lesson_06_pymc3-bayes.ipynb

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   "source": [
    "我想医生们也还是需要大量进行\"传统\"的统计学分析的. 这几天正好看到了一个关于贝叶斯分析的PyMC包, 用来做概率计算. 下面的文章里讲解了临床最常见的一些统计应用, 比如参数估计, 组间比较. 看着写起来也不困难, 供参考. \n",
    "\n",
    "----\n",
    "\n",
    "本文翻译自[Eric Ma](https://github.com/ericmjl)在PyCon2017上的演讲Bayesian Statistical Analysis with Python\n",
    "\n",
    "讲解了使用PyMC3进行基本的贝叶斯统计分析过程. 是很好的PyMC3和贝叶斯统计分析的入门教程. \n",
    "\n",
    "* [演讲Slides原文](https://github.com/ericmjl/bayesian-stats-talk) \n",
    "* [演讲视频(youtube)](https://www.youtube.com/watch?time_continue=3&v=p1IB4zWq9C8)"
   ]
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  {
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   "source": [
    "# Imports\n",
    "import pymc3 as pm # python的概率编程包\n",
    "import numpy.random as npr # numpy是用来做科学计算的\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt # matplotlib是用来画图的\n",
    "import matplotlib as mpl\n",
    "\n",
    "from collections import Counter # ? \n",
    "import seaborn as sns # ? \n",
    "# import missingno as msno # 用来应对缺失的数据\n",
    "\n",
    "# Set plotting style\n",
    "# plt.style.use('fivethirtyeight')\n",
    "sns.set_style('white')\n",
    "sns.set_context('poster')\n",
    "\n",
    "%load_ext autoreload\n",
    "%autoreload 2\n",
    "%matplotlib inline\n",
    "%config InlineBackend.figure_format = 'retina'\n",
    "\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   "source": [
    "# 使用python进行贝叶斯统计分析\n",
    "\n",
    "Eric J. Ma, MIT Biological Engineering, Insight Health Data Science Fellow, NIBR Data Science\n",
    "\n",
    "PyCon 2017, Portland, OR; PyData Boston 2017, Boston, MA\n",
    "\n",
    "- HTML Notebook on GitHub: [**ericmjl**.github.io/**bayesian-stats-talk**](https://ericmjl.github.io/bayesian-stats-talk)\n",
    "- Twitter: [@ericmjl](https://twitter.com/ericmjl)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "## 本讲座优点"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- **最少的专业术语：**让我们专注于分析原理，而不是术语。 *例如。 将不会解释A / B测试，spike & slab回归，共轭分布... *"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- **帕雷托原则：**你需要的80％都是基本知识"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    " - **享受讲座：**专注于贝叶斯，以后再看代码！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 假设已经掌握的知识"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- 熟悉Python:\n",
    "    - 对象 & 方法\n",
    "    - context manager syntax"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "slide_type": "fragment"
    }
   },
   "source": [
    "- 了解基本的统计学术语: \n",
    "    - mean: 均值\n",
    "    - variance: 方差\n",
    "    - interval: 置信区间"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](https://raw.githubusercontent.com/ericmjl/bayesian-stats-talk/master/images/beliefs.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 贝叶斯公式"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "$$ P(H|D) = \\frac{P(D|H)P(H)}{P(D)} $$\n",
    "\n",
    "- $ P（H|D）$：在给定数据的情况下, 假设为真的概率。(Probability that the hypothesis is true given the data.)\n",
    "- $ P（D|H）$：假设为真时, 数据事件发生的概率。(Probability of the data arising given the hypothesis.)\n",
    "- $ P（H）$：假设发生的概率。(Probability that the hypothesis is true, globally.)\n",
    "- $ P（D）$：数据事件发生的概率。(Probability of the data arising, globally.)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
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    }
   },
   "source": [
    "![](https://qph.ec.quoracdn.net/main-qimg-4f187b486bb35176d82ad942dcb20fee-c)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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   },
   "source": [
    "## 贝叶斯主义者的思维方式\n",
    "\n",
    "> 根据证据不断更新信念"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## `pymc3`\n",
    "\n",
    "![](https://github.com/pymc-devs/pymc3/blob/master/docs/pymc3_logo.jpg?raw=true)\n",
    "\n",
    "- 用于指定统计模型的**统计分布**，**抽样算法**和**语法**的库\n",
    "- 一切都用Python！"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 常见的统计分析问题"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- **参数估计**: \"真实值是否等于X\"\n",
    "\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- **比较两组实验数据**: \"实验组是否与对照组不同? \""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 问题1: 参数估计\n",
    "\n",
    "\"真实值是否等于X?\"\n",
    "\n",
    "或者说\n",
    "\n",
    "\"给定数据，对于感兴趣的参数，可能值的概率分布是多少？\""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 例 1: 抛硬币问题\n",
    "\n",
    "我把我的硬币抛了$ n $次，正面是$ h $次。 这枚硬币是有偏心的吗？"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 参数估计问题parameterized problem\n",
    "\n",
    "“我想知道的是抛出正面的概率$ p $，假设$ n $次抛硬币中有$ h $次观察到是正面，$ p $的值是否足够接近$ 0.5 $，比如在$ [0.48，0.52] $？“"
   ]
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   "source": [
    "## 先验假设\n",
    "\n",
    "- 对参数预先的假设分布: $ p \\sim Uniform(0, 1) $\n",
    "- likelihood function(似然函数, 翻译这词还不如英文原文呢): $ data \\sim Bernoulli(p) $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
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     "slide_type": "fragment"
    }
   },
   "source": [
    "![](./images/coin_model.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
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    "collapsed": true,
    "scrolled": true,
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   "outputs": [],
   "source": [
    "# 产生所需要的数据\n",
    "from random import shuffle\n",
    "total = 30\n",
    "n_heads = 11\n",
    "n_tails = total - n_heads\n",
    "tosses = [1] * n_heads + [0] * n_tails\n",
    "shuffle(tosses)"
   ]
  },
  {
   "cell_type": "markdown",
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   },
