{
 "metadata": {
  "nikola": {
   "category": "",
   "date": "2016-02-15 11:05:11 UTC",
   "description": "",
   "link": "",
   "slug": "epl-13-14th-february-2016",
   "tags": "",
   "title": "EPL 13-14th February 2016",
   "type": "text"
  },
  "signature": "sha256:ad489b2e6a9a5cbc700801e188930573f35c2d883014a37fa5a4cf7dbf29c3f0"
 },
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   "cells": [
    {
     "cell_type": "markdown",
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     "source": [
      "# EPL 13-14th February 2016\n",
      "\n",
      "The usual weekly look at the shot statistics behind the weekend's games in the English Premier League. This saw the league leaders end a difficult fixture spell with their first defeat which ended and undefeated run of 7. That has closed up the top four now separated by 6 points."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "%matplotlib inline\n",
      "import league_analysis\n",
      "from IPython.display import display, HTML\n",
      "epl = league_analysis.epl\n",
      "league_analysis.blog_weekly_header(epl, '13/02/2016', '14/02/2016')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Bournemouth</td><td>Stoke</td></tr>\n",
        "      <tr><td>Goals</td><td>1</td><td>3</td></tr>\n",
        "      <tr><td>Shots</td><td>11</td><td>11</td></tr>\n",
        "      <tr><td>SOT</td><td>2</td><td>6</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Chelsea</td><td>Newcastle</td></tr>\n",
        "      <tr><td>Goals</td><td>5</td><td>1</td></tr>\n",
        "      <tr><td>Shots</td><td>15</td><td>10</td></tr>\n",
        "      <tr><td>SOT</td><td>5</td><td>4</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Crystal Palace</td><td>Watford</td></tr>\n",
        "      <tr><td>Goals</td><td>1</td><td>2</td></tr>\n",
        "      <tr><td>Shots</td><td>14</td><td>10</td></tr>\n",
        "      <tr><td>SOT</td><td>7</td><td>3</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Everton</td><td>West Brom</td></tr>\n",
        "      <tr><td>Goals</td><td>0</td><td>1</td></tr>\n",
        "      <tr><td>Shots</td><td>34</td><td>5</td></tr>\n",
        "      <tr><td>SOT</td><td>6</td><td>1</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Norwich</td><td>West Ham</td></tr>\n",
        "      <tr><td>Goals</td><td>2</td><td>2</td></tr>\n",
        "      <tr><td>Shots</td><td>13</td><td>11</td></tr>\n",
        "      <tr><td>SOT</td><td>3</td><td>6</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Sunderland</td><td>Man United</td></tr>\n",
        "      <tr><td>Goals</td><td>2</td><td>1</td></tr>\n",
        "      <tr><td>Shots</td><td>21</td><td>12</td></tr>\n",
        "      <tr><td>SOT</td><td>5</td><td>6</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Swansea</td><td>Southampton</td></tr>\n",
        "      <tr><td>Goals</td><td>0</td><td>1</td></tr>\n",
        "      <tr><td>Shots</td><td>13</td><td>13</td></tr>\n",
        "      <tr><td>SOT</td><td>2</td><td>5</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Arsenal</td><td>Leicester</td></tr>\n",
        "      <tr><td>Goals</td><td>2</td><td>1</td></tr>\n",
        "      <tr><td>Shots</td><td>24</td><td>7</td></tr>\n",
        "      <tr><td>SOT</td><td>6</td><td>3</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Aston Villa</td><td>Liverpool</td></tr>\n",
        "      <tr><td>Goals</td><td>0</td><td>6</td></tr>\n",
        "      <tr><td>Shots</td><td>6</td><td>11</td></tr>\n",
        "      <tr><td>SOT</td><td>1</td><td>9</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\">\n",
        "    <table>\n",
        "      <tr><th></th><th>Home</th><th>Away</th></tr>\n",
        "      <tr><td>Team</td><td>Man City</td><td>Tottenham</td></tr>\n",
        "      <tr><td>Goals</td><td>1</td><td>2</td></tr>\n",
        "      <tr><td>Shots</td><td>19</td><td>6</td></tr>\n",
        "      <tr><td>SOT</td><td>4</td><td>3</td></tr>\n",
        "      \n",
        "    </table>\n",
        "    </div>"
       ],
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        "<IPython.core.display.HTML at 0x7f04106a7470>"
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       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Points</th></tr><tr><td>1</td> <td>Leicester</td> <td>53</td></tr>\n",
        "<tr><td>2</td> <td>Arsenal</td> <td>51</td></tr>\n",
        "<tr><td>-</td> <td>Tottenham</td> <td>51</td></tr>\n",
        "<tr><td>4</td> <td>Man City</td> <td>47</td></tr>\n",
        "<tr><td>5</td> <td>Man United</td> <td>41</td></tr>\n",
        "<tr><td>6</td> <td>Southampton</td> <td>40</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>40</td></tr>\n",
        "<tr><td>8</td> <td>Liverpool</td> <td>38</td></tr>\n",
        "<tr><td>9</td> <td>Stoke</td> <td>36</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>36</td></tr>\n",
        "<tr><td>11</td> <td>Everton</td> <td>35</td></tr>\n",
        "<tr><td>12</td> <td>Chelsea</td> <td>33</td></tr>\n",
        "<tr><td>13</td> <td>West Brom</td> <td>32</td></tr>\n",
        "<tr><td>-</td> <td>Crystal Palace</td> <td>32</td></tr>\n",
        "<tr><td>15</td> <td>Bournemouth</td> <td>28</td></tr>\n",
        "<tr><td>16</td> <td>Swansea</td> <td>27</td></tr>\n",
        "<tr><td>17</td> <td>Norwich</td> <td>24</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>24</td></tr>\n",
