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   "cells": [
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Bayesian Statistics\n",
      "====\n",
      "Date: October 16, 2014\n",
      "\n",
      "Copyright (c) 2014 Rafael A. Irizarry MIT License"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "# special IPython command to prepare the notebook for matplotlib\n",
      "%matplotlib inline \n",
      "\n",
      "import numpy as np\n",
      "import scipy\n",
      "import pandas as pd # pandas\n",
      "import matplotlib.pyplot as plt # module for plotting \n",
      "from mpl_toolkits.mplot3d import Axes3D #3D plotting\n",
      "import datetime as dt # module for manipulating dates and times\n",
      "\n",
      "import requests \n",
      "import scipy.stats as stats\n",
      "import statsmodels.api as sm\n",
      "from scipy.stats import binom\n",
      "from __future__ import division\n",
      "import re\n",
      "from StringIO import StringIO\n",
      "from zipfile import ZipFile \n",
      "from pandas import read_csv\n",
      "from urllib import urlopen\n",
      "import urllib2\n",
      "import json\n",
      "\n",
      "import sklearn\n",
      "import sklearn.preprocessing\n",
      "import sklearn.datasets\n",
      "\n",
      "#nice defaults for matplotlib\n",
      "from matplotlib import rcParams\n",
      "\n",
      "dark2_colors = [(0.10588235294117647, 0.6196078431372549, 0.4666666666666667),\n",
      "                (0.8509803921568627, 0.37254901960784315, 0.00784313725490196),\n",
      "                (0.4588235294117647, 0.4392156862745098, 0.7019607843137254),\n",
      "                (0.9058823529411765, 0.1607843137254902, 0.5411764705882353),\n",
      "                (0.4, 0.6509803921568628, 0.11764705882352941),\n",
      "                (0.9019607843137255, 0.6705882352941176, 0.00784313725490196),\n",
      "                (0.6509803921568628, 0.4627450980392157, 0.11372549019607843),\n",
      "                (0.4, 0.4, 0.4)]\n",
      "\n",
      "rcParams['figure.figsize'] = (10, 6)\n",
      "rcParams['figure.dpi'] = 150\n",
      "rcParams['axes.color_cycle'] = dark2_colors\n",
      "rcParams['lines.linewidth'] = 2\n",
      "rcParams['axes.grid'] = True\n",
      "rcParams['axes.facecolor'] = '#eeeeee'\n",
      "rcParams['font.size'] = 14\n",
      "rcParams['patch.edgecolor'] = 'none'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 289
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Cystic Fibrosis Test\n",
      "====\n",
      "\n",
      "* A test for cystic fibrosis has an accuracy of 99%: \n",
      "\n",
      "$$\\mbox{Prob}(+|D)=0.99, \\mbox{Prob}(-|\\mbox{no } D)=0.99,$$\n",
      "\n",
      "\n",
      "* If we select random person and they test postive what is probability of positive test? \n",
      "\n",
      "* We write this as $\\mbox{Prob}(D|+)?$\n",
      "\n",
      "* cystic fibrosis rate is 1 in 3,900, $\\mbox{Prob}(D)=0.0025$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Bayes Rule\n",
      "====\n",
      "\n",
      "\n",
      "$$\n",
      "\\mbox{Pr}(A|B)  =  \\frac{\\mbox{Pr}(B|A)\\mbox{Pr}(A)}{\\mbox{Pr}(B)} \n",
      "$$\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "\\mbox{Prob}(D|+) & = & \\frac{ P(+|D) \\cdot P(D)} {\\mbox{Prob}(+)} \\\\\n",
      "& = & \\frac{\\mbox{Prob}(+|D)\\cdot P(D)} {\\mbox{Prob}(+|D) \\cdot P(D) + \\mbox{Prob}(+|\\mbox{no } D) \\mbox{Prob}(\\mbox{no } D)} \\\\\n",
      "\\end{eqnarray*}\n",
      "$$\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "\\mbox{Prob}(D|+) & = & \\frac{ P(+|D) \\cdot P(D)} {\\mbox{Prob}(+)} \\\\\n",
      "& = & \\frac{\\mbox{Prob}(+|D)\\cdot P(D)} {\\mbox{Prob}(+|D) \\cdot P(D) + \\mbox{Prob}(+|\\mbox{no } D) \\mbox{Prob}(\\mbox{no } D)} \\\\\n",
      "& = & \\frac{0.99 \\cdot 0.0025}{0.99 \\cdot 0.0025 + 0.01 \\cdot (.9975)} \\\\\n",
      "& = & 0.02 \\;\\;\\; \\mbox{not} \\; \\; \\; 0.99\n",
      "\\end{eqnarray*}\n",
      "$$\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Simulation"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Bayes in Practice\n",
      "===\n",
      "\n",
      "![iglesias](http://upload.wikimedia.org/wikipedia/commons/thumb/9/98/Jos%C3%A9_Iglesias_on_September_28%2C_2012.jpg/902px-Jos%C3%A9_Iglesias_on_September_28%2C_2012.jpg)\n",