   "source": [
    "## 数据"
   ]
  },
  {
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     "slide_type": "fragment"
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   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0]\n"
     ]
    }
   ],
   "source": [
    "print(tosses)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:41:47.952519Z",
     "start_time": "2017-12-29T05:41:47.877162Z"
    },
    "collapsed": true,
    "slideshow": {
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   },
   "outputs": [],
   "source": [
    "def plot_coins():\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(1,1,1)\n",
    "    ax.bar(list(Counter(tosses).keys()), list(Counter(tosses).values()))\n",
    "    ax.set_xticks([0, 1])\n",
    "    ax.set_xticklabels(['tails', 'heads'])\n",
    "    ax.set_ylim(0, 20)\n",
    "    ax.set_yticks(np.arange(0, 21, 5))\n",
    "    return fig"
   ]
  },
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    {
     "data": {
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dG6rqqiS3T3LQDlwTAAC6t2Hr0K/RbSfta1fR/1uLHAcAALudWQn005dEXb+K/teNP/eo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\nAOiYQA8AAB0T6AEAoGMCPQAAdOz/AxOoMdurCk76AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ac08e48>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 263,
       "width": 378
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_coins()\n",
    "plt.show()    "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:26.753880Z",
     "start_time": "2017-12-29T05:41:48.657577Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "# Context manager syntax. `coin_model` is **just** \n",
    "# a placeholder\n",
    "with pm.Model() as coin_model: \n",
    "    # Distributions are PyMC3 objects.\n",
    "    # Specify prior using Uniform object.\n",
    "    p_prior = pm.Uniform('p', 0, 1)  \n",
    "    \n",
    "    # Specify likelihood using Bernoulli object.\n",
    "    like = pm.Bernoulli('likelihood', p=p_prior, \n",
    "                        observed=tosses)  \n",
    "                        # \"observed=data\" is key\n",
    "                        # for likelihood."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## MCMC Inference Button (TM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:45.873459Z",
     "start_time": "2017-12-29T05:42:26.761457Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2500/2500 [00:03<00:00, 832.65it/s]\n"
     ]
    }
   ],
   "source": [
    "with coin_model:\n",
    "    # don't worry about this:\n",
    "    step = pm.Metropolis()\n",
    "    \n",
    "    # focus on this, the Inference Button:\n",
    "    coin_trace = pm.sample(2000, step=step)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:46.587581Z",
     "start_time": "2017-12-29T05:42:45.877060Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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GmFEfqNbanwM/wD3GOhJ4V0F7KTNeuY7b+UNRtnf72NHtIxCOlro7ZS2fM9Vj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\nfbvDegAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11eb19ba8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 135,
       "width": 865
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(coin_trace)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:47.312853Z",
     "start_time": "2017-12-29T05:42:46.589771Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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S1KBBAy1YsMDp+YxleBn69eunt99+2+lmr4mJiXrhhRe0bds2q80777xTKNXwfh3Rz7rH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KAAAC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\nkCUAAIAReabPlc3PaqQAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11ed9bba8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 421
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(coin_trace[100:], color='#87ceeb', \n",
    "                  rope=[0.48, 0.52], point_estimate='mean', \n",
    "                  ref_val=0.5)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- <font style=\"color:black; font-weight:bold\">95% highest posterior density (HPD, 大概类似于置信区间)</font> 包含了 <font style=\"color:red; font-weight:bold\">region of practical equivalence (ROPE, 实际等同区间)</font>. \n",
    "- 需要更多的数据!"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "# 模式\n",
    "\n",
    "1. 使用统计分布参数化您的问题\n",
    "1. 修正你的模型结构\n",
    "1. 在PyMC3中编写模型，点击**Inference 按钮<sup>TM</sup>**\n",
    "1. 根据后验分布进行解释\n",
    "1. （可选）如果有新信息，修改模型结构。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 例 2: 药品活性问题\n",
    "\n",
    "我有一个新开发的分子X; X在阻止流感病毒复制方面有多好？\n",
    "<!-- mention verbally about the context: flu, replicating, need molecule to stop it -->"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 实验\n",
    "\n",
    "- 测试X的浓度范围, 测量流感活性\n",
    "\n",
    "- 计算 **IC<sub>50</sub>**: 能够抑制病毒复制活性50%的X浓度. "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## data\n",
    "\n",
    "![](./images/ic50_data.jpg)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:47.388980Z",
     "start_time": "2017-12-29T05:42:47.314838Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "chem_data = [(0.00080, 99),\n",
    "(0.00800, 91),\n",
    "(0.08000, 89),\n",
    "(0.40000, 89),\n",
    "(0.80000, 79),\n",
    "(1.60000, 61),\n",
    "(4.00000, 39),\n",
    "(8.00000, 25),\n",
    "(80.00000, 4)]\n",
    "\n",
    "import pandas as pd\n",
    "\n",
    "chem_df = pd.DataFrame(chem_data)\n",
    "chem_df.columns = ['concentration', 'activity']\n",
    "chem_df['concentration_log'] = chem_df['concentration'].apply(lambda x:np.log10(x))\n",