        "<tr><td>19</td> <td>Sunderland</td> <td>23</td></tr>\n",
        "<tr><td>20</td> <td>Aston Villa</td> <td>16</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Team Rating</th></tr><tr><td>1</td> <td>Man City</td> <td>0.23638459957781202</td></tr>\n",
        "<tr><td>2</td> <td>Tottenham</td> <td>0.22851213626249625</td></tr>\n",
        "<tr><td>3</td> <td>Liverpool</td> <td>0.14026653809433803</td></tr>\n",
        "<tr><td>4</td> <td>Arsenal</td> <td>0.13046253321224371</td></tr>\n",
        "<tr><td>5</td> <td>Southampton</td> <td>0.08289344183124904</td></tr>\n",
        "<tr><td>6</td> <td>Man United</td> <td>0.07389941484622846</td></tr>\n",
        "<tr><td>7</td> <td>Everton</td> <td>0.05561406767290818</td></tr>\n",
        "<tr><td>8</td> <td>Leicester</td> <td>0.053593823043520505</td></tr>\n",
        "<tr><td>9</td> <td>Chelsea</td> <td>0.047000649355315796</td></tr>\n",
        "<tr><td>10</td> <td>West Ham</td> <td>0.014125701909591629</td></tr>\n",
        "<tr><td>11</td> <td>Bournemouth</td> <td>-0.0163764109645701</td></tr>\n",
        "<tr><td>12</td> <td>Watford</td> <td>-0.034648448176929206</td></tr>\n",
        "<tr><td>13</td> <td>Swansea</td> <td>-0.06329781165757928</td></tr>\n",
        "<tr><td>14</td> <td>Crystal Palace</td> <td>-0.08169525485347501</td></tr>\n",
        "<tr><td>15</td> <td>Stoke</td> <td>-0.10138310712952954</td></tr>\n",
        "<tr><td>16</td> <td>Norwich</td> <td>-0.1274130554647753</td></tr>\n",
        "<tr><td>17</td> <td>Sunderland</td> <td>-0.16103078785503078</td></tr>\n",
        "<tr><td>18</td> <td>West Brom</td> <td>-0.1621823222826913</td></tr>\n",
        "<tr><td>19</td> <td>Aston Villa</td> <td>-0.17033030708091504</td></tr>\n",
        "<tr><td>20</td> <td>Newcastle</td> <td>-0.18926507726470765</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>PDO</th></tr><tr><td>1</td> <td>Leicester</td> <td>0.11351186853317102</td></tr>\n",
        "<tr><td>2</td> <td>Everton</td> <td>0.09966937594710018</td></tr>\n",
        "<tr><td>3</td> <td>Watford</td> <td>0.07407407407407407</td></tr>\n",
        "<tr><td>4</td> <td>Arsenal</td> <td>0.07371304791029559</td></tr>\n",
        "<tr><td>5</td> <td>Man United</td> <td>0.06666666666666665</td></tr>\n",
        "<tr><td>6</td> <td>West Ham</td> <td>0.06656923639020829</td></tr>\n",
        "<tr><td>7</td> <td>West Brom</td> <td>0.03992740471869327</td></tr>\n",
        "<tr><td>8</td> <td>Stoke</td> <td>0.03553719008264461</td></tr>\n",
        "<tr><td>9</td> <td>Chelsea</td> <td>0.03376217743734666</td></tr>\n",
        "<tr><td>10</td> <td>Sunderland</td> <td>0.026973026973027003</td></tr>\n",
        "<tr><td>11</td> <td>Tottenham</td> <td>0.020060331825037747</td></tr>\n",
        "<tr><td>12</td> <td>Man City</td> <td>0.01018848700967906</td></tr>\n",
        "<tr><td>13</td> <td>Southampton</td> <td>0.009852216748768461</td></tr>\n",
        "<tr><td>14</td> <td>Crystal Palace</td> <td>-0.03857264231096008</td></tr>\n",
        "<tr><td>15</td> <td>Norwich</td> <td>-0.06036745406824151</td></tr>\n",
        "<tr><td>16</td> <td>Swansea</td> <td>-0.0742914979757085</td></tr>\n",
        "<tr><td>17</td> <td>Newcastle</td> <td>-0.0847839135654262</td></tr>\n",
        "<tr><td>18</td> <td>Liverpool</td> <td>-0.11701734957548915</td></tr>\n",
        "<tr><td>19</td> <td>Aston Villa</td> <td>-0.12703614457831325</td></tr>\n",
        "<tr><td>20</td> <td>Bournemouth</td> <td>-0.14126984126984127</td></tr></table></div>"
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        "<IPython.core.display.HTML at 0x7f04106a7470>"
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    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Bournemouth 1-3 Stoke\n",
      "\n",
      "This result surprised me. I think Bournemouth have genuinely been unfortunate for much of the season. This is backed up by the statistic rankings above, Bournemouth are currently 15th in the league just 4 points off the relegation zone. However their team rating is 11th, above Watford, and their PDO, is again back to rock bottom after briefly lending that position to Liverpool. It is certainly still possible that Bournemouth are relegated. My prediction is that there are enough poorer teams below, for Bournemouth to avoid that fate. I somewhat hope so, because either they have been rather unlucky or there is something systemic about they way they play that would be really interesting to observe for a second full season. Also, their matches are generally entertaining.\n",
      "\n",
      "<!-- TEASER_END -->"
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Chelsea 5-1 Newcastle\n",
      "\n",
      "The shot statistics don't quite show the extent of how well Chelsea controlled this game. That often happens with a team that takes an early enough lead that there is no real urgency/onus on them to attack. Three goals in the first 17 minutes. Newcastle have clearly upped their game since Christmas, but they still have a relegation battle on their hands, dropping back into the bottom three with Norwich's point hosting West Ham. Still, Newcastle are no longer in the top three favourites to be relegated."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "league_analysis.display_current_runs(epl)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Winning Run</th></tr><tr><td>1</td> <td>Tottenham</td> <td>5</td></tr>\n",
