cy-young.ipynb

{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Arrieta for Cy Young\n",
    "### 2015-09-28"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "\n",
    "import pandas as pd\n",
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "from matplotlib.ticker import MaxNLocator, AutoMinorLocator\n",
    "from collections import defaultdict, Counter, OrderedDict\n",
    "\n",
    "pd.set_option('max_columns', 50)\n",
    "mpl.rcParams['lines.linewidth'] = 4\n",
    "\n",
    "ja = '#D12325' # cubs red ... cubs blue = '#0E3386'\n",
    "zg = '#005596' # dodger blue\n",
    "kc = '#005596'"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### remove summary rows from game logs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "total 0\r\n",
      "drwxr-xr-x@ 3 gjreda  staff  102 Oct 20 16:45 \u001b[34mcyyoung\u001b[m\u001b[m/\r\n",
      "drwxr-xr-x@ 5 gjreda  staff  170 Nov  2 11:38 \u001b[34mgamelogs\u001b[m\u001b[m/\r\n",
      "drwxr-xr-x@ 6 gjreda  staff  204 Oct 20 12:11 \u001b[34mpitchfx\u001b[m\u001b[m/\r\n",
      "drwxr-xr-x@ 5 gjreda  staff  170 Oct 20 11:31 \u001b[34mraw\u001b[m\u001b[m/\r\n",
      "drwxr-xr-x@ 2 gjreda  staff   68 Oct 20 11:52 \u001b[34mteams\u001b[m\u001b[m/\r\n",
      "\r\n",
      "data//cyyoung:\r\n",
      "total 184\r\n",
      "-rw-r--r--@ 1 gjreda  staff  90803 Oct 20 16:44 results.csv\r\n",
      "\r\n",
      "data//gamelogs:\r\n",
      "total 48\r\n",
      "-rw-r--r--@ 1 gjreda  staff  5949 Nov  2 11:38 arrieta2015.csv\r\n",
      "-rw-r--r--@ 1 gjreda  staff  5754 Nov  2 11:38 greinke2015.csv\r\n",
      "-rw-r--r--@ 1 gjreda  staff  5935 Nov  2 11:38 kershaw2015.csv\r\n",
      "\r\n",
      "data//pitchfx:\r\n",
      "total 10376\r\n",
      "-rw-r-----@ 1 gjreda  staff  1384144 Oct 20 11:23 arrieta.csv\r\n",
      "-rw-r-----@ 1 gjreda  staff  1309051 Oct 20 11:23 greinke.csv\r\n",
      "-rw-r-----@ 1 gjreda  staff  1355032 Oct 20 11:23 kershaw.csv\r\n",
      "-rw-r-----@ 1 gjreda  staff  1261494 Oct  9 10:36 lester-20151009.csv\r\n",
      "\r\n",
      "data//raw:\r\n",
      "total 48\r\n",
      "-rw-r--r--@ 1 gjreda  staff  7061 Oct 20 11:30 arrieta2015.csv\r\n",
      "-rw-r--r--@ 1 gjreda  staff  6866 Oct 20 11:31 greinke2015.csv\r\n",
      "-rw-r--r--@ 1 gjreda  staff  7047 Oct 20 11:31 kershaw2015.csv\r\n",
      "\r\n",
      "data//teams:\r\n"
     ]
    }
   ],
   "source": [
    "ll -R data/"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "!head -n 1 data/raw/arrieta2015.csv > data/gamelogs/headers.csv\n",
    "!cat data/raw/arrieta2015.csv | egrep -v '^[A-Z,]' > data/gamelogs/arrieta-tmp.csv\n",
    "!cat data/raw/greinke2015.csv | egrep -v '^[A-Z,]' > data/gamelogs/greinke-tmp.csv\n",
    "!cat data/raw/kershaw2015.csv | egrep -v '^[A-Z,]' > data/gamelogs/kershaw-tmp.csv\n",
    "!cat data/gamelogs/headers.csv data/gamelogs/arrieta-tmp.csv > data/gamelogs/arrieta2015.csv\n",
    "!cat data/gamelogs/headers.csv data/gamelogs/greinke-tmp.csv > data/gamelogs/greinke2015.csv\n",
    "!cat data/gamelogs/headers.csv data/gamelogs/kershaw-tmp.csv > data/gamelogs/kershaw2015.csv\n",
    "!rm data/gamelogs/*tmp.csv\n",
    "!rm data/gamelogs/headers.csv"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 2015 Season Analysis"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Load game log files"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# split on parens to handle double header games - we don't care which game they pitched\n",
    "def to_date(s):\n",
    "    try:\n",
    "        return pd.to_datetime(s.strip().split('(')[0].strip() + ', 2015', format='%b %d, %Y')\n",
    "    except:\n",
    "        return pd.to_datetime(s.split('(')[0].strip() + ', 2015', format='%A %b %d, %Y')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# game logs\n",
    "arrieta = pd.read_csv('data/gamelogs/arrieta2015.csv', parse_dates=['Date'], date_parser=to_date, index_col='Date')\n",
    "greinke = pd.read_csv('data/gamelogs/greinke2015.csv', parse_dates=['Date'], date_parser=to_date, index_col='Date')\n",
    "kershaw = pd.read_csv('data/gamelogs/kershaw2015.csv', parse_dates=['Date'], date_parser=to_date, index_col='Date')\n",
    "\n",
    "seasonidx = pd.date_range('2015-04-05', '2015-10-04')\n",
    "arrieta = arrieta.reindex(index=seasonidx, fill_value=0.)\n",
    "greinke = greinke.reindex(index=seasonidx, fill_value=0.)\n",
    "kershaw = kershaw.reindex(index=seasonidx, fill_value=0.)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "2015-07-14 00:00:00\n"
     ]
    }
   ],
   "source": [
    "allstarbreak = to_date('Jul 14')\n",
    "print(allstarbreak)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Convert innings column\n",
    "\n",
    "Partial innings are stored as 7.1 or 7.2 in the Baseball Reference data. Convert it to properly represent 1/3 or 2/3 of an inning (necessary for various `rate` calculations)."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def to_innings(IP):\n",
    "    full, partial = map(float, str(IP).split('.'))\n",
    "    return full + (partial / 3.)\n",
    "\n",
    "arrieta['IP'] = arrieta.IP.apply(to_innings)\n",
    "greinke['IP'] = greinke.IP.apply(to_innings)\n",
    "kershaw['IP'] = kershaw.IP.apply(to_innings)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### and conversions. looking at you, IP."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "arrieta['rollingIP'] = arrieta.IP.cumsum()\n",
    "arrieta['IPGame'] = arrieta.rollingIP / arrieta.Rk\n",
    "arrieta['rollingER'] = arrieta.ER.cumsum()\n",
    "arrieta['rollingERA'] = arrieta['rollingER'] / (arrieta['rollingIP'] / 9.)\n",
    "arrieta['strikeoutsPerIP'] = arrieta.SO.cumsum() / arrieta['rollingIP']\n",
    "arrieta['K/9'] = arrieta.SO.cumsum() / (arrieta['rollingIP'] / 9.)\n",
    "arrieta['strikeoutsPerBF'] = arrieta.SO.cumsum() / arrieta.BF.cumsum()\n",
    "arrieta['hitsPerIP'] = arrieta.H.cumsum() / arrieta['rollingIP']\n",
    "arrieta['hitsPerAB'] = arrieta.H.cumsum() / arrieta.AB.cumsum()\n",
    "arrieta['rollingWHIP'] = (arrieta.H.cumsum() + arrieta.BB.cumsum()) / arrieta['rollingIP']\n",
    "# opponents against\n",
    "arrieta['1B'] = arrieta.H - (arrieta['2B'] + arrieta['3B'] + arrieta['HR'])\n",
    "arrieta['AVG'] = arrieta.H.cumsum() / arrieta.AB.cumsum()\n",
    "arrieta['OBP'] = (arrieta.H.cumsum() + arrieta.BB.cumsum() + arrieta.HBP.cumsum()) \\\n",
    "                            / (arrieta.AB.cumsum() + arrieta.BB.cumsum() + arrieta.HBP.cumsum() + arrieta.SF.cumsum())\n",
    "arrieta['SLG'] = (arrieta['1B'].cumsum() + (arrieta['2B'].cumsum() * 2) + \\\n",
    "                         (arrieta['3B'].cumsum() * 3) + (arrieta['HR'].cumsum() * 4)) \\\n",
    "                            / arrieta.AB.cumsum()\n",
    "arrieta['OPS'] = arrieta.OBP + arrieta.SLG\n",
    "\n",
    "# rates\n",
    "arrieta['BABIP'] = (arrieta.H.cumsum() - arrieta.HR.cumsum()) \\\n",
    "                        / (arrieta.AB.cumsum() - arrieta.SO.cumsum() - arrieta.HR.cumsum() + arrieta.SF.cumsum())\n",
    "arrieta['HR%'] = arrieta.HR.cumsum() / arrieta.BF.cumsum()\n",
    "arrieta['XBH%'] = (arrieta['2B'].cumsum() + arrieta['3B'].cumsum() + arrieta['HR'].cumsum()) / arrieta.BF.cumsum()\n",
    "arrieta['K%'] = arrieta['SO'].cumsum() / arrieta.BF.cumsum()\n",
    "arrieta['IP%'] = (arrieta.AB.cumsum() - arrieta.SO.cumsum() - arrieta.HR.cumsum() + arrieta.SF.cumsum()) \\\n",
    "                    / arrieta.BF.cumsum()\n",
    "arrieta['GB%'] = arrieta['GB'].cumsum() \\\n",
    "                    / (arrieta.AB.cumsum() - arrieta.SO.cumsum() - arrieta.HR.cumsum() + arrieta.SF.cumsum())\n",
    "\n",
    "## greinke\n",
    "greinke['rollingIP'] = greinke.IP.cumsum()\n",
    "greinke['IPGame'] = greinke.rollingIP / greinke.Rk\n",
    "greinke['rollingER'] = greinke.ER.cumsum()\n",
    "greinke['rollingERA'] = greinke['rollingER'] / (greinke['rollingIP'] / 9.)\n",
    "greinke['strikeoutsPerIP'] = greinke.SO.cumsum() / greinke['rollingIP']\n",
    "greinke['K/9'] = greinke.SO.cumsum() / (greinke['rollingIP'] / 9.)\n",
    "greinke['strikeoutsPerBF'] = greinke.SO.cumsum() / greinke.BF.cumsum()\n",
    "greinke['hitsPerIP'] = greinke.H.cumsum() / greinke['rollingIP']\n",
    "greinke['hitsPerAB'] = greinke.H.cumsum() / greinke.AB.cumsum()\n",
    "greinke['rollingWHIP'] = (greinke.H.cumsum() + greinke.BB.cumsum()) / greinke['rollingIP']\n",
    "greinke['1B'] = greinke.H - (greinke['2B'] + greinke['3B'] + greinke['HR'])\n",
    "greinke['AVG'] = greinke.H.cumsum() / greinke.AB.cumsum()\n",
    "greinke['OBP'] = (greinke.H.cumsum() + greinke.BB.cumsum() + greinke.HBP.cumsum()) \\\n",
    "                            / (greinke.AB.cumsum() + greinke.BB.cumsum() + greinke.HBP.cumsum() + greinke.SF.cumsum())\n",
    "greinke['SLG'] = (greinke['1B'].cumsum() + (greinke['2B'].cumsum() * 2) + \\\n",
    "                         (greinke['3B'].cumsum() * 3) + (greinke['HR'].cumsum() * 4)) \\\n",
    "                            / greinke.AB.cumsum()\n",
    "greinke['OPS'] = greinke.OBP + greinke.SLG\n",
    "greinke['BABIP'] = (greinke.H.cumsum() - greinke.HR.cumsum()) \\\n",
    "                        / (greinke.AB.cumsum() - greinke.SO.cumsum() - greinke.HR.cumsum() + greinke.SF.cumsum())\n",
    "greinke['HR%'] = greinke.HR.cumsum() / greinke.BF.cumsum()\n",
    "greinke['XBH%'] = (greinke['2B'].cumsum() + greinke['3B'].cumsum() + greinke['HR'].cumsum()) / greinke.BF.cumsum()\n",
    "greinke['K%'] = greinke['SO'].cumsum() / greinke.BF.cumsum()\n",
    "greinke['IP%'] = (greinke.AB.cumsum() - greinke.SO.cumsum() - greinke.HR.cumsum() + greinke.SF.cumsum()) \\\n",
    "                    / greinke.BF.cumsum()\n",
    "greinke['GB%'] = greinke['GB'].cumsum() \\\n",
    "                    / (greinke.AB.cumsum() - greinke.SO.cumsum() - greinke.HR.cumsum() + greinke.SF.cumsum())\n",
    "\n",
    "## kershaw\n",
    "kershaw['rollingIP'] = kershaw.IP.cumsum()\n",
    "kershaw['IPGame'] = kershaw.rollingIP / kershaw.Rk\n",
    "kershaw['rollingER'] = kershaw.ER.cumsum()\n",
    "kershaw['rollingERA'] = kershaw['rollingER'] / (kershaw['rollingIP'] / 9.)\n",
    "kershaw['strikeoutsPerIP'] = kershaw.SO.cumsum() / kershaw['rollingIP']\n",
    "kershaw['K/9'] = kershaw.SO.cumsum() / (kershaw['rollingIP'] / 9.)\n",
    "kershaw['strikeoutsPerBF'] = kershaw.SO.cumsum() / kershaw.BF.cumsum()\n",
    "kershaw['hitsPerIP'] = kershaw.H.cumsum() / kershaw['rollingIP']\n",
    "kershaw['hitsPerAB'] = kershaw.H.cumsum() / kershaw.AB.cumsum()\n",
    "kershaw['rollingWHIP'] = (kershaw.H.cumsum() + kershaw.BB.cumsum()) / kershaw['rollingIP']\n",
    "kershaw['1B'] = kershaw.H - (kershaw['2B'] + kershaw['3B'] + kershaw['HR'])\n",
    "kershaw['AVG'] = kershaw.H.cumsum() / kershaw.AB.cumsum()\n",
    "kershaw['OBP'] = (kershaw.H.cumsum() + kershaw.BB.cumsum() + kershaw.HBP.cumsum()) \\\n",
    "                            / (kershaw.AB.cumsum() + kershaw.BB.cumsum() + kershaw.HBP.cumsum() + kershaw.SF.cumsum())\n",
    "kershaw['SLG'] = (kershaw['1B'].cumsum() + (kershaw['2B'].cumsum() * 2) + \\\n",
    "                         (kershaw['3B'].cumsum() * 3) + (kershaw['HR'].cumsum() * 4)) \\\n",
    "                            / kershaw.AB.cumsum()\n",
    "kershaw['OPS'] = kershaw.OBP + kershaw.SLG\n",
    "kershaw['BABIP'] = (kershaw.H.cumsum() - kershaw.HR.cumsum()) \\\n",
    "                        / (kershaw.AB.cumsum() - kershaw.SO.cumsum() - kershaw.HR.cumsum() + kershaw.SF.cumsum())\n",
    "kershaw['HR%'] = kershaw.HR.cumsum() / kershaw.BF.cumsum()\n",
    "kershaw['XBH%'] = (kershaw['2B'].cumsum() + kershaw['3B'].cumsum() + kershaw['HR'].cumsum()) / kershaw.BF.cumsum()\n",
    "kershaw['K%'] = kershaw['SO'].cumsum() / kershaw.BF.cumsum()\n",
    "kershaw['IP%'] = (kershaw.AB.cumsum() - kershaw.SO.cumsum() - kershaw.HR.cumsum() + kershaw.SF.cumsum()) \\\n",
    "                    / kershaw.BF.cumsum()\n",
    "kershaw['GB%'] = kershaw['GB'].cumsum() \\\n",
    "                    / (kershaw.AB.cumsum() - kershaw.SO.cumsum() - kershaw.HR.cumsum() + kershaw.SF.cumsum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.legend.Legend at 0x113295198>"
      ]
     },
     "execution_count": 9,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXgAAAEMCAYAAADOLq1xAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nnmEYJkphgWcYholSWOAZhmGilP8P+jc6BInQlhEAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113295160>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ax = arrieta['GB%'].plot(label='Arrieta')\n",
    "greinke['GB%'].plot(ax=ax, label='Greinke')\n",
    "kershaw['GB%'].plot(ax=ax, label='Kershaw')\n",
    "plt.legend(loc='best')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Arrieta's Second Half"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "arrieta2H = arrieta.ix[allstarbreak:].copy()\n",
    "arrieta2H['rollingIP'] = arrieta2H.IP.cumsum()\n",
    "arrieta2H['IPGame'] = arrieta2H.rollingIP / arrieta2H.Rk\n",
    "arrieta2H['rollingER'] = arrieta2H.ER.cumsum()\n",
    "arrieta2H['rollingERA'] = arrieta2H['rollingER'] / (arrieta2H['rollingIP'] / 9.)\n",
    "arrieta2H['strikeoutsPerIP'] = arrieta2H.SO.cumsum() / arrieta2H['rollingIP']\n",
    "arrieta2H['K/9'] = arrieta2H.SO.cumsum() / (arrieta2H['rollingIP'] / 9.)\n",
    "arrieta2H['strikeoutsPerBF'] = arrieta2H.SO.cumsum() / arrieta2H.BF.cumsum()\n",
    "arrieta2H['hitsPerIP'] = arrieta2H.H.cumsum() / arrieta2H['rollingIP']\n",
    "arrieta2H['hitsPerAB'] = arrieta2H.H.cumsum() / arrieta2H.AB.cumsum()\n",
    "arrieta2H['rollingWHIP'] = (arrieta2H.H.cumsum() + arrieta2H.BB.cumsum()) / arrieta2H['rollingIP']\n",
    "# opponents against\n",
    "arrieta2H['1B'] = arrieta2H.H - (arrieta2H['2B'] + arrieta2H['3B'] + arrieta2H['HR'])\n",