    "# df.set_index('concentration', inplace=True)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 参数化问题parameterized problem\n",
    "\n",
    "给定数据, 求出化学物质的**IC<sub>50</sub>**值是多少, 并且求出置信区间( 原文中the uncertainty surrounding it, 后面看类似置信区间的含义)?"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## 先验知识\n",
    "\n",
    "- 由药学知识已知测量函数(measurement function): $ m = \\frac{\\beta}{1 + e^{x - IC_{50}}} $\n",
    "- 测量函数中的参数估计, 来自先验知识: $ \\beta \\sim HalfNormal(100^2) $\n",
    "- 关于感兴趣参数的先验知识: $ log(IC_{50}) \\sim ImproperFlat $\n",
    "- likelihood function: $ data \\sim N(m, 1) $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](./images/ic50_model.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:47.496556Z",
     "start_time": "2017-12-29T05:42:47.391620Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def plot_chemical_data(log=True):\n",
    "    fig = plt.figure(figsize=(10,6))\n",
    "    ax = fig.add_subplot(1,1,1)\n",
    "    if log:\n",
    "        ax.scatter(x=chem_df['concentration_log'], y=chem_df['activity'])\n",
    "        ax.set_xlabel('log10(concentration (mM))', fontsize=20)\n",
    "    else:\n",
    "        ax.scatter(x=chem_df['concentration'], y=chem_df['activity'])\n",
    "        ax.set_xlabel('concentration (mM)', fontsize=20)\n",
    "    ax.set_xticklabels([int(i) for i in ax.get_xticks()], fontsize=18)\n",
    "    ax.set_yticklabels([int(i) for i in ax.get_yticks()], fontsize=18)\n",
    "    \n",
    "    plt.hlines(y=50, xmin=min(ax.get_xlim()), xmax=max(ax.get_xlim()), linestyles='--',)\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:42:48.094687Z",
     "start_time": "2017-12-29T05:42:47.499451Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
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asAwAAAAAasIyAAAAAKgJywAAAACgJiwDAAAAgJqwDAAAAABqwjIAAAAAqAnL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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11edbf6d8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 390,
       "width": 613
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_chemical_data(log=True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:05.985010Z",
     "start_time": "2017-12-29T05:42:48.097554Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as ic50_model: # 都是以这句开头, with pm.Models() as 自己取个名字: \n",
    "    beta = pm.HalfNormal('beta', sd=100**2) # 每个参数需要规定分布, 用pm.xxx定义了分布函数\n",
    "    ic50_log10 = pm.Flat('IC50_log10')  # Flat prior\n",
    "    # MATH WITH DISTRIBUTION OBJECTS! # 测量函数的计算过程, 这个也是来自于先验知识\n",
    "    measurements = beta / (1 + np.exp(chem_df['concentration_log'].values - \n",
    "                                      ic50_log10))\n",
    "    \n",
    "    y_like = pm.Normal('y_like', mu=measurements, \n",
    "                       observed=chem_df['activity']) # 这是啥? \n",
    "    # Deterministic transformations.\n",
    "    ic50 = pm.Deterministic('IC50', np.power(10, ic50_log10)) # ic50_log10是在对数域, 要转换回来"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## MCMC Inference Button (TM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:56.871264Z",
     "start_time": "2017-12-29T05:43:05.988186Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 100500/100500 [00:41<00:00, 2411.75it/s]\n"
     ]
    }
   ],
   "source": [
    "with ic50_model: # 在之前定义的模型中模拟\n",
    "    step = pm.Metropolis() # 标准步骤, 照写\n",
    "    ic50_trace = pm.sample(100000, step=step) # 随机模拟过程, 重采样的次数手工指定"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:58.466787Z",
     "start_time": "2017-12-29T05:43:56.874958Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
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7Sj46h0J0Doeor6nixGVNNNWVfYi/IrX1B9h9fJhwNM7yhXW89MQlqmtX4cry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\nM4kRoxZZX4ZXOGJY9mra3dDLcbPGl6x5oCW+rJnxCEcMGns84x5bJqvvm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LC/2dEfqALo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\ngg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fb0d7f0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 853
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(ic50_trace[2000:], varnames=['IC50_log10', 'IC50'])  # live: sample from step 2000 onwards.\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:59.020891Z",
     "start_time": "2017-12-29T05:43:58.468532Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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Qu+NWz3hDcrvVbtC1Co9qUK6+zzS+u9llphypsLrth1yvkKqeTTUO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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fb65a20>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 422
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(ic50_trace[4000:], varnames=['IC50'], \n",
    "                  color='#87ceeb', point_estimate='mean')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "该化学物质的 IC<sub>50</sub> 大约在[2 mM, 2.4 mM] (95% HPD). 这不是个好的药物候选者. 在这个问提上不确定性影响不大, 看看单位数量级就知道IC<sub>50</sub>在毫摩的物质没什么用... "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 第二类问题: 实验组之间的比较\n",
    "\n",
    "\"实验组和对照组之间是否有差别? \""
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 例 1: 药品对IQ的影响问题\n",
    "\n",
    "药品治疗是否影响(提高)IQ分数? \n",
    "\n",
    "(documented in Kruschke, 2013, example modified from PyMC3 documentation)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:59.204283Z",
     "start_time": "2017-12-29T05:43:59.023675Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "drug = [  99.,  110.,  107.,  104.,  103.,  105.,  105.,  110.,   99.,\n",
