{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Chapter 11. God Spiked the Integers"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "!pip install -q numpyro arviz"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import math\n",
    "import os\n",
    "import warnings\n",
    "\n",
    "import arviz as az\n",
    "import matplotlib.pyplot as plt\n",
    "import numpy as np\n",
    "import pandas as pd\n",
    "\n",
    "import jax.numpy as jnp\n",
    "from jax import nn, random, vmap\n",
    "from jax.scipy.special import expit\n",
    "\n",
    "import numpyro\n",
    "import numpyro.distributions as dist\n",
    "import numpyro.optim as optim\n",
    "from numpyro.diagnostics import print_summary\n",
    "from numpyro.infer import MCMC, NUTS, Predictive, SVI, Trace_ELBO, log_likelihood\n",
    "from numpyro.infer.autoguide import AutoLaplaceApproximation\n",
    "\n",
    "if \"SVG\" in os.environ:\n",
    "    %config InlineBackend.figure_formats = [\"svg\"]\n",
    "warnings.formatwarning = lambda message, category, *args, **kwargs: \"{}: {}\\n\".format(\n",
    "    category.__name__, message\n",
    ")\n",
    "az.style.use(\"arviz-darkgrid\")\n",
    "numpyro.set_platform(\"cpu\")\n",
    "numpyro.set_host_device_count(4)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "chimpanzees = pd.read_csv(\"../data/chimpanzees.csv\", sep=\";\")\n",
    "d = chimpanzees"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.2"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "d[\"treatment\"] = d.prosoc_left + 2 * d.condition"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.3"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "condition  prosoc_left  treatment\n",
       "0          0            0            126\n",
       "           1            1            126\n",
       "1          0            2            126\n",
       "           1            3            126\n",
       "Name: index, dtype: int64"
      ]
     },
     "execution_count": 4,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "d.reset_index().groupby([\"condition\", \"prosoc_left\", \"treatment\"]).count()[\"index\"]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.4"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:00<00:00, 1707.80it/s, init loss: 346.7780, avg. loss [951-1000]: 346.1921]\n"
     ]
    }
   ],
   "source": [
    "def model(pulled_left=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 10))\n",
    "    logit_p = a\n",
    "    numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
    "\n",
    "\n",
    "m11_1 = AutoLaplaceApproximation(model)\n",
    "svi = SVI(model, m11_1, optim.Adam(1), Trace_ELBO(), pulled_left=d.pulled_left.values)\n",
    "svi_result = svi.run(random.PRNGKey(0), 1000)\n",
    "p11_1 = svi_result.params"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.5"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "prior = Predictive(m11_1.model, num_samples=10000)(random.PRNGKey(1999))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.6"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "p = expit(prior[\"a\"])\n",
    "az.plot_kde(p)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.7"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:00<00:00, 1238.06it/s, init loss: 414.9600, avg. loss [951-1000]: 351.7402]\n"
     ]
    }
   ],
   "source": [
    "def model(treatment, pulled_left=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 10).expand([4]))\n",
    "    logit_p = a + b[treatment]\n",
    "    numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
    "\n",
    "\n",
    "m11_2 = AutoLaplaceApproximation(model)\n",
    "svi = SVI(\n",
    "    model,\n",
    "    m11_2,\n",
    "    optim.Adam(1),\n",
    "    Trace_ELBO(),\n",
    "    treatment=d.treatment.values,\n",
    "    pulled_left=d.pulled_left.values,\n",
    ")\n",
    "svi_result = svi.run(random.PRNGKey(0), 1000)\n",
    "p11_2 = svi_result.params\n",
    "prior = Predictive(model, num_samples=int(1e4))(\n",
    "    random.PRNGKey(1999), treatment=0, pulled_left=0\n",
    ")\n",
    "p = vmap(lambda k: expit(prior[\"a\"] + prior[\"b\"][:, k]), 0, 1)(jnp.arange(4))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.8"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "az.plot_kde(jnp.abs(p[:, 0] - p[:, 1]), bw=0.3)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.9"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:00<00:00, 1329.70it/s, init loss: 414.5659, avg. loss [951-1000]: 340.4073]\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "DeviceArray(0.09770478, dtype=float32)"
      ]
     },
     "execution_count": 10,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def model(treatment, pulled_left=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 0.5).expand([4]))\n",
    "    logit_p = a + b[treatment]\n",
    "    numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
    "\n",
    "\n",
    "m11_3 = AutoLaplaceApproximation(model)\n",
    "svi = SVI(\n",
    "    model,\n",
    "    m11_3,\n",
    "    optim.Adam(1),\n",
    "    Trace_ELBO(),\n",
    "    treatment=d.treatment.values,\n",
    "    pulled_left=d.pulled_left.values,\n",
    ")\n",
    "svi_result = svi.run(random.PRNGKey(0), 1000)\n",
    "p11_3 = svi_result.params\n",
    "prior = Predictive(model, num_samples=int(1e4))(\n",
    "    random.PRNGKey(1999), treatment=0, pulled_left=0\n",
    ")\n",
    "p = vmap(lambda k: expit(prior[\"a\"] + prior[\"b\"][:, k]), 0, 1)(jnp.arange(4))\n",
    "jnp.mean(jnp.abs(p[:, 0] - p[:, 1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.10"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "# trimmed data list\n",
    "dat_list = {\n",
    "    \"pulled_left\": d.pulled_left.values,\n",
    "    \"actor\": d.actor.values - 1,\n",
    "    \"treatment\": d.treatment.values,\n",
    "}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.11"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "43f8745e8eb447bda53489e5fd1995f2",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "cad343f014404309b5b835176f3db3f7",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "68ace558c277449897900247ee2d0b24",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a00b41114b3147e9aa7b21c25607cb53",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "      a[0]     -0.44      0.33     -0.44     -0.94      0.09    653.23      1.00\n",
      "      a[1]      3.90      0.75      3.83      2.67      4.96   1776.39      1.00\n",
      "      a[2]     -0.75      0.33     -0.75     -1.29     -0.23    765.18      1.00\n",
      "      a[3]     -0.73      0.34     -0.73     -1.25     -0.18    707.96      1.00\n",
      "      a[4]     -0.45      0.33     -0.46     -0.93      0.13    721.43      1.00\n",
      "      a[5]      0.49      0.32      0.49     -0.04      0.97    666.96      1.00\n",
      "      a[6]      1.97      0.43      1.95      1.33      2.69    881.18      1.00\n",
      "      b[0]     -0.04      0.28     -0.05     -0.48      0.40    624.20      1.00\n",
      "      b[1]      0.48      0.28      0.48      0.00      0.90    565.12      1.00\n",