    "arrieta2H['AVG'] = arrieta2H.H.cumsum() / arrieta2H.AB.cumsum()\n",
    "arrieta2H['OBP'] = (arrieta2H.H.cumsum() + arrieta2H.BB.cumsum() + arrieta2H.HBP.cumsum()) \\\n",
    "                            / (arrieta2H.AB.cumsum() + arrieta2H.BB.cumsum() + arrieta2H.HBP.cumsum() + arrieta2H.SF.cumsum())\n",
    "arrieta2H['SLG'] = (arrieta2H['1B'].cumsum() + (arrieta2H['2B'].cumsum() * 2) + \\\n",
    "                         (arrieta2H['3B'].cumsum() * 3) + (arrieta2H['HR'].cumsum() * 4)) \\\n",
    "                            / arrieta2H.AB.cumsum()\n",
    "arrieta2H['OPS'] = arrieta2H.OBP + arrieta2H.SLG\n",
    "\n",
    "# rates\n",
    "arrieta2H['BABIP'] = (arrieta2H.H.cumsum() - arrieta2H.HR.cumsum()) \\\n",
    "                        / (arrieta2H.AB.cumsum() - arrieta2H.SO.cumsum() - arrieta2H.HR.cumsum() + arrieta2H.SF.cumsum())\n",
    "arrieta2H['HR%'] = arrieta2H.HR.cumsum() / arrieta2H.BF.cumsum()\n",
    "arrieta2H['XBH%'] = (arrieta2H['2B'].cumsum() + arrieta2H['3B'].cumsum() + arrieta2H['HR'].cumsum()) / arrieta2H.BF.cumsum()\n",
    "arrieta2H['K%'] = arrieta2H['SO'].cumsum() / arrieta2H.BF.cumsum()\n",
    "arrieta2H['IP%'] = (arrieta2H.AB.cumsum() - arrieta2H.SO.cumsum() - arrieta2H.HR.cumsum() + arrieta2H.SF.cumsum()) \\\n",
    "                    / arrieta2H.BF.cumsum()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Grid O' Stats"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABMIAAAHFCAYAAAAQSlW/AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nIiIiIiIiIiJB+H9n0kcuiLnGpgAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1132fcba8>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "PITCHERS = {'Arrieta': {'df': arrieta, 'color': ja, 'style': '-'},\n",
    "            'Greinke': {'df': greinke, 'color': zg, 'style': '-'},\n",
    "            'Kershaw': {'df': kershaw, 'color': kc, 'style': '--'}}\n",
    "PITCHERS = OrderedDict(sorted(PITCHERS.items()))\n",
    "stats = ['rollingERA', 'K/9', 'AVG', 'OBP', 'SLG', 'OPS']\n",
    "row_titles = ['{}'.format(row_title) for row_title in PITCHERS.keys()]\n",
    "col_titles = ['{}'.format(col_title.replace('rolling', '')) for col_title in stats]\n",
    "\n",
    "fig, axes = plt.subplots(figsize=(16,6), nrows=len(PITCHERS), ncols=len(stats), sharex=True)\n",
    "fig.tight_layout(pad=1.2, h_pad=1.5)\n",
    "\n",
    "# label each column with stat name\n",
    "for ax, col_title in zip(axes[0], col_titles):\n",
    "    ax.set_title(col_title, size=15)\n",
    "\n",
    "# label each row with player name\n",
    "for ax, row_title in zip(axes[:,0], row_titles):\n",
    "    ax.set_ylabel(row_title, rotation=0, size=15, labelpad=40)\n",
    "\n",
    "for i, (name, pitcher) in enumerate(PITCHERS.items()):\n",
    "    for j, stat in enumerate(stats):\n",
    "        title = '{}: {}'.format(name, stat.replace('rolling', '')) # remove \"rolling\" from \"rollingERA\"\n",
    "        pitcher['df'][stat].plot(ax=axes[i,j], color=pitcher['color'], linestyle=pitcher['style'])\n",
    "\n",
    "        # for ease of comparison, let's plot the other pitchers on the same chart\n",
    "        # but let's make them a light grey with the appropriate linestyle\n",
    "        for k, v in PITCHERS.items():\n",
    "            if k != name:\n",
    "                v['df'][stat].plot(ax=axes[i,j], color='grey', alpha=0.4, linestyle=v['style'])\n",
    "        \n",
    "        axes[i,j].tick_params(axis='both', which='major', labelsize=13)\n",
    "        axes[i,j].axvline(allstarbreak, color='k', linestyle=':', linewidth=1)\n",
    "        axes[i,j].yaxis.set_major_locator(MaxNLocator(nbins=4))\n",
    "        axes[i,0].set_ylim(0, 6) # ERA\n",
    "        axes[i,1].set_ylim(0, 15.) # K/9\n",
    "        axes[i,2].set_ylim(0, .350) # AVG\n",
    "        axes[i,3].set_ylim(0, .4) # OBP\n",
    "        axes[i,4].set_ylim(0, .5) # SLG\n",
    "        axes[i,5].set_ylim(0, .9) # OPS\n",
    "#         axes[i,j].spines['top'].set_visible(False)\n",
    "#         axes[i,j].spines['right'].set_visible(False)\n",
    "plt.savefig('images/stats-comparison.png', bbox_inches='tight', dpi=120)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABIIAAAHFCAYAAACO8FIfAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nRK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1147ad2b0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "stats = ['IP%', 'BABIP', 'XBH%', 'HR%', 'K%']\n",
    "\n",
    "row_titles = ['{}'.format(row_title) for row_title in PITCHERS.keys()]\n",
    "col_titles = ['{}'.format(col_title) for col_title in stats]\n",
    "\n",
    "fig, axes = plt.subplots(figsize=(15,6), nrows=len(PITCHERS), ncols=len(stats), sharex=True)\n",
    "fig.tight_layout(pad=1.2, h_pad=1.5)\n",
    "\n",
    "# label each column with stat name\n",
    "for ax, col_title in zip(axes[0], col_titles):\n",
    "    ax.set_title(col_title, size=15)\n",
    "\n",
    "# label each row with player name\n",
    "for ax, row_title in zip(axes[:,0], row_titles):\n",
    "    ax.set_ylabel(row_title, rotation=0, size=15, labelpad=40)\n",
    "\n",
    "for i, (name, pitcher) in enumerate(PITCHERS.items()):\n",
    "    for j, stat in enumerate(stats):\n",
    "        title = '{}: {}'.format(name, stat) # remove \"rolling\" from \"rollingERA\"\n",
    "        pitcher['df'][stat].plot(ax=axes[i,j], color=pitcher['color'], linestyle=pitcher['style'])\n",
    "        \n",
    "        # for ease of comparison, let's plot the other pitchers on the same chart\n",
    "        # but let's make them a light grey with the appropriate linestyle\n",
    "        for k, v in PITCHERS.items():\n",
    "            if k != name:\n",
    "                v['df'][stat].plot(ax=axes[i,j], color='grey', alpha=0.4, linestyle=v['style'])\n",
    "\n",
    "        axes[i,j].tick_params(axis='both', which='major', labelsize=13)\n",
    "        axes[i,j].axvline(allstarbreak, color='k', linestyle=':', linewidth=1)\n",
    "        axes[i,j].yaxis.set_major_locator(MaxNLocator(nbins=4))\n",
    "        axes[i,0].set_ylim(0, 1.) # IP%\n",
    "        axes[i,1].set_ylim(0, .500) # BABIP\n",
    "        axes[i,2].set_ylim(0, .16) # XBH%\n",
    "        axes[i,3].set_ylim(0, .04) # HR%\n",
    "        axes[i,4].set_ylim(0, .36) # K%\n",
    "#         axes[i,j].spines['top'].set_visible(False)\n",
    "#         axes[i,j].spines['right'].set_visible(False)\n",
    "plt.savefig('images/rates-comparison.png', bbox_inches='tight', dpi=120)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Season Simulation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What if we replayed the season (sampling randomly from their performances)? Can we tell who is truly the ERA winner?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# use the bootstrap to pick a \"season\" with replacement.\n",
    "# do this 1000 times. compare the distributions of important stats\n",
    "np.random.seed(49)\n",
    "\n",
    "arrietaSeasons = []\n",
    "greinkeSeasons = []\n",
    "kershawSeasons = []\n",
    "\n",
    "for i in range(1000):\n",
    "    arrietaGameIds = np.random.choice(arrieta.index, size=len(arrieta.index), replace=True)\n",
    "    arrietaSeasons.append(arrieta.ix[arrietaGameIds]) # one DataFrame = one \"season\"\n",
    "    \n",
    "    greinkeGameIds = np.random.choice(greinke.index, size=len(greinke.index), replace=True)\n",
    "    greinkeSeasons.append(greinke.ix[greinkeGameIds])\n",
    "    \n",
    "    kershawGameIds = np.random.choice(kershaw.index, size=len(kershaw.index), replace=True)\n",
    "    kershawSeasons.append(kershaw.ix[kershawGameIds])\n",
    "\n",
    "\n",
    "# there's a much, much better way to structure this code ... but I was thinking of more things as I was writing it\n",
    "# so it just kept expanding. oh well. it's readable.\n",
    "\n",
    "sims = {'arrieta': defaultdict(list),\n",
    "        'greinke': defaultdict(list),\n",
    "        'kershaw': defaultdict(list)}\n",
    "\n",
    "for i in range(1000):\n",
    "    # ERA\n",
    "    sims['arrieta']['ERA'].append(arrietaSeasons[i].ER.sum() / (arrietaSeasons[i].IP.sum() / 9.))\n",
    "    sims['greinke']['ERA'].append(greinkeSeasons[i].ER.sum() / (greinkeSeasons[i].IP.sum() / 9.))\n",
    "    sims['kershaw']['ERA'].append(kershawSeasons[i].ER.sum() / (kershawSeasons[i].IP.sum() / 9.))\n",
    "    \n",
    "    # strikeouts\n",
    "    sims['arrieta']['SO'].append(arrietaSeasons[i].SO.sum())\n",
    "    sims['greinke']['SO'].append(greinkeSeasons[i].SO.sum())\n",
    "    sims['kershaw']['SO'].append(kershawSeasons[i].SO.sum())\n",
    "    \n",
    "    # hits\n",
    "    sims['arrieta']['H'].append(arrietaSeasons[i].H.sum())\n",
    "    sims['greinke']['H'].append(greinkeSeasons[i].H.sum())\n",
    "    sims['kershaw']['H'].append(kershawSeasons[i].H.sum())\n",
    "\n",
    "    # doubles\n",
    "    sims['arrieta']['2B'].append(arrietaSeasons[i]['2B'].sum())\n",
    "    sims['greinke']['2B'].append(greinkeSeasons[i]['2B'].sum())\n",
    "    sims['kershaw']['2B'].append(kershawSeasons[i]['2B'].sum())\n",
    "    \n",
    "    # doubles\n",
    "    sims['arrieta']['3B'].append(arrietaSeasons[i]['3B'].sum())\n",
    "    sims['greinke']['3B'].append(greinkeSeasons[i]['3B'].sum())\n",
    "    sims['kershaw']['3B'].append(kershawSeasons[i]['3B'].sum())\n",
    "    \n",
    "    # home runs\n",
    "    sims['arrieta']['HR'].append(arrietaSeasons[i].HR.sum())\n",
    "    sims['greinke']['HR'].append(greinkeSeasons[i].HR.sum())\n",
    "    sims['kershaw']['HR'].append(kershawSeasons[i].HR.sum())\n",
    "    \n",
    "    # walks\n",
    "    sims['arrieta']['BB'].append(arrietaSeasons[i].BB.sum())\n",
    "    sims['greinke']['BB'].append(greinkeSeasons[i].BB.sum())\n",
    "    sims['kershaw']['BB'].append(kershawSeasons[i].BB.sum())\n",
    "    \n",
    "    # HBP\n",
    "    sims['arrieta']['HBP'].append(arrietaSeasons[i].HBP.sum())\n",
    "    sims['greinke']['HBP'].append(greinkeSeasons[i].HBP.sum())\n",
    "    sims['kershaw']['HBP'].append(kershawSeasons[i].HBP.sum())\n",
    "    \n",
    "    # sacrifice flies\n",
    "    sims['arrieta']['SF'].append(arrietaSeasons[i].SF.sum())\n",
    "    sims['greinke']['SF'].append(greinkeSeasons[i].SF.sum())\n",
    "    sims['kershaw']['SF'].append(kershawSeasons[i].SF.sum())\n",
    "    \n",
    "    # opponent batting average\n",
    "    sims['arrieta']['AVG'].append(arrietaSeasons[i].H.sum() / arrietaSeasons[i].AB.sum())\n",
    "    sims['greinke']['AVG'].append(greinkeSeasons[i].H.sum() / greinkeSeasons[i].AB.sum())\n",
    "    sims['kershaw']['AVG'].append(kershawSeasons[i].H.sum() / kershawSeasons[i].AB.sum())\n",
    "    \n",
    "    # opponent OBP\n",
    "    arrietaOBP = (arrietaSeasons[i].H.sum() + arrietaSeasons[i].BB.sum() + arrietaSeasons[i].HBP.sum()) \\\n",
    "                    / (arrietaSeasons[i].AB.sum() + arrietaSeasons[i].BB.sum() + \\\n",
    "                       arrietaSeasons[i].HBP.sum() + arrietaSeasons[i].SF.sum())\n",
    "        \n",
    "    greinkeOBP = (greinkeSeasons[i].H.sum() + greinkeSeasons[i].BB.sum() + greinkeSeasons[i].HBP.sum()) \\\n",
    "                    / (greinkeSeasons[i].AB.sum() + greinkeSeasons[i].BB.sum() + \\\n",
    "                       greinkeSeasons[i].HBP.sum() + greinkeSeasons[i].SF.sum())\n",
    "        \n",
    "    kershawOBP = (kershawSeasons[i].H.sum() + kershawSeasons[i].BB.sum() + kershawSeasons[i].HBP.sum()) \\\n",
    "                    / (kershawSeasons[i].AB.sum() + kershawSeasons[i].BB.sum() + \\\n",
    "                       kershawSeasons[i].HBP.sum() + kershawSeasons[i].SF.sum())\n",
    "    sims['arrieta']['OBP'].append(arrietaOBP)\n",
    "    sims['greinke']['OBP'].append(greinkeOBP)\n",
    "    sims['kershaw']['OBP'].append(kershawOBP)\n",
    "    \n",
    "    # opponent slugging percentage\n",
    "    arrietaSLG = (arrietaSeasons[i].H.sum() + \\\n",
    "                  (arrietaSeasons[i]['2B'].sum() * 2) + \\\n",
    "                  (arrietaSeasons[i]['3B'].sum() * 3) + \\\n",
    "                  (arrietaSeasons[i]['HR'].sum() * 4)) / arrietaSeasons[i]['AB'].sum()\n",
    "        \n",
    "    greinkeSLG = (greinkeSeasons[i].H.sum() + \\\n",
    "                  (greinkeSeasons[i]['2B'].sum() * 2) + \\\n",
    "                  (greinkeSeasons[i]['3B'].sum() * 3) + \\\n",
    "                  (greinkeSeasons[i]['HR'].sum() * 4)) / greinkeSeasons[i]['AB'].sum()\n",
    "    \n",
    "    kershawSLG = (kershawSeasons[i].H.sum() + \\\n",
    "                  (kershawSeasons[i]['2B'].sum() * 2) + \\\n",
    "                  (kershawSeasons[i]['3B'].sum() * 3) + \\\n",
    "                  (kershawSeasons[i]['HR'].sum() * 4)) / kershawSeasons[i]['AB'].sum()\n",
    "    sims['arrieta']['SLG'].append(arrietaSLG)\n",
    "    sims['greinke']['SLG'].append(greinkeSLG)\n",
    "    sims['kershaw']['SLG'].append(kershawSLG)\n",
    "    \n",
    "    # at bats\n",
    "    sims['arrieta']['AB'].append(arrietaSeasons[i].AB.sum())\n",
    "    sims['greinke']['AB'].append(greinkeSeasons[i].AB.sum())\n",
    "    sims['kershaw']['AB'].append(kershawSeasons[i].AB.sum())\n",
    "    \n",
    "    # batters faced\n",
    "    sims['arrieta']['BF'].append(arrietaSeasons[i].BF.sum())\n",
    "    sims['greinke']['BF'].append(greinkeSeasons[i].BF.sum())\n",
    "    sims['kershaw']['BF'].append(kershawSeasons[i].BF.sum())\n",
    "\n",
    "    # pitches\n",
    "    sims['arrieta']['Pit'].append(arrietaSeasons[i].Pit.sum())\n",
    "    sims['greinke']['Pit'].append(greinkeSeasons[i].Pit.sum())\n",