    "        109.,  100.,  102.,  104.,  104.,  100.,  104.,  101.,  104.,\n",
    "        101.,  100.,  109.,  104.,  105.,  112.,   97.,  106.,  103.,\n",
    "        101.,  101.,  104.,   96.,  102.,  101.,  100.,   92.,  108.,\n",
    "         97.,  106.,   96.,   90.,  109.,  108.,  105.,  104.,  110.,\n",
    "         92.,  100.]\n",
    "\n",
    "placebo = [  95.,  105.,  103.,   99.,  104.,   98.,  103.,  104.,  102.,\n",
    "         91.,   97.,  101.,  100.,  113.,   98.,  102.,  100.,  105.,\n",
    "         97.,   94.,  104.,   92.,   98.,  105.,  106.,  101.,  106.,\n",
    "        105.,  101.,  105.,  102.,   95.,   91.,   99.,   96.,  102.,\n",
    "         94.,   93.,   99.,   99.,  113.,   96.]\n",
    "\n",
    "def ECDF(data):\n",
    "    x = np.sort(data)\n",
    "    y = np.cumsum(x) / np.sum(x)\n",
    "    \n",
    "    return x, y\n",
    "\n",
    "def plot_drug():\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(1,1,1)\n",
    "    x_drug, y_drug = ECDF(drug)\n",
    "    ax.plot(x_drug, y_drug, label='drug, n={0}'.format(len(drug)))\n",
    "    x_placebo, y_placebo = ECDF(placebo)\n",
    "    ax.plot(x_placebo, y_placebo, label='placebo, n={0}'.format(len(placebo)))\n",
    "    ax.legend()\n",
    "    ax.set_xlabel('IQ Score')\n",
    "    ax.set_ylabel('Cumulative Frequency')\n",
    "    ax.hlines(0.5, ax.get_xlim()[0], ax.get_xlim()[1], linestyle='--')\n",
    "    \n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:59.293532Z",
     "start_time": "2017-12-29T05:43:59.213372Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ttest_indResult(statistic=2.2806701634329549, pvalue=0.025011500508647616)"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Eric Ma自己很好奇, 从频率主义的观点, 差别是否已经是具有\"具有统计学意义\"\n",
    "\n",
    "from scipy.stats import ttest_ind\n",
    "\n",
    "ttest_ind(drug, placebo) # (非配对) t检验. P=0.025, 已经<0.05了"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 实验\n",
    "\n",
    "- 参与者被随机分为两组: \n",
    "    - `给药组` vs. `安慰剂组`\n",
    "- 测量参与者的IQ分数"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## 先验知识\n",
    "- 被测数据符合t分布: $ data \\sim StudentsT(\\mu, \\sigma, \\nu) $\n",
    "\n",
    "以下为t分布的几个参数: \n",
    "- 均值符合正态分布: $ \\mu \\sim N(0, 100^2) $\n",
    "- 自由度(degrees of freedom)符合指数分布: $ \\nu \\sim Exp(30) $\n",
    "- 方差是positively-distributed: $ \\sigma \\sim HalfCauchy(100^2) $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](./images/kruschke_model.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:59.767783Z",
     "start_time": "2017-12-29T05:43:59.295756Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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xtMMSKTGBGrHJSW4uM8ZcCQwHriH/vWmO4iRA/7PWfheoeEREpGw5ceIEjz32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\nIiIiIiJ17/8DQXGKpVgIX78AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11fb79fd0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 278,
       "width": 411
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig = plot_drug()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:43:59.847181Z",
     "start_time": "2017-12-29T05:43:59.771289Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "y_vals = np.concatenate([drug, placebo])\n",
    "labels = ['drug'] * len(drug) + ['placebo'] * len(placebo)\n",
    "\n",
    "data = pd.DataFrame([y_vals, labels]).T\n",
    "data.columns = ['IQ', 'treatment']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:44:12.040627Z",
     "start_time": "2017-12-29T05:43:59.849932Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as kruschke_model:\n",
    "    # Focus on the use of Distribution Objects.\n",
    "    # Linking Distribution Objects together is done by \n",
    "    # passing objects into other objects' parameters.\n",
    "    \n",
    "    # 标准建模动作, 用pm.Xxx指定先验知识, 也就是各个参数的分布\n",
    "    # 注意给药组和对照组的参数要分开单独设定, \n",
    "    mu_drug = pm.Normal('mu_drug', mu=0, sd=100**2)\n",
    "    mu_placebo = pm.Normal('mu_placebo', mu=0, sd=100**2)\n",
    "    sigma_drug = pm.HalfCauchy('sigma_drug', beta=100) \n",
    "    sigma_placebo = pm.HalfCauchy('sigma_placebo', beta=100)\n",
    "    nu = pm.Exponential('nu', lam=1/29) + 1\n",
    "    \n",
    "    # 代入参数, 为两组的分布建模\n",
    "    drug_like = pm.StudentT('drug', nu=nu, mu=mu_drug, \n",
    "                            sd=sigma_drug, observed=drug)\n",
    "    placebo_like = pm.StudentT('placebo', nu=nu, mu=mu_placebo, \n",
    "                               sd=sigma_placebo, observed=placebo)\n",
    "    \n",
    "    # 计算组间均值的差距\n",
    "    diff_means = pm.Deterministic('diff_means', mu_drug - mu_placebo)\n",
    "    \n",
    "    # 这俩是啥? \n",
    "    pooled_sd = pm.Deterministic('pooled_sd', \n",
    "                                 np.sqrt(np.power(sigma_drug, 2) + \n",
    "                                         np.power(sigma_placebo, 2) / 2))\n",
    "    effect_size = pm.Deterministic('effect_size', \n",
    "                                   diff_means / pooled_sd)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## MCMC Inference Button (TM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:44:57.725612Z",
     "start_time": "2017-12-29T05:44:12.043703Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "WARNING (theano.configdefaults): install mkl with `conda install mkl-service`: No module named 'mkl'\n",
      "100%|██████████| 10500/10500 [00:16<00:00, 622.64it/s]\n"
     ]
    }
   ],
   "source": [
    "with kruschke_model:\n",
    "    kruschke_trace = pm.sample(10000, step=pm.Metropolis()) # 标准动作, 照写"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:44:58.957519Z",
