ]
     },
     "execution_count": 48,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "admit_df = pd.read_csv('Data/UCBadmit.csv', sep=';')\n",
    "admit_df.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {
    "collapsed": true,
    "scrolled": false
   },
   "outputs": [],
   "source": [
    "with pm.Model() as m11_5:\n",
    "    a = pm.Normal('a', 0., 2.)\n",
    "    pbar = pm.Deterministic('pbar', pm.math.sigmoid(a))\n",
    "\n",
    "    theta = pm.Exponential('theta', 1.)\n",
    "    \n",
    "    admit_obs = pm.BetaBinomial(\n",
    "        'admit_obs',\n",
    "        pbar * theta, (1. - pbar) * theta,\n",
    "        admit_df.applications.values,\n",
    "        observed=admit_df.admit.values\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "Auto-assigning NUTS sampler...\n",
      "Initializing NUTS using jitter+adapt_diag...\n",
      "100%|██████████| 2000/2000 [00:02<00:00, 718.29it/s]\n"
     ]
    }
   ],
   "source": [
    "with m11_5:\n",
    "    trace_11_5 = pm.sample(1000, tune=1000)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.27"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\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>mc_error</th>\n",
       "      <th>hpd_5.5</th>\n",
       "      <th>hpd_94.5</th>\n",
       "      <th>n_eff</th>\n",
       "      <th>Rhat</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>a</th>\n",
       "      <td>-0.37</td>\n",
       "      <td>0.31</td>\n",
       "      <td>0.01</td>\n",
       "      <td>-0.86</td>\n",
       "      <td>0.12</td>\n",
       "      <td>1860.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>pbar</th>\n",
       "      <td>0.41</td>\n",
       "      <td>0.07</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.30</td>\n",
       "      <td>0.53</td>\n",
       "      <td>1863.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>theta</th>\n",
       "      <td>2.78</td>\n",
       "      <td>0.99</td>\n",
       "      <td>0.02</td>\n",
       "      <td>1.25</td>\n",
       "      <td>4.22</td>\n",
       "      <td>1641.0</td>\n",
       "      <td>1.0</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       mean    sd  mc_error  hpd_5.5  hpd_94.5   n_eff  Rhat\n",
       "a     -0.37  0.31      0.01    -0.86      0.12  1860.0   1.0\n",
       "pbar   0.41  0.07      0.00     0.30      0.53  1863.0   1.0\n",
       "theta  2.78  0.99      0.02     1.25      4.22  1641.0   1.0"
      ]
     },
     "execution_count": 51,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pm.summary(trace_11_5, alpha=.11).round(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.28"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "array([ 0.28260569,  0.40670155,  0.56068546])"
      ]
     },
     "execution_count": 52,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.percentile(trace_11_5['pbar'], [2.5, 50., 97.5])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.29"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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GwGCfGAGsNWn8VL2wohlR5VVR+rh3xqDeZQAAAtNeVIsmE7GUiIiIiGj5xEUZA8yfWLQs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4lG7ykER6jrjrtSO3mbO1xf01aScKLZArINcapRGYGN0JLrnmRUrkpQJYdN7oUlAeAng8enfZ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eTdRL7mCREO5Pw+AQMnIT9lxrIT+TogRYI6ZCm8XJRkbfqYItY2Yd2TelCecnSBCI0rG9Bo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\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yyXta0dtZmymLIZD3ciHWjcOjJBmnCW0XBcvpRpmaLBe5m0m3EICe8qPixH+zOBCDf8hW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\nEREREUGBgYiIiIiIAP8HAyejY7K3WEEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa194f350f0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 262,