      "\n",
      "***\n",
      "\n",
      "Jos\u00e9 Iglesias 2013\n",
      "\n",
      "| Month | At Bats | H | AVG |\n",
      "|-------|---------|---|-----|\n",
      "| April | 20      | 9 | .450   |\n",
      "\n",
      "What is your prediction for his average in October?\n",
      "\n",
      "Note: No one has finished a \n",
      "season batting .400 since \n",
      "Ted Williams in 1941!\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Distribution of AVG \n",
      "===\n",
      "This is for all players (>500 AB) 2010, 2011, 2012"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "zip_folder = requests.get('http://seanlahman.com/files/database/lahman-csv_2014-02-14.zip').content\n",
      "zip_files = StringIO()\n",
      "zip_files.write(zip_folder)\n",
      "csv_files = ZipFile(zip_files)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 290
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "players = csv_files.open('Batting.csv')\n",
      "players = read_csv(players)\n",
      "players.head()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>playerID</th>\n",
        "      <th>yearID</th>\n",
        "      <th>stint</th>\n",
        "      <th>teamID</th>\n",
        "      <th>lgID</th>\n",
        "      <th>G</th>\n",
        "      <th>G_batting</th>\n",
        "      <th>AB</th>\n",
        "      <th>R</th>\n",
        "      <th>H</th>\n",
        "      <th>2B</th>\n",
        "      <th>3B</th>\n",
        "      <th>HR</th>\n",
        "      <th>RBI</th>\n",
        "      <th>SB</th>\n",
        "      <th>CS</th>\n",
        "      <th>BB</th>\n",
        "      <th>SO</th>\n",
        "      <th>IBB</th>\n",
        "      <th>HBP</th>\n",
        "      <th></th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td> aardsda01</td>\n",
        "      <td> 2004</td>\n",
        "      <td> 1</td>\n",
        "      <td> SFN</td>\n",
        "      <td> NL</td>\n",
        "      <td> 11</td>\n",
        "      <td> 11</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td> aardsda01</td>\n",
        "      <td> 2006</td>\n",
        "      <td> 1</td>\n",
        "      <td> CHN</td>\n",
        "      <td> NL</td>\n",
        "      <td> 45</td>\n",
        "      <td> 43</td>\n",
        "      <td> 2</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td> aardsda01</td>\n",
        "      <td> 2007</td>\n",
        "      <td> 1</td>\n",
        "      <td> CHA</td>\n",
        "      <td> AL</td>\n",
        "      <td> 25</td>\n",
        "      <td>  2</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td> aardsda01</td>\n",
        "      <td> 2008</td>\n",
        "      <td> 1</td>\n",
        "      <td> BOS</td>\n",
        "      <td> AL</td>\n",
        "      <td> 47</td>\n",
        "      <td>  5</td>\n",
        "      <td> 1</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 1</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td>...</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> aardsda01</td>\n",
        "      <td> 2009</td>\n",
        "      <td> 1</td>\n",
        "      <td> SEA</td>\n",
        "      <td> AL</td>\n",
        "      <td> 73</td>\n",
        "      <td>  3</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td> 0</td>\n",
        "      <td>...</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "<p>5 rows \u00d7 24 columns</p>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 291,
       "text": [
        "    playerID  yearID  stint teamID lgID   G  G_batting  AB  R  H  2B  3B  HR  \\\n",
        "0  aardsda01    2004      1    SFN   NL  11         11   0  0  0   0   0   0   \n",
        "1  aardsda01    2006      1    CHN   NL  45         43   2  0  0   0   0   0   \n",
        "2  aardsda01    2007      1    CHA   AL  25          2   0  0  0   0   0   0   \n",
        "3  aardsda01    2008      1    BOS   AL  47          5   1  0  0   0   0   0   \n",
        "4  aardsda01    2009      1    SEA   AL  73          3   0  0  0   0   0   0   \n",
        "\n",
        "   RBI  SB  CS  BB  SO  IBB  HBP      \n",
        "0    0   0   0   0   0    0    0 ...  \n",
        "1    0   0   0   0   0    0    0 ...  \n",
        "2    0   0   0   0   0    0    0 ...  \n",