     "start_time": "2017-12-29T05:44:57.728724Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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avAEqyopZPn+mvtOIFJi+cIS2niAVpcXMm1me0TSeU4metdxwHIdNtZ3Ud7hz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\nkar4f08iSrKz2xkqAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122df2128>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 853
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.traceplot(kruschke_trace[2000:], \n",
    "             varnames=['mu_drug', 'mu_placebo'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:00.496048Z",
     "start_time": "2017-12-29T05:44:58.959883Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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eeQtMmvG8hHCOEHwM9JAmANWUryvi+KMS7NU9ZeZAJXJIGq3wCnNVDu/wGDY4xz6qhj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\nYcOatNZUdprAEELBx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Oeee7jwwguZMmUKEydOrLWuUdYxxxzD5ZdfXmtfRUUFN910E0OG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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x122ed78d0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 351,
       "width": 855
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.plot_posterior(kruschke_trace[2000:], color='#87ceeb',\n",
    "            varnames=['mu_drug', 'mu_placebo', 'diff_means'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- IQ均值的差距为: [0.5, 4.6]\n",
    "- 频率主义的 p-value: $ 0.02 $ (!!!!!!!!)\n",
    "\n",
    "注: IQ的差异在10以上才有点意义. p-value=0.02说明组间有差异, 但没说差异有多大. 这个故事说的是虽然有差异, 但是差异太小了, 也没啥意思. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:00.569829Z",
     "start_time": "2017-12-29T05:45:00.499762Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def get_forestplot_line(ax, kind):\n",
    "    widths = {'median': 2.8, 'iqr': 2.0, 'hpd': 1.0}\n",
    "    assert kind in widths.keys() #f'line kind must be one of {widths.keys()}'\n",
    "    lines = []\n",
    "    for child in ax.get_children():\n",
    "        if isinstance(child, mpl.lines.Line2D) and np.allclose(child.get_lw(), widths[kind]):\n",
    "            lines.append(child)\n",
    "    return lines\n",
    "\n",
    "def adjust_forestplot_for_slides(ax):    \n",
    "    for line in get_forestplot_line(ax, kind='median'):\n",
    "        line.set_markersize(10)\n",
    "\n",
    "    for line in get_forestplot_line(ax, kind='iqr'):\n",
    "        line.set_linewidth(5)\n",
    "\n",
    "    for line in get_forestplot_line(ax, kind='hpd'):\n",
    "        line.set_linewidth(3)\n",
    "        \n",
    "    return ax"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:01.013816Z",
     "start_time": "2017-12-29T05:45:00.572176Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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D4KgOJ6eFqe+mnbds/7Rhos/Pmgkw/mKGx/DWYf+L0trwBWnnyHppWu8eQJJkxcTEjMPP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\nJLXwN7lh8egR3QREAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x12078dda0>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 298,
       "width": 425
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "pm.forestplot(kruschke_trace[2000:], \n",
    "          varnames=['mu_drug', 'mu_placebo'])\n",
    "ax = plt.gca()\n",
    "ax = adjust_forestplot_for_slides(ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "**森林图**：在同一轴上的95％HPD（细线），IQR（粗线）和后验分布的中位数（点），使我们能够直接比较治疗组和对照组。\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:01.072008Z",
     "start_time": "2017-12-29T05:45:01.015816Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def overlay_effect_size(ax):\n",
    "    height = ax.get_ylim()[1] * 0.5\n",
    "    ax.hlines(height, 0, 0.2, 'red', lw=5)\n",
    "    ax.hlines(height, 0.2, 0.8, 'blue', lw=5)\n",
    "    ax.hlines(height, 0.8, ax.get_xlim()[1], 'green', lw=5)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:01.723291Z",
     "start_time": "2017-12-29T05:45:01.074248Z"
    },
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "outputs": [
    {
     "data": {
      "image/png": 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OfeRhffnll+Veu+Kzfyvh87crLuLxKDIqWtENGymudTu16dlbx55+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\nFMCJiIiIiIhkCAVwIiIiIiIiGeL/AwVVOrWJNF2FAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11f8c8ba8>"
      ]
     },
     "metadata": {
      "image/png": {
       "height": 279,
       "width": 440
      }
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = pm.plot_posterior(kruschke_trace[2000:], \n",
    "                       varnames=['effect_size'],\n",
    "                       color='#87ceeb')\n",
    "overlay_effect_size(ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "source": [
    "- 效果大小（Cohen's d, <font style=\"color:red;\">效果微小</font>, <font style=\"color:blue;\">效果中等</font>, <font style=\"color:green;\">效果很大</font>）可以从微小到很大（95％HPD [0.0，0.77]）。\n",
    "- 智商提高0-4分。\n",
    "- 这种药很可能是无关紧要的。\n",
    "- 没有**生物学意义**的证据。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 例 2: 手机消毒问题\n",
    "\n",
    "比较两种常用的消毒方法, 和我的fancy方法, 哪种消毒方法更好"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 实验设计\n",
    "\n",
    "- 将手机随机分到6组: 4 \"fancy\" 方法 + 2 \"control\" 方法.\n",
    "- 处理前后对手机表面进行拭子菌培养\n",
    "- **count** 菌落数量, 比较处理前后的菌落计数"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.107380Z",
     "start_time": "2017-12-29T05:45:01.728026Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [
    {
     "ename": "FileNotFoundError",