       "width": 387
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pbar_hat = trace_11_5['pbar'].mean()\n",
    "theta_hat = trace_11_5['theta'].mean()\n",
    "\n",
    "p_plot = np.linspace(0, 1, 100)\n",
    "\n",
    "plt.plot(\n",
    "    p_plot,\n",
    "    sp.stats.beta.pdf(p_plot, pbar_hat * theta_hat, (1. - pbar_hat) * theta_hat)\n",
    ");\n",
    "plt.plot(\n",
    "    p_plot,\n",
    "    sp.stats.beta.pdf(\n",
    "        p_plot[:, np.newaxis],\n",
    "        trace_11_5['pbar'][:100] * trace_11_5['theta'][:100],\n",
    "        (1. - trace_11_5['pbar'][:100]) * trace_11_5['theta'][:100]\n",
    "    ),\n",
    "    c='C0', alpha=0.1\n",
    ");\n",
    "\n",
    "plt.xlim(0., 1.);\n",
    "plt.xlabel(\"probability admit\");\n",
    "\n",
    "plt.ylim(0., 3.);\n",
    "plt.ylabel(\"Density\");"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.30"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:02<00:00, 355.73it/s]\n"
     ]
    }
   ],
   "source": [
    "with m11_5:\n",
    "    pp_trace_11_5 = pm.sample_ppc(trace_11_5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Wfn5+tc+LiopUUFCgvn37hmx74YUXStJZbSXpu+++U1lZmZKSksItEQAAALBV2KF79OjR\nkqQFCxbI5/NJkvx+v7Kzs+X3+5WRkRGy7ZAhQ9SyZUstX75cX331VeXnp0+f1tNPPy2/368f//jH\n4ZYIAAAA2Crsl+MMGjRII0aM0Nq1a5WRkaEBAwZox44dys3NVXp6uq655prK7z733HOSpKlTp0o6\nc6f7kUce0a9+9SvdeOONSk9P1/nnn6+tW7cqLy9P/fv318SJE8MtEQAAALCVy98Ia/JVVFRoyZIl\nWr16tYqKipScnKxRo0Zp0qRJ1ZYT7NGjhyRp9+7d1dpv3bpVL7/8snbu3KmTJ0+qQ4cOGjlypO67\n776QyxFWVVzsCbcLjYqniJ2F8XIexsxZGC/nYcychfGKrIauXtIoodtuhG6Eg/FyHsbMWRgv52HM\nnIXxiixblgwEAAAAUDdCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFC\nNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3\nAAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcA\nAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAAAGAxQjcAAABgMUI3AAAAYDFCNwAA\nAGAxQjcAAABgMUI3AAAAYLFYuwsA0PjyPIe1qSRfHm+54mOba3BSF/WMb2d3WQAANFmEbsAgOSV7\nNX9PjraUFpy1bWBiJ2WlpiktqasNlQEA0LQxvQQwxIr92zVm6/KggVuStpQWaMzW5Xpj/44IVwYA\nAAjdgAFySvYqa9e78slf6/d88itz15+VU7I3QpUBAACJ0A0YYf6enDoDd4BPfmXvybG4IgAAUBWh\nG3C4PM/hkFNKQtlcWqA8z2GLKgIAADURugGH21SSH9F2AADg3BG6AYfzeMsj2g4AAJw7QjfgcPGx\nzSPaDgAAnDtCN+Bwg5O6RLQdAAA4d4RuwOF6xrfTwMRO59RmUGIn3lAJAEAEEboBA2SlpsktV72+\n65ZLmalpFlcEAACqInQDBkhL6qr5fW6oM3i75VJ2n5G8Ch4AgAiLtbsAAI3jzo6XqUOrBGXvydHm\nIOt2D0rspMzUNAI3AAA2IHQDBklL6qq0pK7K8xzWppJ8ebzlio9trsFJXZjDDQCAjQjdgIF6xrcj\nZAMAEEWY0w0AAABYjNANAAAAWIzQDQAAAFiM0A0AAABYjNANAAAAWIzVS9Ck5XkOK/fQAR2pOKlm\nXjdL6wEAAEsQutEk5ZTs1fw9OdoS5CUyAxM7KYuXyAAAgEbE9BI0OSv2b9eYrcuDBm5J2lJaoDFb\nl+uN/TsiXBkAADAVoRtNSk7JXmXtelc++Wv9nk9+Ze76s3JK9kaoMgAAYDKmlzQy5ghHt/l7cuoM\n3AE++ZW9J4dpJgAAIGyE7kbCHOHol+c5HHJKSSibSwuU5znMhRMAAAgL00saAXOEnWFTSX5E2wEA\nAAQQusPEHGHn8HjLI9oOAAAggNAdpobMEYY94mObR7QdAABAAKE7DOHMEUbkDU7qEtF2AAAAAYTu\nMDBH2Fl6xrfTwMRO59RmUGInHqIEAABhI3SHgTnCzpOVmia3XPX6rlsuZaamWVwRAABoCholdHu9\nXi1dulQjRoxQnz59NHToUC1evFgVFRX1al9eXq7nn39e6enp6t27t4YNG6Y5c+boyJEjjVGeZZgj\n7DxpSV01v88NdQZvt1zK7jOSZR4BAECjaJTQPXv2bM2dO1cJCQkaP3682rdvr0WLFikrK6vOthUV\nFbrvvvv03HPPqV27dho3bpy+//3va9myZbrvvvt06tSpxijREswRdqY7O16mN6+4S4NCTDUZlNhJ\nb15xl+7oeGmEKwMAAKYK++U427dv16pVq5Senq6FCxfK5XLJ7/dr5syZWrNmjTZu3KghQ4aEbP/6\n66/rk08+0b333qsZM2ZUfj579mytWLFCa9eu1ejRo8Mt0xKBOcLn8jAlc4SjQ1pSV6UldT3zBtFj\nvEEUAABYK+zQvWLFCknSlClT5HKd+ZO9y+VSZmam3nnnHb311lu1hu4VK1YoJSVF06ZNq/b5Pffc\no+PHj6t58+ieipGVmqYxW5fXa9lA5ghHn57x7XRFh86SpLKy4/YWAwAAjBX29JLc3Fy1adNGqamp\n1T5v3769OnfurG3btoVs+8UXX+jAgQO69tpr1axZs2rbfvCDH+jpp5/W8OHDwy3RUswRBgAAQF3C\nCt2nTp3SoUOH1LFjx6DbU1JSdOTIEZWWlgbdvmfPHklS9+7d9eGHH+r222/XJZdcoquuukpPP/20\njh93xp1H5ggDAACgNmFNLykrK5MkxcfHB90e+Nzj8SgxMfGs7YcPn3lJzMaNG7Vx40ZdffXVuv32\n2/XJJ5/otdde065du7Rs2bKz7oLXlJDQKpxuNIpRCb00qlsv/avskD48vFdHKk6qdUxzDfneRbo4\n4Xt2l4daxMaeufaMht8j1A9j5iyMl/MwZs7CeDlDWKHb6/VKkuLi4oJuD3xeXh58XeoTJ05IOhO6\nn3jiCY0ZM0aSdPr0aWVmZmr9+vV64403NGHChHDKjKiLE76nS5KSJUler8/magAAABANwgrdLVq0\nkKSQ63EHlvtr2bJl0O1u95krsx/+8IeVgVuSYmJiNGPGDK1fv17r1q2rM3RH2wNwgSvNaKsLwTFe\nzsOYOQvj5TyMmbMwXpHVtm3wGR51CWtOd+vWreV2u3X06NGg2z0ej6TQ009at24t6UzoriklJUXn\nn3++vvrqq3BKBAAAAGwXVuiOi4tTcnKyCgsLg24vLCxUmzZtlJCQEHR7586dJYW+U+71eivvpgMA\nAABOFfaSgf369VNxcbHy8/OrfV5UVKSCggL17ds3ZNs+ffooLi5O27Zt0+nTp6tt+/LLL3X8+HH1\n6NEj3BIBAAAAW4UdugNvi1ywYIF8vjMPDvr9fmVnZ8vv9ysjIyNk2/j4eA0fPlwHDx7UkiVLKj+v\nqKjQb37zG0nSLbfcEm6JAAAAgK3CfiPloEGDNGLECK1du1YZGRkaMGCAduzYodzcXKWnp+uaa66p\n/O5zzz0nSZo6dWrlZz//+c/12Wef6dlnn9Unn3yinj17asuWLfr3v/+tESNGaOjQoeGWCAAAANjK\n5ff7635/eR0qKiq0ZMkSrV69WkVFRUpOTtaoUaM0adKkassJBqaK7N69u1r7b7/9VosXL9Zf/vIX\nlZaWKiUlRbfeeqvuvvtuxcTE1Pn/Ly72hNuFRsVTxM7CeDkPY+YsjJfzMGbOwnhFVkNXL2mU0G03\nQjfCwXg5D2PmLIyX8zBmzsJ4RZYtSwYCAAAAqBuhGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAY\noRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBih\nGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEb\nAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsA\nAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAA\nALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAA\nsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACw\nGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALAYoRsAAACwGKEbAAAAsBihGwAAALBY\nrN0FAMC5yCs+ptx/HdaRk1418/s0uFMb9Wx7nt1lAQBQK0J3IyMQANbI2fet5v9jn7Z89d1Z2wZ2\nuEBZV3ZWWuc2NlQGwAnyio9pU8G38pR7Fd88lvMzIo7Q3UgIBIB1Vuz8Wlnrd8vnD759y1ffacyq\nncq+vofuuOT7kS2ukRAIAGtwfka0cPn9/hCnMecoLvbY+v+vKxBIktslRwcCkyUktJIklZUdt7kS\nBJOz71uNWbWz1v0rwO2S3sy4xFEn0KYQCEzcx0y+SMorPqbcw8eM+IttUzk/m7iPRbO2beMb1I7Q\nHSbTA0GAyScYDlbR7cYVO4IG0lAGdbhAa+681MKKGk9TCAQmBTjJ7Isk0/rWlM7PJu1jTkDotonJ\ngUAy7yBck6kHK1MukvKKjyntlW3n3C7n3sujvr+mBwITjx0mXySZ2DfOz87bx6qK5vOYraHb6/Vq\n+fLlevPNN1VYWKi2bdvq5ptv1v33369mzZqd08/y+Xy6/fbbtXPnTu3evbtebewK3SYHAsnMg3CA\nqQcr0/r1cm6hfvnBF+fc7qlh3TTpRz+woKLGY3IgMPHYYfJFkol94/zsvH0swAnnsYaG7kZZp3v2\n7NmaO3euEhISNH78eLVv316LFi1SVlbWOf+spUuXaufOnY1RluU2FXwb0XaRlLPv2zp3aEny+aXM\n9buVsy/6+xSwYufXGrNqZ8jAE3go742dX0e4svCY2C9PuTei7SIlr/jYOQVuSdr81XfKKz5mUUWN\nx9Rjx/x/7KtXKJXO9C37H/ssracxmdg3zs/O28ckM89jVYUdurdv365Vq1YpPT1dK1as0PTp07Vi\nxQqNHj1aGzZs0MaNG+v9s/bv36+FCxeGW1LEmBoIJDMPwpK5BytT+xXfvGELLDW0XaSYHAhMPHaY\nfJFkat84P5/hlH1MMvc8VlXYoXvFihWSpClTpsjlckmSXC6XMjMz5XK59NZbb9Xr5/j9fv3yl79