        "3    0   0   0   0   1    0    0 ...  \n",
        "4    0   0   0   0   0    0    0 ...  \n",
        "\n",
        "[5 rows x 24 columns]"
       ]
      }
     ],
     "prompt_number": 291
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "dat = players[(players.yearID >= 2010) & (players.yearID <= 2012)]\n",
      "dat['AVG'] = dat['H']/dat['AB']\n",
      "dat = dat[dat['AB']>500]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 292
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "df = dat[['yearID', 'AVG']].dropna()\n",
      "rcParams['figure.figsize'] = (14, 4)\n",
      "plt.figure(1)\n",
      "for i in range(1,4):\n",
      "    plt.subplot(1,3,i)\n",
      "    plt.hist(df[df.yearID == (2009+i)].AVG.values*1000, bins = np.arange(200,370,20), normed = True)\n",
      "    plt.title(str(2009+i))\n",
      "    plt.xlabel(\"AVG\")\n",
      "    if i==1:\n",
      "        plt.ylabel(\"Frequency\")\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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9TJw40UZnTkRERI6GNWXdcM229YiwBtrauMbaOlgDIjZe22RPmE/I3omQc5kT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\nnpQREREREREpxJMyIiIiIiIihf4fz9w30bPRw74AAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10bf8d910>"
       ]
      }
     ],
     "prompt_number": 293
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Average is .275 and SD is 0.027"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Jos\u00e9 Iglesias\u2019 April batting average\n",
      "====\n",
      "incremental:true\n",
      "* Should we trade him?\n",
      "\n",
      "* What is the SE of our estimate?\n",
      "\n",
      "* $$\\sqrt{\\frac{.450 (1-.450)}{20}}=.111$$\n",
      "\n",
      "* Confidence interval?\n",
      "\n",
      "* .450-.222 to .450+.222 = .228 to .672"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Hierarchichal Model\n",
      "===\n",
      "\n",
      "Pick a random player, then what is their batting average\n",
      "\n",
      "$$\\begin{eqnarray*}\n",
      "\\theta &\\sim& N(\\mu, \\tau^2) \\mbox{ is called a prior}\\\\\n",
      "Y | \\theta &\\sim& N(\\theta, \\sigma^2) \\mbox{ is called a sampling distribution}\n",
      "\\end{eqnarray*}$$\n",
      "\n",
      "Two levels of variability:\n",
      "\n",
      "* Player to player variability\n",
      "* Variability due to luck when batting\n",
      "\n",
      "Variables:\n",
      "\n",
      "* $\\theta$ is our players \"intrinsic\" average value\n",
      "* $\\mu$ is the average of all players\n",
      "* $\\tau$ is the SD of all players\n",
      "* $Y$ is the observed average\n",
      "* $\\sigma$ is the variability due to luck at each AB\n",
      "\n",
      "Here are the equations with our data\n",
      "\n",
      "$$\\begin{eqnarray*}\n",
      "\\theta &\\sim& N(.275, .027^2) \\\\\n",
      "Y | \\theta &\\sim& N(\\theta, .110^2) \n",
      "\\end{eqnarray*}$$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Posterior Distribution\n",
      "====\n",
      "\n",
      "The continuous version of Bayes rule can be used here\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "f_{\\theta|Y}(\\theta|Y)&=&\\frac{f_{Y|\\theta}(Y|\\theta) f_{\\theta}(\\theta)}{f_Y(Y)}\\\\\n",
      "&=&\\frac{f_{Y|\\theta}(Y|\\theta) f_{\\theta}(\\theta)}{\\int_{\\theta}f_{Y|\\theta}(Y|\\theta)f_{\\theta}(\\theta)}\\\\\n",
      "\\end{eqnarray*}\n",
      "$$\n",
      "\n",
      "We are particularly interested in the $\\theta$ that maximizes $f_{\\theta|Y}(\\theta|Y)$.\n",
      "\n",
      "In our case, these can be shown to be normal so we want the average $\\mbox{E}(\\theta|y)$\n",
      "\n",
      "We can show the average of this distribution is the following:\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "\\mbox{E}(\\theta|y) &=& B \\mu + (1-B) Y\\\\\n",
      "&=& \\mu + (1-B)(Y-\\mu)\\\\\n",
      "B &=& \\frac{\\sigma^2}{\\sigma^2+\\tau^2}\n",
      "\\end{eqnarray*}\n",
      "$$"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "In the case of Jos\u00e9 Iglesias, we have:\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "E(\\theta | Y=.450) &=& B \\times .275 + (1 - B) \\times .450 \\\\\n",
      "&=& .275 + (1 - B)(.450 - .260) \\\\\n",
      "B &=&\\frac{.110^2}{.110^2 + .027^2} = 0.943\\\\\n",