     "evalue": "File b'datasets/smartphone_sanitization_manuscript.csv' does not exist",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
      "\u001b[0;32m<ipython-input-29-d175aead8ff4>\u001b[0m in \u001b[0;36m<module>\u001b[0;34m()\u001b[0m\n\u001b[1;32m      8\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[0;31m# Reload the data one more time.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m---> 10\u001b[0;31m \u001b[0mdata\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mpd\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mread_csv\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0;34m'datasets/smartphone_sanitization_manuscript.csv'\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mna_values\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'#DIV/0!'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m     11\u001b[0m \u001b[0;32mdel\u001b[0m \u001b[0mdata\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'perc_reduction colonies'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m     12\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/blog/lib/python3.5/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36mparser_f\u001b[0;34m(filepath_or_buffer, sep, delimiter, header, names, index_col, usecols, squeeze, prefix, mangle_dupe_cols, dtype, engine, converters, true_values, false_values, skipinitialspace, skiprows, nrows, na_values, keep_default_na, na_filter, verbose, skip_blank_lines, parse_dates, infer_datetime_format, keep_date_col, date_parser, dayfirst, iterator, chunksize, compression, thousands, decimal, lineterminator, quotechar, quoting, escapechar, comment, encoding, dialect, tupleize_cols, error_bad_lines, warn_bad_lines, skipfooter, skip_footer, doublequote, delim_whitespace, as_recarray, compact_ints, use_unsigned, low_memory, buffer_lines, memory_map, float_precision)\u001b[0m\n\u001b[1;32m    653\u001b[0m                     skip_blank_lines=skip_blank_lines)\n\u001b[1;32m    654\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 655\u001b[0;31m         \u001b[0;32mreturn\u001b[0m \u001b[0m_read\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    656\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    657\u001b[0m     \u001b[0mparser_f\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m__name__\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mname\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/blog/lib/python3.5/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m_read\u001b[0;34m(filepath_or_buffer, kwds)\u001b[0m\n\u001b[1;32m    403\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    404\u001b[0m     \u001b[0;31m# Create the parser.\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 405\u001b[0;31m     \u001b[0mparser\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mTextFileReader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mfilepath_or_buffer\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    406\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    407\u001b[0m     \u001b[0;32mif\u001b[0m \u001b[0mchunksize\u001b[0m \u001b[0;32mor\u001b[0m \u001b[0miterator\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/blog/lib/python3.5/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, f, engine, **kwds)\u001b[0m\n\u001b[1;32m    762\u001b[0m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moptions\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'has_index_names'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mkwds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'has_index_names'\u001b[0m\u001b[0;34m]\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    763\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 764\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_make_engine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mengine\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    765\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    766\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0mclose\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/blog/lib/python3.5/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m_make_engine\u001b[0;34m(self, engine)\u001b[0m\n\u001b[1;32m    983\u001b[0m     \u001b[0;32mdef\u001b[0m \u001b[0m_make_engine\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0mengine\u001b[0m\u001b[0;34m=\u001b[0m\u001b[0;34m'c'\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    984\u001b[0m         \u001b[0;32mif\u001b[0m \u001b[0mengine\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'c'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m--> 985\u001b[0;31m             \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_engine\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mCParserWrapper\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mf\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0moptions\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m    986\u001b[0m         \u001b[0;32melse\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m    987\u001b[0m             \u001b[0;32mif\u001b[0m \u001b[0mengine\u001b[0m \u001b[0;34m==\u001b[0m \u001b[0;34m'python'\u001b[0m\u001b[0;34m:\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32m~/anaconda3/envs/blog/lib/python3.5/site-packages/pandas/io/parsers.py\u001b[0m in \u001b[0;36m__init__\u001b[0;34m(self, src, **kwds)\u001b[0m\n\u001b[1;32m   1603\u001b[0m         \u001b[0mkwds\u001b[0m\u001b[0;34m[\u001b[0m\u001b[0;34m'allow_leading_cols'\u001b[0m\u001b[0;34m]\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mindex_col\u001b[0m \u001b[0;32mis\u001b[0m \u001b[0;32mnot\u001b[0m \u001b[0;32mFalse\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1604\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0;32m-> 1605\u001b[0;31m         \u001b[0mself\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0m_reader\u001b[0m \u001b[0;34m=\u001b[0m \u001b[0mparsers\u001b[0m\u001b[0;34m.