    "    sims['kershaw']['Pit'].append(kershawSeasons[i].Pit.sum())\n",
    "    \n",
    "    # strikes\n",
    "    sims['arrieta']['Str'].append(arrietaSeasons[i].Str.sum())\n",
    "    sims['greinke']['Str'].append(greinkeSeasons[i].Str.sum())\n",
    "    sims['kershaw']['Str'].append(kershawSeasons[i].Str.sum())\n",
    "    \n",
    "    # strikes - looking\n",
    "    sims['arrieta']['StL'].append(arrietaSeasons[i].StL.sum())\n",
    "    sims['greinke']['StL'].append(greinkeSeasons[i].StL.sum())\n",
    "    sims['kershaw']['StL'].append(kershawSeasons[i].StL.sum())\n",
    "    \n",
    "    # strikes - swinging\n",
    "    sims['arrieta']['StS'].append(arrietaSeasons[i].StS.sum())\n",
    "    sims['greinke']['StS'].append(greinkeSeasons[i].StS.sum())\n",
    "    sims['kershaw']['StS'].append(kershawSeasons[i].StS.sum())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAYkAAAEZCAYAAABiu9n+AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nSklCRERC/X+8paYeuJZKDwAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x11354f780>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.title('ERA')\n",
    "plt.hist(sims['arrieta']['ERA'], label='Arrieta', alpha=.4)\n",
    "plt.hist(sims['greinke']['ERA'], label='Greinke', alpha=.4)\n",
    "plt.hist(sims['kershaw']['ERA'], label='Kershaw', alpha=.4)\n",
    "plt.xlabel('ERA')\n",
    "plt.ylabel('# of simulations')\n",
    "plt.legend(loc='best');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# helper functions for proper rounding of stats\n",
    "round_1 = lambda x: round(x, 1)\n",
    "round_2 = lambda x: round(x, 2)\n",
    "round_3 = lambda x: round(x, 3)\n",
    "\n",
    "arrietaERA = list(map(round_2, sims['arrieta']['ERA']))\n",
    "greinkeERA = list(map(round_2, sims['greinke']['ERA']))\n",
    "kershawERA = list(map(round_2, sims['kershaw']['ERA']))\n",
    "\n",
    "arrieta_cdf = pd.Series(dict(Counter(arrietaERA)))\n",
    "greinke_cdf = pd.Series(dict(Counter(greinkeERA)))\n",
    "kershaw_cdf = pd.Series(dict(Counter(kershawERA)))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "idx = np.arange(0, 3.51, .01)\n",
    "\n",
    "# what percentage of the time do each combination wind up with the same ERA?\n",
    "ERA = pd.concat([arrieta_cdf, greinke_cdf, kershaw_cdf], axis=1)\n",
    "ERA.rename(columns={0: 'Arrieta', 1: 'Greinke', 2: 'Kershaw'}, inplace=True)\n",
    "ERA = ERA.reindex(index=idx).fillna(0.)\n",
    "ERA['Arrieta-Greinke'] = ERA[['Arrieta', 'Greinke']].min(axis=1)\n",
    "ERA['Arrieta-Kershaw'] = ERA[['Arrieta', 'Kershaw']].min(axis=1)\n",
    "ERA['Greinke-Kershaw'] = ERA[['Greinke', 'Kershaw']].min(axis=1)\n",
    "ERA['Arrieta-Greinke-Kershaw'] = ERA[['Arrieta', 'Greinke', 'Kershaw']].min(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Arrieta-Greinke-Kershaw    385\n",
       "dtype: float64"
      ]
     },
     "execution_count": 17,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ERA[['Arrieta-Greinke-Kershaw']].sum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x11337eb00>"
      ]
     },
     "execution_count": 18,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gjreda/.virtualenvs/pitchfx/lib/python3.5/site-packages/matplotlib/collections.py:590: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  if self._edgecolors == str('face'):\n"
     ]
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXMAAAEACAYAAABBDJb9AAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xt0VPW5N/DvE4ggkEAIoFybihX1VQvH9hREyaiVWhDj\nrRWOcqmrlnoq3tbbWhUFVm0XvXg9eOLrpQELCqgVUcFyWQylckBfBFoEzOsFBZQEEJBALmTyvH9M\nMswkc93z29mX+X7WymJmZ89vP9kM3zz89mVEVUFERN6W53QBRESUPYY5EZEPMMyJiHyAYU5E5AMM\ncyIiH2CYExH5QNIwF5E/i0iViPwrallPEVkpIpUiskJEethfJhERJZOqM68AcGWrZb8GsFJVzwKw\nuvk5ERE5SFJdNCQiJQDeUNXzm5/vBFCqqlUicjqAoKqebXehRESUmJU589NUtar5cRWA0wzWQ0RE\nFmR1AFTDbT3vB0BE5LCOFl5TJSKnq+o+EekLoDreSiLCkCciskBVJdPXWOnMlwKY3Px4MoAlSQry\n7NeMGTMcr4H1O7f9vXtb/tN58ssrtXt93+d6/ValOjXxJQDrAQwRkd0i8hMAswFcISKVAC5rfk7k\nK1n8myJyRNJpFlWdkOBb37ehFiLXYJiT1/AK0AQCgYDTJWSF9WcnmzB3uvZssX5vSnmeueWBRdSu\nsYnstns3MGhQ7DK+nak9iAjUwgFQK2ezEBklkvH71hEeKZM8xGTDyzAnV+D/4ijXmG5iOGdOROQD\nDHMiIh9gmBMR+QDDnMhm5513Hv7+9787XUZWbrvtNjz88MNprTtlyhQ8+OCDNldkzty5c3HJJZc4\nXUbWGObkSiJi+1cmAoEAevbsiYaGhox/lm3btmHUqFEp19u1axfy8vLQ1NSU8TZamzNnDr797W+j\na9eu6Nu3Ly699FIsWrTI8njl5eWYPn16Wuta2b/xBINBDBw4MPK8oaEB1113HS6++GIcPXo06/H9\nhmFOLtb2/ijmvtK3a9curFu3Dnl5eVi6dGnC9VqHcGNjY0bbaZHtmT3Tpk3DE088gUcffRRfffUV\nvvjiCzz88MN4++23E27P9NlEpserr6/Hddddh6+//horV65EQUFBRrXkwtlSDHOiFF544QWMGDEC\nkydPxrx58yLLp0yZgttuuw1jxoxBt27dsGbNGpSUlOAPf/gDLrjgAhQUFCAUCqGkpASrV68GEA6W\n2bNn48wzz0SvXr1w44034tChQwAQ6d579OiBgoICbNy4ER9//DEuu+wy9OrVC71798bNN9+MI0eO\nJKy1srIS5eXlWLRoES6//HJ06tQJIoKRI0eioqIisl4gEMD06dMxcuRIdO3aFZ9++il27tyJK664\nAsXFxTj77LPx8ssvx/ysLVMnwWAQAwYMwKOPPorTTjsN/fr1w9y5c+PWc/ToUVx66aW46667ACDp\nNhKpra3FuHHj0NTUhLfeegunnnoqAGDDhg246KKLUFRUhKFDh2Lt2rUJf75PPvkEc+fOxeDBg1FY\nWIgzzjgDL774Ysx2fvnLX6Jnz54444wzYn7xVVRU4Nxzz0VhYSEGDx6MZ555JvK90tJS/PWvfwUA\nvPPOO8jLy8OyZcsAAKtXr8awYcNS/nzG2HjnLyVKR7z3CgANX3Np11f678/BgwdreXm5btq0SfPz\n87W6ulpVVSdPnqzdu3fX9evXq6pqXV2dlpSU6LBhw3TPnj1aV1enqqolJSW6evVqVVV9/PHHdcSI\nEbp3715taGjQqVOn6oQJE1RVddeuXSoiGgqFItv+6KOPdNWqVdrQ0KD79+/XUaNG6V133ZWw1vLy\ncv3mN7+Z8mcqLS3Vb3zjG7p9+3YNhUJ6+PBhHTBggM6dO1dDoZBu3rxZe/Xqpdu3b1dV1SlTpuiD\nDz6oqqpr1qzRjh076owZM7SxsVGXLVumXbp00cOHD8ese+DAAf3ud78beV1NTU3SbbS2Zs0a7d27\nt44aNUrLysq0oaEh8r09e/ZocXGxLl++XFVVV65cqcXFxXrgwIGEP19hYaFWVlaqquq+ffv0gw8+\nUFXViooKzc/P1+eee06bmpq0vLxc+/XrF9nWW2+9pZ988omqqq5du1a7dOmimzdvVlXVhx56SKdN\nm6aqqr/97W918ODBeu+996qq6oMPPpj07yrRe7B5eeaZa+VFaQ3MMKc0uTnM161bp/n5+Xrw4EFV\nVT377LP1scceU9VwmE+ePDlm/ZKSEq2oqGizrCXMzznnnMhjVdUvvvhC8/PzNRQK6aefftomzFt7\n7bXXdNiwYQm//5vf/EaHDx8es6x///7ao0cP7dy5s37++eeqqhoIBHTGjBmRdRYuXKiXXHJJzOt+\n9rOf6axZs1Q1HNDTp09X1XDInnrqqTF19unTRzdu3BhZ95ZbbtHzzjtP//SnP6W9jdbWrFmjnTt3\n1k6dOumrr74a873Zs2frxIkTY5b94Ac/0Hnz5sX9+WpqarRHjx766quv6vHjx2NeV1FRoWeeeWbk\n+bFjx1REtKqqKm5d11xzjT7xxBOqqrp69Wq94IILVFX1yiuv1Oeeey6y/0eNGqWvvfZa3DFUzYc5\np1mIkpg3bx5Gjx6Nnj17AgAmTJgQM9USfYAu2bIWu3btwrXXXouioiIUFRXh3HPPRceOHVFVVRV3\n/aqqKowfPx4DBgxA9+7dMXHiRBw8eBAAsGDBAhQUFKCgoABjx44FABQXF+PLL7+MGWPPnj04cOAA\n6uvrY+aOo+v87LPPsHHjxkhdRUVFePHFFxPWVVxcjLy8k/HRpUsX1NTUAAg3iG+99Rbq6uowderU\ntLaxe/dudOvWDQUFBSgsLIy8plevXli4cCEmT56MFStWxIz18ssvx4z1zjvvYN++fXF/vq5du2LR\nokV4+umn0a9fP1x11VX48MMPI98//fTTY34WAJGfZ/ny5Rg+fDiKi4tRVFSEZcuWRf4Ohg8fjsrK\nSlRXV2PLli2YNGkSdu/ejYMHD+K9995L68C3KbycnyiB2tpaLF68GE1NTejbty+A8IG4I0eO4J//\n/GfCMzaSnckxaNAgVFRUYMSIEW2+99lnn7VZdv/996NDhw7Ytm0bevTogSVLlmDatGkAgJtuugk3\n3XRTzPqXXXYZpk2bhk2bNuHCCy+MLI8O8Xh1Dho0CKWlpTGBmcnP1Xq9W2+9FYcOHcKYMWPw9ttv\no0uXLim30RKerV1zzTV49tlnccMNN2Dp0qUIBAIYNGgQJk6cGDN/nare0aNHY/To0aivr8cDDzyA\nW2+9NeUpo/X19bj++usxf/58lJWVoUOHDrj22msj+7NLly648MIL8fjjj+P8889Hfn4+LrroIjzy\nyCM488wzI01Ae2BnTpTAkiVL0LFjR+zYsQNbt27F1q1bsWPHDlx88cV44YUXLI3585//HPfffz8+\n//xzAMD+/fsjZ8j07t0beXl5+PjjjyPr19TUoGvXrigsLMTevXvxxz/+Men4Q4YMwdSpUzF+/His\nWrUKtbW1CIVCWL9+fZt1owP+qquuQmVlJebPn48TJ07gxIkTeO+997Bz587IuvF+IcTTst6cOXMw\nZMgQjBs3DnV1dRg7dmzSbSQzfvx4zJkzB2VlZVi/fj1uuukmvPHGG1ixYgVCoRDq6uoQDAaxd+/e\nuD9fdXU1Xn/9dRw7dgz5+fno2rUrOnTokHK7DQ0NaGhoQK9evZCXl4fly5e3+WVUWlqKp556CqWl\npQDCB1/nzJkTed5eGObkYmLjV2ovvPACbrnlFgwYMAB9+vRBnz59cNppp+H222/HggULEAqFMj6f\n+s4778TVV1+N0aNHo7CwECNGjMC7774LINzlPfDAAxg5ciR69uyJd999FzNmzMD777+P7t27Y9y4\ncbj++utTbvOpp57CHXfcgXvuuQfFxcUYOHAgHnroISxevDhm6iF6nG7dumHFihVYuHAh+vfvj759\n++K+++6LnFff+tzxZDVEr/vMM89gwIABuOaaa3DKKack3UaisVpMmjQJjzzyCMaOHYuqqiq8/vrr\n+N3vfoc+ffpg0KBBeOSRR2ICPPq1TU1NeOyxx9C/f38UFxdj3bp1KC8vj/uzRb+2oKAATz75JH78\n4x+jZ8+eeOmll1BWVhazbmlpKWpqaiJTKqNGjcKxY8fadYoF4P3MyQWa79/sdBlE7SrR+97q/czZ\nmRMR+QDDnIjIBxjmREQ+wDAnIvIBhjkRkQ8wzImIfIBXgJIrmP5wW6JcwzAnx9l5jnnr3xEiQOvP\nfmi9TlkZcPvtwBVXxC6vrgZ69zZfI5EJnGahnNKpU+p1amub76vYCq9rIjdjmFNO6dw59Tp1dW27\nd4BhTu7GMKeckm5nHi/MDXw0J5FtGOaUU7IJc3bm5GYMc8op6UyzMMzJixjm5FvxwpcHQMmvGObk\nW/Fuk52XxjueB0DJixjm5FvHjrVd1tiY+nWcZiEvYpiTb8UL81Ao9esY5uRFDHPyrXQ78/z8tssY\n5uQ1lsNcRO4WkW0i8i8ReVFE0ji0RNR+0g3zeAdFT5xou4xhTm5mKcxFpD+AaQAuVNXzAXQAMN5k\nYUTZOn687bJ40yzxuvCamrbLGObkZtlMs3QE0EVEOgLoAmCvmZKIzEjVmdfXA7NmxQ/9devaLrNy\nBejRo8A99wATJgBbt2b+eqJ0WbproqruFZFHAHwOoBbA31R1ldHKiLKUKsyffBKYOTP+axcsaLvM\nSmf+q18BTz8dfrxqFfDll0BH3quUbGDpbSUiRQCuBlAC4AiAl0XkJlWN+ScwM+pfSiAQQCAQsFon\nUcbq6toui55m+dWvMhvPSpi3BDkAHDgArFgBjBmT+TjkX8FgEMFgMOtxxMq9pEXkRwB+oKo/bX4+\nEcBwVf1F1Dpq532qiVL5y1+ASZNilxUWAkeOhB9n+nkYO3cCQ4Zk9prW21i8GPjRjzIbg3KLiEBV\nM/60Fqtz5p8BGC4ip0r4I2K+D2C7xbGIbBGvl0jnoqFMxssUP1CJ7GIpzFX1XQCvAHgfwD+bFz9j\nqigiE+KFbzoXDWUyXqbSuZ0AkRWWD8Wo6kwAM41VQmRYvLNPnO7MGeZkF761yLcSdeZWQ5lhTm7G\ntxb5VqLwtfqJQQxzcjOe8Uq+lSi0GxutBTPDnNyMYU6+lSh8Gxvjn4NudbxE4h1s5dm6ZBf2CeRb\niTrzUCj+1aFWx0sk3s26sjmbhigZhjn5VrLO3EqYZ9pVM8ypPTHMybecDvN4H1uXzamRRMkwzMm3\nkk2zxLtTYiomOnOGOdmFYU6+5cbOnNMsZBeGOfmW02HOzpzaE8OcfMv02SycMyc3Y5iTb7mxM+c0\nC9mFYU6+lewKUHbm5DcMc/KtROHbXtMsnDOn9sQwJ98yPc2S6RWgPJuF2hPvzUK+lSh8d+wAnnsu\n8/Fa/3KorgZWrwaGDgU6dQI2bgSKi4GDB4GePYGXX247xokTwJtvhj9xaMwYfvIQmcMwJ99K1JlP\nnJj9eF99BZx/fjjQM/HrX598/ItfAHPmWKuFqDVOs5Bvmb5DYfR4//VfmQd5a089ld3riaIxzMm3\nrH4IRSLRYf7mm2bGNF0j5S6GOfmWnZ25KQxzMoVhTr5lZ2duCsOcTGGYk2+xM6dcwjAn32KYUy5h\nmJNveWGahRcRkSkMc/It0+FrRxfNzpxMYZiTb3GahXIJw5x8y85pFlPBzjAnUxjm5Ft2dub19WbG\nZJiTKQxz8i07O3Mrd12MhwdAyRSGOfmWnZ25qTBnZ06mMMzJtxjmlEsY5uRbdk2zqALHj5sZk2FO\npjDMybfs6sxra3k2C7kPw5x8y64wNzXFAjDMyRyGOfmWXdMsJsOcZ7OQKZbDXER6iMgrIrJDRLaL\nyHCThRFly67L+dmZkxtl8xmgTwBYpqo3iEhHAF0N1URkBKdZKJdY6sxFpDuAS1T1zwCgqo2qesRo\nZURJNDYCn32W/KwSL0yzRNfY0MBpF7LO6jTLNwHsF5EKEXlfRJ4VkS4mCyNKZPVqoHdvoKQE6NED\neOKJ+Ot5qTO/6y6gUyfgW98CPvjA3PiUO6yGeUcA/wbgv1X13wAcA/BrY1URJTF9OnD4cPjxiRPA\nffcBdXVt1/NCZx4KAdu3n/yF9OmnwAMPmBufcofVOfM9APao6nvNz19BnDCfOXNm5HEgEEAgELC4\nOaKTdu+OfV5bC+zfDwwcGLvcK535X/4Su+z1182NT+4XDAYRDAazHsdSmKvqPhHZLSJnqWolgO8D\naPOfw+gwJzKloaHtsngB65Uwz+MJwjmtdaM7a9YsS+NkczbLNAALROQUAB8D+EkWYxGl7cSJtsvi\nBawXplkY5mSK5TBX1a0AvmuwFqK0sDMnaotvI/KcdDtzL4R5KMQwJzP4NiJPUXVumsWuK0AZ5mQC\n30bkKY2N8ZfHu3jIC515UxMgYm48yl0Mc/KUePPlAA+AEvFtRJ4Sb4oF8O6cOcOcTOHbiDwlk86c\nYU65hG8j8pRMOnMvTLPwbBYyhW8j8hQ3dOamPv8TYGdO5vBtRJ7ixznzeHXyVriUKYY5eYrfplma\nmuIHd6KfkygRhjl5ihumWRjm5EYMc/IUpzvzhobEFy5ZEQrFHy/RLy2iRBjm5ClOduZNTWa78pYx\n44U5O3PKFMOcPMXpA6B2hHm8aRZ25pQphjl5itOX87MzJ7dimJOn+LEz55w5mcAwJ09JtzNftQp4\n802z21YFFi82O2YoFH+a5d57gfp6s9sif2OYk6ck6szr60+G4qFDwJgx5rddXQ38/vdmx0zUmb/x\nBvDMM2a3Rf7GMCdPSTb9UFcX/rO83J45561bzY+ZKMwB4I47zG+P/IthTp6SLKRbDngeOGDPtk2e\nX94i0dksRJlimJOnJOvMW8LcrnC0Y9xknTlRJhjm5CnpdOZ2hbldnTnDnExgmJOnpBPmdoWjHeMm\nOpuFKFMMc/IUTrMQxccwJ09J1pm3hK3XwpydOZnAMCdPYWdOFB/DnDwl1w6AsmundDHMyVPS6czt\n6nTtCNZUB0BNft4o+RvDnDzFyc7ciWkW0zf2Iv9imJOnJOvMW8LWS505w5xMYZiTp/ixM082LsOc\n0sUwJ09x8mwWJw6AMswpXQxz8pRcO5uFYU7pYpiTp+Ta2SwMc0oXw5w8xY9XgLIzJxMY5uQpuXYF\nKMOc0pVVmItIBxHZLCJvmCqIKBk/zplzmoVMyLYzvxPAdgCGPwedKD4nb4HLzpzcrKPVF4rIAABj\nAPwWwD3GKqKcc+AAsHQp0LkzsH9/eCqlb19g377wBzV36wYUFQFffAG8807icbw4zfKnPyX/frKf\nlyia5TAH8BiAXwIoNFQL5aC6OmDoUGDv3uzH8uIB0FSWLwc2bACGD2//bZO3WJpmEZGrAFSr6mYA\nYrYkyiVz55oJcsCbnXk6Xn3Vme2St1jtzC8CcLWIjAHQGUChiLygqpOiV5o5c2bkcSAQQCAQsLg5\n8qt33zU3lhcPgKbj0CFntkvtIxgMIhgMZj2OqGZ37FJESgH8b1Ud12q5Zjs2+d9Pfwo8/7yZsYJB\noLQUGDIEqKw0M6YbjB8PvPSS01VQexERqGrGMx6mzjNnapMleQavdLC7M3cKz2ihdGRzABQAoKpr\nAaw1UAvlIJNhbvctcJ3CMKd08ApQcpQYPHzOzpxyGcOcHMVpltQY5pQOhjk5imGeGsOc0sEwJ0fZ\nEeacM6dcxDAnR/EAaGoMc0oHw5wcZUdnnuxmXF50/DjASzYoFYY5OcqOs1n8Fuaq4XvYECXDMCdH\nme7MVf03zQJwqoVSY5iTo0yHud+68hYMc0qFYU6OMh3myT5WzssY5pQKw5wcZfLAXijEzpxyF8Oc\nHGXyAh9Os1AuY5iTo0werOQ0C+Uyhjk5ynSYszOnXMUwJ0eZnmZhZ065Kuv7mRMlUlcXDtfCJB/5\nbbIz9/MB0E8+AXbsCD/u0QMoKkq9bym3sDMnW6xdC/TvD3TvDjz0UOL1OGeenocfBs49N/zVrx9w\n6qnhfXvPPU5XRm7BMCdb/Od/Al99FX78m98AX34Zfz2ezZKdxx4DPv7Y6SrIDRjmZIvt22Of/+Mf\n8dcz3ZkfP25uPK9YtszpCsgNGObULhJdHGQ6zHPxQCHvqEgAw5wcZnKaJRTKzTAnAhjm1E4S3eqW\nnXn2TN5GmLyLYU6OYpgTmcEwJ0eZPpuFYU65ihcNkaNMd+a1tebG8woeACWAnTk5zPQVoOzMKVcx\nzMlRnGbJHg+AEsAwJ4fxAGj2OM1CAMOcHMbOnMgMhjkZF69T5BWg9uE0CwEMc7JBvG47UQfOA6DZ\n4zQLAQxzskG8gE4U2pxmITKDYU7GOdWZM8wplzHMybhMOnOGefaampyugNyAYU7GcZqlfZn8hUje\nxTAn43gAtH2Z/IVI3mUpzEVkoIisEZEPRGSbiNxhujDyLqemWerqcjPY2JkTYP1GWycA3K2qW0Sk\nG4BNIrJSVXcYrI08yqlplqNHzY3lJQxzAix25qq6T1W3ND+uAbADQD+ThZEzdu4Err4aKCsDPvww\n9nuLFwOXXgpMmwbMnh1+PGNG+EOUa2uBu+8GAgFg3ry247YO7TVrgO9/H6iuNld7roZ5KAR88AEw\nZgxwzjnAuHHA888DV1wBTJwI7N8PzJ8f/vu6557cvLNkLsj6FrgiUgJgGICN2Y5Fzrv5ZmDTpvDj\nqipgw4bw4z17gBtvDD8OBk+uHwwCQ4YAX34JPP54eNnatW3Hje4ea2uBa68FjhwxW3uuhnljIzB+\nPLBtW/j5zp3Am2+e/P7u3Sf/ToJBYNAg4K672r1MsllWYd48xfIKgDubO/QYM2fOjDwOBAIIBALZ\nbI5s1th4MsgBYOPG8NWFIsCjjyZ+3aRJqadLosP8zTfNBzmQmwc/gfAvx5Ygj6f1L9e772aYu0kw\nGEQwukOyyHKYi0g+gFcBzFfVJfHWiQ5zcr8TJ9oua2wE8vOBr75K/Lp05r2j1zl8OPPa0lFXZ8+4\nbmfHL0ZqP60b3VmzZlkax+rZLALgeQDbVfVxS1sm12loSG+ZFdGduakxW2OYUy6zep75SAA3A7hU\nRDY3f11psC5yQLzOPN4yK6LD3NSYrdXX2zOu2339tdMVkBtYmmZR1X+AFxz5jp2defQ0Cztzsxjm\nBDCQKYrXO/NcDXNOsxDAMKconDP3JnbmBDDMKYqdnXn0NItdnXkuXsoPsDOnMIY5RbRXZ25XmOeq\n48edroDcgGFOEe01Z87wITKPYU4R7XU2S65eqUlkJ4Y5RbRXZ84wJzKPYU4R7TVnzjAnMo9hThHt\ndTYLw5zIPIY5RbAzJ/IuhjlFJOvMs/00G4Y5kb0Y5hSRrDPPtkPnNIu7qDpdAZnGMKeIZJ15tnPn\n7MzdhRdu+Q/DnCLs7MwZ5u5i1/1xyDkMc4qwszNvmWYJhXL3vuNuws7cf7L+QGfyrrffBj76KPxh\nwL16xe/WHn00/IHAK1dmt63GxnCIl5dnNw6ZsX49MHYssG4dsHp1ONy7dwe6dg1//z/+Aygqavu6\nr78GFiwA+vYFysrCH/S9ZAkwdChwySXhdTZsAP72N+CUU4Drrgt/4De1A1W15Ss8NLnVc8+phg+D\nqX7jG6oNDaqzZ59cZvrrO99RLSuzb3x+Zf41c6aqSPzvnXWWaigU+55palL99rdPrnPffapFRSef\nL12q+ve/q+blnVxWWKi6e7cjb3HPas5OZPol4deaJyJq19iUPZHY5wsXApWVwEMP2bO9M84APvnE\nnrHJHsuWAT/84cnn69cDI0cmXr9PH+Dmm8P/m4tWUQFMmWJLib4kIlBVSb1mLM6ZEwBg2zZ751EP\nHbJvbLJHZWXs808/Tb5+dTVw+HDb5fGWkXkMc4qw8wwHnsGSG+L9PfPvvn0wzCnCzs6cp8LlBoa5\ncxjmFMHApWTSOQTGMHcOw5wiGOYUrakp9nltberXMMydwzDPQfE++LipiReSUKzW4Z1OKDPMncMw\nz0HxPoPz+HF25hSrdQgzzN2NYZ6DEv2DY2dO0ayEeU1N6nHIHgzzHJQozNmZUzQrYX7gQOpxyB68\nN0sOShTm2X4ABfmLlTBPZxyyB8M8ByUK89aX+FNuY5h7C6dZchDnzCkdDHNvYWeeg9iZUzoY5t7C\nzjwHsTOndJgK8+PH07t6lLLDMM9BPJuF0mEqzFXTu3qUssMwz0HszCkdpsI829dSehjmOYidOaWD\nYe4tlsNcRK4UkZ0i8v9E5F6TRZG94v3DamoCjh5t/1rIvY4di53rZpi7m6UwF5EOAOYAuBLAuQAm\niMg5JgtzWjAYdLqErCSrP9E/LHd9IkzQ6QKyEHS6gCwFAYSDvK4Okcfx7umTrvYMc6//27XK6qmJ\n/w7gI1XdBQAishBAGYAd0Stt2pRVbY568cUgCgoCTpdhWbL6P/88/mvq620rx4IggIDDNVgVhHdr\nB6Lr/5//Abp3D783sjkjZcsWoEMHE7Wl5vV/u1ZZDfP+AHZHPd8D4HutV/rOdyyO7hLPPut0Bdnx\nev3kvMsvNzPO1KlmxklXLr73rYY5zxolAEB+vrmzYAoLTz6uqwM6d06+vmpm8/zR46ejqSn+XQCB\ncJfZtWvb5V9/HX/9Tp3CX9lKNH6Lzp1PTo1QbhG18H8nERkOYKaqXtn8/D4ATar6+6h1GPhERBao\nasbXY1sN844APgRwOYAvALwLYIKq7kj6QiIisoWlaRZVbRSR2wH8DUAHAM8zyImInGOpMyciInfJ\n+grQdC4eEpEnm7+/VUSGZbtNk1LVLyIBETkiIpubv6Y7UWc8IvJnEakSkX8lWcfN+z5p/S7f9wNF\nZI2IfCAi20TkjgTruXL/p1O/y/d/ZxHZKCJbmuufmWA9t+7/lPVnvP9V1fIXwlMsHwEoAZAPYAuA\nc1qtMwbAsubH3wOwIZttmvxKs/4AgKVO15qg/ksADAPwrwTfd+2+T7N+N+/70wEMbX7cDeFjSF56\n76dTv2v3f3N9XZr/7AhgA4DveWX/p1l/Rvs/2848cvGQqp4A0HLxULSrAcwDAFXdCKCHiJyW5XZN\nSad+AHDJ/adkAAACXUlEQVTlnb5VdR2AQ0lWcfO+T6d+wL37fp+qbml+XIPwBXP9Wq3m2v2fZv2A\nS/c/AKhqyzWppyDcjDW1WsW1+x9Iq34gg/2fbZjHu3iofxrrDMhyu6akU78CuKj5v2nLROTcdqsu\ne27e9+nwxL4XkRKE/4exsdW3PLH/k9Tv6v0vInkisgVAFYAVqvpeq1Vcvf/TqD+j/Z/tJw2le/S0\n9W8Xtxx1TaeO9wEMVNXjIvJDAEsAnGVvWUa5dd+nw/X7XkS6AXgFwJ3NHW6bVVo9d9X+T1G/q/e/\nqjYBGCoi3QG8JiL/S1U/aLWaa/d/GvVntP+z7cz3AhgY9Xwgwr/9kq0zoHmZG6SsX1WPtvx3SFWX\nA8gXkZ7tV2JW3LzvU3L7vheRfACvApivqkvirOLq/Z+qfrfv/xaqegTAGoRv/BfN1fu/RaL6M93/\n2Yb5/wXwLREpEZFTANwIYGmrdZYCmARErhw9rKpVWW7XlJT1i8hpIuFPxxSRf0f4dM6v2r9US9y8\n71Ny875vrut5ANtV9fEEq7l2/6dTv8v3fy8R6dH8+FQAV6DVjf7g7v2fsv5M939W0yya4OIhEZna\n/P3/o6rLRGSMiHwE4BiAn2SzTZPSqR/ADQBuE5FGAMcBjHes4FZE5CUApQB6ichuADMQPpDi+n0P\npK4fLt73AEYCuBnAP0Vkc/Oy+wEMAjyx/1PWD3fv/74A5kn4dtx5ABY1729PZA/SqB8Z7n9eNERE\n5AP82DgiIh9gmBMR+QDDnIjIBxjmREQ+wDAnIvIBhjkRkQ8wzImIfIBhTkTkA/8fPBt09sJJsPkA\nAAAASUVORK5CYII=\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x113355128>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ERA[['Arrieta-Greinke-Kershaw']].plot(kind='area')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABBAAAAIdCAYAAACEK44UAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x1183cc710>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "metrics = ['ERA', 'SO', 'AVG', 'OBP', 'SLG']\n",
    "fig, axes = plt.subplots(figsize=(15,8), ncols=len(metrics), nrows=3, sharex='col', squeeze=False)\n",
    "fig.tight_layout(pad=3.0, h_pad=5.0)\n",
    "cmap = plt.get_cmap('Paired')\n",
    "\n",
    "for j, metric in enumerate(metrics):\n",
    "    for i, name in enumerate(sorted(sims.keys())):\n",
    "        ci = np.percentile(sims[name][metric], q=[2.5, 97.5])\n",
    "        axes[i,j].hist(sims[name][metric], color=cmap(1.*j/len(metrics)))\n",
    "        axes[i,j].axvline(ci[0], linestyle=':', color='k')\n",
    "        axes[i,j].axvline(ci[1], linestyle=':', color='k')\n",
    "        axes[i,j].xaxis.set_major_locator(MaxNLocator(nbins=4))\n",
    "        axes[i,j].set_title('{}: {}'.format(name.capitalize(), metric))\n",
    "        axes[i,j].spines['top'].set_visible(False)\n",
    "        axes[i,j].spines['left'].set_visible(False)\n",
    "        axes[i,j].spines['right'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Pitch f/x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "arrietaPitches = pd.read_csv('data/pitchfx/arrieta.csv', parse_dates=['game_date'])\n",
    "greinkePitches = pd.read_csv('data/pitchfx/greinke.csv', parse_dates=['game_date'])\n",
    "kershawPitches = pd.read_csv('data/pitchfx/kershaw.csv', parse_dates=['game_date'])"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Add some columns to make things easier"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Ball                         1148\n",
       "Foul                          612\n",
       "Called Strike                 605\n",
       "In play, out(s)               413\n",
       "Swinging Strike               352\n",
       "In play, no out               128\n",
       "Ball In Dirt                   42\n",
       "In play, run(s)                39\n",
       "Swinging Strike (Blocked)      31\n",
       "Foul Tip                       25\n",
       "Foul Bunt                      15\n",
       "Foul (Runner Going)             9\n",
       "Intent Ball                     8\n",
       "Hit By Pitch                    6\n",
       "Missed Bunt                     5\n",
       "Name: pitch_result, dtype: int64"
      ]
     },
     "execution_count": 21,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrietaPitches.pitch_result.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Strikeout              1165\n",
       "Groundout               710\n",
       "Single                  387\n",
       "Walk                    270\n",
       "Flyout                  245\n",
       "Lineout                 197\n",
       "Double                  106\n",
       "Pop Out                  85\n",
       "Forceout                 66\n",
       "Grounded Into DP         52\n",
       "Field Error              29\n",
       "Home Run                 23\n",
       "Fielders Choice Out      16\n",
       "Hit By Pitch             15\n",
       "Sac Bunt                 13\n",
       "Triple                   12\n",
       "Double Play              12\n",
       "Intent Walk               8\n",
       "Strikeout - DP            7\n",
       "Runner Out                6\n",
       "Bunt Groundout            6\n",
       "Fielders Choice           5\n",
       "Sac Fly                   2\n",
       "Bunt Pop Out              1\n",
       "Name: atbat_result, dtype: int64"
      ]
     },
     "execution_count": 22,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "arrietaPitches.atbat_result.value_counts()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "# if it's not a ball, it's a strike\n",
    "ball_vals = ['Ball', 'Ball In Dirt', 'Intent Ball', 'Hit By Pitch']\n",
    "swing_and_miss = ['Swinging Strike', 'Swinging Strike (Blocked)', 'Missed Bunt']\n",
    "hit_vals = ['Single', 'Double', 'Triple', 'Home Run']\n",
    "\n",
    "arrietaPitches.loc[arrietaPitches.pitch_result.isin(ball_vals), 'is_strike'] = 0\n",
    "arrietaPitches.loc[arrietaPitches.is_strike != 0, 'is_strike'] = 1\n",
    "arrietaPitches.loc[arrietaPitches.pitch_result.isin(swing_and_miss), 'swing_and_miss'] = 1\n",
    "arrietaPitches.loc[arrietaPitches.atbat_result.isin(hit_vals), 'is_hit'] = 1\n",
    "arrietaPitches.loc[arrietaPitches.atbat_result == 'Single', 'total_bases'] = 1\n",
    "arrietaPitches.loc[arrietaPitches.atbat_result == 'Double', 'total_bases'] = 2\n",
    "arrietaPitches.loc[arrietaPitches.atbat_result == 'Triple', 'total_bases'] = 3\n",
    "arrietaPitches.loc[arrietaPitches.atbat_result == 'Home Run', 'total_bases'] = 4\n",
    "\n",
    "greinkePitches.loc[greinkePitches.pitch_result.isin(ball_vals), 'is_strike'] = 0\n",
    "greinkePitches.loc[greinkePitches.is_strike != 0, 'is_strike'] = 1\n",
    "\n",
    "kershawPitches.loc[kershawPitches.pitch_result.isin(ball_vals), 'is_strike'] = 0\n",
    "kershawPitches.loc[kershawPitches.is_strike != 0, 'is_strike'] = 1"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Who gets hit harder - Arrieta vs. Greinke vs. Kershaw"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAzkAAAFCCAYAAADSaBMyAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3Xu8XGV97/HvL0GIICGilrtuL6BVwGA5qHgs8YZYFWK9\nQRXd2thD6ZHGWDSJtdJSY5TTlFoPxSNaUBSNCimcV6HBS6iQsnfYsLkjydENSUwCCJtAZAcSnvPH\nWpPMHua6Z80za/3W5/16zSt7ZtZe3/XsmfVkPbOe3xoLIQgAAAAAvJjW7w0AAAAAgCwxyAEAAADg\nCoMcAAAAAK4wyAEAAADgCoMcAAAAAK4wyAEAAADgCoOcAjGzO8zsD/u9HbGZ2ZiZvaXLdfy7mZ2e\n1TYBRWdmi8zsG20ue46ZfafX2xRTFm0ysw+Z2X9ktU1A0ZnZ02b2kn5vR79k0f6yHuv1AoOciMxs\nlZk9bGZ7TuX3QwhHhhD+s42cgXRHm/Lrm/7+42b2mJk9aGbfM7P9qp5fZWZPpM+Pm9l1ZnZkg3Ut\nNLPr6jz+fDN70sxe2WJzQnqbshDCH4UQvpPmDprZL7pZHxCbmZ1qZkPpfrnFzG40sz+f6vpCCF8K\nIXyi3cWnmlPNzC42s+1pv7HVzG6q/s883Td3ps8/Zmb/z8zOaLCuQ8zsqXoHFGZ2hZmd12Jzum5T\nCOG7IYS3V+WW+gAP+VX7YWHanzxsZm/s53Z1q+p4p9JnbDaz/21me1QtM2Zmv0uff9jM/q+ZHdpg\nfRea2SV1Hn+1mU2Y2axetkeafKzn8QOmmBjkRGJmA5LeKOlpSSe3WHZazf09Gi3bKnaKv1dxdAhh\nX0kvkfRcSedUPRck/UX6/P6SVklqtCN+R9Lx6d+g2qmSbg0h3NXldgKumdmnJZ0v6cuSDgghHCDp\nDElvaPShSTcfctRbXUbrCZK+HELYN4QwU9K/SLrczKrXf0P6/L6S3ivpK2Y2+xkrCmGjpJ9KmnSG\n1sz2l/QOSRe32Jas2hRrvUA3dn1YaGYflfQ1SX8UQujoAz8zm96DbcvCfmmfcZSk10v6i6rngqR3\npc8fJGmLpH9usJ6LJf2xme1d8/jpkq4KIYxnutXoKQY58XxE0n9JukTSR6ufSD/d/Jd0StXjkt6U\nfvLwGTO7TdJjZja9+pMYSyw0s3Vm9pCZ/cDMnpuusnK2Zzz95OK1ZvZSM/tZuuyDZnZp9ZmZZkII\nj0m6SlLdMy4hhKcl/aDJ8xsl/Uw1ByPp3+TbaXveZWajZvaImd1gZkfVW5eZ7WVm55vZxvT2j9UH\neWZ2SrqeR9O/zYnp46vM7E/N7BWSLpT0+qpPdY5NPxm3qvX8sZmNtvP3AXop3U//VtKfhxAuDyFs\nk6QQwmgI4cMhhCfT5Wr7kTlmdrCZ/djMHjCzX5nZJ6vWu+sTwqpPQz9iZvelfcTiBtvzLDO7zMx+\nlP7cMKMNlyn5kOSA6ojKDyGEUUl3S3pFg9+/RM/sV06VdGcI4c5Ots3MTjazO9M+6OdpX1F57jAz\nuzxdz0Nm9s/p47vOCptZpd+91ZKzVB8ws9vN7F1V63lW+vuvbvWHAXrAzOx/SPpfkk4MIdyYPrif\nmX3TzH5jZhvM7NzKhyTpe/wGM1tmZg9J+oKZvcyS2RvjaV/x/Zqct5nZvem+9LWq8IbHIWb2MTO7\nsmrZtWa2vOr+ejM7ulUDQwgPSrpWjY9Htkv6cZPnb5S0UckHLJXs6ZJO0+7jlY+b2V3p8cM1ZvbC\neutK/67fTvuNMTP7XM1xxifS9WxN+57Z6eNjZvYWMztJ0iJJH0yPV24xs/eZ2U01OQvMbEWrv00Z\nMciJ5yOSLpX0XUlvN7Pfq3n+NEnnhhCeI+l6JZ88nKrkE8lZIYSdmjxt6ywlZ4T+UMknE49I+t/p\nc5XTz/uln4gOpfe/mC77+5IO0+QzM/WYJFkyeJqrZJBW7/k9JX2ozvPVJh2MmNnLJb1a0vfM7BhJ\n35T0CSUHPF+XdKWZPavOej4n6bj0d1+d/vzX6TqPS3M+HULYT8nf5r7094KkEEK4R9L/kPRf6d9m\n/xDCTZIekvT2qpzT03UB/fZ6SXtJ+rc2lq3uR/5LyYcTt0g6WNJbJM23dOCv+tO13iDpiHTZv0n3\n013MbIakFZKekPR+STtbZNRT6TemK+kXf6Xkk9VnLpjs00dIuqne8+m2PN/M3lD12OmSLkkPJtra\nNjM7QtL3lPSrz5f075KuMrM90u38v5J+LelFkg5RMjibJIRQmXZ3dAhhZghhuZKDog9XLfZHkjaG\nEG5t0B6gl85U8oHJm0MIN1c9frGkJyW9VNIxkk6UNK/q+eMk/T9JvydpiaRzJV0TQpilZH/4ak3O\nOyUdK+loSR8ws+r/Wxsdh1yn9NjFzA6W9CxJr0vvv0TSPiGE25q0zap+9+1qfLyyt6QP1nm+2reV\n9E0Vb02359/N7BQlA4/3KOkrfqE6/UHqnyXtK+nFkk5I1/mxdDveL+kLkk5Pz2qfLOnh9PcqxyvX\nKPl7fz89XjlG0pWSXlz9IYw4XmkshMCtxzdJ/11JB7J/ev9uSfOrnv9XSRfX/M6vJQ3WeezN6c93\nVX5O7x+UZkyTNKBkWty0Jts0V9LNTZ5/WtKjSgZPO9K8g6ueXyVpW/r8RPrvm5usb+90fa9P739R\n0hXpz/8i6e9qlr9H0hvrtHudpJOqljtR0q/Tn78u6R8a5P9c0sfTnwcl/aLm+c9IujT9ef+0bQf0\n+73DjZuSg+RNNY+tTve530n67+ljF1f3I5JeK+m+mt9bJOlb6c/nSPpO+nOlz6jex4ckfSD9+QtK\nBlnXSTq/3Yw6bblYyQCpsu2/k/QnVc8PSnoqfX5ruk3/1OLv8w1JX09/PlzSdiUHH520//NKDiQq\ny5mkDUoOTF4v6QHV6U9r+5J0e19Sdf/gtB3PSe//SNJf9fs9xa18N0ljSv4PvkKSVT1+gJL/w2dU\nPXaapJ+lPw/W2Y8uUfL/7SF1cp6WdHzV/R9I+myDbZp0HCLpfiWDrFPT9d8o6eVKBgYrGqyj0nc9\nkt6eVvJB8b41bX8sff7JdN8+ssnf6oXpcgen978r6R/Tn69WeiyR3p+m5HjhsKr2v0TS9LQvekXV\nsn8m6efpz/8h6ZMN8quPeXb1U1XPXyDp79OfX6VkcPSsfr/H8njjTE4cH5W0MoRQGaVfppopa5LW\n1/m9eo9VDEi6Ij0d/IiSQcgOTZ72sYuZHWBm309PRT+qpE7meS22+5gQwnMlzVAyxesXtntqWFCy\ngz43hDBD0rsl/cgaTDMLIfxO0g+1+9ORDyk99avk09FPV9qStudQJQcItQ7W7rMzUtIpVpY7VMmn\nTVPxXUnvTj/l+YCk/wwh1P10GYjst0rOVuzqr0MIx6f75m+1+4x8UPKfd8WLJB1cs18tUvJpbCOb\nq37+naTnpD+bkk9Vj1RSFzTVjCDpvLTf2FvSf5N0Xjoto+LG9PmZkg6UdKSZLWmyzZdIer+Z7aXk\nE81rQggPdbhtByvpS5KNTI4e1iv5lPpQJQd5TzfZhvqNDeE3km6Q9D5LCpZPUtLXALEFJXV8L5d0\nUdXjL1JylmJT1X5yoaQXVC1TeyzyGSV9wrAlVwL7WM3zdfuRNo5DrpM0R8kZnevS2wlKZmU84+JF\nNZ6X9ol7K/kQqPqqh0HSKenze0n6pKTrzKzu8VII4X4l0/5PN7PnSDpFk49X/qnqb/Xb9PFDalbz\nfCV/19rjlcpy3RyvXCLpT9KfT5f0gxDCU1Ncl2sMcnrMzJ6t5KD5BDPbZGabJM2X9Oo25pc2u/rP\n/UrOaDy36rZ3CGFTg99bomRqyZEhmcp1utp8/UMIO5RMJ3uxkoOcestcr+Qsy9uarOoSJaeuT1TS\n6V1V1ZYv1rTlOSGEH9RZx2+UDPAqXqhk/qyUdMQva6dJdbZ/o5LT13+s5JNzrmaCvPgvJZ8Izm1j\n2er39v1KznJW71czQwjvqrNsO+tdKWmppJ9WTbdtldF8pSHcqWQQ8M4Gzz8g6XIlH6I0coOSTzJP\nUfLhSWXaxvoOtm2jkoMXSUnhgpKpNBvS9bzQpl5wfYmSPuX9klanfTTQD1uUTNt8o5ldkD62Xkn/\n8ryq/WS/EEL1B5aT+ooQwpYQwp+FEA5RMv37Amt+VcHK77c6DrlO0puUDHJWafeg5wS1HuRUtm1C\nyT73OksuQlL7fAghXJFuxxtqn69SmWL/XiX9yC3p4/dL+rOafmWfkNY3VXlIyVnpgarHXqjdH0R1\nc7wyJOlJS65MeZo4XmmIQU7vzVVyhuX3tbuO5PeVzOOsnNWYytV4LpS0pFLwZmYvMLPKVdseVHLK\n9KVVyz9HySnVrWZ2iKSz28ionjv/MSWfyPyq9vl0mdcrKeS7s9HKQnIVl3Elp6EvSwdPUjLd5Awz\nO84S+5jZO9NPUGpdJumvLbn89PMl/Y2SWicpGYh9zMzebGbTLLnE7MvrrGOLpEPr1Px8W9JnlQzk\nLm/UDiCmkFzN52+VHEi818z2Td/fsyXtU7VobT8yrOSiJZ8xs2dbcvGSI83s2AbLN2PptpynpHbl\np2b2PElrWmTUW091v/EKJdN576i7cJLxnkbPp9sUlOy7X5G0n3Z/eDLUwbb9UNI7077jWZI+rWQK\nz+q0jZskLTWzvc1shpkd32BztmhyvysldUOvUVLv8+1n/AYQUTrIfoukk8xsWXp/paRlVX3LS63J\n97SY2ftt9yWYx5UciDc601ndz7Q6DqkMcmakZ0GvV3L2c38ltXXNVI5XKmd0N1XNnql+3tK6mucq\nKR1o5MdKBiXnaPKVGi+UtNjSr76w5OIC76/95ZDUUS+X9EUze46ZvUjSp7T7eOUiSX9lZq9Jt+ll\nVv8CBpslDaQfvFT7tpIr5D0ZQljdpB2lxiCn9z6iZA74hhDCA+lti5I355+kA4ipfA/MPykpQFtp\nZluVfNp7nLRratgXJd1gydU/jlNykPQaJXNyr1KyA7fKvNXMHlPyKenpkt4TJl8+8WuWXpteyQ73\nuRBCqy/G+7aSjmPXf/YhhBElFx34Wpq1Vsnfrd72/b2SIuTb0ttN6WMKIaxRMhj7RyUd76o0q9ZP\nlQzGNpvZA1WPX5Euf0X6aRCQC+ngYoGSaSKb09uF6f1KAe2kfiSdXvUuSbOVfDjxoKT/I2lmveXV\nvD/YtWwI4e+VHLj/RElRbbOMeuv5TNpvPK5kSsm3Qghfr3r+9VX9yl1KBg6trtj2bSVnXnZN2+ik\n/SGEXyo52/LP6XLvlPTuEMKO9GDl3Uo+db1fySewH6hdR+ocJRc9eMTM3peue0JJfzsgPjxBDoQQ\n1kt6s5JplF9U8v/tnkr2t4eVDPoPrCyuZ/YNx0q6Md1H/03SWSGEsarlJ8VV/dz0OCSEsFZJ7cwv\n0vtblUzpuiH9MKOZ8XR7Niupx6v9qo6r0ucfVXLhhI+EEBoOctLjqB8rmV723arHVyiZsvv9dMrd\n7Zp80aLq7fykkkHdr9I2fVdJDbZCCD9Scpz2PSV1e5crGXjV+mH6729t8lXVvqOkHufSZ/4KKqzZ\n+8bMDlPyn8fvKXnh/k8I4atmdo6SK288mC66OIRwdfo7iyR9XMmpwLNCCCt7t/lAtsxsnZJT0T/r\n97YA8MHM/kbSy0IIH2m5MAC0kJZCbFFSOz3V2h73Wn3J5FOSPhVCGE2nDo2Y2bVKBjzLQgjLqhdO\nT999UMm0pUMk/cTMjphKwSYQm5m9V9LTDHAAZCWtC/i4Jl9KGgC68eeShhngNNd0kBNCqEyLUAjh\ncTO7W7uvDFFvPvcpSmotnpI0ln4qfpySywACuWVmq5R84WDtFwsCwJSY2SeUTJ/9dnpxFgDoipmN\nKTnZ0M7FaEqt1ZmcXcxsQMn1y29UckWKT5rZR5TURHw6rdU4WJMHNBv0zMvqAbkTQpjT720A4EsI\n4RtKLqwCAJkIIQz0exuKoq0LD6RT1X4k6S9DCI8r+fLGFysp6Nwk6R+a/HqnBfUAAAAAMGUtz+Sk\nl9P8sZJvg18h7frugsrzF2n3JTs3KrnCTcWh2v0dJtXrZOAD5FAIYSqXM+8r+hMgf+hLAGRlqv1J\n0zM56XW5vynprhDC+VWPH1S12HuUXEJPSi5pfKqZ7WlmL5Z0uJLvaqi3wT29feELX+h5Rqwc2lLu\nnFhtKTIvr4Gn9xNtyV9GrJwi8/IaeHo/0ZZ85hTh2KTVmZw3KLkizG1mVvkipsWSTku/iC5I+rWS\nb7xVCOEuM1uu5FrrOySdGbrdwikaGxtzk0Nbyp0Tqy1ojPdTPnNoS35z0Bjvp/xlxMqhLXG1urra\n9ap/tufqJr+zRNKSLrcLAAAAAKakrQsPFNHg4KCbHNpS7pxYbUFjvJ/ymUNb8puDxng/5S8jVg5t\nicv6MZvMzPo1iw1AA2amUNBiYfoTID/oSwBkpZv+xO2ZnFWrVrnJoS3lzonVFjTG+ymfObQlvzlo\njPdT/jJi5dCWuNwOcgAAAACUE9PVAEhiigmAbNCXAMgK09UAAAAAIOV2kMO8x3zmeGpLrJwizHv1\njvdTPnNoS35z0Bjvp/xlxMqhLXG5HeQAAAAAKCdqcgBIYh49gGzQlwDICjU5AAAAAJByO8hh3mM+\nczy1JVZOEea9esf7KZ85tCW/OWiM91P+MmLl0Ja43A5yAAAAAJQTNTkAJDGPHkA26EsAZIWaHAAA\nAABIuR3kMO8xnzme2hIrpwjzXr3j/ZTPHNqS3xw0xvspfxmxcmhLXG4HOQAAAADKiZocAJKYRw8g\nG/QlALJCTQ4AAAAApNwOcpj3mM8cT22JlVOEea/e8X7KZw5tyW8OGuP9lL+MWDm0Ja49+r0BAAAU\nwfyzF2l82/aWy83aZy+df96XImwRAKARanIASGIePdDK4JkLNDDntJbLja26TBdfsCzCFuUTfQmA\nrFCTAwAAAAApt4Mc5j3mM8dTW2LlFGHeq3e8n/KZQ1vym4PGeD/lLyNWDm2Jy+0gBwAAAEA5UZMD\nQBLz6IFWqMlpD30JgKxQkwMAAAAAKbeDHOY95jPHU1ti5RRh3qt3vJ/ymUNb8puDxng/5S8jVg5t\nicvtIAcAAABAOVGTA0AS8+iBVqjJaQ99CYCsUJMDAAAAACm3gxzmPeYzx1NbYuUUYd6rd7yf8plD\nW/Kbg8Z4P+UvI1YObYnL7SAHAAAAQDlRkwNAEvPogVaoyWkPfQmArFCTAwAAAAApt4Mc5j3mM8dT\nW2LlFGHeq3e8n/KZQ1vym4PGeD/lLyNWDm2Jy+0gBwAAAEA5UZMDQBLz6IFWqMlpD30JgKxQkwMA\nAAAAKbeDHOY95jPHU1ti5RRh3qt3vJ/ymUNb8puDxng/5S8jVg5tiWuPfm8AEMvnFyzQzq1bWy43\nfeZMnbusvFNNAAAAio6aHJTG4nnzdNZRR7dc7qu336YlF10UYYvyhXn0QHPU5LSHvgRAVqjJAQAA\nAICU20EO8x7zmeOpLbFyijDv1TveT/nMoS35zUFjvJ/ylxErh7bE5XaQAwAAAKCcqMlBaVCT0xzz\n6IHmqMlpD30JgKxQkwMAAAAAKbeDHOY95jPHU1ti5RRh3qt3vJ/ymUNb8puDxng/5S8jVg5tiavp\nIMfMDjOzn5vZnWZ2h5mdlT6+v5lda2b3mtlKM5tV9TuLzGytmd1jZif2ugEAAAAAUK1pTY6ZHSjp\nwBDCqJk9R9KIpLmSPibpoRDCV8zss5KeG0JYaGavlPQ9Sf9N0iGSfiLpiBDC0zXrZd4roqMmpznm\n0QPNUZPTHvoSAFnpWU1OCGFzCGE0/flxSXcrGbycLOmSdLFLlAx8JOkUSZeFEJ4KIYxJWifpuKls\nGAAAAABMRds1OWY2IOkYSUOSDgghbEmf2iLpgPTngyVtqPq1DUoGRdEx7zGfOZ7aEiunCPNeveP9\nlM8c2pLfHDTG+yl/GbFyaEtcbQ1y0qlqP5b0lyGEx6qfS8/tNju/y7lfAAAAANHs0WoBM3uWkgHO\nd0IIK9KHt5jZgSGEzWZ2kKQH0sc3Sjqs6tcPTR97hsHBQQ0MDEiSZs2apdmzZ2vOnDmSdo8Ou71f\nkdX66t2fM2dOT9df3YZerT/m/Rh/r0avf8XqtWslSccffnjd+/dt2tT237vIr3/l57GxMRUd/Un/\n309l6U/G7hyRJA286g8a3t+8cf2u5fP096repizXPzo6qvHx8aT9Be9PYvQlXveNPLV/Kvcrj3n4\ne8V4/SuP9eLvsyqjY5NWFx4wJTU3vw0hfKrq8a+kj33ZzBZKmlVz4YHjtPvCAy+rreSjuA/9wIUH\nmqNYGGiOCw+0h74EQFZ6+WWgb5D0YUlvMrNb0ttJkpZKepuZ3Svpzel9hRDukrRc0l2SrpZ0Zr96\njNoRc5FzaEu5c2K1BY3xfspnTl7bMjw0pMEzF7S8zT970ZQzpor+pP/KvG/kNSNWDm2Jq+l0tRDC\n9Wo8EHprg99ZImlJl9sF9M2NQ8NaPG9ey+Wmz5ypt5x8coQtAlAkT4ZpbZ/xAQD0RtPpaj0L5ZQw\n+qDd6WqDF16oi884o+Vy3qa1McUEaK7d6WqXLl2gDy9sPV3N67Q2+hIAWenldDUAAAAAKBS3gxzm\nPeYzx1NbYuUUYd6rd7yf8plT9LZU1+6cdMr726rd6Rb9Sf+xb+QvI1YObYmr5SWkAQBA9ibV7tw5\nsusy1LWo3QGAzlGTg9KgJqc55tEDzWVdk+O1doe+BEBWqMkBAAAAgJTbQQ7zHvOZ46ktsXKKMO/V\nO95P+czx1JaxO0d6niHRn+QB+0b+MmLl0Ja43A5yAAAAAJQTNTkoDWpymmMePdAcNTntoS8BkBVq\ncgAAAAAg5XaQw7zHfOZ4akusnCLMe/WO91M+czy1hZqc8mDfyF9GrBzaEpfbQQ4AAACAcqImB6VB\nTU5zzKMHmqMmpz30JQCyQk0OAAAAAKTcDnKY95jPHE9tiZVThHmv3vF+ymeOp7ZQk1Me7Bv5y4iV\nQ1vicjvIAQAAAFBO1OSgNKjJaY559EBz1OS0h74EQFaoyQEAAACAlNtBDvMe85njqS2xcoow79U7\n3k/5zPHUFmpyyoN9I38ZsXJoS1xuBzkAAAAAyomaHJQGNTnNMY8e3sw/e5HGt21vudysffbS+ed9\nqeVy1OS0h74EQFa66U/2yHpjAADIg/Ft29salIytuizC1gAAYnI7XY15j/nM8dSWWDlFmPfqHe+n\nfOZ4ags1OeXBvpG/jFg5tCUut4McAAAAAOXkdpAzZ84cNzm0pdw5sdqCxng/5TPHU1sGXvUHPc+Q\n6E/ygH0jfxmxcmhLXG4HOQAAAADKye0gh3mP+czx1JZYOUWY9+od76d85nhqCzU55cG+kb+MWDm0\nJS63gxwAAAAA5eR2kMO8x3zmeGpLrJwizHv1jvdTPnM8tYWanPJg38hfRqwc2hKX20EOAAAAgHJy\nO8hh3mM+czy1JVZOEea9esf7KZ85ntpCTU55sG/kLyNWDm2Jy+0gBwAAAEA5uR3kMO8xnzme2hIr\npwjzXr3j/ZTPHE9toSanPNg38pcRK4e2xOV2kAMAAACgnNwOcpj3mM8cT22JlVOEea/e8X7KZ46n\ntlCTUx7sG/nLiJVDW+JyO8gBAAAAUE5uBznMe8xnjqe2xMopwrxX73g/5TPHU1uoySkP9o38ZcTK\noS1xuR3kAAAAACgnt4Mc5j3mM8dTW2LlFGHeq3e8n/KZ46kt1OSUB/tG/jJi5dCWuNwOcgAAAACU\nk9tBDvMe85njqS2xcoow79U73k/5zPHUFmpyyoN9I38ZsXJoS1xuBzkAAAAAysntIId5j/nM8dSW\nWDlFmPfqHe+nfOZ4ags1OeXBvpG/jFg5tCUut4McAAAAAOXkdpDDvMd85nhqS6ycIsx79Y73Uz5z\nPLWFmpzyYN/IX0asHNoS1x793gCU0+cXLNDOrVtbLjd95kydu2xZhC0CAACAF27P5DDvMZ85lYyd\nW7fqrKOObnlrZyDULKfXPL3+aIz3Uz5zPLWFmpzyYN/IX0asHNoSV8tBjpl9y8y2mNntVY+dY2Yb\nzOyW9PaOqucWmdlaM7vHzE7s1YYDAAAAQD3tnMn5V0kn1TwWJC0LIRyT3q6WJDN7paQPSnpl+jsX\nmFlfzhYx7zGfOZ7aEiunCPNeveP9lM8cT22hJqc82DfylxErh7bE1XIAEkL4haRH6jxldR47RdJl\nIYSnQghjktZJOq6rLQQAAACADnRzluWTZnarmX3TzGaljx0saUPVMhskHdJFxpQx7zGfOZ7aEiun\nCPNeveP9lM8cT22hJqc82DfylxErh7bENdWrq/2LpL9Lfz5X0j9I+tMGy4Z6Dw4ODmpgYECSNGvW\nLM2ePXvXqa/KH66b+6Ojo5mur5/3R0dHo+RVxGjffZs2SUcdLUlavXatJOn4ww+vez+r17+iVd7D\n27Zp9dq1DZ+v3K8o6utf+XlsbExFR3/S//dTP/uTZvcrg4fKdLB69zdvXN90e6tf/3bW98Rj47vW\n187y1aayfZ3c78XrPzo6qvHxpM1F70963ZdU6/e+UZS+scJD38j/JXGPTSyEumOQyQuZDUi6KoRw\nVLPnzGyhJIUQlqbPXSPpCyGEoZrfCe3kwq/F8+bprHSQ08xXb79NSy66KGrm4IUX6uIzzmi5XJbb\nlgdmphBCvWmouUZ/gkYGz1yggTmntVxubNVluviC1peqb3d9ly5doA8vbL2+dpdrd/vygr4EQFa6\n6U+mTTHwoKq775FUufLalZJONbM9zezFkg6XNDyVDAAAAACYipaDHDO7TNJqSS83s/Vm9nFJXzaz\n28zsVkknSPqUJIUQ7pK0XNJdkq6WdGa/PhapPc1Z5BzaUu6cWG1BY7yf8pnjqS3U5JQH+0b+MmLl\n0Ja4WtbkhBDqnZv/VpPll0ha0s1GAQAAAMBUTWm6WhFUCpk85NCWcufEagsa4/2UzxxPbeF7csqD\nfSN/GbFyaEtcU726GgAAAABJCxcu1MTERMvlZsyYoaVLl0bYIrg9k8O8x3zmeGpLrJwizHv1jvdT\nPnM8tYX6aQTvAAAgAElEQVSanPJg38hfRhY5ExMTmjt3btPbwMBAWwOhbnl6XbrhdpADAAAAoJzc\nDnKY95jPHE9tiZVThHmv3vF+ymeOp7ZQk1Me7Bv5y4iVM3v27J5nSL5el25QkwMAAADkRDv1PdT2\ntOb2TE5R5nDmJSNWjqe2xMopwrxX73g/5TPHU1uoySkP9o38ZcTKGR0dbWu5dup7mg2CPL0u3XA7\nyAEAAABQTm4HOZ7mcNKWcucUYd6rd7yf8pnjqS3U5JQH+0b+MmLlUJMTFzU5KLzPL1ignVu3tlzu\nljVrpKOOjrBFAAAA6Ce3Z3I8zeGkLc3t3LpVZx119KTbsTOe/YzHwpNPZZ5d1L8ZOsM+mM8cT22h\nJqc82DfylxErp92anG55el264XaQAwAAAKCc3A5yPM3hpC2dO/7ww6PkePqboTH2wXzmeGoLNTnl\nwb6Rv4xYOdTkxOV2kAMAAACgnNwOcjzN4aQtnVu9dm2UHE9/MzTGPpjPHE9toSanPNg38pcRK4ea\nnLjcDnIAAAAAlJPbQY6nOZy0pXPU5CBL7IP5zPHUFmpyyoN9I38ZsXKoyYmL78kBAJTa8NCQBs9c\n0Hq5m27WwJzTImwRAK+GhoY0f/78psuMjIxo7ty5kbbIL7eDnFWrVkUZZcbIKVJbWn0x532bNulF\nBx3U8y/mXL12bZSzOZ5efzRWpH0wDxkxcuafvUj33LtOBx5yWMNl2h2UPBmmNV1u7M4RDbzqD3T9\njWumtK3tqGT0Gv1J/7Gf5y8jVs7o6KjMrOUAZnh4uKscT69LN9wOctAflS/mbGT1jGfr+MMP1+AN\nqyNuFQBvxrdt14Gz39J0YNDLQQkAIN+oySlAjqe2xKqVoSYHWfK0D3pqS6w6lhg51OSUB/t5/jJi\n5VCTE5fbQQ4AAACAcnI7yPF0XXVPbYn1/TV8Tw6y5Gkf9NSWWN8tEyOH78kpD/bz/GXEyuF7cuKi\nJgdta3VRAUk9v6AAAAAA0IrbQY6nOZx5aUuriwpIanlBAWpy8pmB5vKyDxYlI1YONTmdoz/pP/bz\n/GXEypk9e7aWL1/e8xxPr0s33E5XAwAAAFBObgc5nuZwempLp7UyNw4Na/G8eU1vt6x55mViqclB\nljztg57aQk1O5+hP+o/9PH8ZsXKoyYnL7XQ1+LDnjh1dT5EDAABAubg9k+NpDqentlCTk88MNOdp\nH/TUFmpyOkd/0n/s5/nLiJXD9+TE5XaQAwAAAKCc3A5yPM3h9NQWvicnnxloztM+6Kkt1OR0jv6k\n/9jP85cRK4eanLioyQEAAIArCxcu1MTERMvlZsyYoaVLl0bYIsTmdpDjaQ6np7Z4qsm5cWhYkrTy\n0ksbLjN95kydu2xZVzlFmPfqnad90FNbqMnpHP1J/7Gfx8mYmJjQ3LlzWy63YsWKrnI6wffkxOV2\nkAP0WjtXfvvq7bdF2hoAANAL7ZwVGhkZaWtQhXioySlAjqe2eKvJiZFThHmv3nnaBz21hZqcztGf\n9B/7ef4yWuVUzgo1u+3cubNlBjU5cbkd5AAAAAAoJ7eDHOaj5jPHU01OrJwizHv1ztM+6Kkt1OR0\njv6k/9jP85cRK4fvyYmLmhwAAHJseGhIg2cuaLrMrH320vnnfSnSFgFA/rk9k5OHOZxFyoiV46lW\nJlZOEea9eudpH/TUlrLU5DwZpmlgzmlNb+PbtreVQ3/Sf+zn+cuIlUNNTlxuBzkAAAAAysntIMfT\nHE5PbfFUKxMrpwjzXr3ztA96ags1OZ2jP+k/9vP8ZcTKoSYnLreDHAAAAADl5HaQ42kOp6e2eKqV\niZVThHmv3nnaBz21pSw1OVmiP+k/9vP8ZcTKybImZ2hoSPPnz697e9/73rfr54ULF2aWWa0IfQlX\nVwMAAAAKxMw0d+7cus+Njo7umhq3YsWKmJuVK27P5Hiaw+mpLZ5qZWLlFGHeq3ee9kFPbaEmp3P0\nJ/3Hfp6/jFg5sWpyYuQUoS9xO8gBAAAAUE5uBzme5nB6aounWplYOUWY9+qdp33QU1uoyekc/Un/\nsZ/nLyNWTqzvyYmRU4S+pOUgx8y+ZWZbzOz2qsf2N7NrzexeM1tpZrOqnltkZmvN7B4zO7FXGw4A\nAAAA9bRzJudfJZ1U89hCSdeGEI6Q9NP0vszslZI+KOmV6e9cYGZ9OVvkaQ6np7Z4qpWJlVOEea/e\nedoHPbWFmpzO0Z/0H/t5/jJi5VCTE1fLAUgI4ReSHql5+GRJl6Q/XyKpcnmHUyRdFkJ4KoQwJmmd\npOOy2VQAAAAAaG2qZ1kOCCFsSX/eIumA9OeDJW2oWm6DpEOmmNEVT3M4PbXFU61MrJwizHv1ztM+\n6Kkt1OR0jv6k/9jP85cRK4eanLi6/p6cEEIws9BskXoPDg4OamBgQJI0a9YszZ49e9epr8ofrpv7\no6Ojma6vn/crb9Ze51W0er5yYF+ZqjWV+w9v25bZ+h7etk2r166d9PwdGzc8Y/l28+qtr97y7a4v\nr69/5eexsTEVHf1J/99PnfYnWa2/MjioTPeayv0nHhtvur7NY/dmur5695st3876Kvrx+o+Ojmp8\nPNnGovcnve5LqvW7LyhK31jR6e9v2LBh0vfFVN77tfcrWu0bjX6/cv/RRx9tmbdu3bpn5LXavm7y\nqhXl/5LKz1n0JRZCs/FJupDZgKSrQghHpffvkTQnhLDZzA6S9PMQwivMbKEkhRCWpstdI+kLIYSh\nmvWFdnLRnc8vWKCdW7e2XG76zJk6d9mylsstnjdPZx11dNNlBi+8UBefcUbLdWW5XD8y213uq7ff\npiUXXdRyXXlgZgohWL+3o1P0J+U0eOYCDcw5rekyly5doA8vbN23eVhubNVluviC1uuKgb4EeTB/\n/vyGX5ZZbcWKFTr//PO7XtfixYu1ZMmSlnntLJfVMlJ77cuzbvqTqZ7JuVLSRyV9Of13RdXj3zOz\nZUqmqR0uaXiKGejSzq1bWw5KpORAHAAAAPCiZU2OmV0mabWkl5vZejP7mKSlkt5mZvdKenN6XyGE\nuyQtl3SXpKslndmvj0VqT3MWOcdTWzzVysTKifX6ozFP+6CntlCT0zn6k/5jP89fRqwcanLiankm\nJ4TQaD7AWxssv0RS6/NnAAAAANADU726Wu5VCpk85Hhqi6fvr4mVE+v1R2Oe9kFPbeF7cjpHf9J/\n7Of5y4iVw/fkxOV2kAMAAACgnNwOcjzN4fTUFk+1MrFyijDv1TtP+6CntlCT0zn6k/5jP89fRqwc\nanLi6vp7cgAAyMr8sxdpfNv2lssN33SzjnvHERG2CABQRG4HOZ7mcHpqi6damVg5RZj36p2nfTDv\nbRnftr3l999I0vU3rqEmZwroT/qP/Tx/GbFyZs+ereXLl0fJ6bUi9CVup6sBAAAAKCe3gxxPczg9\ntcVTrUysnCLMe/XO0z7oqS3U5HSO/qT/2M/zlxErh5qcuNxOVwMAAIA/Cxcu1MTERNNlRkZGNHfu\n3EhbhDxyO8jxNIfTU1s81crEyinCvFfvPO2DntpCTU7n6E/6j/28+4yJiYmWA5jh4eGuc7JGTU5c\nbqerAQAAACgnt4McT3M4PbXFU61MrJwizHv1ztM+6Kkt1OR0jv6k/9jP85cRK4eanLjcDnIAAAAA\nlJPbQY73+ahFzfFUKxMrpwjzXr3ztA96ags1OZ2jP+k/9vP8ZcTKiVErEyunCH2J20EOAAAAgHJy\nO8jxNIfTU1s81crEyinCvFfvPO2DntpCTU7n6E/6j/08fxmxcqjJicvtJaQBAPkx/+xFGt+2veVy\nwzfdrIE5p0XYIgCAZ24HOZ7mcHpqi6damVg5RZj36p2nfbBfbRnftr2twcv1N65pO4OanM7Rn/Sf\n5/28qBmxcvienLjcTlcDAAAAUE5uBzme5nB6aounWplYOUWY9+qdp33QU1uoyekc/Un/sZ/nLyNW\nDjU5cbmdrgYAAAA0MzQ0pPnz52vDhg1asWJF3WVGRkY0d+7cyFuGbrkd5Hiaw+mpLZ5qZWLlFGHe\nq3ee9kFPbaEmp3P0J/3Hfp6vDDNrOYAZHh7OJIuanLjcTlcDAAAAUE5uBzme5nB6aounWplYOUWY\n9+qdp33QU1uoyekc/Un/sZ/nL0OKU8dCTU5cbgc5AAAAAMqJmpwC5Hhqi6damVg5RZj36p2nfdBT\nW6jJ6Rz9Sf+xn+cvQ4pTx9KPmpzKhRWamTFjhpYuXdpRRhH6EreDHAAAAKDM2rmwQqOryhWd2+lq\nzEfNZ46nWplYOUWY9+qdp33QU1uoyekc/Un/sZ/nL0OiJqdTRehL3A5yAAAAAJST20EO81HzmeOp\nViZWThHmvXrnaR/01BZqcjpHf9J/7Of5y5Di1eTEwPfkJNwOcgAAAACUk9tBDvNR85njqVYmVk4R\n5r1652kf9NQWanI6R3/Sf+zn+cuQqMnpVBH6EreDHAAAAADl5HaQw3zUfOZ4qpWJlVOEea/eedoH\nPbWFmpzO0Z/0H/t5/jIkanI6VYS+hO/JKaDPL1ignVu3tlzuljVrpKOOjrBFaOTGoWEtnjev5XLT\nZ87UucuWRdgiAAAA/9yeyfE8H3Xn1q0666ijW97Ck091ldMLnmpl2snZc8eOtl6rZoPWIsx79c5z\nf1LkHGpyOkd/0n/s5/nLkKjJ6VQR+hK3gxwAAAAA5eR2kMN81HzmeKqViZVThHmv3nnaBz21hZqc\nztGf9B/7ef4yJGpyOlWEvsTtIAcAAABAObkd5DAfNZ85eamVKVJOEea9eudpH/TUFmpyOkd/0n/s\n5/nLkKjJ6VQR+hK3gxwAAAAA5eT2EtLMR21f9WWOV156acPlsrgktadamVg5RZj36l0Z+5P5Zy/S\n+LbtLZebtc9eOv+8L005pxvU5HSO/qT/8rSfFyHHW03O8uXLo+T0WhH6EreDHLSvcpnjVgZvWB1h\nawDkwfi27RqYc1rL5cZWXRZhawAA6Izb6WrMR+1cjPoST7UysXKKMO/VO/qTfOZQk9M5+pP+Yz/P\nX4ZETU6nitCXuB3kAAAAACgnt4Mc5qN2LkZ9iadamVg5RZj36h39ST5zqMnpHP1J/7Gf5y9D4nty\nOlWEvsTtIAcAAABAOXU1yDGzMTO7zcxuMbPh9LH9zexaM7vXzFaa2axsNrUzzEftHDU5+cwpwrxX\n7+hP8plDTU7n6E/6j/08fxkSNTmdKkJf0u2ZnCBpTgjhmBDCceljCyVdG0I4QtJP0/sAAAAAEEUW\nl5C2mvsnSzoh/fkSSavUh4EO81E7R01OPnOKMO/VO/qTfOZQk7Pb8NCQBs9c0HK5WfvsRZ/SZ+zn\n+cuQ+J6cThWhH+l2kBMk/cTMdkr6egjhG5IOCCFsSZ/fIumALjMAAEATT4ZpfK8RgCkZGhrS/Pnz\nmy4zY8YMLV26NNIWZaPb6WpvCCEcI+kdkv7CzN5Y/WQIISgZCEXHfNTOUZOTz5wizHv1jv4knznU\n5HRu88b1UXLQGPt5/jKkctfkmJnmzp3b9DYxMTHpd4pwbNLVmZwQwqb03wfN7ApJx0naYmYHhhA2\nm9lBkh6o97uDg4MaGBiQJM2aNUuzZ8/edeqr8ofr5v7o6Gim6+vn/cqbtXL/vk2btHrGs3dNlaoc\naNfer2j0fOX+w9u2TfqdbtfXzv2Ht23LbH2V7a9+/o6NG7r+e2T1923n/n2bNu1aX6vXP6v3V+Xn\nsbExFR39ydT7k2bvD2n3wXdlOlXt/c0b12vVqlUNf7/T9T3x2LjG7hxp+HztYKDV+tq5/8Rj403X\nt3ns3kzX12l72llfu3kPP/RA3der2/1jfDzZxqL3J73uS6r1uy8oSt9Y0agvq0zNqr3/6KOPanR0\ntOHztQOBdevWNV1fFnmVjKmsv9v2dZu3YcOGSX1HEY5NLDnZMoVfNNtb0vQQwmNmto+klZL+VtJb\nJf02hPBlM1soaVYIYWHN74ap5kJaPG+ezjrq6JbLDV54oS4+44yoy5UlM+tt++rtt2nJRRe1XK6X\nzEwhhNoau9yjP+mNwTMXtD396eILlmW2vkuXLtCHF7ZeXzvLZbmuvC/X7rrafb26QV+CXps/f77m\nzp3bdJnFixdryZIlLdfVznJZLVPkvBUrVuj8889vmZe1bvqTbs7kHCDpCjOrrOe7IYSVZnaTpOVm\n9qeSxiR9oIsMAAAAAOjIlAc5IYRfS3rG5RtCCA8rOZvTV9Wn1IqeE6st1VO0ipzhLSfW64/G6E8a\na3RVr80b1+vAQw7bvdxNN7d1JqcT1dPaeilGTqy2UJPTf0Xcz2PmLFy4cFL9x4YNG3TooYdOWmZk\nZKTlmZxOVU/96pWYNTm9bksRjk2yuIQ0AKCkGl7Vq+ag/fob10TcKgAx1Q5M6rnpppt07LHHtlzX\nyMiIzj333F336x2wDw8PT21DUSpuBzmxRpcxcmK1he/JyWdO3j8pKQP6k84V4btl8pQTqy3VZ9fQ\nH57280rOxMREyzMrw8PDbZ19qR3AxPjOl1g5fE9OXN1eQhoAAAAAcsXtIKf20oNFzonVFr4nJ585\nsV5/NEZ/0jlP3y3jqS3U5PSfp/08Rk5ev1smrxmxcopwbOJ2kAMAAACgnNwOcphD3zlqcvKZU4R5\nr97Rn3TOUx2Lp7ZQk9N/nvbzGDneanJioCYn4XaQAwAAAKCc3A5yijof9fMLFmjxvHmTbh965zsn\n3b9lTW8uxUpNTj5zijDv1bui9if9ypB81bF4ags1Of3naT+nJid/GbFyinBs4vYS0kW1c+tWnXXU\n0ZMeWz3j2ZOmRQ3esDr2ZgEAAACF4fZMjqf5qJ7qSzy1JVZOEea9euepP6EmJ5851OSUh6f9nJqc\n/GXEyinCsYnbQQ4AAACAcnI7yPE0H9VTfYmntsTKKcK8V+889SfU5OQzh5qc8vC0n1OTk7+MWDlF\nODZxO8gBAAAAUE5uBzme5qN6qi/x1JZYOUWY9+qdp/6Empx85lCTUx6e9nNqcvKXESunCMcmbgc5\nAAAAAMrJ7SDH03xUT/UlntoSK6cI816989SfUJOTzxxqcsrD035OTU7+MmLlFOHYxO0gBwAAAEA5\nuR3keJqP6qm+xFNbYuUUYd6rd576E2py8plDTU55eNrPqcnJX0asnCIcm7gd5AAAAAAoJ7eDHE/z\nUT3Vl3hqS6ycIsx79c5Tf0JNTj5zqMkpD0/7OTU5+cuIlVOEYxO3gxwAAAAA5bRHvzegVzzNR/VU\nX+KpLbFyijDv1TtP/Qk1OfnMoSanPGLsg9dcc41WrFjRcrkZM2Zo6dKlU86hJqfzjOXLl0fJ6bUi\nHJu4HeQAAJ5p/tmLNL5te8vlhm+6WQNzTouwRQCyNjExoblz57Zcrp2BEFBUbqereZqP6qm+xFNb\nYuUUYd6rd576k3vuXaeBOae1vD25Y2dXOZ7qWDy1hZqc/ouxn2/YsKHnGRI1OXnMiJVThGMTt4Mc\nAAAAAOXkdrqapzn0nupLPLUly5wbh4a1eN68hs+vvPRSSdL0mTN17rJlmWSifZ76k1g1GZ7qWDy1\nhZqc/ouxnx966KE9z5CoyZlKBjU58bgd5ABFsueOHTrrqKNbLvfV22+LsDUAAADF5na6mqc59J7q\nSzy1JVZOrLagMU/9SayaDE91LJ7aQk1O/1GT0xlPdSye2kJNDgAAAABE5na6mqc59EWrL+l3hrec\nWG1BY576E2py8plDTU55UJPTGWpyppaTtaGhIc2fP3/SY/UuQd7tdy9lye0gBwAAAED3zKxw373k\ndrqapzn01JeUO4eanP7z1J9Qk5PPHGpyyoOanM54qmOhLXG5HeQAAAAAKCe3gxxPc+ipLyl3DjU5\n/eepP6EmJ5851OSUBzU5nfFWkxODp7Z0g5ocAACAEqpXTF4rT4XkQCfcDnJWrVoV5ROGGDmr166N\n8ml+jBxPbYmVE6staMxTf7J543oN9DQhMXbnSM/PTsTIiJUTqy0//8lKDZ65oOVys/bZS+ef96We\nb08ZxdjP263JaaeYvFkheYy2jI6ORjlrECMnZk1OjLbk/WyO20EOAACYbEcwDcw5reVyY6sui7A1\nANA7bgc5eZtD//kFC7Rz69aWy92yZo101NGTHqO+pNw5nMXpv7z1J43MP3uRxrdtb7rM/Zse1Ou6\nSmmPpzoWT2159r6zouSgMWpyOuOtjqWo35PTj4xuuR3k5M3OrVt1Vs3gpZ7BG1ZH2BoAHo1v297y\nU/rrb1wTaWsAeNBO3c7IyEhb36ECxOT26mqevteC73wpdw7fk9N/nvqTJx4b73mG5Ou7ZTy1Jdbr\nj8aK9j05lbqdereBgQHNnTtXO3fuzCyvFt8tk8+cInxPDmdymmhnitn6Rx+NNpUFQDm1Mw1NkoZv\nurmtegsAxbVw4UJNTEw0XeaXv/xlpK0B8svtICeLgUc7U8y+evttXee0Qn1JuXOoyem/ftfktDMN\nTWpvKlqsmgxPdSye2kJNTnybNm3SlVdeqaeffnrXY3ffffczlttjjz300Y9+VHvuuWfT9U1MTLSc\nGjY8PDy1je2Qp9oPanLyl9Ett4McAGjH9u3bdcW/XamndoSWyx52yIGac8IfZpbNGRrAvyeeeEL3\n33+/jjzyyKbLrVmzRiG07ocAtIeanC7dt2lTzzOoLyl3DjU5vbVjxw5d/Z9rdMOGpxrefnjdrVp5\n1wMaue2uTLMrZ2gqN73giEn3K7cnd2Q3352anHzmUJPj21577aWDDjpIBx10kLZs2bLr5+rbtGnZ\nHZI9+uijma2rGU+1H7Qlfxnd4kwOgNKbvsceOnDgiIbPT2x7TPu94EApbI64VQAAYKpcDXJqLxSw\n