      "E(\\theta | Y=450) &\\approx& .285\\\\\n",
      "\\end{eqnarray*}\n",
      "$$\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "The variance can be shown to be:\n",
      "\n",
      "$$\n",
      "\\begin{eqnarray*}\n",
      "\\mbox{var}(\\theta|y) &=& \\frac{1}{1/\\sigma^2+1/\\tau^2}\n",
      "&=& \\frac{1}{1/.110^2 + 1/.027^2}\n",
      "\\end{eqnarray*}\n",
      "$$\n",
      "\n",
      "In our example the SD is 0.026\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Results\n",
      "====\n",
      "\n",
      "|Month|At Bat| Hits| AVG |\n",
      "|-----|------|-----|-----|\n",
      "|April|20|9|.450|\n",
      "|May|26|11|.423|\n",
      "|June|86|34|.395|\n",
      "|July|83|17|.205|\n",
      "|August|85|25|.294|\n",
      "|September|50|10|.200|\n",
      "|Total w/o April|330|97|.293|\n",
      "\n",
      "Frequentist confidence interval = .450 $\\pm$ 0.220\n",
      "\n",
      "Empirical Bayes credible interval = .285 $\\pm$ 0.052\n",
      "\n",
      "Actual = .293\n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Elections\n",
      "====\n",
      "\n",
      "The US Senate has 100 senators\n",
      "\n",
      "Currently we have 55 Dems (includes 2 independents) versus 45 Republicans. \n",
      "\n",
      "This election 36 Senate are being contested\n",
      "\n",
      "\n",
      "****\n",
      "\n",
      "![senate map](http://images.politico.com/global/2014/05/05/140505_kondik_map4.png)\n",
      "\n",
      "21 are held by Democrats and 15 by Republicans. \n"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Aggregators\n",
      "=====\n",
      "\n",
      "http://www.nytimes.com/newsgraphics/2014/senate-model/comparisons.html\n",
      "\n",
      "http://election.princeton.edu/\n",
      "\n",
      "http://fivethirtyeight.com/interactives/senate-forecast/"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "FiveThirtyEight\n",
      "====\n",
      "\n",
      "![538confidenceintervals](http://espnfivethirtyeight.files.wordpress.com/2014/09/screen-shot-2014-09-16-at-5-09-30-pm.png)"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Average of polls by state with SEs\n",
      "===="
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stream = urllib2.urlopen('http://elections.huffingtonpost.com/pollster/api/charts/?topic=2014-senate')\n",
      "data = json.load(stream)   "
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 294
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "states = [str(poll['state']) for poll in data]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 295
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "### use google to figure out why 2 candidate for 3 states\n",
      "## you will have to do this again each time database updated!\n",
      "\n",
      "import collections\n",
      "counter=collections.Counter(states)\n",
      "twopollindex = [key for key in counter.keys() if counter[key]>1]\n",
      "twopollindex"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 296,
       "text": [
        "['NH', 'GA', 'OK', 'SC']"
       ]
      }
     ],
     "prompt_number": 296
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "###NH: there are polls with Bass but he withdrew\n",
      "for poll in data:\n",
      "    if str(poll['state']) in twopollindex:\n",
      "        print poll['title']"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "2014 New Hampshire Senate: Brown vs. Shaheen\n",
        "2014 New Hampshire Senate: Bass vs. Shaheen\n",
        "2014 Georgia Senate: Perdue vs. Nunn\n",
        "2014 South Carolina Senate: Graham vs. Hutto\n",
        "2014 South Carolina Senate: Scott vs. Dickerson\n",
        "2014 Oklahoma Senate: Inhofe vs. Silverstein\n",
        "2014 Oklahoma Senate: Lankford vs. Johnson\n",
        "2014 Georgia Senate Runoff\n"
       ]
      }
     ],
     "prompt_number": 297
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "## conclusiions after googling\n",
      "## In NH Bass withdrew take out 6\n",
      "## In Oklahoma and SC there are actually 2. Both special elections\n",
      "data.pop(6)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 298,
       "text": [
        "{u'election_date': u'2014-11-04',\n",
        " u'estimates': [],\n",
        " u'last_updated': u'2013-10-28T17:33:36Z',\n",