        "<tr><td>2</td> <td>Southampton</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>Arsenal</td> <td>2</td></tr>\n",
        "<tr><td>4</td> <td>Liverpool</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Stoke</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Chelsea</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>West Brom</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Sunderland</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>1</td></tr>\n",
        "<tr><td>10</td> <td>Swansea</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Aston Villa</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Bournemouth</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Man City</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Leicester</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Crystal Palace</td> <td>0</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Unbeaten Run</th></tr><tr><td>1</td> <td>Chelsea</td> <td>10</td></tr>\n",
        "<tr><td>2</td> <td>Southampton</td> <td>6</td></tr>\n",
        "<tr><td>3</td> <td>Tottenham</td> <td>5</td></tr>\n",
        "<tr><td>4</td> <td>Arsenal</td> <td>3</td></tr>\n",
        "<tr><td>5</td> <td>Liverpool</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>Sunderland</td> <td>2</td></tr>\n",
        "<tr><td>7</td> <td>Stoke</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>West Brom</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>1</td></tr>\n",
        "<tr><td>12</td> <td>Swansea</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Aston Villa</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Bournemouth</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Man City</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Leicester</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Crystal Palace</td> <td>0</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Winless</th></tr><tr><td>1</td> <td>Crystal Palace</td> <td>9</td></tr>\n",
        "<tr><td>2</td> <td>Norwich</td> <td>6</td></tr>\n",
        "<tr><td>3</td> <td>Swansea</td> <td>3</td></tr>\n",
        "<tr><td>4</td> <td>Bournemouth</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>Man City</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>2</td></tr>\n",
        "<tr><td>8</td> <td>Aston Villa</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Leicester</td> <td>1</td></tr>\n",
        "<tr><td>12</td> <td>Liverpool</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Southampton</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Stoke</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Chelsea</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>West Brom</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Sunderland</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Arsenal</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Tottenham</td> <td>0</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Losing</th></tr><tr><td>1</td> <td>Bournemouth</td> <td>2</td></tr>\n",
        "<tr><td>-</td> <td>Man City</td> <td>2</td></tr>\n",
        "<tr><td>3</td> <td>Swansea</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Aston Villa</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Leicester</td> <td>1</td></tr>\n",
        "<tr><td>-</td> <td>Crystal Palace</td> <td>1</td></tr>\n",
        "<tr><td>10</td> <td>Liverpool</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Southampton</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Stoke</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Chelsea</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>West Brom</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Sunderland</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Arsenal</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>0</td></tr>\n",
        "<tr><td>-</td> <td>Tottenham</td> <td>0</td></tr></table></div>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f0410694e10>"
       ]
      }
     ],
     "prompt_number": 2
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "What of Chelsea. That is now 10 games unbeaten, the next nearest is Southampton with 6 (which, given that no one can score against them may well be prolonged). Sort of more like the form of champions, but their team rating is still just 9th. Let's look at those last 10 games:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "stats = league_analysis.last_x_game_stats(epl, 10)\n",
      "league_analysis.header_stat_tables(epl, stats=stats)"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Points</th></tr><tr><td>1</td> <td>Tottenham</td> <td>25</td></tr>\n",
        "<tr><td>2</td> <td>Southampton</td> <td>19</td></tr>\n",
        "<tr><td>3</td> <td>Chelsea</td> <td>18</td></tr>\n",
        "<tr><td>-</td> <td>Arsenal</td> <td>18</td></tr>\n",
        "<tr><td>-</td> <td>Leicester</td> <td>18</td></tr>\n",
        "<tr><td>6</td> <td>West Ham</td> <td>16</td></tr>\n",
        "<tr><td>7</td> <td>Man City</td> <td>15</td></tr>\n",
        "<tr><td>8</td> <td>Liverpool</td> <td>14</td></tr>\n",
        "<tr><td>9</td> <td>Swansea</td> <td>13</td></tr>\n",
        "<tr><td>-</td> <td>Stoke</td> <td>13</td></tr>\n",
        "<tr><td>11</td> <td>Bournemouth</td> <td>12</td></tr>\n",