\u001b[0m\u001b[0mTextReader\u001b[0m\u001b[0;34m(\u001b[0m\u001b[0msrc\u001b[0m\u001b[0;34m,\u001b[0m \u001b[0;34m**\u001b[0m\u001b[0mkwds\u001b[0m\u001b[0;34m)\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n\u001b[0m\u001b[1;32m   1606\u001b[0m \u001b[0;34m\u001b[0m\u001b[0m\n\u001b[1;32m   1607\u001b[0m         \u001b[0;31m# XXX\u001b[0m\u001b[0;34m\u001b[0m\u001b[0;34m\u001b[0m\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/parsers.pyx\u001b[0m in \u001b[0;36mpandas._libs.parsers.TextReader.__cinit__ (pandas/_libs/parsers.c:4209)\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;32mpandas/_libs/parsers.pyx\u001b[0m in \u001b[0;36mpandas._libs.parsers.TextReader._setup_parser_source (pandas/_libs/parsers.c:8873)\u001b[0;34m()\u001b[0m\n",
      "\u001b[0;31mFileNotFoundError\u001b[0m: File b'datasets/smartphone_sanitization_manuscript.csv' does not exist"
     ]
    }
   ],
   "source": [
    "renamed_treatments = dict()\n",
    "renamed_treatments['FBM_2'] = 'FM1'\n",
    "renamed_treatments['bleachwipe'] = 'CTRL1'\n",
    "renamed_treatments['ethanol'] = 'CTRL2'\n",
    "renamed_treatments['kimwipe'] = 'FM2'\n",
    "renamed_treatments['phonesoap'] = 'FM3'\n",
    "renamed_treatments['quatricide'] = 'FM4'\n",
    "\n",
    "# Reload the data one more time.\n",
    "data = pd.read_csv('datasets/smartphone_sanitization_manuscript.csv', na_values=['#DIV/0!'])\n",
    "del data['perc_reduction colonies']\n",
    "\n",
    "# Exclude cellblaster data\n",
    "data = data[data['treatment'] != 'CB30']\n",
    "data = data[data['treatment'] != 'cellblaster']\n",
    "\n",
    "# Rename treatments\n",
    "data['treatment'] = data['treatment'].apply(lambda x: renamed_treatments[x])\n",
    "\n",
    "# Sort the data according to the treatments.\n",
    "treatment_order = ['FM1', 'FM2', 'FM3', 'FM4', 'CTRL1', 'CTRL2']\n",
    "data['treatment'] = data['treatment'].astype('category')\n",
    "data['treatment'].cat.set_categories(treatment_order, inplace=True)\n",
    "data['treatment'] = data['treatment'].cat.codes.astype('int32')\n",
    "data = data.sort_values(['treatment']).reset_index(drop=True)\n",
    "data['site'] = data['site'].astype('category').cat.codes.astype('int32')\n",
    "\n",
    "data['frac_change_colonies'] = ((data['colonies_post'] - data['colonies_pre']) \n",
    "                                / data['colonies_pre'])\n",
    "data['frac_change_colonies'] = pm.floatX(data['frac_change_colonies'])\n",
    "del data['screen protector']\n",
    "\n",
    "# Change dtypes to int32 for GPU usage.\n",
    "def change_dtype(data, dtype='int32'):\n",
    "    return data.astype(dtype)\n",
    "\n",
    "cols_to_change_ints = ['sample_id', 'colonies_pre', 'colonies_post',\n",
    "                       'morphologies_pre', 'morphologies_post', 'phone ID']\n",
    "\n",
    "cols_to_change_floats = ['year', 'month', 'day', 'perc_reduction morph',\n",
    "                         'phone ID', 'no case',]\n",
    "\n",
    "for col in cols_to_change_ints:\n",
    "    data[col] = change_dtype(data[col], dtype='int32')\n",
    "    \n",
    "for col in cols_to_change_floats:\n",
    "    data[col] = change_dtype(data[col], dtype='float32')\n",
    "\n",
    "data.dtypes\n",
    "\n",
    "\n",
    "# # filter the data such that we have only PhoneSoap (PS-300) and Ethanol (ET)\n",
    "# data_filtered = data[(data['treatment'] == 'PS-300') | (data['treatment'] == 'QA')]\n",
    "# data_filtered = data_filtered[data_filtered['site'] == 'phone']\n",
    "# data_filtered.sample(10)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 数据"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.108249Z",
     "start_time": "2017-12-29T05:41:44.852Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "def plot_colonies_data():\n",
    "    fig = plt.figure(figsize=(10,5))\n",
    "    ax1 = fig.add_subplot(2,1,1)\n",
    "    sns.swarmplot(x='treatment', y='colonies_pre', data=data, ax=ax1)\n",
    "    ax1.set_title('pre-treatment')\n",
    "    ax1.set_xlabel('')\n",
    "    ax1.set_ylabel('colonies')\n",
    "    ax2 = fig.add_subplot(2,1,2)\n",
    "    sns.swarmplot(x='treatment', y='colonies_post', data=data, ax=ax2)\n",
    "    ax2.set_title('post-treatment')\n",
    "    ax2.set_ylabel('colonies')\n",
    "    ax2.set_ylim(ax1.get_ylim())\n",
    "    plt.tight_layout()\n",
    "    return fig"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.110162Z",
     "start_time": "2017-12-29T05:41:44.870Z"
    },
    "scrolled": false,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "fig = plot_colonies_data()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "## 先验知识\n",
    "\n",
    "菌落计数符合**泊松Poisson分布**. 因此...\n",
    "\n",
    "- 菌落计数符合泊松分布: $ data_{i}^{j} \\sim Poisson(\\mu_{i}^{j}), j \\in [pre, post], i \\in [1, 2, 3...] $\n",
    "- 泊松分布的参数是离散均匀分布: $ \\mu_{i}^{j} \\sim DiscreteUniform(0, 10^{4}), j \\in [pre, post], i \\in [1, 2, 3...] $\n",
    "- 灭菌效力通过百分比变化测量，定义如下: $ \\frac{mu_{pre} - mu_{post}}{mu_{pre}} $"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![](./images/bacteria_model.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 代码"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.111617Z",
     "start_time": "2017-12-29T05:41:44.887Z"