8tJL6y43feZMnbtsWSaZLzrooEzW0wz1JeXOoSan/wZe9Qd65IGNUXJ6jZqcfOZQk1MeMWoZ9ttv\nv55nSL5qP6jJyV9Gt1wNctr9Lpo/uegiLZ43r+Vy9b6YEwAAAEC+9WSQY2YnSTpf0nRJF4UQvtyL\nnGZWr13b8BPwPXfsyOyLOWPV5MT4ND9Gjqe2xMqJ1RY0NnbnSDJdrU1TvaDA2J0jPf9EP2ZNTq/b\nEiMjVk6stlCT03+jo6M9/xQ8Zk1Or9sSIyNWTsyaHC+vSzcyH+SY2XRJX5P0VkkbJa0xsytDCM+8\nXmIP3bFxQ5QDw6GRm3t+VihWW2LkeGpLrJxYbUFjm8fu1X4vOFArrrxKt999b8vlh2+6WR/4q/Na\nLld7yefNY/f2/EB3++8e7+n6K2K0JUZGrJxYbYn1+qOxdevWNTw4/NznPqcdO3Y0/f2RkZGWl5De\ntm3blLevE83aUqSMWDnr1q3r6fqrc7y8Lt3oxZmc4yStCyGMSZKZfV/SKZKiDnK2PtH8i7Iyk+FZ\noUZitSVGjqe2xMqJ9l5GQxO/e0yS9MQOZfZ9Nc1yeunpp3v3zeTVYrQlRkasnFhtifX6o7HHH288\n0Ny+fbve+973Nv39dr4DZ+fOOK9zs7YUKSNWDm2JqxeDnEMkra+6v0HSa7tZ4TcvuEDbHnyw5XJj\nv/oVNTQAAABAyfVikJP5N1ltue8+7di4UdOs8TXkd+zcqYnf/W7X/fUP/zbrzajriaee7HlGrLbE\nyPHUllg5sdpSZtOe3qH1t/y84fMb77lZhx12qKaZ9XQ7xh/ofY3fU9vjnBmM0ZYYGbFyYrUl1uuP\nyR577DFdf/31kqRbb71118/Vsvwi0ImJOK/z5s29v6x+jIxYObQlLsv623XN7HWSzgkhnJTeXyTp\n6eqLD5gZX+kL5FAIobdH8T1AfwLkD30JgKxMtT/pxSBnD0m/lPQWSb+RNCzptNgXHgAAAABQTplP\nVwsh7DCz/ynpP5RcQvqbDHAAAAAAxJL5mRwAAAAA6KfGlfwZMLMZZjZkZqNmdoeZnZM+vr+ZXWtm\n95rZSjOblVHedDO7xcyu6kWOmY2Z2W1pxnCv2mJms8zsR2Z2t5ndZWavzTLHzF6etqFye9TMzupR\nWz6Vvva3m9n3zGyvHrwuf5mu/w4z+8v0sa4zzOxbZrbFzG6veqzhes1skZmtNbN7zOzELjLeb2Z3\nmtlOM3tNzfIdZzTJOS99j91qZpeb2X7d5vRSzP6k131Juk76k86z6E86z6A/qYP+ZEoZPe1L0owo\n/UmMviTNybw/idGXNMnJtD/peV8SQujpTdLe6b97SLpRyeWkvyLpM+njn5W0NKOsBZK+K+nK9H6m\nOZJ+LWn/mscyb4ukSyR9vOrvtl8P/2bTJG2SdFgP/l6HSPqVpL3S+z+Q9NEscyQdKel2STOUTI+8\nVtJLs8iQ9EZJx0i6vdXrLemVkkYlPUvSgKR1kqZNMeMVko6Q9HNJr6l6fEoZTXLeVvl9SUu7bUuM\nW6z+pNd9Sboe+pPO1k1/MrUM+pPG7aA/6SwjWl+Srq8n/UmMviRdR0/6kxh9SZOcTPuTXvclmbwR\n2/xj7S1pRMmXhd4j6YD08QMl3ZPB+g+V9BNJb5J0VfpYpjlpJ/K8mseyzthP0q/qPJ753yxd14mS\nftGjthwi6X5Jz1XSIV6Vvnkzy5H0PkkXVd3/a0mfySoj3ZGqd76665W0SNJnq5a7RtLrppJR9Xht\nJzLljGY56XPvkXRpFjkxbr3sT2L0Jel66E86Wzf9yRQyqh6nP2ncFvqT1uuP2pek6+tJfxKjL0nX\n0bP+JEZfUi+n6vHM+pNe9iU9na4mSWY2zcxGJW2RtDKEMKzkhdiSLrJF0gEZRP2jpLMlPV31WNY5\nQdJPzOwmM/tEjzJeLOlBM/tXM7vZzL5hZvv0IKfiVEmXpT9nmhFC2CjpH5R0Jr+RNB5CuDbjnDsk\nvTE9Vbu3pD9S8p9Kr/5ejdZ7sJIvvq3YoKQjzVIvMz4u6d8j5HQlUn8Soy+R6E86Qn9Cf5I1+pOO\nxO5LpB71J5H6Eiluf9LPvqSXOV31JT0f5IQQng4hzFbywr7WzI6seT6oyy8QNbN3SXoghHCLpLrX\n0v9L7YcAAAM3SURBVM4iR9IbQgjHSHqHpL8wszf2IGMPSa+RdEEI4TWStkla2IMcmdmekt4t6Ye1\nz2X0ujxX0slKRukHS3qOmX04y5wQwj2SvixppaSrlZzK3JllRpPsVuvNPLMXGWb2OUlPhhC+18uc\nLPS6P4nYl0j0J52un/6k9+hPJj9Pf7JbtL5E6m1/EqMvSdfRl/4kJ31J1zlZ9CU9H+Ts2ooQHlVy\neuvtkraY2YGSZGYHSXqgy9UfL+lkM/u1klH/m83sO1nnhBA2pf8+KOkKJae2s27LBkkbQghr0vs/\nUtKxbM44R0o6w5G0PVL2bXmrpF+HEH4bQtgh6XJJr1fGbQkhfCuEcGwI4QRJj0i6V9m3paLRejcq\nmTdccWj6WJYyzzCzQSWfLn2olzlZ62F/EqUvkehPpoD+JFv0Jyn6k7bE7Euk3vYnUfoSKWp/0s++\nJPOcrPqSXl9d7fmWXuHBzJ6tZM7j3ZKuVFLkpfTfFd3khBAWhxAOCyG8WMnpzZ+FEE7PMsfM9jaz\nfdOf91EyV/T2LDMkKYSwWdJ6Mzsifeitku5UMmc0s5zUadp9KljKuC2S7pP0OjN7tpmZkrbcpYzb\nYma/l/77Qkl/LOl7yr4tFY3We6WkU81sTzN7saTDlXwRbreqP/3LNMPMTlIyjeKUEMJEr3KyEqM/\nidGXSPQnU0R/0j36kxT9SWci9yVSb/uTKH2JFLU/id2XSD3qTzLtS0IXRVWtbpKOknSzpFuV7HB/\nnT6+v5JCvHuVnMablWHmCdp9BZPMcpTMRx1Nb3dIWtSrtkh6taQ16d/tciUFf5nmSNpH0kOS9q16\nrBdtOUfJfxy3K7kyy7N60Jb/VNLZjkp6U1ZtUdLB/kbSk5LWS/pYs/VKWqzkah/3SHr7FDM+Lmlu\n+vMTkjZLurqbjCY5a5V09rektwu6zenlLXZ/0qu+JF0f/cnUcuhPOsugP2ncBvqTznN63pekOT3v\nT2L0JWlO5v1JjL6kQU7m/Umv+xK+DBQAAACAK9FqcgAAAAAgBgY5AAAAAFxhkAMAAADAFQY5AAAA\nAFxhkAMAAADAFQY5AAAAAFxhkAMAAADAFQY5AAAAAFz5/4mZkBUdLbG7AAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x118aa1c88>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "fig, axes = plt.subplots(ncols=3, sharex=True, sharey=True, figsize=(14,5))\n",
    "\n",
    "arrietaPitches.batted_ball_velocity.hist(ax=axes[0], bins=20, label='Arrieta', alpha=.5, color=ja)\n",
    "axes[0].set_title('Arrieta BB Velocity')\n",
    "greinkePitches.batted_ball_velocity.hist(ax=axes[1], bins=20, label='Greinke', alpha=.5, color=zg)\n",
    "axes[1].set_title('Greinke BB Velocity')\n",
    "kershawPitches.batted_ball_velocity.hist(ax=axes[2], bins=20, label='Kershaw', alpha=.5, color='grey')\n",
    "axes[2].set_title('Kershaw BB Velocity');"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAABHkAAAG2CAYAAADr6loeAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz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\nrkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119013358>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "bbtypes = ['GB', 'LD', 'FB', 'PU']\n",
    "pitchers = {'Arrieta': arrietaPitches, 'Greinke': greinkePitches, 'Kershaw': kershawPitches}\n",
    "\n",
    "row_titles = ['{}'.format(row_title) for row_title in pitchers.keys()]\n",
    "col_titles = ['{}'.format(col_title) for col_title in bbtypes]\n",
    "\n",
    "fig, axes = plt.subplots(figsize=(15,6), nrows=len(pitchers), ncols=len(bbtypes), sharex=True, sharey=True)\n",
    "fig.tight_layout(pad=1.2, h_pad=1.5)\n",
    "\n",
    "# label each column with stat name\n",
    "for ax, col_title in zip(axes[0], col_titles):\n",
    "    ax.set_title(col_title, size=15)\n",
    "\n",
    "# label each row with player name\n",
    "for ax, row_title in zip(axes[:,0], row_titles):\n",
    "    ax.set_ylabel(row_title, rotation=0, size=15, labelpad=40)\n",
    "\n",
    "for i, (name, df) in enumerate(pitchers.items()):\n",
    "    for j, bb in enumerate(bbtypes):\n",
    "        title = '{}: {}'.format(name, bb)\n",
    "        vals = df[df.batted_ball_type == bb]['batted_ball_velocity']\n",
    "        vals.hist(ax=axes[i,j], alpha=.5)\n",
    "        axes[i,j].axvline(np.mean(vals), color='r', linestyle='--', linewidth=1)\n",
    "        axes[i,j].tick_params(axis='both', which='major', labelsize=13)\n",
    "        axes[i,j].xaxis.set_major_locator(MaxNLocator(nbins=4))\n",
    "#         axes[i,j].spines['top'].set_visible(False)\n",
    "#         axes[i,j].spines['left'].set_visible(False)\n",
    "#         axes[i,j].spines['right'].set_visible(False)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Is it significant?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAksAAAESCAYAAADt1JGgAAAABHNCSVQICAgIfAhkiAAAAAlwSFlz\nAAALEgAACxIB0t1+/AAAIABJREFUeJzt3XuYVnW99/H3l8HBwEFQUDnJCNHBjZQ95SNW4KGUp/1o\nBmZopOzUraJ5zGuX5sas3QFL3domaWsCabI1y+wgmXjC0pREDj3kAQUU8IQKgyCHmd/zx7qZbsaZ\nNaebOcD7dV33Bev0u7/3jzVzf1jrt9aKlBKSJEmqX5f2LkCSJKkjMyxJkiTlMCxJkiTlMCxJkiTl\nMCxJkiTlMCxJkiTl6NrK7b3vgCRJ6iyiJRt5ZEmSJCmHYUmSJCmHYUmSJCmHYUmSJCmHYUmSJClH\na6+GkyRJOSJadAGWWiml0l2wb1iSJGkHK+UXtxpX6oDqaThJkqQchiVJkqQchiVJkqQcjllSyd16\n+51UbdhcsvYqupfzxRPHlaw9SVJpDR8+nKlTpzJq1Kj2LmWHMCyp5Ko2bGbA8JEla2/l4kdL1pak\nnd/4CRN5q5X/YevVvZxZt0wvTUH1uPyii6het26HtV/WsyffuvrqZm1z+OGHs3DhQl5++WXKy8ub\nte3ixYubtN6yZcsYMmQIW7dupUuXznNyy7AkSdqpvLVhM4PHnNmqNpbPnlaiaupXvW4d5x00Yoe1\nf92ihc1af9myZcydO5fevXtz9913c8IJJ9S7Xk1NzXYhZ+vWrXTt2vwo0dmuDuw8sU6SJO0QM2fO\nZOTIkZx66qnMmDGjdv7EiRM5++yz+cxnPsMee+zBAw88QGVlJVOmTGHEiBFUVFRQXV1NZWUlc+bM\nAbIg9L3vfY/3vve99OnThy984Qu8+eabALWn6Xr16kVFRQV/+ctfWLp0KUceeSR9+vShb9++TJgw\ngbVr17Z9J+TwyJIkqcMoxSm0BQsXMXhMiQraRcycOZOvfvWrHHLIIRx66KG89tpr9O3bF4DbbruN\ne+65h5EjR7Jp0yYiglmzZnHPPffQp08fysrKiIjaextdd9113H333Tz88MP07duXr3zlK5xzzjn8\n/Oc/Z+7cuRxwwAGsXbu29gjV0qVLueyyyxg1ahRr165l3LhxXHHFFVxzzTXt1h91GZYkSR1GKU6h\nzZs/qUTV7BoeeeQRVqxYwYknnshee+3F0KFDufXWW7ngggsAOP744xk5MhuH2q1bNwDOO+88BgwY\nUG9706ZN40c/+hH9+/cHYPLkyQwePJhbbrml3tNvQ4cOZejQoQD06dOHCy+8kCuvvLLkn7M1DEva\nqZRi0GRLBkZKUmc1Y8YMjj76aPbaay8ATjrpJGbMmFEblgYNGvSubeqbt82yZcv43Oc+t93Ypq5d\nu/LKK6/Uu/4rr7zC+eefzyOPPEJVVRU1NTW1tXQUhiXtVEoxaLK5AyMlqbPauHEjt99+OzU1NfTr\n1w+ATZs2sXbtWhYuXNjgY0PyHiey//77c/PNN9cejSq2fPnyd8279NJLKSsrY/HixfTq1Yu77rqL\nr3zlKy38RDuGA7wlSdpF3XXXXXTt2pUlS5awYMECFixYwJIlS/jEJz7BzJkzW9TmWWedxaWXXsqK\nFSsAeO2117j77rsB6Nu3L126dGHp0qW1669fv54ePXrQs2dPVq5cyVVXXdX6D1ZiHlmSJKmNlfXs\nuUOPYpf17Nmk9WbOnMmXv/xlBg4cuN38c889l/POO49Pf/rTzX4o7fnnn09KiaOPPppVq1axzz77\nMH78eI477ji6d+/OZZddxsc//nG2bt3K7NmzmTx5Mqeccgp77rknw4YNY8KECVx77bXNes8dLVp5\nr4POdaMEtYkbpt9W0ptS/urm6znkYx9t0rp33XILRzQw6BBgjzIY96HhuW1ct2gh37nxxmbVKKk0\nxow9udUDvO/87iTGfX1qq9pYPnsas3/581a1sU1EdLr7CnV2OX3evORX4JEldXjvbE1NDl8VA+bR\nr7KyweWrly0qUVWSpF2FY5YkSZJyGJYkSZJyGJYkSZJyGJYkSZJyGJYkSZJyGJYkSZJyGJYkSZJy\nGJYkSVLJfPe73+WMM85o0rpXXHEFX/rSl3ZwRa3nTSklSWpj4ydM5K0Nm3dY+726lzPrlulNXn/W\nrFlcc801/O1vf6NHjx4ccMABnHrqqZx99tnNfu+vf/3rTV63uY9SaS+GJUmS2thbGza3+rEueZbP\nntbkdX/4wx9y1VVXMXXqVI455hh69OjBU089xQ9+8ANOO+00ysvLt1u/pqaGLl1Kc2KqszwGxtNw\nkiTtotauXcvkyZP58Y9/zNixY+nRowcAH/7wh7nlllsoLy9n4sSJnH322XzmM59hjz324MEHH2TV\nqlWMGzeOffbZhyFDhnD99dfXtll8am3ZsmV06dKFmTNnMnjwYPr27ct3vvOdemvZsmULJ510Eiec\ncAJbtmzJfY+2ZliSJGkX9eijj7Jp0yY++9nP5q532223cfnll7N+/XpGjhzJsccey8EHH8yqVauY\nM2cO1157Lffeey9Q/6m1P/3pTzzzzDPMmTOHK6+8kqeffnq75e+88w7HH38873nPe7jjjjsoKyvL\nfY+2ZliSJGkX9frrr9OnT5/tTqsddthh9O7dm+7duzN37lwiguOPP56RI7MHmi9cuJDXX3+db3zj\nG3Tt2pUDDjiA008/nVmzZgH1n1qbPHky3bp1Y8SIEXzoQx9iwYIFQBas1q1bxzHHHMOwYcP46U9/\nSkTwxBNP5L5HW3PMkiRJu6i9996b119/fbtxSH/+858BGDRoEDU1NQAMHDiwdpvly5ezatUqevfu\nXTuvurqaUaNGNfg+++23X+3fu3fvzvr164EsWD322GNs3bp1uyDUkvfYkQxLkiTtokaOHEm3bt24\n6667GDt2bIPrFZ9a23///TnggAN45plnGl23MRHB0UcfzYgRIzjqqKN48MEH2WeffRp9j7bmaThJ\nknZRvXr1YvLkyUyaNIk777yTqqoqampqeOqpp3j77bfr3eaQQw6hoqKCKVOmsHHjRqqrq1m8eDHz\n5s0DmneF27Z1L7nkEk4++WSOOuoo1qxZw8c+9rHc92hrHlmSJKmN9epe3qzL+1vSflNdcsklDBgw\ngClTpnDKKafQo0cPhgwZwpQpUzjssMOYPn36dkeLunTpwm9/+1suvvhihgwZwqZNm/jABz7At7/9\nbSA7WlS8ft6RpuJ1v/GNb7Bp0yY+9alP8cADD+S+R1uLVt7joHPcIEE73OUXXUT1unUAPLlsNRUD\nPtDsNrp0786E00571/zb/vs6TjrjvCa1MfP66zm2srLB5auXLeLUjwzPbeO6RQv5zo03Nun9JJXW\nmLEnt/r+Q3d+dxLjvj61VW0snz2N2b/8eava2CYiOs39hHYWOX3eortgemRJJVG9bh3nHTQCgBlb\nutAvJ7A05Af33svMeu6j8beFj7PlnabdX+P5Z5+FFry3JEkNMSypw+haXV3vUaGtK57OPVpU7Nol\nS0pblCRpl+cAb0mSpByGJUmSpByGJUmSpByGJUmSpByGJUmSpByGJUmSpByGJUmStMN06dKF559/\nvr3LaBXvsyRJUhu79fY7qdqweYe1X9G9nC+eOK7R9SorK7nppps46qijAJg1axaTJk3i17/+NZ/8\n5Cd3WH2djWFJkqQ2VrVhMwOGj9xh7a9c/GiT1it+NtuMGTO4+OKL+f3vf8+hhx7a5Peqrq6mrKys\nRXV2Fp6GkyRpF5ZSYtq0aXz1q1/l3nvv5dBDD2Xt2rWcdtpp9O/fn4EDB3L55ZdTU1MDwPTp0/n4\nxz/ORRddRJ8+ffjmN7/Jc889x+jRo+nVqxd9+/Zl/Pjx273HH//4R973vvfRu3dvzj333Nr5S5cu\n5cgjj6RPnz707duXCRMmsHbtWgBuvvlmjjvuuNp1hw0bxoknnlg7PWjQIBYuXLgju6aWYUmSpF3Y\n1KlTmTx5Mvfffz8f+chHAJg4cSLl5eUsXbqU+fPnc++993Jj0QPGH3/8cYYOHcqrr77KpZdeyuWX\nX86YMWN46623WLlyJeedt/3Dz3/3u98xb948Fi5cyO23384f/vCH2mWXXXYZq1evZsmSJbz44otc\nccUVAIwePZq5c+cCsGrVKrZs2cJjjz0GwPPPP8/bb7/NiBEjdmTX1DIsSZK0i0opcd999zFy5EiG\nDx8OwCuvvMI999zDNddcw3ve8x769u3LBRdcwKxZs2q369+/P+eccw5dunRh9913p7y8nGXLlrFy\n5UrKy8s57LDDtnufr33ta/Ts2ZNBgwZxxBFH8NRTTwEwdOhQjjrqKHbbbTf69OnDhRdeyEMPPQTA\nkCFDqKioYP78+Tz88MMcc8wx9O/fn6effpqHHnqIUaNGtVEvGZYkSdplRQQ33HADTz/9NKeffjoA\ny5cvZ8uWLfTr14/evXvTu3dvzjrrLF577bXa7QYNGrRdO1OmTCGlxCGHHMLw4cO5+eabt1u+3377\n1f69e/furF+/HsiC2fjx4xk4cCB77rknX/rSl1izZk3tuqNHj+bBBx9k7ty5jB49mtGjR/PQQw/x\n8MMPM3r06JL3R0MMS5Ik7cL23Xdf5syZw9y5c5k0aRKDBg2iW7durFmzhjfffJM333yTtWvXsmjR\notpttg0KL27jJz/5CStXrmTatGlMmjQp93YB27a/9NJLKSsrY/Hixaxdu5af/exntWOjIAtLDzzw\nAHPnzuXwww+vDU8PPfSQYUmSJLWdfv36MWfOHGbPns1VV13F0UcfzUUXXURVVRU1NTUsXbqUhx9+\nuMHt77jjDl566SUAevXqRUTQpUv9ESOlVPv39evX06NHD3r27MnKlSu56qqrtlt3W1h655136N+/\nP5/4xCeYPXs2b7zxBgcffHAJPnnTeOsASZLaWEX38iZf3t/S9ptr0KBB3H///YwaNYrPf/7zbNy4\nkQMPPJCqqiqGDBnC1772NWD72w1sM2/ePC688ELWrl3Lvvvuy3XXXUdlZWXt+sWKpydPnswpp5zC\nnnvuybBhw5gwYQLXXntt7fJhw4ZRUVFRe8+nnj17MnToUPbZZ593tbsjGZYkSWpjTblhZFt44YUX\ntpuurKxkxYoVtdNTp0591zannnoqp5566nbzvv/97/P973+/3veorq7ebrp4PNOBBx7IvHnztlt+\n0UUXbTe9atWq7aafeOKJet9nR/I0nCRJUg7DkiRJUg7DkiRJUg7DkiRJUg7DkiRJUg7DkiRJUg5v\nHSBJ0g7WlvcEUukZlgTArbffSdWGzS3e/sllq5mxJTtQOf+lVfSrPKhUpUlSp1Z8x2p1ToYlAVC1\nYTMDho9s8fYVA+bRr3C31sdWrMpfWZKkTsQxS5IkSTkMS5IkSTkMS5IkSTkMS5IkSTkMS5IkSTkM\nS5IkSTm8dYAkSXUsmP8kY8ae3OLte3UvZ9Yt00tXkNqVYUmSpDq2UMbgMWe2ePvls6eVsBq1N0/D\nSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk\n5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAsSZIk5TAs\nSZIk5TAsSZIk5TAsSZIk5TAsSZIk5eja3gVIknYO4ydM5K0Nm1vVxoKFixg8pkQFSSViWJIklcRb\nGzYzeMyZrWpj3vxJJapGKh1Pw0mSJOUwLEmSJOUwLEmSJOUwLEmSJOUwLEmSJOUwLEmSJOUwLEmS\nJOXwPkvapcxf8WKj6zy5cjU3TL+t0fUqupfzxRPHlaIsSVIHZljSLmUTZfSrPCh3nQoqGDB8ZKNt\nrVz8aKnKkiR1YJ6GkyRJymFYkiRJymFYkiRJymFYkiRJymFYkiRJymFYkiRJyuGtA6Q6nn7mGWZe\nf32j61Wt/DsrHpnzrvllPXvyrauv3hGlSZLagWFJqqNrdTXHVlY2ut5qqjj1oOHvmn/dooU7oCpJ\nUnvxNJwkSVIOw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIO\nw5IkSVIOw5IkSVIOnw0nSVKJLZj/JGPGntyqNnp1L2fWLdNLU5BaxbAkSVKJbaGMwWPObFUby2dP\nK1E1ai3DUid26+13UrVhc6vbufsXv+Cllat5/4h5LW7j+WefhcrKVtciSVJHY1jqxKo2bGbA8JGt\nbqfHA/MY+vYmjm1F2Ll2yZJW1yFJUkfkAG9JkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJ\nkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQc\nhiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJ\nkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQchiVJkqQcXdu7AElS+xs/YSJvbdjcqjYW\nLFzE4DElKkjqQAxLkiTe2rCZwWPObFUb8+ZPKlE1UsdiWJJaaP6KF+ud/+TK1dww/bZmtVXRvZwv\nnjiuFGVJkkrMsCS10CbK6Fd50LvmV1DBgOEjm9XWysWPlqosSVKJOcBbkiQph2FJkiQph6fhpBJ7\n+plnmHn99c3apmrl31nxyJza6bKePfnW1VeXujRJUgsYlqQS61pdzbGVlc3aZjVVnHrQ8Nrp6xYt\nLHFVkqSW8jScJElSDsOSJElSDsOSJElSDsOSJElSDsOSJElSDsOSJElSDsOSJElSDsOSJElSDsOS\nJElSDsOSJElSDsOSJElSDp8NtxO45aabqNmwocXbP//ss+zfrYQFSZK0EzEs7QRqNmxo9oNbi127\nZAl08yCjJEn18RtSkiQph2FJkiQph2FJkiQph2FJkiQph2FJkiQph2FJkiQph7cOaGO33n4nVRs2\nl6Stx/86n88NH1mStiRJUv0MS22sasNmBpQo4Lzz6BMlaUeSJDXM03CSJEk5PLIkSVIHtGD+k4wZ\ne3Kr2ujVvZxZt0wvTUG7MMOSJEkd0BbKGDzmzFa1sXz2tBJVs2vzNJwkSVIOw5IkSVIOw5IkSVIO\nw5IkSVIOw5IkSVIOw5IkSVIOw5IkSVIO77MkdUCP/eVxLj399Fa1UdazJ9+6+uoSVSRJuy7DktQB\nlW/dynkHjWhVG9ctWliiaiRp12ZYkjqA+Ste3G56xTs1zHhycYva2qMMxn1oeCnKkiRhWJI6hE2U\n0a/yoNrp3Ze8tN10c6xetqhUZUmSMCxJUqc3fsJE3tqwuVVtLFi4iMFjSlSQtJMxLElSJ/fWhs2t\nfuDqvPmTSlSNtPPx1gGSJEk5PLLUjlatXs3b69e3ePs1b7zBs88+S01NTQmrkiRJxQxL7ejZRYtZ\n//cl9Nh99xZtX/X8Czz+hz8YlrSdbVfWPblyNTdMv61VbVV0L+eLJ44rRVmS1GkZltpRoobBvXox\noHfvFm3/fM8KdosubCpxXerctl1ZV0EFA4aPbFVbKxc/WqKqJKnzcsySJElSDsOSJElSDk/DSZK0\nk1ow/0nGjD25VW306l7OrFuml6agTsqw1IhNmzaxZcuWkrW3devWkrUlSVKeLZS1+h5cy2dPK1E1\nnZdhqRH/b8nf+fOCp+m6W3mr29q6ZTOvvvYag0tQl9SYp595hpnXX9+qNt5es4yzJp5UoookqXNq\nVVh68MEHOfzww0tUSseUUqJb7/7s239gq9ta/dJyWPUSAIv++lir29uVLVn2LB+sHNbeZXRoXaur\nObayst5lTe2/n6/8e4mr6vxK+XuvpqaGxx5r/e+CdVXrSlBN21j19Hz6v//g9i6j07L/WiciDk8p\nPdjc7QxL7WTRXx+jf+UH27uMTuvvhqVWsf9arpS/96qrq/mPa35M7F3Z4ja2bHqHlatepmWPXW57\nq555yi/7VrD/Wu1w4MHmbuRpOElqRzUE+3/kUy3efv2br5L+8kAJK5JUl2GpCTa8+TKrNq5tdTub\n3tm43XR06cJza9fx0saNDWyRb+W6Koa0uipJ7Wm3SKx64vct3n7r5k1ERAkrklRXpJRavnFEyzeW\nJElqYymlZv/volVhSZIkaWfnHbwlSZJyGJYkSZJyGJYkSZJyNBqWImK/iPifiHg1It6IiDkRMaKw\n7PMRsagw/42ImBsRo3Z82Z1HXv/VWe/7EVETEV9sjzo7qkb2v4mFPqsqet3a3jV3FI3texExNCJ+\nFRFvFV6PRoRXyBY0su/dUGe/qyrsixe0d90dRSP9V1b4nbciItZFxMKIGNfeNXcUTei7yyPi+cJ+\n93BEdJbbbLWJiNg7ImZExOrC77ZbI6JX0fJTImJpRLwdEY9FxEcaa7MpR5amAr2AYcC+wDzgt4Vl\njwKfSintlVLaC7gO+H1E9Gzuh9uJ5fUfABFxCDAGWAU44n57jfXfcymliqKXYfMfGuy7iOgLzAXm\nA4OA3sA5QHW7VNoxNdh/KaWzivc74HPAVmBWexXbAeX97J4DTACOSin1BC4Hfh4R72+PQjugvL67\nCPgicCSwF9nP8R8iYo92qLOjmgl0B94LHADsDfwMICI+Qda/Z5L18Z1kuaUir8GmhKWhwC9SSmtT\nSluAnwIDI2KvlNJLKaVXCgWUATWFAge14MPtrBrsP4CI6AbcCPwrULon9u48cvsP8AYzDWuo7/Ym\n+4W7LKV0ZUqpKmWeTF4eW6yxfa/YWcDdKaWX27TCji1v/xsKPJRSehYgpfRrYA3wT+1WbceS13ef\nB/4rpbSssGwyWRj4XPuV23FERA+ygw9XppTeTim9CXwH+OeIGAScAdyZUrovpbQlpXQV8A6N9F9T\nwtJVwLiI6BMRu5N9qc9NKb1RKGz/iHgT2ATcAdyWUvpbCz/nzii3/4ArgDkppb+0V4EdXGP9N6hw\nqHVFRNwWEZXtVWgH1FDfrQGOAF6KiN9GxJqIWBARJ7drtR1PY/sekJ0yAY4DbmiHGjuyvP3vv4F/\niogPFk4rnQCUAQ+3Y70dSV7fwfbf3VF4faiNa+yotvVHcR+VFf78MDAC+GudbZ6ikf5rSlj6c+GN\nXgWqgOPJ/uEASCmtSCn1BiqAfwEeakKbu5IG+y8iPgqcAFzWbtV1fHn730PA8JRSP+BjZP87+GNE\ndG+PQjug+vrujMKyPsBYsv+x9gUuBm6KiI+3Q50dVe7vviKnActTSve1YW2dQV7/vQA8Aiwm+7md\nDpyZUnq97cvskPL67rfAORHx3kKQ+nZhXYe/ACml9WTPfrsiIvYsDDm4tLC4J1lWqftIjrdopP9y\nw1JEdAHuA54pNPQessNZcyNinzoFbkwpzQDOj4ijm/KhdnZN6L+bgXNSShuKN2vzQjuoxvovpfRC\nSuk5gMLp4DOAfsD/bqeSO4ycvnuksO9VAX9OKf0ypVRT+KKfTXaEZJfX1N99hfXOAH7SHnV2VE3o\nv6lk/5OvTCntBnwamBYRn26nkjuMJvTd94BfAfcCy8mGvywBDJr/MIHsbNcS4DHgrsL818l+9/Wq\ns35v3h2gttPYkaW9gErgP1NK61NKW1NKNxW2O7SBbbqSDapSfv+dBBwI3BoRr0XEa2RjvX4cET9r\nt4o7lpbsf2DghPy+G0k2sLuuIPvFq6bve2OA/ciO0OkfGtv/PgLMTCm9CJBSepRsoPJn2qnejiR3\n30spbU4p/VtKaUhKaV/gh8AQsqMpAlJKq1JK41NK/VNKQ4FlwEay4LSAbP8DICICOLgwv0G5Yalw\nSPQZ4NyI6B4RXSPiy8AewMLC5XdDI6JLRFRExL+TfeHf3/KPufNopP/uJuurDxVeHya7Gu7rwHnt\nVHKH0oT9758jYmBk9iL73+prZD8Qu7RG+m4BMA04NCI+W/j5PYLsf/d3NdzqrqOxfa9o1TPJBouu\nqa+dXVUT9r8/ARMioj9ARPxv4HCyq752aU34vbfvtrGZhQHL08mOEt/bTiV3OBHxvojYq/C77WPA\nNcD3UkprycbLjY2IIwsXWF0C7EZ2tK5hKaXcF/ABsnOkr5Gd13sCOLaw7FtkiW092bnVPwJHNNbm\nrvTK67961n0BOLm9a+5Ir0b2vynAysL+twq4HXhve9fcUV6N7Xtk4+X+Xui/hcC49q65I72a0H8D\nyK5g/WR719oRX4387FYAPwZeAtYBzwJfa++aO8qrkb77X2Rh6m3gZbJb9nRv75o70gs4vfCd8Hah\nr75SZ/mXgKXABrL/XB/cWJs+SFeSJCmHjzuRJEnKYViSJEnKYViSJEnKYViSJEnKYViSJEnKYViS\nJEnKYViSJEnKYViSWiAiXoiImogY2s51VBbq2PbaGhHLI+InEdGnBe2dGBGn1jP/XyPis6WpGiJi\neKHeUTnrlPqzTY+IJ4qmJxbarffByxFxcURsKTyIs77lJxS2/1gT378mIs5pbt2NtHl4od0DC9O7\nRcQVEeET6KUSMixJzRQRI4HBQCJ7xl9HcDHZM8s+CVxJ9kDcW1vQzonAxHrm/ytQsrDUTKX6bJD9\nmzXVLLLfkZ9vYPl4YGlK6YkGlrf2/Zvir2R983xhuhvw72SPUJJUIl3buwCpEzqJ7Db6iwt//3b7\nlgPA0ymlxwt/fzQiyoEfRUT3lNKGEr1Hez2guJSfrcmfIaW0MiLmkoWiqds1ElFB9tDXHzbz/Usq\npVQFPF7PIh8mLZWQR5akZoiIMrKjL78me9L8ByNiRGFZj4h4OyIm1bPdExHxs6LpwyNiYURsjIjH\nI+KQiHg9IiaXqNT1ZF+YZUXveUpEPBIRayLijYi4PyL+V9Hy6cBYYHTRqa/JEfEA2VO6Ty2af0rR\ndqdHxN8i4p2IWBYRl9Tz+SdFxIsRsT4i7gb6teVna4XbgI9HxIA68z8L7F5YTuGhnT+JiJcL/6Z/\niohDGms8Is6NiGcLffdsRFxQzzojIuI3EfFmRFRFxF8i4lOFZdudhiN7zhrAzYX51RExuLCP3VxP\n29Mj4sl+AKaJAAAHFUlEQVSmd4e0azIsSc1zBLAP2SmaX5A9SPUkgJTS28BvyMJUrYgYQvbwy21f\nrAOA35M9BHMcMA24hezLt6Wnacoiezp5t8J4lUuA+wtHHrapBH5GdlrpJOBFYG5EHFBYfiXwAPAk\n2amdQ8me0D2J7IG7vyua//vCZ7mE7KjLL4F/Jns46reKx+YUxjr9CLgb+BywiCxotuVna6lfANXA\nF+rMHw8sSin9v8ieXH4fcCTwVeB4sgeg3hcR+zbUcEScQfYQ1LuA/wvcAfwwIv6taJ0PAH8C9gXO\nLLT9K2BgA80eWfjzW2T/TiOB1cCNwAkR0aOo7T3I9r+b8rtAUrs/HdiXr870IvtiWQN0LUz/Bnih\naPnxwFagX9G8rwOvA2WF6auAV4FuRet8HqgB/r2Z9VQWtqv7WgT0z9muC9lp+CXA5UXzf0EWROqu\n/wTw0zrzepId5bm8zvxvkn1Bb3tQ9+PA7+qs85NCnaPa8LNNB54omp5YaC/3ie1kIfHxounewCbg\na4Xp0wrTQ4vWKQOeA6YUzasBJhXVuBK4qc57/RfZU+bLC9O3ASuK95U66x9eaPfAwvQehelTGvi3\nmlg078vAO0Dv9v658uWro788siQ1UWGszFjgVymlrYXZs4DBhUHfALPJvpSKBwV/obBNdWH6Y8Af\nU0qbitb5TSvLuwD4aKHtzwFVwD11jiR8MCJ+FREvkwW6zcD7gWEtfM+RQHfgF4UjP10joivZ0al9\ngYGF6YPJTlsW+1Uz3qc9Plux24CPFh2lGgvsRvZvD/ApsoHWy4r6IICHC3XXZyDZqcg76sy/nSzY\nHFSYPhL4nzr7SrOllNaRBeGJRbMnAr9OKb3ZmralXYEDvKWm+z/AnmRf1L0K8x4iO6pwEvBoSumd\niPg1WUC6LiLeD4wgu6Jrm32Bp4obLmy3vhW1PZdS2jb25K8R8Sey03wTgf8qDEi+l+yIz4XA8kLd\nN5Kd/muJbZfv/62eZQkYRHaasozsSFqxutN52uOzFfs12RGY8cB3C38+llJaVljeh+yU15b6am+g\nzW1jtl6pM3/b9F5Ff65ufsn1ugl4MCIqyf5NPkG2T0tqhGFJarpttwmoezQA4PMRcUFKqQb4H+A3\nETGILDS9CtxftO7LZOOeakXE7mSnUEoipfR6RLwOfKAwayQwADgqpfRM0fv2qm/7Jnqj8Oc/8+4v\nfYBnyEJGNXU+bz3TTdZGn634/aoi4rfA+Ii4kWzc2oVFq6wB5gFn1bN5Q0eEtgWguv2wbYzTtr5d\nA/RvdtH1SCnNjYhngX/hH6cB7y1F29LOzrAkNUHhlM+xwM/JxtsU+whwNdkpk/uAP5KNOzmx8PpF\nSql44PYTwL9ExO4ppXcK844rcb37kh3xeLEw6z2FPzcXrXMY2f2iiu8TtLloXRqZ/yiwERiQUron\np5b5ZGO5ivttbOOfosH2WvrZWuM24E5g29WKtxctmwMcDbyYUnqtie29BKwi2z/+UDT/RGAt2bis\nbW2fGBGXNfFU3LY+aOiI2k+Bc8iO/M2ss19KaoBhSWqaz5J9Kf9nqnMTwoj4M3AZ2ZGn+1JKWyLi\nl2Sn3vYDzq7T1rVkX1i/iYhrC+v8G7CBbHDutnb/nWyA8m5NqO8DEfEG2ViZAWRXjK2jcAUeWbBZ\nD/x3RFxFNmZmMtnRheJ78iwBjitcwbYSWJlSWk12NdwxEXE02VGP51NKb0TEFcB/RsRgYC7ZEYv3\nAYenlLYFou8Av4yIqWRXfo0GjmnCZyr1Z2uN3xfe82yyAfDFR9Jmkh1VejAifgC8AOwNHAKsTild\nW7exlFJNoe+mRcQaspA9utDO11NK20LPN8kC38MR8UOyvj8YeD2l9K5bAaSUNkfEC8AXIuJvZEe2\nFqSUtp0inAH8B9m/07u2l9SA9h5h7stXZ3iRXfb+95zl/0X2RbZbYfoosuDzYgPrHw4sIDtN9STZ\n+JGNwHlF60wGqhupq5J3Xy22ulDviDrrHkN2xGID2ZipMWSDsW8vWmdvstsArKHo6jzgAP5xxKya\noqutgC+SnYbaUOiDR4EL6rz3OWRHgt4Gfgt8utBOc6+Ga81nu5ntr2qbWKgh92q4OttXA1+uZ1lP\nshC8giygvEg2oHpk0Tq1V8MVzTsXeLawzXPA+fW0fRDZFXnrCq9HgSOK9qNqClfDFeZ9urBvbSws\n279Oe48AD7f3z5QvX53pte3SXkntKCI+QXb11BEppYfaux7tnCJiL7JTgOekeo5MSaqfYUlqBxHx\nfWA+2WDv9wOXA6+llA5u18K0UyrcgPKfgPPJxtZVpn+Ml5PUCMcsSe2jHJhCdvVTFdkg34vatSLt\nzD5KdkXmMrJTqAYlqRk8siRJkpTDO3hLkiTlMCxJkiTlMCxJkiTlMCxJkiTlMCxJkiTlMCxJkiTl\n+P+lZi/hwu4KzAAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x119b70b38>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "np.random.seed(49)\n",
    "\n",
    "arrietaBBs = arrietaPitches[arrietaPitches.batted_ball_velocity > 0].batted_ball_velocity\n",
    "greinkeBBs = greinkePitches[greinkePitches.batted_ball_velocity > 0].batted_ball_velocity\n",
    "kershawBBs = kershawPitches[kershawPitches.batted_ball_velocity > 0].batted_ball_velocity\n",
    "arrietaSamples = []\n",
    "greinkeSamples = []\n",
    "kershawSamples = []\n",
    "\n",
    "for i in range(1000):\n",
    "    arrietaSamples.append(np.random.choice(arrietaBBs, size=len(arrietaBBs), replace=True))\n",
    "    greinkeSamples.append(np.random.choice(greinkeBBs, size=len(greinkeBBs), replace=True))\n",
    "    kershawSamples.append(np.random.choice(kershawBBs, size=len(kershawBBs), replace=True))\n",
    "\n",
    "arrietaMeans = [np.mean(obs) for obs in arrietaSamples]\n",
    "greinkeMeans = [np.mean(obs) for obs in greinkeSamples]\n",
    "kershawMeans = [np.mean(obs) for obs in kershawSamples]\n",
    "\n",
    "fig, ax = plt.subplots(figsize=(10, 4))\n",
    "plt.hist(arrietaMeans, alpha=.5, label='Arrieta', color=ja)\n",
    "plt.hist(greinkeMeans, alpha=.6, label='Greinke', color=zg)\n",
    "plt.hist(kershawMeans, alpha=.3, label='Kershaw', color=kc)\n",
    "plt.legend(loc='best')\n",
    "plt.xlabel('Avg. Batted Ball Velocity', fontsize=15)\n",
    "ax.spines['right'].set_visible(False)\n",
    "ax.spines['left'].set_visible(False)\n",
    "ax.spines['top'].set_visible(False)\n",
    "ax.xaxis.set_ticks_position('bottom')\n",
    "plt.tick_params(axis='both', which='major', labelsize=13)\n",
    "ax.get_yaxis().set_ticks([])\n",
    "plt.savefig('images/avg-batted-ball-velocity.png', bbox_inches='tight', dpi=120);"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "3.351081092880861"
      ]
     },
     "execution_count": 27,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "np.mean(greinkeMeans) - np.mean(arrietaMeans)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Statistically, we can say that Greinke gets hit harder than both Arrieta and Kershaw, though we cannot say there's a difference between Arrieta and Kershaw."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>name</th>\n",
       "      <th>player_id</th>\n",
       "      <th>pitch_type</th>\n",
       "      <th>pitch_result</th>\n",
       "      <th>atbat_result</th>\n",
       "      <th>start_speed</th>\n",
       "      <th>z0</th>\n",
       "      <th>x0</th>\n",
       "      <th>pfx_x</th>\n",
       "      <th>pfx_z</th>\n",
       "      <th>px</th>\n",
       "      <th>pz</th>\n",
       "      <th>break_angle</th>\n",
       "      <th>break_length</th>\n",
       "      <th>spin_rate</th>\n",
       "      <th>spin_dir</th>\n",
       "      <th>zone</th>\n",
       "      <th>balls</th>\n",
       "      <th>strikes</th>\n",
       "      <th>outs</th>\n",
       "      <th>play</th>\n",
       "      <th>game_date</th>\n",
       "      <th>inning</th>\n",
       "      <th>inning_topbot</th>\n",
       "      <th>tfs</th>\n",
       "      <th>tfs_zulu</th>\n",
       "      <th>catcher</th>\n",
       "      <th>umpire</th>\n",
       "      <th>umpire_name</th>\n",
       "      <th>stolen_base_attempt</th>\n",
       "      <th>stolen_base_success</th>\n",
       "      <th>batted_ball_type</th>\n",
       "      <th>Unnamed: 32</th>\n",
       "      <th>angle</th>\n",
       "      <th>batted_ball_velocity</th>\n",
       "      <th>direction</th>\n",
       "      <th>hc_x</th>\n",
       "      <th>hc_y</th>\n",
       "      <th>pitch_id</th>\n",
       "      <th>distance_feet</th>\n",
       "      <th>is_strike</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>Zack Greinke</td>\n",
       "      <td>425844</td>\n",
       "      <td>SL</td>\n",
       "      <td>Foul</td>\n",
       "      <td>Strikeout</td>\n",
       "      <td>86.5</td>\n",
       "      <td>6.153</td>\n",
       "      <td>-1.213</td>\n",
       "      <td>1.817</td>\n",
       "      <td>1.742</td>\n",
       "      <td>-0.053</td>\n",
       "      <td>1.887</td>\n",
       "      <td>-6.4</td>\n",
       "      <td>7.5</td>\n",
       "      <td>478.065</td>\n",
       "      <td>134.526</td>\n",
       "      <td>8</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>1</td>\n",
       "      <td>Jedd Gyorko strikes out swinging.</td>\n",
       "      <td>2015-10-03</td>\n",
       "      <td>6</td>\n",
       "      <td>top</td>\n",
       "      <td>22632</td>\n",
       "      <td>2015-10-04T02:26:32Z</td>\n",
       "      <td>518735</td>\n",
       "      <td>483561</td>\n",
       "      <td>Lance Barrett</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>274</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>Zack Greinke</td>\n",
       "      <td>425844</td>\n",
       "      <td>FF</td>\n",
       "      <td>Foul</td>\n",
       "      <td>Flyout</td>\n",
       "      <td>93.6</td>\n",
       "      <td>5.954</td>\n",
       "      <td>-1.211</td>\n",
       "      <td>-2.803</td>\n",
       "      <td>9.477</td>\n",
       "      <td>-0.607</td>\n",
       "      <td>2.406</td>\n",
       "      <td>17.5</td>\n",
       "      <td>3.4</td>\n",
       "      <td>2012.489</td>\n",
       "      <td>196.412</td>\n",
       "      <td>4</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>2</td>\n",
       "      <td>Yangervis Solarte flies out to center fielder ...</td>\n",
       "      <td>2015-10-03</td>\n",
       "      <td>1</td>\n",
       "      <td>top</td>\n",
       "      <td>11404</td>\n",
       "      <td>2015-10-04T01:14:04Z</td>\n",
       "      <td>518735</td>\n",
       "      <td>483561</td>\n",
       "      <td>Lance Barrett</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>137.49</td>\n",
       "      <td>73.57</td>\n",
       "      <td>18</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>Zack Greinke</td>\n",
       "      <td>425844</td>\n",
       "      <td>FF</td>\n",
       "      <td>Foul</td>\n",
       "      <td>Strikeout</td>\n",
       "      <td>92.4</td>\n",
       "      <td>6.115</td>\n",
       "      <td>-0.661</td>\n",
       "      <td>-1.426</td>\n",
       "      <td>9.408</td>\n",
       "      <td>0.891</td>\n",
       "      <td>2.485</td>\n",
       "      <td>6.5</td>\n",
       "      <td>3.4</td>\n",
       "      <td>1918.983</td>\n",
       "      <td>188.580</td>\n",
       "      <td>14</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>Melvin Upton Jr.   strikes out swinging.</td>\n",
       "      <td>2015-10-03</td>\n",
       "      <td>4</td>\n",
       "      <td>top</td>\n",
       "      <td>14938</td>\n",
       "      <td>2015-10-04T01:49:38Z</td>\n",
       "      <td>518735</td>\n",
       "      <td>483561</td>\n",
       "      <td>Lance Barrett</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.00</td>\n",
       "      <td>0.00</td>\n",
       "      <td>140</td>\n",
       "      <td>NaN</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                             name  player_id pitch_type pitch_result  \\\n",
       "0  Zack Greinke                       425844         SL         Foul   \n",
       "1  Zack Greinke                       425844         FF         Foul   \n",
       "2  Zack Greinke                       425844         FF         Foul   \n",
       "\n",
       "  atbat_result  start_speed     z0     x0  pfx_x  pfx_z     px     pz  \\\n",
       "0    Strikeout         86.5  6.153 -1.213  1.817  1.742 -0.053  1.887   \n",
       "1       Flyout         93.6  5.954 -1.211 -2.803  9.477 -0.607  2.406   \n",