        "<tr><td>-</td> <td>West Brom</td> <td>12</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>12</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>12</td></tr>\n",
        "<tr><td>15</td> <td>Sunderland</td> <td>11</td></tr>\n",
        "<tr><td>-</td> <td>Watford</td> <td>11</td></tr>\n",
        "<tr><td>17</td> <td>Aston Villa</td> <td>10</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>10</td></tr>\n",
        "<tr><td>19</td> <td>Newcastle</td> <td>8</td></tr>\n",
        "<tr><td>20</td> <td>Crystal Palace</td> <td>6</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Team Rating</th></tr><tr><td>1</td> <td>Tottenham</td> <td>0.313652736498106</td></tr>\n",
        "<tr><td>2</td> <td>Man City</td> <td>0.20624302547677692</td></tr>\n",
        "<tr><td>3</td> <td>Liverpool</td> <td>0.15722416161620223</td></tr>\n",
        "<tr><td>4</td> <td>Chelsea</td> <td>0.14506647241017773</td></tr>\n",
        "<tr><td>5</td> <td>Everton</td> <td>0.12332072391718414</td></tr>\n",
        "<tr><td>6</td> <td>Southampton</td> <td>0.09941758730434075</td></tr>\n",
        "<tr><td>7</td> <td>West Ham</td> <td>0.0401796464502304</td></tr>\n",
        "<tr><td>8</td> <td>Bournemouth</td> <td>0.003996320077531118</td></tr>\n",
        "<tr><td>9</td> <td>Man United</td> <td>0.0034404779727566902</td></tr>\n",
        "<tr><td>10</td> <td>Arsenal</td> <td>-0.011240202407989385</td></tr>\n",
        "<tr><td>11</td> <td>Leicester</td> <td>-0.027840722074597708</td></tr>\n",
        "<tr><td>12</td> <td>Swansea</td> <td>-0.0406268298871712</td></tr>\n",
        "<tr><td>13</td> <td>Stoke</td> <td>-0.044216491759338214</td></tr>\n",
        "<tr><td>14</td> <td>Newcastle</td> <td>-0.1163225921978699</td></tr>\n",
        "<tr><td>15</td> <td>Watford</td> <td>-0.12696665099070786</td></tr>\n",
        "<tr><td>16</td> <td>West Brom</td> <td>-0.13124650204882524</td></tr>\n",
        "<tr><td>17</td> <td>Sunderland</td> <td>-0.13276663797157878</td></tr>\n",
        "<tr><td>18</td> <td>Aston Villa</td> <td>-0.13918324862663312</td></tr>\n",
        "<tr><td>19</td> <td>Norwich</td> <td>-0.17001366569575446</td></tr>\n",
        "<tr><td>20</td> <td>Crystal Palace</td> <td>-0.20577182338039113</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>PDO</th></tr><tr><td>1</td> <td>Chelsea</td> <td>0.17417417417417413</td></tr>\n",
        "<tr><td>2</td> <td>Southampton</td> <td>0.1655580192165558</td></tr>\n",
        "<tr><td>3</td> <td>Watford</td> <td>0.1564102564102564</td></tr>\n",
        "<tr><td>4</td> <td>Leicester</td> <td>0.14912280701754385</td></tr>\n",
        "<tr><td>5</td> <td>Sunderland</td> <td>0.07768361581920907</td></tr>\n",
        "<tr><td>6</td> <td>West Ham</td> <td>0.07608695652173914</td></tr>\n",
        "<tr><td>7</td> <td>Tottenham</td> <td>0.05882352941176472</td></tr>\n",
        "<tr><td>8</td> <td>Arsenal</td> <td>0.03656462585034012</td></tr>\n",
        "<tr><td>9</td> <td>Man City</td> <td>0.02613981762917933</td></tr>\n",
        "<tr><td>10</td> <td>Everton</td> <td>0.018803418803418792</td></tr>\n",
        "<tr><td>11</td> <td>West Brom</td> <td>0.01395730706075532</td></tr>\n",
        "<tr><td>12</td> <td>Swansea</td> <td>0.00347222222222221</td></tr>\n",
        "<tr><td>13</td> <td>Norwich</td> <td>-0.027997565429093152</td></tr>\n",
        "<tr><td>14</td> <td>Man United</td> <td>-0.033333333333333326</td></tr>\n",
        "<tr><td>15</td> <td>Liverpool</td> <td>-0.04728720756595317</td></tr>\n",
        "<tr><td>16</td> <td>Stoke</td> <td>-0.07162162162162161</td></tr>\n",
        "<tr><td>17</td> <td>Bournemouth</td> <td>-0.10744891232696113</td></tr>\n",
        "<tr><td>18</td> <td>Crystal Palace</td> <td>-0.17207792207792208</td></tr>\n",
        "<tr><td>19</td> <td>Newcastle</td> <td>-0.19130434782608696</td></tr>\n",
        "<tr><td>20</td> <td>Aston Villa</td> <td>-0.19260584376863446</td></tr></table></div>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f04106a7320>"
       ]
      }
     ],
     "prompt_number": 3
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Well first of all, Chelsea are third equal in points for the last ten games. Not outstanding given that they are the only team to remain unbeaten for those ten games. Their team rating is 4th, but their PDO is 1st. So what can we conclude? Not much, but perhaps Chelsea are a team that should be on the edge of Champions' league qualification, but had a fairly bad start to the season from which they are not quite good enough to recover sufficiently. Where sufficiently means something like 5th.\n",
      "\n",
      "Newcastle on the other hand are 14th in team rating over the past 10 games, showing a reasonable progression from where they have been all season. This suggests to me their signings in January have made a difference and if they can just stay out of bad luck they can definitely survive the drop. So far, their PDO rating of 19th suggest they haven't quite seen the fruits of their progression just yet."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Crystal Palace 1-2 Watford\n",
      "\n",