        " u'poll_count': 3,\n",
        " u'short_title': u'NH Senate: Bass vs. Shaheen',\n",
        " u'slug': u'2014-new-hampshire-senate-bass-vs-shaheen',\n",
        " u'state': u'NH',\n",
        " u'title': u'2014 New Hampshire Senate: Bass vs. Shaheen',\n",
        " u'topic': u'2014-senate',\n",
        " u'url': u'http://elections.huffingtonpost.com/pollster/2014-new-hampshire-senate-bass-vs-shaheen'}"
       ]
      }
     ],
     "prompt_number": 298
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "polls = [read_csv(urlopen(poll['url']+'.csv')) for poll in data]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 299
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "states = [str(poll['state']) for poll in data]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 300
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "#make a table of candidates\n",
      "R = np.zeros(len(polls))\n",
      "R.fill(np.nan)\n",
      "D = np.zeros(len(polls))\n",
      "D.fill(np.nan)\n",
      "incumbent = np.zeros(len(polls))\n",
      "incumbent.fill(np.nan)\n",
      "d = {'states':states, 'R':R, 'D':D, 'incumbent':incumbent}\n",
      "candidates = pd.DataFrame(data = d)\n",
      "candidates = candidates[['states','R','D','incumbent']]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 301
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "for i in range(len(data)):\n",
      "    x = data[i]['estimates'][0:2]\n",
      "    if not x[0]['last_name']:\n",
      "        tmp = data[i]['url'].split('-')+['vs']\n",
      "        j = tmp.index('vs')\n",
      "        if j!=len(tmp)-1:\n",
      "            candidates.R[i] = tmp[j-1].capitalize()\n",
      "            candidates.D[i] = tmp[j+1].capitalize()\n",
      "            candidates.incumbent[i] = np.nan\n",
      "            #if no data means race is decided\n",
      "    else:\n",
      "        tmp = [x[0]['party'],x[1]['party']]\n",
      "        candidates.R[i] = x[tmp.index('Rep')]['last_name']\n",
      "        idx = [k for k in range(len(tmp)) if tmp[k]!='Rep'][0]\n",
      "        candidates['D'][i] = x[idx]['last_name']\n",
      "        tmp2 = [x[0]['incumbent'],x[1]['incumbent']]\n",
      "        tmp2+=[True]\n",
      "        if tmp2.index(True)!=2:\n",
      "            candidates.incumbent[i] = tmp[tmp2.index(True)]\n",
      "        \n",
      "#remove second last name \n",
      "candidates.R = [candidate.split(' ')[-1] for candidate in candidates.R]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 302
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "candidates.head(5)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"max-height:1000px;max-width:1500px;overflow:auto;\">\n",
        "<table border=\"1\" class=\"dataframe\">\n",
        "  <thead>\n",
        "    <tr style=\"text-align: right;\">\n",
        "      <th></th>\n",
        "      <th>states</th>\n",
        "      <th>R</th>\n",
        "      <th>D</th>\n",
        "      <th>incumbent</th>\n",
        "    </tr>\n",
        "  </thead>\n",
        "  <tbody>\n",
        "    <tr>\n",
        "      <th>0</th>\n",
        "      <td> KY</td>\n",
        "      <td> McConnell</td>\n",
        "      <td>   Grimes</td>\n",
        "      <td> Rep</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>1</th>\n",
        "      <td> AR</td>\n",
        "      <td>    Cotton</td>\n",
        "      <td>    Pryor</td>\n",
        "      <td> Dem</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>2</th>\n",
        "      <td> MI</td>\n",
        "      <td>      Land</td>\n",
        "      <td>   Peters</td>\n",
        "      <td> NaN</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>3</th>\n",
        "      <td> LA</td>\n",
        "      <td>   Cassidy</td>\n",
        "      <td> Landrieu</td>\n",
        "      <td> Dem</td>\n",
        "    </tr>\n",
        "    <tr>\n",
        "      <th>4</th>\n",
        "      <td> NH</td>\n",
        "      <td>     Brown</td>\n",
        "      <td>  Shaheen</td>\n",
        "      <td> Dem</td>\n",
        "    </tr>\n",
        "  </tbody>\n",
        "</table>\n",
        "<p>5 rows \u00d7 4 columns</p>\n",
        "</div>"
       ],
       "metadata": {},