      "      b[2]     -0.39      0.28     -0.38     -0.84      0.05    641.65      1.00\n",
      "      b[3]      0.36      0.28      0.36     -0.09      0.81    642.48      1.00\n",
      "\n",
      "Number of divergences: 0\n"
     ]
    }
   ],
   "source": [
    "def model(actor, treatment, pulled_left=None, link=False):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([7]))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 0.5).expand([4]))\n",
    "    logit_p = a[actor] + b[treatment]\n",
    "    if link:\n",
    "        numpyro.deterministic(\"p\", expit(logit_p))\n",
    "    numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
    "\n",
    "\n",
    "m11_4 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_4.run(random.PRNGKey(0), **dat_list)\n",
    "m11_4.print_summary(0.89)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.12"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x470 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "post = m11_4.get_samples(group_by_chain=True)\n",
    "p_left = expit(post[\"a\"])\n",
    "az.plot_forest({\"p_left\": p_left}, combined=True, hdi_prob=0.89)\n",
    "plt.gca().set(xlim=(-0.01, 1.01))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.13"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x440 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "labs = [\"R/N\", \"L/N\", \"R/P\", \"L/P\"]\n",
    "az.plot_forest(\n",
    "    m11_4.get_samples(group_by_chain=True),\n",
    "    combined=True,\n",
    "    var_names=\"b\",\n",
    "    hdi_prob=0.89,\n",
    ")\n",
    "plt.gca().set_yticklabels(labs[::-1])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.14"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 600x520 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "diffs = {\n",
    "    \"db13\": post[\"b\"][..., 0] - post[\"b\"][..., 2],\n",
    "    \"db24\": post[\"b\"][..., 1] - post[\"b\"][..., 3],\n",
    "}\n",
    "az.plot_forest(diffs, combined=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.15"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "treatment\n",
       "0    0.333333\n",
       "1    0.500000\n",
       "2    0.277778\n",
       "3    0.555556\n",
       "Name: 1, dtype: float64"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pl = d.groupby([\"actor\", \"treatment\"])[\"pulled_left\"].mean().unstack()\n",
    "pl.iloc[0, :]"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.16"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = plt.subplot(\n",
    "    xlim=(0.5, 28.5),\n",
    "    ylim=(0, 1.05),\n",
    "    xlabel=\"\",\n",
    "    ylabel=\"proportion left lever\",\n",
    "    xticks=[],\n",
    ")\n",
    "plt.yticks(ticks=[0, 0.5, 1], labels=[0, 0.5, 1])\n",
    "ax.axhline(0.5, c=\"k\", lw=1, ls=\"--\")\n",
    "for j in range(1, 8):\n",
    "    ax.axvline((j - 1) * 4 + 4.5, c=\"k\", lw=0.5)\n",
    "for j in range(1, 8):\n",
    "    ax.annotate(\n",
    "        \"actor {}\".format(j),\n",
    "        ((j - 1) * 4 + 2.5, 1.1),\n",
    "        ha=\"center\",\n",
    "        va=\"center\",\n",
    "        annotation_clip=False,\n",
    "    )\n",
    "for j in [1] + list(range(3, 8)):\n",
    "    ax.plot((j - 1) * 4 + jnp.array([1, 3]), pl.loc[j, [0, 2]], \"b\")\n",
    "    ax.plot((j - 1) * 4 + jnp.array([2, 4]), pl.loc[j, [1, 3]], \"b\")\n",
    "x = jnp.arange(1, 29).reshape(7, 4)\n",
    "ax.scatter(\n",
    "    x[:, [0, 1]].reshape(-1),\n",
    "    pl.values[:, [0, 1]].reshape(-1),\n",
    "    edgecolor=\"b\",\n",
    "    facecolor=\"w\",\n",
    "    zorder=3,\n",
    ")\n",
    "ax.scatter(\n",
    "    x[:, [2, 3]].reshape(-1), pl.values[:, [2, 3]].reshape(-1), marker=\".\", c=\"b\", s=80\n",
    ")\n",
    "yoff = 0.01\n",
    "ax.annotate(\"R/N\", (1, pl.loc[1, 0] - yoff), ha=\"center\", va=\"top\")\n",
    "ax.annotate(\"L/N\", (2, pl.loc[1, 1] + yoff), ha=\"center\", va=\"bottom\")\n",
    "ax.annotate(\"R/P\", (3, pl.loc[1, 2] - yoff), ha=\"center\", va=\"top\")\n",
    "ax.annotate(\"L/P\", (4, pl.loc[1, 3] + yoff), ha=\"center\", va=\"bottom\")\n",
    "ax.set_title(\"observed proportions\\n\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.17"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "dat = {\"actor\": jnp.repeat(jnp.arange(7), 4), \"treatment\": jnp.tile(jnp.arange(4), 7)}\n",
    "pred = Predictive(m11_4.sampler.model, m11_4.get_samples(), return_sites=[\"p\"])\n",
    "p_post = pred(random.PRNGKey(1), link=True, **dat)[\"p\"]\n",
    "p_mu = jnp.mean(p_post, 0)\n",
    "p_ci = jnp.percentile(p_post, q=jnp.array([5.5, 94.5]), axis=0)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.18"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [],
   "source": [
    "d[\"side\"] = d.prosoc_left  # right 0, left 1\n",
    "d[\"cond\"] = d.condition  # no partner 0, partner 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.19"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "82a7eac14eeb417991c2ff96acded8fc",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "69dca2cff8414042a9df6457476b0ebe",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4b85f174ced34c869e506f73f35511d4",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "43658db65f4f4fab97d6a5ca3be3369e",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat_list2 = {\n",
    "    \"pulled_left\": d.pulled_left.values,\n",
    "    \"actor\": d.actor.values - 1,\n",
    "    \"side\": d.side.values,\n",
    "    \"cond\": d.cond.values,\n",
    "}\n",
    "\n",
    "\n",
    "def model(actor, side, cond, pulled_left=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([7]))\n",
    "    bs = numpyro.sample(\"bs\", dist.Normal(0, 0.5).expand([2]))\n",
    "    bc = numpyro.sample(\"bc\", dist.Normal(0, 0.5).expand([2]))\n",
    "    logit_p = a[actor] + bs[side] + bc[cond]\n",
    "    numpyro.sample(\"pulled_left\", dist.Binomial(logits=logit_p), obs=pulled_left)\n",
    "\n",
    "\n",
    "m11_5 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_5.run(random.PRNGKey(0), **dat_list2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.20"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n"
     ]
    },
    {
     "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>rank</th>\n",
       "      <th>loo</th>\n",
       "      <th>p_loo</th>\n",
       "      <th>d_loo</th>\n",
       "      <th>weight</th>\n",
       "      <th>se</th>\n",
       "      <th>dse</th>\n",
       "      <th>warning</th>\n",
       "      <th>loo_scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>m11.5</th>\n",
       "      <td>0</td>\n",
       "      <td>530.868595</td>\n",
       "      <td>7.771968</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.0</td>\n",
       "      <td>19.077177</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>False</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m11.4</th>\n",
       "      <td>1</td>\n",
       "      <td>532.349813</td>\n",
       "      <td>8.527458</td>\n",
       "      <td>1.481217</td>\n",
       "      <td>0.0</td>\n",