      "The big news here is that Palace out-shot their opponents. Still they lost, bringing their winless run up to 9 games and dead last in our last-ten-games table. Think about that, Aston Villa are 4 points better off than Palace in the last ten games. More worringly, although a last ten games PDO of -0.17 is bad, and ranking them 18th in the league, their poor form can be just as well explained by their 20th placed team rating. So, on 32 points the big question here is, could Crystal Palace be relegated? Well, 32 points is a pretty decent target already. It seems unlikely that Aston Villa can catch them, and Norwich have almost as bad recent form. So it will depend on Newcastle, Sunderland and Swansea. It seems likely at least one of those will fail to catch Palace. Still Palace fans will want another win and soon:"
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "league_analysis.compare_fixtures(epl, ['Crystal Palace', 'Norwich', 'Newcastle', 'Sunderland', 'Swansea'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<table><tr><th>Crystal Palace</th> <th>Norwich</th> <th>Newcastle</th> <th>Sunderland</th> <th>Swansea</th></tr><tr><td>West Brom (A)</td> <td>Leicester (A)</td> <td>Man City (H)</td> <td>West Ham (A)</td> <td>Tottenham (A)</td></tr>\n",
        "<tr><td>Sunderland (A)</td> <td>Chelsea (H)</td> <td>Stoke (A)</td> <td>Crystal Palace (H)</td> <td>Arsenal (A)</td></tr>\n",
        "<tr><td>Liverpool (H)</td> <td>Swansea (A)</td> <td>Bournemouth (H)</td> <td>Southampton (A)</td> <td>Norwich (H)</td></tr>\n",
        "<tr><td>Man United (A)</td> <td>Man City (H)</td> <td>Leicester (A)</td> <td>Everton (H)</td> <td>Bournemouth (A)</td></tr>\n",
        "<tr><td>Leicester (H)</td> <td>West Brom (A)</td> <td>Sunderland (H)</td> <td>Newcastle (A)</td> <td>Aston Villa (H)</td></tr>\n",
        "<tr><td>West Ham (A)</td> <td>Newcastle (H)</td> <td>Norwich (A)</td> <td>West Brom (H)</td> <td>Stoke (A)</td></tr>\n",
        "<tr><td>Norwich (H)</td> <td>Crystal Palace (A)</td> <td>Southampton (A)</td> <td>Leicester (H)</td> <td>Chelsea (H)</td></tr>\n",
        "<tr><td>Arsenal (A)</td> <td>Sunderland (H)</td> <td>Swansea (H)</td> <td>Norwich (A)</td> <td>Newcastle (A)</td></tr>\n",
        "<tr><td>Everton (H)</td> <td>Watford (H)</td> <td>Liverpool (A)</td> <td>Arsenal (H)</td> <td>Leicester (A)</td></tr>\n",
        "<tr><td>Newcastle (A)</td> <td>Arsenal (A)</td> <td>Crystal Palace (H)</td> <td>Stoke (A)</td> <td>Liverpool (H)</td></tr>\n",
        "<tr><td>Stoke (H)</td> <td>Man United (H)</td> <td>Aston Villa (A)</td> <td>Chelsea (H)</td> <td>West Ham (A)</td></tr>\n",
        "<tr><td>Southampton (A)</td> <td>Everton (A)</td> <td>Tottenham (H)</td> <td>Watford (A)</td> <td>Man City (H)</td></tr></table>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f2476828>"
       ]
      }
     ],
     "prompt_number": 4
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Games against West Brom (also on 32 points) and Sunderland look good candidates, but they are away from home. After that a tricky run of fixures in Liverpool, Manchester United and Leicester."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Everton 0-1 West Brom\n",
      "\n",
      "Wow. We thought Newcastle were fortunate to beat Bournemouth earlier in the season."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Norwich 2-2 West Ham\n",
      "\n",
      "Norwich really really needed these three points. Really could have had them. That is six without a win now for Norwich with Leicester and Chelsea next up it could easily extend to 8 without a win. West Ham are still ahead of Liverpool and joint with Southampton, though I suspect both will finish (probably even comfortably) above West Ham. Still, West Ham have a positive team rating and are in the top half of the league. That has to go down as (so far) a pretty successful season for West Ham."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Sunderland 2-1 Manchester United\n",
      "\n",
      "Sunderland have out-shot both Manchester United and Manchester City this season. Rare indeed. This was a pretty deserved victory even though Manchester United managed an extra shot on target. Pretty promising for Sunderland in a season that has not seen a lot of promise. Home and away form shows that Sunderland have been equally bad at either, whereas Newcastle have decent home form. Note also the Manchester clubs' away form, both significantly worse than their home form despite this home loss to Sunderland. Leicester and Tottenham both producing away from home."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "display(HTML('<h2>Home Form</h2>'))\n",
      "league_analysis.header_stat_tables(epl, stats=epl.home_team_stats.values())\n",
      "display(HTML('<h2>Away Form</h2>'))\n",
      "league_analysis.header_stat_tables(epl, stats=epl.away_team_stats.values())"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<h2>Home Form</h2>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f2529550>"
       ]
      },
      {
       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Points</th></tr><tr><td>1</td> <td>Man City</td> <td>28</td></tr>\n",
        "<tr><td>2</td> <td>Arsenal</td> <td>27</td></tr>\n",
        "<tr><td>3</td> <td>Leicester</td> <td>25</td></tr>\n",
        "<tr><td>-</td> <td>Tottenham</td> <td>25</td></tr>\n",
        "<tr><td>5</td> <td>Southampton</td> <td>23</td></tr>\n",
        "<tr><td>6</td> <td>Man United</td> <td>22</td></tr>\n",
        "<tr><td>7</td> <td>Chelsea</td> <td>20</td></tr>\n",
        "<tr><td>-</td> <td>West Ham</td> <td>20</td></tr>\n",
        "<tr><td>9</td> <td>Watford</td> <td>18</td></tr>\n",