       "2    Strikeout         92.4  6.115 -0.661 -1.426  9.408  0.891  2.485   \n",
       "\n",
       "   break_angle  break_length  spin_rate  spin_dir  zone  balls  strikes  outs  \\\n",
       "0         -6.4           7.5    478.065   134.526     8      0        0     1   \n",
       "1         17.5           3.4   2012.489   196.412     4      0        0     2   \n",
       "2          6.5           3.4   1918.983   188.580    14      0        0     0   \n",
       "\n",
       "                                                play  game_date  inning  \\\n",
       "0                Jedd Gyorko strikes out swinging.   2015-10-03       6   \n",
       "1  Yangervis Solarte flies out to center fielder ... 2015-10-03       1   \n",
       "2         Melvin Upton Jr.   strikes out swinging.   2015-10-03       4   \n",
       "\n",
       "  inning_topbot    tfs              tfs_zulu  catcher  umpire    umpire_name  \\\n",
       "0           top  22632  2015-10-04T02:26:32Z   518735  483561  Lance Barrett   \n",
       "1           top  11404  2015-10-04T01:14:04Z   518735  483561  Lance Barrett   \n",
       "2           top  14938  2015-10-04T01:49:38Z   518735  483561  Lance Barrett   \n",
       "\n",
       "   stolen_base_attempt  stolen_base_success batted_ball_type  Unnamed: 32  \\\n",
       "0                    0                    0              NaN          NaN   \n",
       "1                    0                    0              NaN          NaN   \n",
       "2                    0                    0              NaN          NaN   \n",
       "\n",
       "   angle  batted_ball_velocity  direction    hc_x   hc_y  pitch_id  \\\n",
       "0    NaN                   NaN        NaN    0.00   0.00       274   \n",
       "1    NaN                   NaN        NaN  137.49  73.57        18   \n",
       "2    NaN                   NaN        NaN    0.00   0.00       140   \n",
       "\n",
       "   distance_feet  is_strike  \n",
       "0            NaN          1  \n",
       "1            NaN          1  \n",
       "2            NaN          1  "
      ]
     },
     "execution_count": 28,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "greinkePitches.head(3)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### What is the relationship between batted ball velocity and batting average against these three?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "# of pitches batted\n",
      "====================\n",
      "Arrieta: 1591\n",
      "Greinke: 1598\n",
      "Kershaw: 1291\n"
     ]
    }
   ],
   "source": [
    "arrietaHit = arrietaPitches[arrietaPitches.batted_ball_velocity.notnull()]\n",
    "greinkeHit = greinkePitches[greinkePitches.batted_ball_velocity.notnull()]\n",
    "kershawHit = kershawPitches[kershawPitches.batted_ball_velocity.notnull()]\n",
    "print('# of pitches batted')\n",
    "print('====================')\n",
    "print('Arrieta: %s' % len(arrietaHit))\n",
    "print('Greinke: %s' % len(greinkeHit))\n",
    "print('Kershaw: %s' % len(kershawHit))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## How difficult is each of their particular pitches to hit?"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Arrieta\n",
      " SI    1225\n",
      "SL     989\n",
      "CU     531\n",
      "FF     524\n",
      "CH     145\n",
      "FA      13\n",
      "IN       6\n",
      "Name: pitch_type, dtype: int64\n",
      "Greinke\n",
      " FF    1398\n",
      "SL     621\n",
      "CH     599\n",
      "FT     321\n",
      "CU     293\n",
      "EP       2\n",
      "IN       2\n",
      "Name: pitch_type, dtype: int64\n",
      "Kershaw\n",
      " FF    1823\n",
      "SL     924\n",
      "CU     616\n",
      "CH      18\n",
      "FA       2\n",
      "IN       1\n",
      "Name: pitch_type, dtype: int64\n"
     ]
    }
   ],
   "source": [
    "print('Arrieta\\n', arrietaPitches.pitch_type.value_counts())\n",
    "print('Greinke\\n', greinkePitches.pitch_type.value_counts())\n",
    "print('Kershaw\\n', kershawPitches.pitch_type.value_counts())"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Historical Cy Young Results"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def era_ranker(df):\n",
    "    df.sort_values('earned_run_avg', inplace=True)\n",
    "    df['ERA_rank'] = np.arange(len(df)) + 1\n",
    "    return df\n",
    "\n",
    "def wins_ranker(df):\n",
    "    df.sort_values('W', ascending=False, inplace=True)\n",
    "    df['wins_rank'] = np.arange(len(df)) + 1\n",
    "    return df"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "cy = pd.read_csv('data/cyyoung/results.csv')\n",
    "cy['share'] = cy.share.str.replace('%', '').apply(int) / 100\n",
    "winners = cy[cy['rank'] == 1]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "cy = cy.groupby(['year', 'league']).apply(era_ranker).sort_values(['year', 'league'], ascending=False)\n",
    "cy = cy.groupby(['year', 'league']).apply(wins_ranker).sort_values(['year', 'league'], ascending=False)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ranks = cy[['rank', 'player', 'W', 'earned_run_avg', 'earned_run_avg_plus', 'SV', 'wins_rank', 'ERA_rank']].reset_index()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ranks.drop(['level_2', 'level_3', 'level_4'], axis=1, inplace=True)\n",
    "ranks.set_index(['year', 'league', 'player'], inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gjreda/.virtualenvs/pitchfx/lib/python3.5/site-packages/ipykernel/kernelbase.py:212: PerformanceWarning: indexing past lexsort depth may impact performance.\n",
      "  handler(stream, idents, msg)\n"
     ]
    }
   ],
   "source": [
    "ranks.loc[ranks['rank'] == 1, 'winner'] = 1\n",
    "ranks.loc[ranks['rank'] != 1, 'winner'] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {
    "collapsed": false
   },
   "outputs": [],
   "source": [
    "ranks.reset_index(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gjreda/.virtualenvs/pitchfx/lib/python3.5/site-packages/pandas/core/index.py:4281: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  return np.sum(name == np.asarray(self.names)) > 1\n"
     ]
    }
   ],
   "source": [
    "g = ranks.groupby(['year', 'league', 'wins_rank', 'ERA_rank'])['winner'].sum().unstack([1, 0]).fillna(0)\n",
    "rankings = g.sum(axis=1).unstack(1).fillna(0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gjreda/.virtualenvs/pitchfx/lib/python3.5/site-packages/pandas/core/index.py:4281: FutureWarning: elementwise comparison failed; returning scalar instead, but in the future will perform elementwise comparison\n",
      "  return np.sum(name == np.asarray(self.names)) > 1\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "wins_rank\n",
       "1     67\n",
       "2     14\n",
       "3      9\n",
       "4      7\n",
       "5      2\n",
       "6      1\n",
       "7      2\n",
       "8      5\n",
       "9      1\n",
       "10     0\n",
       "11     0\n",
       "12     0\n",
       "13     0\n",
       "dtype: float64"
      ]
     },
     "execution_count": 39,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "g.sum(axis=1).unstack(1).fillna(0).sum(axis=1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th>ERA_rank</th>\n",
       "      <th>1</th>\n",
       "      <th>2</th>\n",
       "      <th>3</th>\n",
       "      <th>4</th>\n",
       "      <th>5</th>\n",
       "      <th>6</th>\n",
       "      <th>7</th>\n",
       "      <th>8</th>\n",
       "      <th>9</th>\n",
       "      <th>10</th>\n",
       "      <th>11</th>\n",
       "      <th>12</th>\n",
       "      <th>13</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>wins_rank</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>14</td>\n",
       "      <td>14</td>\n",
       "      <td>10</td>\n",
       "      <td>10</td>\n",
       "      <td>11</td>\n",
       "      <td>3</td>\n",
       "      <td>3</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>5</td>\n",
       "      <td>2</td>\n",
       "      <td>1</td>\n",
       "      <td>3</td>\n",
       "      <td>2</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2</td>\n",
       "      <td>3</td>\n",
       "      <td>3</td>\n",
       "      <td>0</td>\n",
       "      <td>0</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>3</td>\n",
       "      <td>2</td>\n",
       "      <td>1</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>5</th>\n",
       "      <td>1</td>\n",
       "      <td>0</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>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>6</th>\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>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>7</th>\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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>8</th>\n",
       "      <td>1</td>\n",
       "      <td>2</td>\n",
       "      <td>1</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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>9</th>\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>0</td>\n",
       "      <td>0</td>\n",
       "      <td>0</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>10</th>\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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>11</th>\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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>12</th>\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",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>13</th>\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",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "ERA_rank   1   2   3   4   5   6   7   8   9   10  11  12  13\n",
       "wins_rank                                                    \n",
       "1          14  14  10  10  11   3   3   2   0   0   0   0   0\n",
       "2           5   2   1   3   2   1   0   0   0   0   0   0   0\n",
       "3           2   3   3   0   0   1   0   0   0   0   0   0   0\n",
       "4           3   2   1   1   0   0   0   0   0   0   0   0   0\n",
       "5           1   0   1   0   0   0   0   0   0   0   0   0   0\n",
       "6           1   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "7           2   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "8           1   2   1   1   0   0   0   0   0   0   0   0   0\n",
       "9           1   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "10          0   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "11          0   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "12          0   0   0   0   0   0   0   0   0   0   0   0   0\n",
       "13          0   0   0   0   0   0   0   0   0   0   0   0   0"
      ]
     },
     "execution_count": 40,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rankings"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Closest Cy Young Races"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "Index(['league', 'H', 'R', 'points_won', 'votes_first', 'BB', 'SO', 'IBB',\n",
       "       'year', 'HBP', 'whip', 'WP', 'WAR_pitch', 'GS', 'earned_run_avg_plus',\n",
       "       'SHO', 'batters_faced', 'L', 'BK', 'player', 'earned_run_avg', 'IP',\n",
       "       'win_loss_perc', 'SV', 'CG', 'W', 'G', 'ER', 'team_ID', 'rank', 'HR',\n",
       "       'share', 'GF', 'ERA_rank', 'wins_rank'],\n",
       "      dtype='object')"
      ]
     },
     "execution_count": 41,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "cy.columns"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {
    "collapsed": false
   },
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/Users/gjreda/.virtualenvs/pitchfx/lib/python3.5/site-packages/ipykernel/__main__.py:2: FutureWarning: order is deprecated, use sort_values(...)\n",
      "  from ipykernel import kernelapp as app\n"
     ]
    },
    {
     "data": {
      "text/plain": [
       "year\n",
       "1956    0.00\n",
       "1957    0.00\n",
       "1958    0.00\n",
       "1959    0.00\n",
       "1960    0.00\n",
       "1961    0.00\n",
       "1962    0.00\n",
       "1963    0.00\n",
       "1964    0.00\n",
       "1965    0.00\n",
       "1966    0.00\n",
       "2012    0.02\n",
       "2014    0.04\n",
       "1972    0.05\n",
       "1996    0.05\n",
       "1980    0.06\n",
       "1977    0.06\n",
       "1970    0.07\n",
       "1994    0.08\n",
       "1971    0.11\n",
       "1984    0.12\n",
       "2002    0.12\n",
       "1974    0.13\n",
       "1975    0.20\n",
       "1982    0.20\n",
       "1973    0.21\n",
       "1990    0.21\n",
       "2007    0.24\n",
       "1983    0.25\n",
       "1985    0.28\n",
       "2010    0.28\n",
       "1981    0.30\n",
       "2005    0.35\n",
       "1993    0.35\n",
       "2009    0.39\n",
       "1992    0.40\n",
       "1997    0.41\n",
       "2004    0.41\n",
       "1989    0.42\n",
       "2008    0.43\n",
       "1987    0.43\n",
       "2001    0.44\n",
       "1991    0.45\n",
       "1978    0.46\n",
       "1976    0.48\n",
       "2011    0.51\n",
       "2003    0.52\n",
       "2013    0.53\n",
       "1998    0.54\n",
       "1995    0.58\n",
       "1999    0.61\n",
       "2000    0.61\n",
       "1979    0.61\n",
       "1988    0.62\n",
       "2006    0.64\n",
       "1986    0.70\n",
       "1967    0.80\n",
       "1969    0.84\n",
       "1968    1.00\n",
       "dtype: float64"
      ]
     },
     "execution_count": 42,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "diff = cy.groupby(['year', 'rank', 'league'])['share'].sum().unstack([2,1]).fillna(0)\n",
    "(diff['AL'][1] - diff['AL'][2]).order()"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.5.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}