       "      <td>18.951459</td>\n",
       "      <td>1.212535</td>\n",
       "      <td>False</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "       rank         loo     p_loo     d_loo  weight         se       dse  \\\n",
       "m11.5     0  530.868595  7.771968  0.000000     1.0  19.077177  0.000000   \n",
       "m11.4     1  532.349813  8.527458  1.481217     0.0  18.951459  1.212535   \n",
       "\n",
       "       warning loo_scale  \n",
       "m11.5    False  deviance  \n",
       "m11.4    False  deviance  "
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.compare(\n",
    "    {\"m11.5\": az.from_numpyro(m11_5), \"m11.4\": az.from_numpyro(m11_4)},\n",
    "    ic=\"loo\",\n",
    "    scale=\"deviance\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.21"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "{'a': (2000, 7), 'b': (2000, 4), 'log_lik': (2000, 504)}"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "post = m11_4.get_samples()\n",
    "post[\"log_lik\"] = log_likelihood(m11_4.sampler.model, post, **dat_list)[\"pulled_left\"]\n",
    "{k: v.shape for k, v in post.items()}"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.22"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a2636cf7946a4bdcbb6bc8ff7fbab210",
       "version_major": 2,
       "version_minor": 0
      },
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       "  0%|          | 0/2000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4761de49c64247a78536d1c24126bbfe",
       "version_major": 2,
       "version_minor": 0
      },
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       "  0%|          | 0/2000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4e8bbc273c104ce9b5df94b23d46b39a",
       "version_major": 2,
       "version_minor": 0
      },
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       "  0%|          | 0/2000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "b5f6686181fc45b08bd0c1e355031815",
       "version_major": 2,
       "version_minor": 0
      },
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       "  0%|          | 0/2000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n"
     ]
    },
    {
     "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>rank</th>\n",
       "      <th>waic</th>\n",
       "      <th>p_waic</th>\n",
       "      <th>d_waic</th>\n",
       "      <th>weight</th>\n",
       "      <th>se</th>\n",
       "      <th>dse</th>\n",
       "      <th>warning</th>\n",
       "      <th>waic_scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>m11.4_pe</th>\n",
       "      <td>0</td>\n",
       "      <td>532.006465</td>\n",
       "      <td>8.366444</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1.0</td>\n",
       "      <td>18.875380</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>False</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m11.4</th>\n",
       "      <td>1</td>\n",
       "      <td>532.342706</td>\n",
       "      <td>8.523905</td>\n",
       "      <td>0.336241</td>\n",
       "      <td>0.0</td>\n",
       "      <td>18.951188</td>\n",
       "      <td>0.192587</td>\n",
       "      <td>False</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "          rank        waic    p_waic    d_waic  weight         se       dse  \\\n",
       "m11.4_pe     0  532.006465  8.366444  0.000000     1.0  18.875380  0.000000   \n",
       "m11.4        1  532.342706  8.523905  0.336241     0.0  18.951188  0.192587   \n",
       "\n",
       "          warning waic_scale  \n",
       "m11.4_pe    False   deviance  \n",
       "m11.4       False   deviance  "
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "def m11_4_pe_code(params, log_lik=False):\n",
    "    a_logprob = jnp.sum(dist.Normal(0, 1.5).log_prob(params[\"a\"]))\n",
    "    b_logprob = jnp.sum(dist.Normal(0, 0.5).log_prob(params[\"b\"]))\n",
    "    logit_p = params[\"a\"][dat_list[\"actor\"]] + params[\"b\"][dat_list[\"treatment\"]]\n",
    "    pulled_left_logprob = dist.Binomial(logits=logit_p).log_prob(\n",
    "        dat_list[\"pulled_left\"]\n",
    "    )\n",
    "    if log_lik:\n",
    "        return pulled_left_logprob\n",
    "    return -(a_logprob + b_logprob + jnp.sum(pulled_left_logprob))\n",
    "\n",
    "\n",
    "m11_4_pe = MCMC(\n",
    "    NUTS(potential_fn=m11_4_pe_code), num_warmup=1000, num_samples=1000, num_chains=4\n",
    ")\n",
    "init_params = {\"a\": jnp.zeros((4, 7)), \"b\": jnp.zeros((4, 4))}\n",
    "m11_4_pe.run(random.PRNGKey(0), init_params=init_params)\n",
    "log_lik = vmap(lambda p: m11_4_pe_code(p, log_lik=True))(m11_4_pe.get_samples())\n",
    "m11_4_pe_az = az.from_numpyro(m11_4_pe)\n",
    "m11_4_pe_az.sample_stats[\"log_likelihood\"] = (\n",
    "    (\"chain\", \"draw\", \"log_lik\"),\n",
    "    jnp.reshape(log_lik, (4, 1000, -1)),\n",
    ")\n",
    "az.compare(\n",
    "    {\"m11.4_pe\": m11_4_pe_az, \"m11.4\": az.from_numpyro(m11_4)},\n",
    "    ic=\"waic\",\n",
    "    scale=\"deviance\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.23"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DeviceArray(0.9210905, dtype=float32)"
      ]
     },
     "execution_count": 24,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "post = m11_4.get_samples()\n",
    "jnp.mean(jnp.exp(post[\"b\"][:, 3] - post[\"b\"][:, 1]))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.24"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "chimpanzees = pd.read_csv(\"../data/chimpanzees.csv\", sep=\";\")\n",
    "d = chimpanzees\n",
    "d[\"treatment\"] = d.prosoc_left + 2 * d.condition\n",
    "d[\"side\"] = d.prosoc_left  # right 0, left 1\n",
    "d[\"cond\"] = d.condition  # no partner 0, partner 1\n",
    "d_aggregated = (\n",
    "    d.groupby([\"treatment\", \"actor\", \"side\", \"cond\"])[\"pulled_left\"].sum().reset_index()\n",
    ")\n",
    "d_aggregated.rename(columns={\"pulled_left\": \"left_pulls\"}, inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.25"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8786ab48e3364d3e99225bb12fac4f33",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ddb76ddabb594b71a03a370758fdff38",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8447c10746704f3c8b3d490fe5bd0eb4",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2ead72aaa79a4ec0a530dc04da4dcaef",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat = dict(zip(d_aggregated.columns, d_aggregated.values.T))\n",
    "\n",
    "\n",
    "def model(actor, treatment, left_pulls):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([7]))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 0.5).expand([4]))\n",
    "    logit_p = a[actor] + b[treatment]\n",
    "    numpyro.sample(\"left_pulls\", dist.Binomial(18, logits=logit_p), obs=left_pulls)\n",
    "\n",
    "\n",
    "m11_6 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_6.run(\n",
    "    random.PRNGKey(0),\n",
    "    actor=dat[\"actor\"] - 1,\n",
    "    treatment=dat[\"treatment\"],\n",