        "<tr><td>10</td> <td>Swansea</td> <td>17</td></tr>\n",
        "<tr><td>-</td> <td>Liverpool</td> <td>17</td></tr>\n",
        "<tr><td>-</td> <td>Stoke</td> <td>17</td></tr>\n",
        "<tr><td>-</td> <td>Newcastle</td> <td>17</td></tr>\n",
        "<tr><td>14</td> <td>West Brom</td> <td>16</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>16</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>16</td></tr>\n",
        "<tr><td>17</td> <td>Sunderland</td> <td>15</td></tr>\n",
        "<tr><td>18</td> <td>Crystal Palace</td> <td>14</td></tr>\n",
        "<tr><td>19</td> <td>Bournemouth</td> <td>13</td></tr>\n",
        "<tr><td>20</td> <td>Aston Villa</td> <td>10</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Team Rating</th></tr><tr><td>1</td> <td>Tottenham</td> <td>0.2775535982170872</td></tr>\n",
        "<tr><td>2</td> <td>Man City</td> <td>0.2766260512401658</td></tr>\n",
        "<tr><td>3</td> <td>Man United</td> <td>0.26689373666121285</td></tr>\n",
        "<tr><td>4</td> <td>Liverpool</td> <td>0.18236657427150557</td></tr>\n",
        "<tr><td>5</td> <td>Arsenal</td> <td>0.16309089838596033</td></tr>\n",
        "<tr><td>6</td> <td>Southampton</td> <td>0.1390275611485289</td></tr>\n",
        "<tr><td>7</td> <td>West Ham</td> <td>0.10115789283180579</td></tr>\n",
        "<tr><td>8</td> <td>Everton</td> <td>0.10108706004836762</td></tr>\n",
        "<tr><td>9</td> <td>Chelsea</td> <td>0.09739130728381235</td></tr>\n",
        "<tr><td>10</td> <td>Leicester</td> <td>0.08366459063767881</td></tr>\n",
        "<tr><td>11</td> <td>Bournemouth</td> <td>0.045777950862696606</td></tr>\n",
        "<tr><td>12</td> <td>Watford</td> <td>0.045653956960908924</td></tr>\n",
        "<tr><td>13</td> <td>Norwich</td> <td>0.014497625343774101</td></tr>\n",
        "<tr><td>14</td> <td>Stoke</td> <td>0.003922361469851069</td></tr>\n",
        "<tr><td>15</td> <td>Crystal Palace</td> <td>-0.018163964910808947</td></tr>\n",
        "<tr><td>16</td> <td>Newcastle</td> <td>-0.03163223853151367</td></tr>\n",
        "<tr><td>17</td> <td>Swansea</td> <td>-0.03744230524301533</td></tr>\n",
        "<tr><td>18</td> <td>Sunderland</td> <td>-0.058082084108647666</td></tr>\n",
        "<tr><td>19</td> <td>West Brom</td> <td>-0.06890456620671082</td></tr>\n",
        "<tr><td>20</td> <td>Aston Villa</td> <td>-0.08610679703958697</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>PDO</th></tr><tr><td>1</td> <td>Man United</td> <td>0.19642857142857142</td></tr>\n",
        "<tr><td>2</td> <td>Sunderland</td> <td>0.14295485636114913</td></tr>\n",
        "<tr><td>3</td> <td>Leicester</td> <td>0.11351909184726522</td></tr>\n",
        "<tr><td>4</td> <td>Arsenal</td> <td>0.10569456427955132</td></tr>\n",
        "<tr><td>5</td> <td>Man City</td> <td>0.08104395604395609</td></tr>\n",
        "<tr><td>6</td> <td>Chelsea</td> <td>0.05927601809954747</td></tr>\n",
        "<tr><td>7</td> <td>Newcastle</td> <td>0.05205811138014527</td></tr>\n",
        "<tr><td>8</td> <td>Everton</td> <td>0.04802076573653474</td></tr>\n",
        "<tr><td>9</td> <td>Stoke</td> <td>0.04232558139534881</td></tr>\n",
        "<tr><td>10</td> <td>Southampton</td> <td>0.03437499999999999</td></tr>\n",
        "<tr><td>11</td> <td>Tottenham</td> <td>0.030281007751937983</td></tr>\n",
        "<tr><td>12</td> <td>Watford</td> <td>0.02638888888888888</td></tr>\n",
        "<tr><td>13</td> <td>West Ham</td> <td>0.01731601731601734</td></tr>\n",
        "<tr><td>14</td> <td>West Brom</td> <td>0.0012864493996569415</td></tr>\n",
        "<tr><td>15</td> <td>Norwich</td> <td>-0.0008525149190110604</td></tr>\n",
        "<tr><td>16</td> <td>Swansea</td> <td>-0.02380952380952378</td></tr>\n",
        "<tr><td>17</td> <td>Crystal Palace</td> <td>-0.10256410256410253</td></tr>\n",
        "<tr><td>18</td> <td>Aston Villa</td> <td>-0.12458471760797343</td></tr>\n",
        "<tr><td>19</td> <td>Bournemouth</td> <td>-0.17857142857142855</td></tr>\n",
        "<tr><td>20</td> <td>Liverpool</td> <td>-0.23444976076555024</td></tr></table></div>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f1f1d6a0>"
       ]
      },
      {
       "html": [
        "<h2>Away Form</h2>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f2529550>"
       ]
      },
      {
       "html": [
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Points</th></tr><tr><td>1</td> <td>Leicester</td> <td>28</td></tr>\n",
        "<tr><td>2</td> <td>Tottenham</td> <td>26</td></tr>\n",
        "<tr><td>3</td> <td>Arsenal</td> <td>24</td></tr>\n",
        "<tr><td>4</td> <td>Liverpool</td> <td>21</td></tr>\n",
        "<tr><td>5</td> <td>West Ham</td> <td>20</td></tr>\n",
        "<tr><td>6</td> <td>Stoke</td> <td>19</td></tr>\n",
        "<tr><td>-</td> <td>Everton</td> <td>19</td></tr>\n",
        "<tr><td>-</td> <td>Man City</td> <td>19</td></tr>\n",
        "<tr><td>-</td> <td>Man United</td> <td>19</td></tr>\n",
        "<tr><td>10</td> <td>Watford</td> <td>18</td></tr>\n",
        "<tr><td>-</td> <td>Crystal Palace</td> <td>18</td></tr>\n",
        "<tr><td>12</td> <td>Southampton</td> <td>17</td></tr>\n",
        "<tr><td>13</td> <td>West Brom</td> <td>16</td></tr>\n",
        "<tr><td>14</td> <td>Bournemouth</td> <td>15</td></tr>\n",
        "<tr><td>15</td> <td>Chelsea</td> <td>13</td></tr>\n",
        "<tr><td>16</td> <td>Swansea</td> <td>10</td></tr>\n",