U\nu3bt1Llz53DLighTA4GpB2HJ3IOVqf0a3Klhf0JsaLtIMTUQmHrsMPkiydS+cX7+DyfsY5K557Gq\nwg7dubm5atOmjVJTU6t93r59e3Xu3FnbttVvTtXKlSv1ySefaPbs2WrRokW4ZUWEqYHA1IOwqQcr\nU/slST3bnqeBHS44pzaDOlwQ9XMyTQ0Eph47TL1IksztG+fnxmkXKSafx6oKK3SfOnVKhw4dUseO\nHYNuT0lJ0ZEjR1RaWlrrz/n666/1zDPP6NZbb9XAgQPDKSmiTA0Eph6ETT1YmdqvgKwrO8vtqt93\n3S4p88rOltbTGEwNBKYeO0y9SJLM7Rvn58ZpFymmn8cCwtprysrKJEnx8cGf4gx87vF4lJiYGPLn\nzJo1S61atdLPf/7zBtURWGfZDo+m99CIVz6p91Pfs9J72FpvfbRrYH3tElpFdd8qXA27xqxwuemX\njUb1baUXKnz677f/WeeT+i/e3Fuj+qZErrgGuiKhlQZ3SdSm/NpvSFSV1iVRV3Rva2FV4TP12DGi\n9/cbtIrOiN7fj+p+SWb3jfNz9XbR3DfTz2MBYd3p9nrPXDnFxcUF3R74vLy8POTPWLNmjXJycvTI\nI4/o/PPPD6ccW1zbLUkv3Ny7zjtxgUBwbbekyBQWhiHdLoxou0g5v0XDrjEb2i5STO1XVXdf3kFr\n7+2vtC7BL97TuiRq7b39NfHyDhGurOF+ObTbOd3Bf3hoN2sLagSmHjsubh+vwSF+90JJ65Koi9s3\nbFmxSDK5b5yfw28XKU3hPCaFeac7MPe6oqIi6PZTp05Jklq2bBl0e0lJiebOnavrrrtO6enpDa7D\n7jcJ3tT9Ql2YcYmy/7FPm4PMSRrU4QJl/v91Je2utT5SmsdoYIcLznkN4ZTmMVHdvx+1a9ifDX/U\n7jz6FQUuS2qlP2T0qfWFRk7rz/zre9R7rd3LklpFff9MPXZI0k8HdNA/9pXW+67pQwM6RH2fAkzu\nG+dnZ+xjTjuPNXSd7rBCd+vWreV2u3X06NGg2z2eMy+tCTX9ZPbs2Tp9+rRmzZoVThlRIa1zG6V1\nbmPMGw6zrux8Ti9LcMI82sAcv3M9WEX7+Jnar1B6tj2vcppFNJ9E6uPOS76vDhe0qFcgcAoTjx3S\nmWP8uVwkOWnMTO6bVP38HK1vODwXJu5jTeU8FvYbKYcOHary8nJ99NFHZ21LT0/Xd999p61btwZt\n26NHjzp/fkpKiv72t7/V+h2mOAO/AAAgAElEQVQ7XwMfTGB+kdMDgYlvvDLxzWuSuf0KxZR9rCpT\nAoFk5rEjIGfft0ZdJFVlct9MY+I+5qTzmC13uiWpX79+euedd5Sfn68uXbpUfl5UVKSCggJdc801\nIdtOmTIl6Oe///3vVVJSoilTpoS8Sw7rmXgXztQ7Oqb2qynp2fY8x4bsmkw8dgSYdte0KtP+Ymsy\nE/expnAeC/tO9+bNm3X33XcrPT1dzz77rNxut/x+v2bOnKk1a9boxRdf1JAhQ87pZ954443Ky8vT\n7t276/V97nRbz7QTjKl3dEztV00m7mOmIsA5E/uYc5i2jznhPNbQO91hh25JmjZtmtauXas+ffpo\nwIAB2rFjh3Jzc5Wenq6FCxdWvqnyueeekyRNnTq11p9H6EakmHawCjDtIqmqPM9h5R47oCMVJ9XM\n69bgpC7qGd/O7rJQC46JzsOYOYuJ4xXN5zFbQ3dFRYWWLFmi1atXq6ioSMnJyRo1apQmTZpUbTnB\nwBzuusI0oRuRxHg5Q07JXs3fk6MtpQVnbRuY2ElZqWlKS+pqQ2WoC/uY8zBmzsJ4RZatodtuhG6E\ng/GKfiv2b1fWrnflU+jDlVsuZfcZqTs6XhrBylAf7GPOw5g5C+MVWQ0N3WG9HAcArJZTsrfOwC1J\nPvmVuevPyinZG6HKAACoP0I3gKg2f09OnYE7wCe/svfkWFwRAADnjtANIGrleQ4HncNdm82lBcrz\nHLaoIgAAGobQDSBqbSrJj2g7AACsQugGELU83vKItgMAwCphv5ESAKwSH9s8ou2A+srzHNamknx5\nvOWKj23OevEA6kToBhC1Bid1iWg7oC6sFw+goZheAiBq9Yxvp4GJnc6pzaDETtxxhCVW7N+uMVuX\nh3y4d0tpgcZsXa439u+IcGUAnIDQDSCqZaWmyS1Xvb7rlkuZqWkWV4SmiPXiAYSL0A0gqqUlddX8\nPjfUGbwDb6R06p/28zyH9XL+x8r+vxy9nP8xyx5GGdaLBxAu5nQDiHp3drxMHVolKHtPjjYH+dP+\noMROynToXFrmCEe/cNaLZ6oTgABCNwBHSEvqqrSkrsrzHFbusQM6UnFSzbxuR68asWL/9lqnLATm\nCGf3Gak7Ol4a4eoQEM568U793QTQ+AjdABylZ3w7XdGhsySprOy4vcWE4VznCP+g1QXc8bYJ68UD\naAyEbgCwQUPmCDsxdOd5Div3kLP/MsF68QAaA6EbACKsKcwRNmmuOuvFA2gMrF4CABEWzhxhJzBt\nPWvWiwfQGAjdABBhJs8RNnU9a9aLBxAuQjcARJjJc4RNXc+6qawXD8A6hG4AiDBT5wiHM1fdCe7s\neJnevOIuDQox1WRQYie9ecVdLO8IICgepASACAvMET6XgOqEOcJNYT3rquvFbyrJl8dbrvjY5o5c\nlQVAZBG6AcAGWalpGrN1eb2mYjhljrDJc9Vr6hnfjpAN4JwwvQQAbGDiHGGT56oDQLi40w0ANrmz\n42Xq0CpB2XtytDnIVJNBiZ2UyXrWAGAEQjcA2MikOcKmzlUHgMZA6AaAKGDKHGET56oDQGNgTjcA\noNGYOFcdABoDd7oBAI3KtLnqANAYCN0AgEZXda567rEDOlJxUs28bkfOVQeAxkDoBgBYpmd8O13R\nobMkqazsuL3FAICNmNMNAAAAWIzQDQAAAFiM0A0AAABYjNANAAAAWIzQDQAAAFiM0A0AAABYjCUD\nAQBApTzPYeUeYm11oLERugEAgHJK9mr+nhxtCfIW0YGJnZTFW0SBsDC9BACAJm7F/u0as3V50MAt\nSVtKCzRm63K9sX9HhCsDzEHoBgCgCcsp2ausXe/KJ3+t3/PJr8xdf1ZOyd4IVQaYhdANAEATNn9P\nTp2BO8Anv7L35FhcEWAmQjcAAE1UnudwyCkloWwuLVCe57BFFQHmInQDANBEbSrJj2g7oCkjdAMA\n0ER5vOURbQc0ZYRuAACaqPjY5