    "    left_pulls=dat[\"left_pulls\"],\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.26"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n",
      "UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n",
      "UserWarning: \n",
      "ValueError: The number of observations should be the same across all models\n"
     ]
    }
   ],
   "source": [
    "try:\n",
    "    az.compare(\n",
    "        {\"m11.6\": az.from_numpyro(m11_6), \"m11.4\": az.from_numpyro(m11_4)},\n",
    "        ic=\"loo\",\n",
    "        scale=\"deviance\",\n",
    "    )\n",
    "except Exception as e:\n",
    "    warnings.warn(\"\\n{}: {}\".format(type(e).__name__, e))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.27"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "11.790477\n",
      "20.652117\n"
     ]
    }
   ],
   "source": [
    "# deviance of aggregated 6-in-9\n",
    "print(-2 * dist.Binomial(9, 0.2).log_prob(6))\n",
    "# deviance of dis-aggregated\n",
    "print(\n",
    "    -2 * jnp.sum(dist.Bernoulli(0.2).log_prob(jnp.array([1, 1, 1, 1, 1, 1, 0, 0, 0])))\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.28"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "UCBadmit = pd.read_csv(\"../data/UCBadmit.csv\", sep=\";\")\n",
    "d = UCBadmit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.29"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "87a9891ed32c4d5da27fe99b1923b02f",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "4607b1427ed64c229764d13748b9180a",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e39b6d416a774bd983e34f8504a4ea6c",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "0f98864ad57243ee88eee574d543f3e1",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "      a[0]     -0.22      0.04     -0.22     -0.28     -0.16   2000.51      1.00\n",
      "      a[1]     -0.83      0.05     -0.83     -0.91     -0.75   1905.84      1.00\n",
      "\n",
      "Number of divergences: 0\n"
     ]
    }
   ],
   "source": [
    "dat_list = dict(\n",
    "    admit=d.admit.values,\n",
    "    applications=d.applications.values,\n",
    "    gid=(d[\"applicant.gender\"] != \"male\").astype(int).values,\n",
    ")\n",
    "\n",
    "\n",
    "def model(gid, applications, admit=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([2]))\n",
    "    logit_p = a[gid]\n",
    "    numpyro.sample(\"admit\", dist.Binomial(applications, logits=logit_p), obs=admit)\n",
    "\n",
    "\n",
    "m11_7 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_7.run(random.PRNGKey(0), **dat_list)\n",
    "m11_7.print_summary(0.89)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.30"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "    diff_a      0.61      0.06      0.61      0.51      0.71   1924.35      1.00\n",
      "    diff_p      0.14      0.01      0.14      0.12      0.16   1932.49      1.00\n",
      "\n"
     ]
    }
   ],
   "source": [
    "post = m11_7.get_samples()\n",
    "diff_a = post[\"a\"][:, 0] - post[\"a\"][:, 1]\n",
    "diff_p = expit(post[\"a\"][:, 0]) - expit(post[\"a\"][:, 1])\n",
    "print_summary({\"diff_a\": diff_a, \"diff_p\": diff_p}, 0.89, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.31"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "post = m11_7.get_samples()\n",
    "admit_pred = Predictive(m11_7.sampler.model, post)(\n",
    "    random.PRNGKey(2), gid=dat_list[\"gid\"], applications=dat_list[\"applications\"]\n",
    ")[\"admit\"]\n",
    "admit_rate = admit_pred / d.applications.values\n",
    "plt.errorbar(\n",
    "    range(1, 13),\n",
    "    jnp.mean(admit_rate, 0),\n",
    "    jnp.std(admit_rate, 0) / 2,\n",
    "    fmt=\"o\",\n",
    "    c=\"k\",\n",
    "    mfc=\"none\",\n",
    "    ms=7,\n",
    "    elinewidth=1,\n",
    ")\n",
    "plt.plot(range(1, 13), jnp.percentile(admit_rate, 5.5, 0), \"k+\")\n",
    "plt.plot(range(1, 13), jnp.percentile(admit_rate, 94.5, 0), \"k+\")\n",
    "# draw lines connecting points from same dept\n",
    "for i in range(1, 7):\n",
    "    x = 1 + 2 * (i - 1)\n",
    "    y1 = d.admit.iloc[x - 1] / d.applications.iloc[x - 1]\n",
    "    y2 = d.admit.iloc[x] / d.applications.iloc[x]\n",
    "    plt.plot((x, x + 1), (y1, y2), \"bo-\")\n",
    "    plt.annotate(\n",
    "        d.dept.iloc[x], (x + 0.5, (y1 + y2) / 2 + 0.05), ha=\"center\", color=\"royalblue\"\n",
    "    )\n",
    "plt.gca().set(ylim=(0, 1), xticks=range(1, 13), ylabel=\"admit\", xlabel=\"case\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.32"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "67906ad4ffd34e9eb4258c66a089a1bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/4000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "a38991a9de4545f18c57a652f1c427bf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/4000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "086282b81f10452f92571431dda4075a",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/4000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "65277c4eaa7548d1b866b865c9f04079",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/4000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "      a[0]     -0.54      0.55     -0.54     -1.38      0.35    581.04      1.01\n",
      "      a[1]     -0.44      0.55     -0.44     -1.31      0.42    579.82      1.01\n",
      "  delta[0]      1.12      0.55      1.12      0.25      1.99    584.56      1.01\n",
      "  delta[1]      1.08      0.55      1.07      0.20      1.95    589.21      1.01\n",
      "  delta[2]     -0.14      0.55     -0.14     -1.02      0.73    583.25      1.01\n",
      "  delta[3]     -0.17      0.55     -0.17     -1.03      0.72    588.07      1.01\n",
      "  delta[4]     -0.62      0.55     -0.62     -1.50      0.25    584.70      1.01\n",
      "  delta[5]     -2.17      0.57     -2.17     -3.12     -1.31    602.85      1.00\n",
      "\n",
      "Number of divergences: 0\n"
     ]
    }
   ],
   "source": [
    "dat_list[\"dept_id\"] = jnp.repeat(jnp.arange(6), 2)\n",
    "\n",
    "\n",
    "def model(gid, dept_id, applications, admit=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([2]))\n",
    "    delta = numpyro.sample(\"delta\", dist.Normal(0, 1.5).expand([6]))\n",
    "    logit_p = a[gid] + delta[dept_id]\n",
    "    numpyro.sample(\"admit\", dist.Binomial(applications, logits=logit_p), obs=admit)\n",
    "\n",
    "\n",
    "m11_8 = MCMC(NUTS(model), num_warmup=2000, num_samples=2000, num_chains=4)\n",
    "m11_8.run(random.PRNGKey(0), **dat_list)\n",
    "m11_8.print_summary(0.89)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.33"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "    diff_a     -0.10      0.08     -0.10     -0.22      0.03   9440.98      1.00\n",
      "    diff_p     -0.02      0.02     -0.02     -0.05      0.01   6953.82      1.00\n",
      "\n"
     ]
    }
   ],
   "source": [
    "post = m11_8.get_samples()\n",
    "diff_a = post[\"a\"][:, 0] - post[\"a\"][:, 1]\n",
    "diff_p = expit(post[\"a\"][:, 0]) - expit(post[\"a\"][:, 1])\n",