        "<tr><td>17</td> <td>Sunderland</td> <td>8</td></tr>\n",
        "<tr><td>-</td> <td>Norwich</td> <td>8</td></tr>\n",
        "<tr><td>19</td> <td>Newcastle</td> <td>7</td></tr>\n",
        "<tr><td>20</td> <td>Aston Villa</td> <td>6</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>Team Rating</th></tr><tr><td>1</td> <td>Man City</td> <td>0.1725730325769805</td></tr>\n",
        "<tr><td>2</td> <td>Tottenham</td> <td>0.17033454803656944</td></tr>\n",
        "<tr><td>3</td> <td>Liverpool</td> <td>0.08981412570356766</td></tr>\n",
        "<tr><td>4</td> <td>Arsenal</td> <td>0.08709107399355219</td></tr>\n",
        "<tr><td>5</td> <td>Leicester</td> <td>0.02743044475163485</td></tr>\n",
        "<tr><td>6</td> <td>Southampton</td> <td>0.015710776410565102</td></tr>\n",
        "<tr><td>7</td> <td>Everton</td> <td>-0.002692833117750884</td></tr>\n",
        "<tr><td>8</td> <td>Chelsea</td> <td>-0.026401124790492274</td></tr>\n",
        "<tr><td>9</td> <td>Man United</td> <td>-0.049251292161275724</td></tr>\n",
        "<tr><td>10</td> <td>West Ham</td> <td>-0.06140146320442257</td></tr>\n",
        "<tr><td>11</td> <td>Bournemouth</td> <td>-0.07341913322556437</td></tr>\n",
        "<tr><td>12</td> <td>Swansea</td> <td>-0.08169711757507404</td></tr>\n",
        "<tr><td>13</td> <td>Watford</td> <td>-0.10386298679909228</td></tr>\n",
        "<tr><td>14</td> <td>Crystal Palace</td> <td>-0.14786820504864134</td></tr>\n",
        "<tr><td>15</td> <td>Stoke</td> <td>-0.18172995712711232</td></tr>\n",
        "<tr><td>16</td> <td>Aston Villa</td> <td>-0.24492998079052658</td></tr>\n",
        "<tr><td>17</td> <td>Sunderland</td> <td>-0.24815645890387505</td></tr>\n",
        "<tr><td>18</td> <td>Norwich</td> <td>-0.25387673415513706</td></tr>\n",
        "<tr><td>19</td> <td>West Brom</td> <td>-0.260371233704567</td></tr>\n",
        "<tr><td>20</td> <td>Newcastle</td> <td>-0.3479487649605296</td></tr></table></div>\n",
        "<div style=\"display:inline-block; margin-right:2em;\"><table><tr><th>Position</th> <th>Team</th> <th>PDO</th></tr><tr><td>1</td> <td>Everton</td> <td>0.16181818181818183</td></tr>\n",
        "<tr><td>2</td> <td>Watford</td> <td>0.14041514041514042</td></tr>\n",
        "<tr><td>3</td> <td>West Ham</td> <td>0.1197827329902802</td></tr>\n",
        "<tr><td>4</td> <td>Leicester</td> <td>0.11207598371777477</td></tr>\n",
        "<tr><td>5</td> <td>West Brom</td> <td>0.05902777777777779</td></tr>\n",
        "<tr><td>6</td> <td>Crystal Palace</td> <td>0.04043126684636117</td></tr>\n",
        "<tr><td>7</td> <td>Stoke</td> <td>0.030266706622715023</td></tr>\n",
        "<tr><td>8</td> <td>Arsenal</td> <td>0.02573529411764708</td></tr>\n",
        "<tr><td>9</td> <td>Tottenham</td> <td>0.010038610038610063</td></tr>\n",
        "<tr><td>10</td> <td>Man United</td> <td>-0.0013668671405139277</td></tr>\n",
        "<tr><td>11</td> <td>Chelsea</td> <td>-0.011111111111111127</td></tr>\n",
        "<tr><td>12</td> <td>Southampton</td> <td>-0.034042553191489355</td></tr>\n",
        "<tr><td>13</td> <td>Liverpool</td> <td>-0.039649986327590925</td></tr>\n",
        "<tr><td>14</td> <td>Sunderland</td> <td>-0.06443798449612403</td></tr>\n",
        "<tr><td>15</td> <td>Man City</td> <td>-0.0976190476190476</td></tr>\n",
        "<tr><td>16</td> <td>Bournemouth</td> <td>-0.0982142857142857</td></tr>\n",
        "<tr><td>17</td> <td>Swansea</td> <td>-0.11245283018867924</td></tr>\n",
        "<tr><td>18</td> <td>Norwich</td> <td>-0.12200956937799046</td></tr>\n",
        "<tr><td>19</td> <td>Aston Villa</td> <td>-0.12681159420289856</td></tr>\n",
        "<tr><td>20</td> <td>Newcastle</td> <td>-0.23593073593073596</td></tr></table></div>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f1f1d6a0>"
       ]
      }
     ],
     "prompt_number": 13
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Swansea 0-1 Southampton\n",
      "\n",
      "Southampton continue to do what they are good at. They are preventing teams from scoring. I'm sure there is a lot more interesting things to say about Southampton but it will have to wait for more in-depth analysis (which means me waiting for [statsbomb](http://statsbomb.com/) to produce one). Southampton will be pleased with an away victory which even with that only moves them up to 12th in the league away form, compared to 5th home form. In any case, Southampton have not been lucky this season so they'll be pretty happy to have ridden through some rough results in the first half to find themselves currently 6th equal with West Ham. It would be surprising if they do not finish above West Ham and surely Manchester United are not entirely safe from Southampton. However, Liverpool and even possibly Chelsea could strike from below.\n",
      "\n",
      "Swansea are not doing an awful lot wrong they just need more points. With Newcastle doing better since Christmas, Swansea look vulnerable."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Arsenal 2-1 Leicester\n",
      "\n",