    },
    "collapsed": true,
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "with pm.Model() as poisson_estimation:\n",
    "    \n",
    "    mu_pre = pm.DiscreteUniform('pre_mus', lower=0, upper=10000, \n",
    "                                shape=len(treatment_order))\n",
    "    pre_mus = mu_pre[data['treatment'].values]  # fancy indexing!!\n",
    "    pre_counts = pm.Poisson('pre_counts', mu=pre_mus, \n",
    "                            observed=pm.floatX(data['colonies_pre']))\n",
    "    \n",
    "    mu_post = pm.DiscreteUniform('post_mus', lower=0, upper=10000, \n",
    "                                 shape=len(treatment_order))\n",
    "    post_mus = mu_post[data['treatment'].values]  # fancy indexing!!\n",
    "    post_counts = pm.Poisson('post_counts', mu=post_mus, \n",
    "                             observed=pm.floatX(data['colonies_post']))\n",
    "\n",
    "    perc_change = pm.Deterministic('perc_change', \n",
    "                                   100 * (mu_pre - mu_post) / mu_pre)     "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## MCMC Inference Button (TM)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.114595Z",
     "start_time": "2017-12-29T05:41:44.906Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "with poisson_estimation:\n",
    "    poisson_trace = pm.sample(200000)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.116556Z",
     "start_time": "2017-12-29T05:41:44.924Z"
    },
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "outputs": [],
   "source": [
    "pm.traceplot(poisson_trace[50000:], varnames=['pre_mus', 'post_mus'])\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "## 结果"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "ExecuteTime": {
     "end_time": "2017-12-29T05:45:02.118133Z",
     "start_time": "2017-12-29T05:41:44.940Z"
    },
    "slideshow": {
     "slide_type": "fragment"
    }
   },
   "outputs": [],
   "source": [
    "pm.forestplot(poisson_trace[50000:], varnames=['perc_change'], \n",
    "              ylabels=treatment_order) #, xrange=[0, 110])\n",
    "plt.xlabel('Percentage Reduction')\n",
    "\n",
    "ax = plt.gca()\n",
    "ax = adjust_forestplot_for_slides(ax)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 第三类问题: 复杂的东西"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 例子: 贝叶斯神经网络\n",
    "\n",
    "a.k.a. 贝叶斯深度学习"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "![bayesian neural networks](https://raw.githubusercontent.com/ericmjl/bayesian-stats-talk/master/images/bayesian-neural-net.jpg)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "subslide"
    }
   },
   "source": [
    "[Forest Cover Notebook](https://github.com/ericmjl/bayesian-analysis-recipes/blob/master/multiclass-classification-neural-network.ipynb)\n",
    "\n",
    "注: 这好像跳到另一个课件去了. 有时间我也挪过来翻译"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 概念特征\n",
    "\n",
    "- 参数估计：\n",
    "     - **抛硬币：** 先验与后验\n",
    "     - ** IC <sub> 50 </ sub>：**连接函数与确定性计算\n",
    "- 对照与治疗：\n",
    "     - **药物智商：**一个治疗组 与 一个对照组\n",
    "     - **电话消毒：**多个治疗组 与 多个对照组。\n",
    "- 贝叶斯神经网络：\n",
    "     - **森林覆盖：**先验参数和大致推断。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# 模式\n",
    "\n",
    "1. 使用统计分布参数化您的问题\n",
    "1. 修正你的模型结构\n",
    "1. 在PyMC3中编写模型，点击**Inference 按钮<sup>TM</sup>**\n",
    "1. 根据后验分布进行解释\n",
    "1. （可选）如果有新信息，修改模型结构。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "# 贝叶斯估计\n",
    "\n",
    "- 为数据的生成写一个**描述性的**模型。\n",
    "     - 原始的贝叶斯：在**看到你的数据之前** 做这个。\n",
    "     - 经验贝叶斯：在**看到你的数据之后**做这个。\n",
    "- 估计感兴趣的模型参数的**后验分布**。\n",
    "- **确定性计算** 派生参数的后验分布。"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "skip"
    }
   },
   "source": [
    "# 参考资源\n",
    "\n",
    "- John K. Kruschke's [books][kruschke_books], [paper][kruschke_paper], and [video][kruschke_video].\n",
    "- Statistical Re-thinking [book][mcelreath]\n",
    "- Jake Vanderplas' [blog post][jakevdp_blog] on the differences between Frequentism and Bayesianism.\n",
    "- PyMC3 [examples & documentation][pymc3]\n",
    "- Andrew Gelman's [blog][gelman]\n",
    "- Recommendations for prior distributions [wiki][priors] \n",
    "- Cam Davidson-Pilon's [Bayesian Methods for Hackers][bayes_hacks]\n",
    "- My [repository][bayes_recipes] of Bayesian data analysis recipes.\n",
    "\n",
    "[kruschke_books]: https://sites.google.com/site/doingbayesiandataanalysis/\n",
    "[kruschke_paper]: http://www.indiana.edu/~kruschke/BEST/\n",
    "[kruschke_video]: https://www.youtube.com/watch?v=fhw1j1Ru2i0&feature=youtu.be\n",
    "[jakevdp_blog]: http://jakevdp.github.io/blog/2014/03/11/frequentism-and-bayesianism-a-practical-intro/\n",
    "[pymc3]: https://pymc-devs.github.io/pymc3/examples.html\n",
    "[mcelreath]: http://xcelab.net/rm/statistical-rethinking/\n",
    "[gelman]: http://andrewgelman.com/\n",
    "[priors]: https://github.com/stan-dev/stan/wiki/Prior-Choice-Recommendations\n",
    "[bayes_hacks]: https://github.com/CamDavidsonPilon/Probabilistic-Programming-and-Bayesian-Methods-for-Hackers\n",
    "[bayes_recipes]: https://github.com/ericmjl/bayesian-analysis-recipes"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {
    "slideshow": {
     "slide_type": "slide"
    }
   },
   "source": [
    "# GO BAYES!\n",
    "\n",
    "- Full notebook with bonus resources: https://github.com/ericmjl/bayesian-stats-talk\n",
    "- Twitter: [@ericmjl](https://twitter.com/ericmjl)\n",
    "- Website: [ericmjl.com](http://www.ericmjl.com)"
   ]
  }
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