    "print_summary({\"diff_a\": diff_a, \"diff_p\": diff_p}, 0.89, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.34"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "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>A</th>\n",
       "      <th>B</th>\n",
       "      <th>C</th>\n",
       "      <th>D</th>\n",
       "      <th>E</th>\n",
       "      <th>F</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>male</th>\n",
       "      <td>0.88</td>\n",
       "      <td>0.96</td>\n",
       "      <td>0.35</td>\n",
       "      <td>0.53</td>\n",
       "      <td>0.33</td>\n",
       "      <td>0.52</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>female</th>\n",
       "      <td>0.12</td>\n",
       "      <td>0.04</td>\n",
       "      <td>0.65</td>\n",
       "      <td>0.47</td>\n",
       "      <td>0.67</td>\n",
       "      <td>0.48</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "           A     B     C     D     E     F\n",
       "male    0.88  0.96  0.35  0.53  0.33  0.52\n",
       "female  0.12  0.04  0.65  0.47  0.67  0.48"
      ]
     },
     "execution_count": 35,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "pg = jnp.stack(\n",
    "    list(\n",
    "        map(\n",
    "            lambda k: jnp.divide(\n",
    "                d.applications[np.asarray(dat_list[\"dept_id\"]) == k].values,\n",
    "                d.applications[np.asarray(dat_list[\"dept_id\"]) == k].sum(),\n",
    "            ),\n",
    "            range(6),\n",
    "        )\n",
    "    ),\n",
    "    axis=0,\n",
    ").T\n",
    "pg = pd.DataFrame(pg, index=[\"male\", \"female\"], columns=d.dept.unique())\n",
    "pg.round(2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.35"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "(DeviceArray(0.99552995, dtype=float32), DeviceArray(1.00013, dtype=float32))"
      ]
     },
     "execution_count": 36,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "y = dist.Binomial(1000, 1 / 1000).sample(random.PRNGKey(0), (int(1e5),))\n",
    "jnp.mean(y), jnp.var(y)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.36"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "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>culture</th>\n",
       "      <th>population</th>\n",
       "      <th>contact</th>\n",
       "      <th>total_tools</th>\n",
       "      <th>mean_TU</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Malekula</td>\n",
       "      <td>1100</td>\n",
       "      <td>low</td>\n",
       "      <td>13</td>\n",
       "      <td>3.2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Tikopia</td>\n",
       "      <td>1500</td>\n",
       "      <td>low</td>\n",
       "      <td>22</td>\n",
       "      <td>4.7</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Santa Cruz</td>\n",
       "      <td>3600</td>\n",
       "      <td>low</td>\n",
       "      <td>24</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>Yap</td>\n",
       "      <td>4791</td>\n",
       "      <td>high</td>\n",
       "      <td>43</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>Lau Fiji</td>\n",
       "      <td>7400</td>\n",
       "      <td>high</td>\n",
       "      <td>33</td>\n",
       "      <td>5.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>Trobriand</td>\n",
       "      <td>8000</td>\n",
       "      <td>high</td>\n",
       "      <td>19</td>\n",
       "      <td>4.0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\n",
       "      <td>Chuuk</td>\n",
       "      <td>9200</td>\n",
       "      <td>high</td>\n",
       "      <td>40</td>\n",
       "      <td>3.8</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\n",
       "      <td>Manus</td>\n",
       "      <td>13000</td>\n",
       "      <td>low</td>\n",
       "      <td>28</td>\n",
       "      <td>6.6</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>Tonga</td>\n",
       "      <td>17500</td>\n",
       "      <td>high</td>\n",
       "      <td>55</td>\n",
       "      <td>5.4</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\n",
       "      <td>Hawaii</td>\n",
       "      <td>275000</td>\n",
       "      <td>low</td>\n",
       "      <td>71</td>\n",
       "      <td>6.6</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "      culture  population contact  total_tools  mean_TU\n",
       "0    Malekula        1100     low           13      3.2\n",
       "1     Tikopia        1500     low           22      4.7\n",
       "2  Santa Cruz        3600     low           24      4.0\n",
       "3         Yap        4791    high           43      5.0\n",
       "4    Lau Fiji        7400    high           33      5.0\n",
       "5   Trobriand        8000    high           19      4.0\n",
       "6       Chuuk        9200    high           40      3.8\n",
       "7       Manus       13000     low           28      6.6\n",
       "8       Tonga       17500    high           55      5.4\n",
       "9      Hawaii      275000     low           71      6.6"
      ]
     },
     "execution_count": 37,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "Kline = pd.read_csv(\"../data/Kline.csv\", sep=\";\")\n",
    "d = Kline\n",
    "d"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.37"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "d[\"P\"] = d.population.apply(math.log).pipe(lambda x: (x - x.mean()) / x.std())\n",
    "d[\"contact_id\"] = (d.contact == \"high\").astype(int)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.38"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = jnp.linspace(0, 100, 200)\n",
    "plt.plot(x, jnp.exp(dist.LogNormal(0, 10).log_prob(x)))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.39"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DeviceArray(1.1725839e+12, dtype=float32)"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "a = dist.Normal(0, 10).sample(random.PRNGKey(0), (int(1e4),))\n",
    "lambda_ = jnp.exp(a)\n",
    "jnp.mean(lambda_)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.40"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = jnp.linspace(0, 100, 200)\n",
    "plt.plot(x, jnp.exp(dist.LogNormal(3, 0.5).log_prob(x)))\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.41"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "N = 100\n",
    "a = dist.Normal(3, 0.5).sample(random.PRNGKey(0), (N,))\n",
    "b = dist.Normal(0, 10).sample(random.PRNGKey(1), (N,))\n",
    "plt.subplot(xlim=(-2, 2), ylim=(0, 100))\n",
    "x = jnp.linspace(-2, 2, 100)\n",
    "for i in range(N):\n",
    "    plt.plot(x, jnp.exp(a[i] + b[i] * x), c=\"k\", alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.42"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "with numpyro.handlers.seed(rng_seed=10):\n",
    "    N = 100\n",
    "    a = numpyro.sample(\"a\", dist.Normal(3, 0.5).expand([N]))\n",
    "    b = numpyro.sample(\"a\", dist.Normal(0, 0.2).expand([N]))\n",
    "    plt.subplot(xlim=(-2, 2), ylim=(0, 100))\n",
    "    x = jnp.linspace(-2, 2, 100)\n",
    "    for i in range(N):\n",