hFtBzRlhG4AAJqowUldItoOaMoI3QAANFE949tpYGKnc2ozKLET\nb6gEGoDQDQBAE5aVmia3XPX6rlsuZaamWVwRYCZCNwAATVhaUlfN73NDncHbLZey+4zkVfBAA8Xa\nXQAAALDXnR0vU4dWCcrek6PNQdbtHpTYSZmpaQRuIAyEbgAAoLSkrkpL6qo8z2HlHjugIxUn1czr\n1uCkLszhBhoBoRsAAFTqGd9OV3ToLEkqKztubzGAQQjdAADAeHmew9pUki+Pt1zxsc25g4+II3QD\nAABj5ZTs1fw9OdoSZK76wMROymKuOiKE1UsAAICRVuzfrjFblwcN3JK0pbRAY7Yu1xv7d0S4MjRF\nhG4AAGCcnJK9ytr1rnzy1/o9n/zK3PVn5ZTsjVBlaKoI3QAAwDjz9+TUGbgDfPIre0+OxRWhqSN0\nAwAAo+R5DoecUhLK5tIC5XkOW1QRQOgGAACG2VSSH9F2QH0QugEAgFE83vKItgPqg9ANAACMEh/b\nPKLtgPogdAMAAKMMTuoS0XZAfRC6AQCAUXrGt9PAxE7n1GZQYifeUAlLEboBAIBxslLT5JarXt91\ny6XM1DSLK0JTR+gGAADGSUvqqvl9bqgzeLvlUnafkbwKHpaLtbsAAAAAK9zZ8TJ1aJWg7D052hxk\n3e5BiZ2UmZpG4EZEELoBAICx0pK6Ki2pq/I8h7WpJF8eb7niY5trcFIX5nAjogjdAADAeD3j2xGy\nYSvmdAMAAAAWa5TQ7fV6tXTpUo0YMUJ9+vTR0KFDtXjxYlVUVNSr/eeff64HHnhAAwYMUK9evTRs\n2DA988wzOn78eGOUBwAAANiqUUL37NmzNXfuXCUkJGj8+PFq3769Fi1apKysrDrbbt26Vbfffrty\ncnJ01VVXady4cUpISNDLL7+s8ePHq7ycV7ICAADA2cKe0719+3atWrVK6enpWrhwoVwul/x+v2bO\nnKk1a9Zo48aNGjJkSMj2jz/+uPx+v1auXKk+ffpIkvx+v2bNmqU333xTb7zxhu6+++5wywQAAABs\nE/ad7hUrVkiSpkyZIpfrzFqYLpdLmZmZcrlceuutt0K2/eKLL7R3714NHTq0MnAH2j/44IOSpJyc\nnHBLBAAAAGwV9p3u3NxctWnTRqmpqdU+b9++vTp37qxt27aFbNu6dWtNnz79rLaSFBcXJ0nM6wYA\nAIDjhRW6T506pUOHDumSSy4Juj0lJUX5+fkqLS1VYmLiWdu/973vadKkSUHb/uUvf5EkdevWLZwS\nAQAAANuFFbrLysokSfHx8UG3Bz73eDxBQ3coJSUlWrRokSQpIyOjzu8nJLSq98+OhNjYM7N2oq0u\nBMd4OQ9j5iyMl/MwZs7CeDlDWHO6vV6vpP9MBakp8Pm5rEDi8Xh0//33q6SkROPGjas21xsAAABw\norDudLdo0UKSQq7HferUKUlSy5Yt6/XzSktLdd999+lf//qXhgwZopkzZ9arXVlZdM37DlxpRltd\nCI7xch7GzFkYL+dhzJyF8Yqstm2Dz/CoS1h3ulu3bi23262jR48G3e7xeCSFnn5S1f79+5WRkaF/\n/etfuvbaa7Vo0SLFxvKWegAAADhfWKE7Li5OycnJKiwsDLq9sLBQbdq0UUJCQq0/59///rduv/12\n7d+/XzfddJOee+65kFNWAAAAAKcJe53ufv36qbi4WPn5+dU+LyoqUkFBgfr27Vtr+4KCAt1zzz36\n5ptvdPfdd2vu3Lnc4QYAAIBRwg7do0ePliQtWLBAPp9P0pk3SmZnZ8vv99e6+ojP51NmZqZKS0s1\nfvx4zZw5s/IFOwAAAIApwr6lPGjQII0YMUJr165VRkaGBgwYoB07dig3N1fp6em65pprKr/73HPP\nSZKmTp0qSfrggw/0+eefKy4uTq1atarcXlVSUpLGjh0bbpkAAACAbVx+v98f7g+pqKjQkiVLtHr1\nahUVFSk5OVmjRo3SpEmTqs3N7tGjhyRp9+7dkqSnnnpKr7/+eq0/u2fPnnrnnXdq/U5xsSfMHjQu\nniJ2FsbLeRgzZ2G8nIcxcxbGK7IaunpJo4RuuxG6EQ7Gy3kYM2dhvJyHMXMWxiuybFkyEAAAAEDd\nCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI\n3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjd\nAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0A\nAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAA\nAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxWLtLgAAAACoKs9zWJtK8uXxlis+trkGJ3VR\nz/h2dpcVFkI3AAAAokJOyV7N35OjLaUFZ20bmNhJWalpSkvqakNl4WN6CQAAAGy3Yv92jdm6PGjg\nlqQtpQUas3W53ti/I8KVNQ5CNwAAAGyVU7JXWbvelU/+Wr/nk1+Zu/6snJK9Eaqs8RC6AQAAYKv5\ne3LqDNwBPvmVvSfH4ooaH3O6AQAAHCrPc1i5hw7oSMVJNfO6HfnAYZ7ncMgpJaFsLi1Qnuewo/pK\n6AYAAHAYkx443FSS3+B2TgrdTC8BAABwENMeOPR4yyPazi6EbgAAAIcw8YHD+NjmEW1nF0I3AACA\nQ5j4wOHgpC4RbWcXQjcAAIADhPPAYTTrGd9OAxM7nVObQYmdHDWfWyJ0AwAAOEI4DxxGu6zUNLnl\nqtd33XIpMzXN4ooaH6EbAADAAUx+4DAtqavm97mhzuDtlkvZfUY6ZmWWqlgyEAAAwAFMf+Dwzo6X\nqUOrBGXvydHmINNoBiV2UqaDlkKsidANAADgAE3hgcO0pK5KS+qqPM9hbSrJl8dbrvjY5o586U9N\nhG40OevWvaf09OFyu0PPrvL5fNqwYZ2GD/9xBCsDACC0wAOH5/IwpRMfOJTO9NWJddeGOd1oUubN\nm6MJE8Zq2rQp8vl8Qb/j8/k0bdoUTZgwVvPmzYlwhWhK1q17L+TvYYDP59O6de9FqCIA0a4pPHBo\nKkI3mox1697TM888LUlauXJ50OAdCNwrVy6XJD3zzNMEHliCC0AADdEUHjg0FaEbTUZ6+nCNHXtX\n5b9rBu+agVuSxo69S+npwyNeK6oz7Y6w6ReApo1XgKn