       "output_type": "pyout",
       "prompt_number": 303,
       "text": [
        "  states          R         D incumbent\n",
        "0     KY  McConnell    Grimes       Rep\n",
        "1     AR     Cotton     Pryor       Dem\n",
        "2     MI       Land    Peters       NaN\n",
        "3     LA    Cassidy  Landrieu       Dem\n",
        "4     NH      Brown   Shaheen       Dem\n",
        "\n",
        "[5 rows x 4 columns]"
       ]
      }
     ],
     "prompt_number": 303
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "diff = []\n",
      "for i in range(len(polls)):\n",
      "    tmp = polls[i]\n",
      "    diff.append(tmp[candidates.R[i]].values-tmp[candidates.D[i]].values)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 304
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "means = [np.mean(a) for a in diff]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 305
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ses = [np.std(a)/np.sqrt(len(a)) for a in diff]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 306
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ord_means, o = (list(x) for x in zip(*sorted(zip(means, range(len(means))))))"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 307
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "States = states[:]\n",
      "for i in range(len(States)):\n",
      "    if States[i] in States[:i]:\n",
      "        States[i] +='2'"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 308
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "difference = [means[i] for i in o]\n",
      "se = [ses[i] for i in o]\n",
      "States = [States[i] for i in o]\n",
      "d = {'se':se, 'states':States, 'difference':difference}\n",
      "df = pd.DataFrame(data=d)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 309
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "rcParams['figure.figsize'] = (12, 6)\n",
      "plt.errorbar(range(len(States)), difference, yerr = 2*np.array(se), linestyle=\"None\", zorder = 0)\n",
      "plt.scatter(range(len(States)), difference, zorder = 1)\n",
      "plt.hlines(0, -0.5, 35.5, alpha = 0.5, linewidth=1, zorder = 0)\n",
      "plt.xlim(-0.5,35.5)\n",
      "plt.ylabel('difference')\n",
      "plt.xticks(range(len(States)), States, rotation = 50)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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QHo4elR5/vIb2fjxCoVHvKXu0VL162XOOHJFGjgyX8goPRPDCC9U1cGCuunTJ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\n5UsDh6UAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x102966310>"
       ]
      }
     ],
     "prompt_number": 310
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "** Note: Kansas, New Hampshire and North Carolina **"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Poll results by state\n",
      "===="
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "ord_diff = [diff[i] for i in o]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [],
     "prompt_number": 311
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plt.boxplot(ord_diff)\n",
      "plt.xticks(np.arange(1,len(States)+1,1), States, rotation = 50)\n",
      "plt.show()"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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L57fffpvq1KlDZcqUoZYtWyp5gHkAUF/BN+PIEfhmHMZxt0jNcVikertALSwr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\nzMPDw8PDw8PDw8OC/wPAAPE0USN+EAAAAABJRU5ErkJggg==\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10df0f750>"
       ]
      }
     ],
     "prompt_number": 312
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Kansas (results by pollster)\n",
      "=====\n",
      "60% R,\n",
      "\n",
      "56% I,\n",
      "\n",
      "62% I,\n",
      "\n",
      "51% R,\n",
      "\n",
      "72% I,\n",
      "\n",
      "61% R,\n",
      "\n",
      "61% R,\n",
      "\n",
      "Tie,\n",
      "\n",
      "Tie,\n",
      "\n",
      "Tie"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def plot_pollsters(state):\n",
      "    idx = states.index(state)\n",
      "    pollsters = list(polls[idx]['Pollster'].values)\n",
      "    unique_polls = [pollsters[i] for i in range(len(pollsters)) if pollsters[i] not in pollsters[:i]]\n",
      "    xvals = [unique_polls.index(poll) for poll in pollsters]\n",