    "        plt.plot(x, jnp.exp(a[i] + b[i] * x), c=\"k\", alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.43"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x_seq = jnp.linspace(jnp.log(100), jnp.log(200000), num=100)\n",
    "lambda_ = vmap(lambda x: jnp.exp(a + b * x), out_axes=1)(x_seq)\n",
    "plt.subplot(\n",
    "    xlim=(jnp.min(x_seq).item(), jnp.max(x_seq).item()),\n",
    "    ylim=(0, 500),\n",
    "    xlabel=\"log population\",\n",
    "    ylabel=\"total tools\",\n",
    ")\n",
    "for i in range(N):\n",
    "    plt.plot(x_seq, lambda_[i], c=\"k\", alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.44"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.subplot(\n",
    "    xlim=(jnp.min(jnp.exp(x_seq)).item(), jnp.max(jnp.exp(x_seq)).item()),\n",
    "    ylim=(0, 500),\n",
    "    xlabel=\"population\",\n",
    "    ylabel=\"total tools\",\n",
    ")\n",
    "for i in range(N):\n",
    "    plt.plot(jnp.exp(x_seq), lambda_[i], c=\"k\", alpha=0.5)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.45"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "20fd6bde65754ba5924eec653dabeb2c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "1af1da740dd94a9897f7a7ba612c8d70",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "efd9f9ce24544f40ab88fcb6cdd364ba",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e7015cf7a30a436c8b917d70b08bafb8",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8d2dedaabd364d45abf69940605b819b",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "016b4293a8474ab8b906bddb79dcf03c",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "34280dd3407748aba041ae2ea0444b54",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "87f7d12f0751465883c4501cca3e6eaf",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat = dict(T=d.total_tools.values, P=d.P.values, cid=d.contact_id.values)\n",
    "\n",
    "\n",
    "# intercept only\n",
    "def model(T=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(3, 0.5))\n",
    "    lambda_ = numpyro.deterministic(\"lambda\", jnp.exp(a))\n",
    "    numpyro.sample(\"T\", dist.Poisson(lambda_), obs=T)\n",
    "\n",
    "\n",
    "m11_9 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_9.run(random.PRNGKey(0), dat[\"T\"])\n",
    "\n",
    "\n",
    "# interaction model\n",
    "def model(cid, P, T=None):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(3, 0.5).expand([2]))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 0.2).expand([2]))\n",
    "    lambda_ = numpyro.deterministic(\"lambda\", jnp.exp(a[cid] + b[cid] * P))\n",
    "    numpyro.sample(\"T\", dist.Poisson(lambda_), obs=T)\n",
    "\n",
    "\n",
    "m11_10 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_10.run(random.PRNGKey(0), **dat)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.46"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "UserWarning: The default method used to estimate the weights for each model,has changed from BB-pseudo-BMA to stacking\n",
      "UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n",
      "UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n"
     ]
    },
    {
     "data": {
      "text/html": [
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       "    }\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>rank</th>\n",
       "      <th>loo</th>\n",
       "      <th>p_loo</th>\n",
       "      <th>d_loo</th>\n",
       "      <th>weight</th>\n",
       "      <th>se</th>\n",
       "      <th>dse</th>\n",
       "      <th>warning</th>\n",
       "      <th>loo_scale</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>m11.10</th>\n",
       "      <td>0</td>\n",
       "      <td>85.544697</td>\n",
       "      <td>7.124397</td>\n",
       "      <td>0.00000</td>\n",
       "      <td>0.98207</td>\n",
       "      <td>12.345151</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>True</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>m11.9</th>\n",
       "      <td>1</td>\n",
       "      <td>142.276767</td>\n",
       "      <td>8.786926</td>\n",
       "      <td>56.73207</td>\n",
       "      <td>0.01793</td>\n",
       "      <td>32.278971</td>\n",
       "      <td>31.019185</td>\n",
       "      <td>True</td>\n",
       "      <td>deviance</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        rank         loo     p_loo     d_loo   weight         se        dse  \\\n",
       "m11.10     0   85.544697  7.124397   0.00000  0.98207  12.345151   0.000000   \n",
       "m11.9      1  142.276767  8.786926  56.73207  0.01793  32.278971  31.019185   \n",
       "\n",
       "        warning loo_scale  \n",
       "m11.10     True  deviance  \n",
       "m11.9      True  deviance  "
      ]
     },
     "execution_count": 47,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "az.compare(\n",
    "    {\"m11.9\": az.from_numpyro(m11_9), \"m11.10\": az.from_numpyro(m11_10)},\n",
    "    ic=\"loo\",\n",
    "    scale=\"deviance\",\n",
    ")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.47"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 48,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "UserWarning: Estimated shape parameter of Pareto distribution is greater than 0.7 for one or more samples. You should consider using a more robust model, this is because importance sampling is less likely to work well if the marginal posterior and LOO posterior are very different. This is more likely to happen with a non-robust model and highly influential observations.\n"
     ]
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "k = az.loo(az.from_numpyro(m11_10), pointwise=True).pareto_k.values\n",
    "cex = 1 + (k - jnp.min(k)) / (jnp.max(k) - jnp.min(k))\n",
    "plt.scatter(\n",
    "    dat[\"P\"],\n",
    "    dat[\"T\"],\n",
    "    s=40 * cex,\n",
    "    edgecolors=[\"none\" if i == 1 else \"b\" for i in dat[\"cid\"]],\n",
    "    facecolors=[\"none\" if i == 0 else \"b\" for i in dat[\"cid\"]],\n",
    ")\n",
    "plt.gca().set(xlabel=\"log population (std)\", ylabel=\"total tools\", ylim=(0, 75))\n",
    "\n",
    "# set up the horizontal axis values to compute predictions at\n",
    "ns = 100\n",
    "P_seq = jnp.linspace(-1.4, 3, num=ns)\n",
    "\n",
    "# predictions for cid=0 (low contact)\n",
    "post = m11_10.get_samples()\n",
    "post.pop(\"lambda\")\n",
    "lambda_ = Predictive(m11_10.sampler.model, post)(\n",
    "    random.PRNGKey(1), P=P_seq, cid=0\n",
    ")[\"lambda\"]\n",
    "lmu = jnp.mean(lambda_, 0)\n",
    "lci = jnp.percentile(lambda_, jnp.array([5.5, 94.5]), 0)\n",
    "plt.plot(P_seq, lmu, \"k--\", lw=1.5)\n",
    "plt.fill_between(P_seq, lci[0], lci[1], color=\"k\", alpha=0.2)\n",
    "\n",
    "# predictions for cid=1 (high contact)\n",
    "lambda_ = Predictive(m11_10.sampler.model, post)(\n",
    "    random.PRNGKey(1), P=P_seq, cid=1\n",
    ")[\"lambda\"]\n",
    "lmu = jnp.mean(lambda_, 0)\n",
    "lci = jnp.percentile(lambda_, jnp.array([5.5, 94.5]), 0)\n",
    "plt.plot(P_seq, lmu, \"k\", lw=1.5)\n",