9kszum4kS//W1ft//Dg0Ksbb1oMRO+n3/\nO9TmXwcjXFl4TP89jHnsscces7uIcB0/fsruEqpp0aKZJOnkyQqbK0FVLpdL6enDdeBAoT7/fJck\n6fPPd+mrr77SiBEj9MADPzkrcC9Y8Hytc79hvXnz5mjGjGk6cKBQ6enD5XK5ztrHAgH1iSceld/v\n15VXDraz5DpddFG3s34Pq/Yv1AXggw/+VC5X/f6sbBcTx0sK3q+anNgvydwxM1VgvGK/PabX7vuF\nRiVfrN5tkzWwbSddl9Rdj/3wOj3QdaCe/eUjjhovJ+1j553XsNVgCN2NYN2693TRRd0qf0GChW6f\nz6f169eqe/dUW2rEGcGC986dn+mpp56s/LdE4I4W69a9pxkzpkmqHkxbtoyTdGYfqxlQN2/+SL16\n9YnqfS3UBeCBA4W67rp0ZWZOdeQFoKnjFapfVUOBE/slmTtmpgo2XneOvFVXd+imwe276uKW7ZXY\nrKXjxstp+xih2ybcIXCeYIGnKqcEnKYg1B3hG28cJZfLpePHyx17RzhU8J4//9eOvQA0dbxM/suE\nqWMWUPOmWDBOuilm6ng5bR8jdNvA9DsEph2sqnK5XLruunTNn//rs7a9//7fFRMTY0NVqMn0KUGm\nXQCaOl6m/mVCMnfMJGdNV6gvU8fLaftYQ0O3y+/3+xu5logrLvbY8v8NdeX12muvyu12q7T0aNDt\nTtgB5s2bo2eeebrWeqv2f/r0mZox42EbKm2YYGMX4JQxakpqG68AJ4+b1+tVcnLiWZ8fPFiq2Fjn\nvU7B1PEytV+SeX1bt+49TZgwtvLfwWoP1udly1Y64v0Mpo1XgFP61bZtfIPacac7DKZecTptbtW5\nqmunDtVn2Me0O8JV+Xw+ZWZODdqvgwcPOPL30NTxMrVfknl9c9p0hXNl2ngFOKVf3Om2kVOuzOor\n1MEoUH9d26NZsNonTJioF154Uffee58j+9SUcEfYWUwbrwBT+yWZ1bdQ56r58xcpK+shI473Jo1X\nVdHeL+5028gpV2b15bS5VfUV6gD8u9/9TjExMbr66mG13hmBvUy7Ixzq9/H99/+ugwcPOP730LTx\nCjC1X5J5fTPxYeWqTBuvACf0iwcpbWbag3kmHqzWr1+rJ554tPLfgdpbtTqz85SXe4P2uXfvSxwx\nbcZkpk0Jqu2vRTExMSEvep3cv6qc1p8AU/slmds3026KBZg6Xk7pF6HbZk64MjtXph2sundPld/v\n1+bNH1WrveoSjzX7PH36TE2ceK/NlTdtoaYEbdmyVXv37nNkMA11ARjYl0Jd9DrhAtDE8ZLM/suE\nqWMWYNpNMVPHy0n7mK2h2+v16vXXX9fDDz+sX//61/rDH/6go0eP6tJLL63XL3NZWZnmzZunxx9/\nXNnZ2frLX/6i+Ph4de/evV7/f7tDt1OuzBrCtIPVlVcOVq9effTggz+tDDg111UPBJ7evS9xVOA2\ncYlHU6cEhboArMqJF4CmjpfJf5kwdcyqMummmKnj5bR9zNbQ/dhjj+nFF19U165ddf3118vj8WjN\nmjX68ssvNXz48FrbHj9+XBMmTNDf/vY3XXXVVRo0aJD+93//V2+++abatGmjPn361Pn/tzN0m3rF\nGWDSwSqge/fUajUHe4Ooy+VyTDCVzFyPVjJ7SlCwC8CanHYBaOp4mfyXCVPHLMC0m2KmjpfT9jHb\nQvf27dv1+OOPKz09XS+//LKuvPJK3XzzzSosLNR7772nXr16qUuXLiHbv/LKK/rTn/6kWbNm6Wc/\n+1ll+40bN2r9+vW67bbb1KpVq1prsCt0m3rFGWDawSqUYKHbSUxe4tH0KUE1LwCDcdIFoKnjZepf\nJiRzx0xy1nSF+jJ1vJy2j9m2ZGBWVpbeffdd/fnPf1Zq6n9ODEVFRbr66qt17bXX6re//W3I9mlp\naTp9+rRycnKqTVV49913lZWVpV/84heaOHFirTXYtWRgqMX3ExNbS5LKyo47dvH9prDUUkBCwpmL\nurKy4zZX0jAmL/EYsG7de0pPH15Zb7Ax8/l82rBhXdTvW02BqeNVs1/BOLFfknljZvpx0bTxCnDK\nPtbQJQPDDt1XX321ysvLtXXr1rO2XX/99frmm2+0bdu2oG3379+v6667Tunp6Vq0aFG1bcXFxbrq\nqqs0bNgwLV68uNYa7FynO9ibG2v+8jvtzY2mH6xqcnrolprWRZJkxpg1JYyX8zh9zEx/I2VNTh8v\np2lo6A7rrHvq1CkdOnRIHTt2DLo9JSVFR44cUWlpadDt+/fvl6Sg7du2bavmzZtr37594ZRouRkz\nHtayZStrDTFut1sLFjyvZctWRn3glqQNG9bVGtIC/Rk79q7K76xcuVwbNqyLeK04I9SYJCcnGhe4\nAaAuw4f/WNOnz5QU+rhX87g5ffpMRwZuOEdYr/UpKyuTJMXHB0/8gc89Ho8SE89+s1Cg/fnnnx+0\nfevWreXx1H0XO3CFZ5exY2+r9u/Y2Op/7gn1vWg1duxt+r//+189+eQTmjBhol56aUnQkPbaa68q\nLi5Wy5Yt1a9+9Yhj+ldTqPFyoqpjUlNtY+k0Jo1ZU8B4OY8JYzZnzpO64or+uuGGG2o97r322qu6\n5ZabNWrUqAhW17hMGK+mIKzQ7fV6JUlxcXFBtwc+Ly8vb3D7EydOhFMiGmjWrEfVt++ltR6s3G63\nXnppiUaOHOXog5VJ3G63XnjhxaCh+4UXXjQicANAfdXn3OR2uzmHISLCCt0tWrSQJFVUBF/14dSp\nM6uKtGzZMuj25s2bV/tesPZ1rVwiRd8cJlPmVqWlDdORIyfr9T0n99WU8ZL+M0cxmHvvvc+YqSUm\njVlTwHg5D2PmLIxXZNkyp7t169Zyu906evRo0O2BqSGhpp9ccMEFkhSy/dGjR9W6detwSgSajLqW\neFy5crmmTZsin88X4coAAEBYoTsuLk7JyckqLCwMur2wsFBt2rRRQkJC0O2dO3eu/F5Nhw8fVnl5\nea1rfAM4I9TqJQcPlp71cCXBGwCAyAv778z9+vVTcXGx8vPzq31eVFSkgoIC9e3bN2Tb5ORkJScn\n69NPPz0rBHzyySeSpEsvvTTcEgGj1baEY2xsbNBVTQjeAABEVtihe/To0ZKkBQsWVJ7E/X6/srOz\n5ff7lZGRUWv7UaNG6dChQ1q+/D+B4ejRo3rxxRfVokUL3XjjjeGWCBiNJR4BAIh+YT1IKUmDBg3S\niBEjtHbtWmVkZGjAgAHasWOHcnNzlZ6ermuuuabyu88995wkaerUqZWfTZo0SevXr9dTTz2lbdu2\nqUOHDnr//ff11Vdf6ZFHHgm61CCA/wisR1vzJU1VBYK3pMqXNLEeLQAAkRP2GymlM6uXLFmyRKtX\nr1ZRUZGSk5M1atQoTZo0qdpygD169JAk7d69u1r7kpISZWdna+PGjTpx4oS6du2qe++9Vz/+cf1C\ngZ1vpAyGp4idxZTxcsrrcxuDKWPWVDBezsOYOQvjFVm2vQY+GhC6EQ7Gy3kYM2dhvJyHMXMWxiuy\nbFkyEAAAAEDdCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACA\nxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDFCN0AAACAxQjdAAAAgMUI3QAAAIDF\nCN0AAACAxVx+v99vdxEAAACAybjTDQAAAFiM0A0AAABYjNANAAAAWIzQDQAAAFiM0A0AAABYjNAN\nAAAAWIzQ3Yi8Xq+WLl2qESNGqE+fPho6dKgWL16siooKu0tDEMXFxZo1a5auvvpq9erVS1deeaWm\nT5+ur776yu7SUA+//vWv1aNHD3388cd2l4Ja/OlPf9Ktt96qSy65RFdddZUeeugh5efn210WQvj2\n22/16KOPavDgwerVq5euvfZazZs3TydOnLC7NPx/RUVF6tevn5YuXRp0+5o1azR69Gj17dtXaWlp\nmjt3ro4dOxbZIhEUobsRzZ49W3PnzlVCQoLGjx+v9u3ba9GiRcrKyrK7NNRQXFys2267TatWrdJF\nF12kcePGqXfv3nr33Xd16623at++fXaXiFrs2rVLy5Yts7sM1GHBggX62c9+Jo/HozvuuEP9+/fX\nBx98oIyMDBUWFtpdHmo4duyY7rjjDv3+979Xly5dNG7cOLVr106vvPKK7r77bnm9XrtLbPKOHTum\nqVOn6ujRo0G3v/TSS/r5z38un8+nu+66Sz179tTSpUt177336tSpUxGuFmfxo1F8+umn/tTUVP/U\nqVP9Pp/P7/f7/T6fzz9jxgx/amqq/29/+5vNFaKqRx55xJ+amup/9dVXq33+zjvv+FNTU/2TJ0+2\nqTLUpby83H/DDTf4U1NT/ampqf6tW7faXRKC2Llzp79Hjx7+u+66y3/ixInKz9etW+dPTU31z5w5\n08bqEMwrr7ziT01N9T/55JOVn/l8Pn9WVpY/NTXV//bbb9tYHQoLC/033XRT5bHvtddeq7b9wIED\n/h/+8If+jIwM/6lTpyo/f/bZZ/2pqan+//mf/4lwxaiJO92NZMWKFZKkKVOmyOVySZJcLpcyMzPl\ncrn01ltv2Vkeavjggw+UmJioCRMmVPt81KhR6tixoz766CP5fD6bqkNtXnzxReXn52vQoEF2l4Ja\nBI6Js2fPVosWLSo/v/7665WRkaGOHTvaVRpC+Oc//ylJuuWWWyo/c7lcuu222yRJn332mS11QVq6\ndKlGjhypvLw8XXHFFUG/s2rVKnm9Xk2ePFnNmjWr/PwnP/mJWrduTQ6JArF2F2CK3NxctWnTRqmp\nqdU+b9++vTp37qxt27bZVBlqOn36tCZPnqzY2Fi53Wdfd8bFxamiokIVFRVq3ry5DRUilLy8PC1Z\nskSTJ0/WkSNHtHnzZrtLQgg5OTlKTU1Vly5dzto2e/ZsGypCXRISEiRJBw8eVM+ePSs/LyoqkiQl\nJibaUhek119/XSkpKXr88ce1b98+bd269azvBHLG5ZdfXu3z5s2bq2/fvvroo4/k8XgUHx8fkZpx\nNu50N4JTp07p0KFDIe/cpKSk6MiRIyotLY1wZQgmJiZGEyZM0J133nnWti+//FJ79+5Vx44dCdxR\n5vTp03r44YfVqVMnTZ482e5yUItvvvlGpaWl6t69u7788ktNmTJFP/rRj9SvXz899NBDPKwcpW65\n5RY1a9ZMc+fO1aeffqoTJ07o448/1jPPPKP4+Phqd8ARWY8//rjWrFmjyy67LOR39u/fr6SkJLVu\n3fqsbSkpKZLEQ8w2I3Q3grKyMkkKefUY+Nzj8USsJpw7n8+nJ554Qj6fT2PGjLG7HNTwyiuv6N//\n/reefPJJxcXF2V0OanH48GFJZ+6Q3nbbbTpw4IBuueUW9evXTxs2bFBGRoYOHDhgc5WoqVevXnrt\ntdd08uRJ3XHHHerbt6/Gjx+vmJgYrVy5Uj/4wQ/sLrHJGjx4sGJiYmr9TllZWZ05JNQDmIgMQncj\nCDzRHSoIBD4vLy+PWE04N36/X7NmzdKWLVvUq1evs+Z6w175+fl6/vnndccdd+jSSy+1uxzU4fjx\n45LO/Ll72LBh+sMf/qBf/OIXWrJkiX71q1/pm2++0Zw5c2yuEjV98803ys7OVnFxsYYMGaJ77rlH\n/fv318GDBzVr1iwdOQzCPJUAAATsSURBVHLE7hJRC6/XSw6JcszpbgSBh4RCrccdWKanZcuWEasJ\n9ef1evXII4/o7bffVocOHfTb3/6WO6lRxO/365e//KUuvPBCZWZm2l0O6iHwrERMTIwefvjhanfo\n7rzzTi1btkwffvihTpw4wXEximRlZWn79u1asGCBRowYUfn50qVLNXfuXD3yyCNauHChjRWiNi1a\ntCCHRDnudDeC1q1by+12h/yzTWBaCQ8vRJ8TJ07ogQce0Ntvv63OnTvr9ddfV/v27e0uC1WsWLFC\nn376qR577DGdd955dpeDeggc61JSUiofzgtwu93q0aOHKioqdPDgQTvKQxCHDh3Sli1bdPnll1cL\n3JI0ceJEdevWTe+//z7TE6LY+eefH3IaKzkkOnCnuxHExcUpOTk55MseCgsL1aZNm7NOPrDXd999\np0mTJmnnzp364Q9/qN/97ne68MIL7S4LNWzYsEGSdP/99wfdPn78eEnSX//6V+acRokOHTooJiYm\n5F23wJQ87rpFj6+//lqS1LVr16DbL7roIn3xxRcqKioK+qAe7BdYKe3kyZPVlumUpAMHDsjtdqtT\np042VQeJ0N1o+vXrp3feeUf5+fnVlsgqKipSQUGBrrnmGvuKw1nKy8s1efJk7dy5U/3799cLL7zA\niSRK3XTTTerfv/9Zn2/atEk7d+7UTTfdpJSUFJ1//vk2VIdgmjdvrl69emnnzp3at2+fOnfuXLnN\n6/UqLy9PCQkJ/FUpiiQlJUlSyLfxFhQUyOVycWMiivXr108ff/yxcnNzddVVV1V+Xl5ers8++0zd\nunXjPGczQncjGT16tN555x0tWLBAzz77rNxut/x+v7Kzs+X3+5WRkWF3iagiOztbO3bs0KWXXqqX\nX375rLsCiB4333xz0M+PHDlSGboHDBgQ4apQlzFjxmjnzp166qmn9Nvf/rbyZR2vvvqqDh06pIkT\nJ9a5GgMip0OHDrr44ov1ySef6IMPPtCwYcMqt7311lvKy8vT4MGD+YttFBs5cqReeuklPf/88+rf\nv3/ls0kvvviijh49Sg6JAoTuRjJo0CCNGDFCa9euVUZGhgYMGKAdO3YoNzdX6enp3OmOIsXFxZVv\ny+vatatefvnloN+7//77WasbaKBbbrlFGzdu1AcffKDRo0crLS1NX375pT788EN17txZU6ZMsbtE\n1DBnzhyNGzdOU6dO1ZAhQ9SlSxft3r1bmzZtUtu2bfXoo4/aXSJq0bVrV91zzz16+eWXNXr0aA0Z\nMkRffPGF/v73v+uyyy5jKdwoQOhuRPPmzVO3bt20evVqLVu2TMnJyXrooYc0adKkylfDw347d+6s\nnGv6xz/+MeT3JkyYQOgGGsjlcmnhwoVavny53nrrLS1fvlwJCQkaO3asfvrTn/JAVxTq2bOn/vjH\nP2rx4sX6xz/+oQ8//FAXXnihMjIyNGXKFLVr187uElGHrKwsff/739cbb7yh119/XW3bttXEiRM1\nZcoUVuWKAi6/3++3uwgAAADAZCwZCAAAAFiM0A0AAABYjNANAAAAWIzQDQAAAFiM0A0AAABYjNAN\nAAAAWIzQDQAAAFiM0A0AAABYjNANAAAAWIzQDQAAAFiM0A0AAABYjNANAAAAWIzQDQAAAFiM0A0A\nAABYjNANAAAAWIzQDQAAAFiM0A0AAABY7P8BSMz5pWq9AFEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa19d17bda0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 366
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_case = np.arange(admit_df.shape[0])\n",
    "\n",
    "plt.scatter(\n",
    "    x_case,\n",
    "    pp_trace_11_5['admit_obs'].mean(axis=0) \\\n",
    "        / admit_df.applications.values\n",
    ");\n",
    "plt.scatter(x_case, admit_df.admit / admit_df.applications);\n",
    "\n",
    "high = np.percentile(pp_trace_11_5['admit_obs'], 95, axis=0) \\\n",
    "        / admit_df.applications.values\n",
    "plt.scatter(x_case, high, marker='x', c='k');\n",
    "\n",
    "low = np.percentile(pp_trace_11_5['admit_obs'], 5, axis=0) \\\n",
    "        / admit_df.applications.values\n",
    "plt.scatter(x_case, low, marker='x', c='k');"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Code 11.31"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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CT3MPuP98VlpsQP6/4D6334wxvTXjg+2SpDmf71R2VooSo8Isrupo3OPgwH0O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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x7fa19d13c748>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 244,
       "width": 372
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "mu = 3.\n",
    "theta = 1.\n",
    "\n",
    "x = np.linspace(0, 10, 100)\n",
    "plt.plot(x, sp.stats.gamma.pdf(x, mu / theta, scale=theta));"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "This notebook was createad on a computer x86_64 running debian stretch/sid and using:\n",
      "Python 3.6.2\n",
      "IPython 6.1.0\n",
      "PyMC3 3.2\n",
      "NumPy 1.13.3\n",
      "Pandas 0.20.3\n",
      "SciPy 0.19.1\n",
      "Matplotlib 2.1.0\n",
      "\n"
     ]
    }
   ],
   "source": [
    "import sys, IPython, scipy, matplotlib, platform\n",
    "print(\"This notebook was createad on a computer %s running %s and using:\\nPython %s\\nIPython %s\\nPyMC3 %s\\nNumPy %s\\nPandas %s\\nSciPy %s\\nMatplotlib %s\\n\" % (platform.machine(), ' '.join(platform.linux_distribution()[:2]), sys.version[:5], IPython.__version__, pm.__version__, np.__version__, pd.__version__, scipy.__version__, matplotlib.__version__))"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.2"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}