      "    \n",
      "    plt.scatter(xvals,diff[idx], s=50)\n",
      "    plt.xticks(range(max(xvals)+1),unique_polls, rotation = 90)\n",
      "    plt.hlines(0, -0.1, max(xvals), alpha = 0.7, linewidth=1, zorder = 0, linestyles = '--')\n",
      "    plt.xlim(-0.2, max(xvals)+0.2)\n",
      "    plt.show()\n",
      "    \n",
      "plot_pollsters('KS')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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iIhITE5Geng7gXvM7evRozJ49G19//TWOHz+OgQMHwsfHB1FRUWV+/IK/GcpMlayq5ASY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\nTK+pEaUAAAAASUVORK5CYII=\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10d893610>"
       ]
      }
     ],
     "prompt_number": 313
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "New Hampshire\n",
      "=====\n",
      "75% D,\n",
      "\n",
      "81% D,\n",
      "\n",
      "69% D,\n",
      "\n",
      "60% D,\n",
      "\n",
      "89% D,\n",
      "\n",
      "84% D,\n",
      "\n",
      "99% D,\n",
      "\n",
      "3 Lean D"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot_pollsters('NH')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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BkyZhyMmxH042mwW2bctC3boa/42UiLzOp5/64dlnAx3O79y5GKtXqzxrRkSa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\nsRAFAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x10bed66d0>"
       ]
      }
     ],
     "prompt_number": 314
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "North Carolina\n",
      "=====\n",
      "81% D,\n",
      "\n",
      "78% D,\n",
      "\n",
      "73% D,\n",
      "\n",
      "60% D,\n",
      "\n",
      "75% D,\n",
      "\n",
      "71% D,\n",
      "\n",
      "96% D,\n",
      "\n",
      "Tie,\n",
      "\n",
      "Tie,\n",
      "\n",
      "Lean D"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "plot_pollsters('NC')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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NMlD+vx8RVQ3efjgAAH/95cC6dcoPJlhG6Q2z2w3k5pa8JL74/3JyYOkss05z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\nRERERK34P8Wkb7ANdS7XAAAAAElFTkSuQmCC\n",
       "text": [
        "<matplotlib.figure.Figure at 0x102920ad0>"
       ]
      }
     ],
     "prompt_number": 315
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Confidence Interval\n",
      "=====\n",
      "A closer look at NC\n",
      "\n",
      "Mindless confidence interval:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "i = states.index('NC')\n",
      "pollster = polls[i]['Pollster'].values\n",
      "day = [pd.to_datetime(x) for x in polls[i]['Start Date'].values]\n",
      "dif = polls[i][candidates.R[i]] - polls[i][candidates.D[i]]\n",
      "m = np.mean(dif)\n",
      "s = np.std(dif)/np.sqrt(len(dif))\n",
      "print [round(m-2*s,1),round(m+2*s,1)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[-3.9, -1.8]\n"
       ]
      }
     ],
     "prompt_number": 316
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Using only recent polls:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "'''\n",
      "ind <- which(day>\"2014-08-01\")\n",
      "m <- mean(dif[ind]) \n",
      "s <- sd(dif[ind])/sqrt(length(ind))\n",
      "cat(\"[\",round(m-2*s,1),round(m+2*s,1),\"]\")\n",
      "'''\n",
      "day0 = pd.to_datetime(\"2014-08-01\")\n",
      "ind = [i for i in range(len(day)) if day[i]>day0]\n",
      "m = np.mean(dif[ind])\n",
      "s = np.std(dif[ind])/np.sqrt(len(ind))\n",
      "print [round(m-2*s,1),round(m+2*s,1)]"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "output_type": "stream",
       "stream": "stdout",
       "text": [
        "[-3.2, -1.2]\n"
       ]
      }
     ],
     "prompt_number": 317
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Bayesian Analysis\n",
      "====\n",
      "\n",
      "Use, previous North Carolina results, average 0 and SD 5\n",
      "\n",
      "Two level model:\n",
      "$$\\begin{eqnarray*}\n",
      "\\theta &\\sim& N(\\mu, \\tau^2) \\\\\n",
      "Y | \\theta &\\sim& N(\\theta, 0.5^2) \n",
      "\\end{eqnarray*}$$\n",
      "\n",
      "Observed $Y = -2.4$\n",
      "\n",
      "How do we construct a prior?\n",
      "Are there other levels?"
     ]
    }
   ],
   "metadata": {}
  }
 ]
}