    "plt.fill_between(P_seq, lci[0], lci[1], color=\"k\", alpha=0.2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.48"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 720x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "cex = 1 + (k - jnp.min(k)) / (jnp.max(k) - jnp.min(k))\n",
    "plt.scatter(\n",
    "    d.population,\n",
    "    d.total_tools,\n",
    "    s=40 * cex,\n",
    "    edgecolors=[\"none\" if i == 1 else \"b\" for i in dat[\"cid\"]],\n",
    "    facecolors=[\"none\" if i == 0 else \"b\" for i in dat[\"cid\"]],\n",
    ")\n",
    "plt.gca().set(xlabel=\"population\", ylabel=\"total tools\", xlim=(0, 300000), ylim=(0, 75))\n",
    "\n",
    "ns = 100\n",
    "P_seq = jnp.linspace(-5, 3, num=ns)\n",
    "# 1.53 is sd of log(population)\n",
    "# 9 is mean of log(population)\n",
    "pop_seq = jnp.exp(P_seq * 1.53 + 9)\n",
    "\n",
    "lambda_ = Predictive(m11_10.sampler.model, m11_10.get_samples())(\n",
    "    random.PRNGKey(1), P=P_seq, cid=0\n",
    ")[\"lambda\"]\n",
    "lmu = jnp.mean(lambda_, 0)\n",
    "lci = jnp.percentile(lambda_, jnp.array([5.5, 94.5]), 0)\n",
    "plt.plot(pop_seq, lmu, \"k--\", lw=1.5)\n",
    "plt.fill_between(pop_seq, lci[0], lci[1], color=\"k\", alpha=0.2)\n",
    "\n",
    "lambda_ = Predictive(m11_10.sampler.model, m11_10.get_samples())(\n",
    "    random.PRNGKey(1), P=P_seq, cid=1\n",
    ")[\"lambda\"]\n",
    "lmu = jnp.mean(lambda_, 0)\n",
    "lci = jnp.percentile(lambda_, jnp.array([5.5, 94.5]), 0)\n",
    "plt.plot(pop_seq, lmu, \"k\", lw=1.5)\n",
    "plt.fill_between(pop_seq, lci[0], lci[1], color=\"k\", alpha=0.2)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.49"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "71231492251a4f2a83a2dbb4b424a796",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "75a2098efa3143b3a3c9b3ae02d5fc40",
       "version_major": 2,
       "version_minor": 0
      },
      "text/plain": [
       "  0%|          | 0/1000 [00:00<?, ?it/s]"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
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       "model_id": "bd96a77f31c74da3836f64c4554c2c27",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8e2add685e1349a1b1fbfaed577d6a12",
       "version_major": 2,
       "version_minor": 0
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "dat2 = dict(T=d.total_tools.values, P=d.population.values, cid=d.contact_id.values)\n",
    "\n",
    "\n",
    "def model(cid, P, T):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(1, 1).expand([2]))\n",
    "    b = numpyro.sample(\"b\", dist.Exponential(1).expand([2]))\n",
    "    g = numpyro.sample(\"g\", dist.Exponential(1))\n",
    "    lambda_ = jnp.exp(a[cid]) * jnp.power(P, b[cid]) / g\n",
    "    numpyro.sample(\"T\", dist.Poisson(lambda_), obs=T)\n",
    "\n",
    "\n",
    "m11_11 = MCMC(NUTS(model), num_warmup=500, num_samples=500, num_chains=4)\n",
    "m11_11.run(random.PRNGKey(0), **dat2)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.50"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 51,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_days = 30\n",
    "y = dist.Poisson(1.5).sample(random.PRNGKey(0), (num_days,))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.51"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_weeks = 4\n",
    "y_new = dist.Poisson(0.5 * 7).sample(random.PRNGKey(0), (num_weeks,))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.52"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 53,
   "metadata": {},
   "outputs": [],
   "source": [
    "y_all = jnp.concatenate([y, y_new])\n",
    "exposure = jnp.concatenate([jnp.repeat(1, 30), jnp.repeat(7, 4)])\n",
    "monastery = jnp.concatenate([jnp.repeat(0, 30), jnp.repeat(1, 4)])\n",
    "d = pd.DataFrame.from_dict(dict(y=y_all, days=exposure, monastery=monastery))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.53"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "sample: 100%|██████████| 1000/1000 [00:02<00:00, 418.26it/s, 1 steps of size 6.69e-01. acc. prob=0.93]\n"
     ]
    }
   ],
   "source": [
    "# compute the offset\n",
    "d[\"log_days\"] = d.days.apply(math.log)\n",
    "\n",
    "\n",
    "def model(log_days, monastery, y):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1))\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 1))\n",
    "    lambda_ = jnp.exp(log_days + a + b * monastery)\n",
    "    numpyro.sample(\"T\", dist.Poisson(lambda_), obs=y)\n",
    "\n",
    "\n",
    "m11_12 = MCMC(NUTS(model), num_warmup=500, num_samples=500)\n",
    "m11_12.run(random.PRNGKey(0), d.log_days.values, d.monastery.values, d.y.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.54"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                  mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "  lambda_new      0.53      0.14      0.52      0.31      0.73    503.83      1.00\n",
      "  lambda_old      1.70      0.22      1.67      1.38      2.04    241.48      1.00\n",
      "\n"
     ]
    }
   ],
   "source": [
    "post = m11_12.get_samples()\n",
    "lambda_old = jnp.exp(post[\"a\"])\n",
    "lambda_new = jnp.exp(post[\"a\"] + post[\"b\"])\n",
    "print_summary(dict(lambda_old=lambda_old, lambda_new=lambda_new), 0.89, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.55"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [],
   "source": [
    "# simulate career choices among 500 individuals\n",
    "N = 500  # number of individuals\n",
    "income = jnp.array([1, 2, 5])  # expected income of each career\n",
    "score = 0.5 * income  # scores for each career, based on income\n",
    "# next line converts scores to probabilities\n",
    "p = nn.softmax(score)\n",
    "\n",
    "# now simulate choice\n",
    "# outcome career holds event type values, not counts\n",
    "career = jnp.repeat(jnp.nan, N)  # empty vector of choices for each individual\n",
    "# sample chosen career for each individual\n",
    "for i in range(N):\n",
    "    career = career.at[i].set(\n",
    "        dist.Categorical(probs=p).sample(random.PRNGKey(34302 + i))\n",
    "    )\n",
    "career = career.astype(jnp.int32)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.56"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [],
   "source": [
    "def model_m11_13(N, K, career_income, career):\n",
    "    # intercepts\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1).expand([K - 1]))\n",
    "    # association of income with choice\n",
    "    b = numpyro.sample(\"b\", dist.HalfNormal(0.5))\n",
    "    s_1 = a[0] + b * career_income[0]\n",
    "    s_2 = a[1] + b * career_income[1]\n",
    "    s_3 = 0  # pivot\n",
    "    p = nn.softmax(jnp.stack([s_1, s_2, s_3]))\n",
    "    numpyro.sample(\"career\", dist.Categorical(p), obs=career)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.57"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "02bdc5d9afde4bb59e9141e3a0976c43",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "99deb1a70d89413fa861a76e9862d7be",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "ddb3820f382a4b75bf2b1bf488eb3ec0",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8420c598cfd9498183fb886129a27a84",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.0%     95.0%     n_eff     r_hat\n",
      "      a[0]     -2.21      0.20     -2.19     -2.52     -1.88     84.60      1.05\n",
      "      a[1]     -1.85      0.30     -1.80     -2.29     -1.42     56.85      1.08\n",
      "         b      0.15      0.14      0.11      0.00      0.34     50.57      1.09\n",
      "\n",
      "Number of divergences: 94\n"
     ]
    }
   ],
   "source": [
    "dat_list = dict(N=N, K=3, career=career, career_income=income)\n",
    "m11_13 = MCMC(NUTS(model_m11_13), num_warmup=1000, num_samples=1000, num_chains=4)\n",
    "m11_13.run(random.PRNGKey(0), **dat_list)\n",
    "m11_13.print_summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.58"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.5%     94.5%     n_eff     r_hat\n",
      "   Param:0      0.05      0.05      0.03      0.00      0.11     47.54      1.05\n",
      "\n"
     ]
    }
   ],
   "source": [
    "post = m11_13.get_samples()\n",
    "\n",
    "# set up logit scores\n",
    "s1 = post[\"a\"][:, 0] + post[\"b\"] * income[0]\n",
    "s2_orig = post[\"a\"][:, 1] + post[\"b\"] * income[1]\n",
    "s2_new = post[\"a\"][:, 1] + post[\"b\"] * income[1] * 2\n",
    "\n",
    "# compute probabilities for original and counterfactual\n",
    "p_orig = vmap(lambda s1, s2: nn.softmax(jnp.stack([s1, s2, 0])))(s1, s2_orig)\n",
    "p_new = vmap(lambda s1, s2: nn.softmax(jnp.stack([s1, s2, 0])))(s1, s2_new)\n",
    "\n",
    "# summarize\n",
    "p_diff = p_new[:, 1] - p_orig[:, 1]\n",
    "print_summary(p_diff, 0.89, False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.59"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "8ec886980c334b1e80dce85f8642798f",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "e0ccad1e322f4b97ba25040d8823a741",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "2eca16bb9ee4451e8ad8eac8435174ab",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "dbfb6a8c31d14c989ec774ec359c5e31",
       "version_major": 2,
       "version_minor": 0
      },
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      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "                mean       std    median      5.0%     95.0%     n_eff     r_hat\n",
      "      a[0]     -1.42      0.28     -1.42     -1.89     -0.97   1988.68      1.00\n",
      "      a[1]     -0.57      0.20     -0.57     -0.88     -0.22   1873.82      1.00\n",
      "      b[0]     -2.54      0.58     -2.54     -3.47     -1.60   2017.84      1.00\n",
      "      b[1]     -2.17      0.41     -2.16     -2.82     -1.47   1873.55      1.00\n",
      "\n",
      "Number of divergences: 0\n"
     ]
    }
   ],
   "source": [
    "N = 500\n",
    "# simulate family incomes for each individual\n",
    "family_income = dist.Uniform().sample(random.PRNGKey(0), (N,))\n",
    "# assign a unique coefficient for each type of event\n",
    "b = jnp.array([-2, 0, 2])\n",
    "career = jnp.repeat(jnp.nan, N)  # empty vector of choices for each individual\n",
    "for i in range(N):\n",
    "    score = 0.5 * jnp.arange(1, 4) + b * family_income[i]\n",
    "    p = nn.softmax(score)\n",
    "    career = career.at[i].set(\n",
    "        dist.Categorical(probs=p).sample(random.PRNGKey(34302 + i))\n",
    "    )\n",
    "career = career.astype(jnp.int32)\n",
    "\n",
    "\n",
    "def model_m11_14(N, K, family_income, career):\n",
    "    # intercepts\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 1.5).expand([K - 1]))\n",
    "    # coefficients on family income\n",
    "    b = numpyro.sample(\"b\", dist.Normal(0, 1).expand([K - 1]))\n",
    "    s = a + b * family_income[..., None]\n",
    "    s_K = jnp.zeros((N, 1))  # the pivot\n",
    "    p = nn.softmax(jnp.concatenate([s, s_K], -1))\n",
    "    numpyro.sample(\"career\", dist.Categorical(p), obs=career)\n",
    "\n",
    "\n",
    "dat_list = dict(N=N, K=3, career=career, family_income=family_income)\n",
    "m11_14 = MCMC(NUTS(model_m11_14), num_warmup=1000, num_samples=1000, num_chains=4)\n",
    "m11_14.run(random.PRNGKey(0), **dat_list)\n",
    "m11_14.print_summary()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.60"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "UCBadmit = pd.read_csv(\"../data/UCBadmit.csv\", sep=\";\")\n",
    "d = UCBadmit"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.61"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 1000/1000 [00:00<00:00, 1852.24it/s, init loss: 734.6700, avg. loss [951-1000]: 478.5217]\n"
     ]
    },
    {
     "data": {
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       "model_id": "044a4b0ba4384207949da3da2d40acc4",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "63eee8a096ea4ba0912c520f4f1c1e8f",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "application/vnd.jupyter.widget-view+json": {
       "model_id": "79c53f531f9a4adea4fc94350c3e77b5",
       "version_major": 2,
       "version_minor": 0
      },
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     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# binomial model of overall admission probability\n",
    "def model(applications, admit):\n",
    "    a = numpyro.sample(\"a\", dist.Normal(0, 100))\n",
    "    logit_p = a\n",
    "    numpyro.sample(\"admit\", dist.Binomial(applications, logits=logit_p), obs=admit)\n",
    "\n",
    "\n",
    "m_binom = AutoLaplaceApproximation(model)\n",
    "svi = SVI(\n",
    "    model,\n",
    "    m_binom,\n",
    "    optim.Adam(1),\n",
    "    Trace_ELBO(),\n",
    "    applications=d.applications.values,\n",
    "    admit=d.admit.values,\n",
    ")\n",
    "svi_result = svi.run(random.PRNGKey(0), 1000)\n",
    "p_binom = svi_result.params\n",
    "\n",
    "# Poisson model of overall admission rate and rejection rate\n",
    "d[\"rej\"] = d.reject\n",
    "\n",
    "\n",
    "def model(rej, admit):\n",
    "    a1, a2 = numpyro.sample(\"a\", dist.Normal(0, 100).expand([2]))\n",
    "    lambda1 = jnp.exp(a1)\n",
    "    lambda2 = jnp.exp(a2)\n",
    "    numpyro.sample(\"rej\", dist.Poisson(lambda2), obs=rej)\n",
    "    numpyro.sample(\"admit\", dist.Poisson(lambda1), obs=admit)\n",
    "\n",
    "\n",
    "m_pois = MCMC(NUTS(model), num_warmup=1000, num_samples=1000, num_chains=3)\n",
    "m_pois.run(random.PRNGKey(0), d.rej.values, d.admit.values)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.62"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DeviceArray(0.3877594, dtype=float32)"
      ]
     },
     "execution_count": 63,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "expit(m_binom.median(p_binom)[\"a\"])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Code 11.63"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "DeviceArray(0.38763952, dtype=float32)"
      ]
     },
     "execution_count": 64,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "k = jnp.mean(m_pois.get_samples()[\"a\"], 0)\n",
    "a1 = k[0]\n",
    "a2 = k[1]\n",
    "jnp.exp(a1) / (jnp.exp(a1) + jnp.exp(a2))"
   ]
  }
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