      "First of all, they may have required an injury time winner, but Arsenal were clearly well on top. It may have been that the relatively soft red card was the reason Arsenal dominated, but that does not change the fact that Arsenal deserved to win this game. It certainly bunches up the top four a bit more. Manchester City starting to look a bit far behind, if they were 6 points behind Leicester but in second place you would possibly favour them or at least give them a good chance of taking the title. Four points on either Tottenham **or** Arsenal would also be far from insurmountable, but it seems likely that one of Tottenham or Arsenal will have a pretty decent finish to the season, meaning that Manchester City would have to have a near flawless end. That is assuming Leicester drop more than six points themselves.\n",
      "\n",
      "On that note, having come through a pretty difficult sequence, Leicester now have a pretty gentle run;  Norwich, West Brom, Watford, Newcastle, and Crystal Palace all look winnable. Even after that, Southampton will be tough but then Leicester face Sunderland, West Ham and Swansea, again, all winnable. A tricky finish to the season might not matter as they could be 9 points up by then.\n",
      "\n",
      "That said, most of the top four have actually played each other and as a result none look to have *very* menacing run-ins. Would it be so impossible for Manchester City to win all 12 remaining matches? Probably yes, but going undefeated and dropping just 4 or 6 points seems possible.\n",
      "\n",
      "For my money, Tottenham look pretty good now. But that London derby with Arsenal in three weeks' time looks like it might be, ..., interesting."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "league_analysis.compare_fixtures(epl, ['Leicester', 'Tottenham', 'Arsenal', 'Man City', 'Man United'])"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "html": [
        "<table><tr><th>Leicester</th> <th>Tottenham</th> <th>Arsenal</th> <th>Man City</th> <th>Man United</th></tr><tr><td>Norwich (H)</td> <td>Swansea (H)</td> <td>Man United (A)</td> <td>Newcastle (A)</td> <td>Arsenal (H)</td></tr>\n",
        "<tr><td>West Brom (H)</td> <td>West Ham (A)</td> <td>Swansea (H)</td> <td>Liverpool (A)</td> <td>Watford (H)</td></tr>\n",
        "<tr><td>Watford (A)</td> <td>Arsenal (H)</td> <td>Tottenham (A)</td> <td>Aston Villa (H)</td> <td>West Brom (A)</td></tr>\n",
        "<tr><td>Newcastle (H)</td> <td>Aston Villa (A)</td> <td>West Brom (H)</td> <td>Norwich (A)</td> <td>Crystal Palace (H)</td></tr>\n",
        "<tr><td>Crystal Palace (A)</td> <td>Bournemouth (H)</td> <td>Everton (A)</td> <td>Man United (H)</td> <td>Man City (A)</td></tr>\n",
        "<tr><td>Southampton (H)</td> <td>Liverpool (A)</td> <td>Watford (H)</td> <td>Bournemouth (A)</td> <td>Everton (H)</td></tr>\n",
        "<tr><td>Sunderland (A)</td> <td>Man United (H)</td> <td>West Ham (A)</td> <td>West Brom (H)</td> <td>Tottenham (A)</td></tr>\n",
        "<tr><td>West Ham (H)</td> <td>Stoke (A)</td> <td>Crystal Palace (H)</td> <td>Chelsea (A)</td> <td>Aston Villa (H)</td></tr>\n",
        "<tr><td>Swansea (H)</td> <td>West Brom (H)</td> <td>Sunderland (A)</td> <td>Stoke (H)</td> <td>West Ham (A)</td></tr>\n",
        "<tr><td>Man United (A)</td> <td>Chelsea (A)</td> <td>Norwich (H)</td> <td>Southampton (A)</td> <td>Leicester (H)</td></tr>\n",
        "<tr><td>Everton (H)</td> <td>Southampton (H)</td> <td>Man City (A)</td> <td>Arsenal (H)</td> <td>Norwich (A)</td></tr>\n",
        "<tr><td>Chelsea (A)</td> <td>Newcastle (A)</td> <td>Aston Villa (H)</td> <td>Swansea (A)</td> <td>Bournemouth (H)</td></tr></table>"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f1d65208>"
       ]
      }
     ],
     "prompt_number": 14
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Aston Villa 0-6 Liverpool\n",
      "\n",
      "Well, this was a bit of a demolition. As is often the case, the 6 goal difference was probably a little down to luck. It's luck that Liverpool have been due. I say that is often the case because once a team has a three goal advantage their shot rate tends to dip considerably. Thus if they *do* end up scoring 6 or so goals it is usually on the back of a high conversation rate for at least the final three goals, and they may well have had a pretty high conversion rate for the first three as well. In other words, you don't tend to score 6 goals against premier league opposition unless most things go your way. There are exceptions. But this was not really one of them. But well deserved good news for Liverpool."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Manchester City 1-2 Tottenham\n",
      "\n",
      "A massive three points for Tottenham. Much will be made of the pretty fortunate penalty award. More importantly Tottenham were comprehensively out-shot in this game, and that is depsite their winner coming in the 83rd minute. I think a lot of narratives will be written suggesting that Manchester City are all but dead in the title race. However, let's not forget, Manchester City are currently top for team rating, albeit by a slim margin over Tottenham (who themselves have a big lead over Liverpool). If Manchester City are to win the title they will need pretty close to all 36 points from their remaining 12 games, but they are clearly one of, if not the, best teams in the league.\n",
      "\n",
      "Tottenham are probably now favourites."
     ]
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "# Bonus Graphs\n",
      "\n",
      "A little bonus graphs plotting team points versus their team rating and PDO for the season. This mostly visualises Leicester's over-performance and Aston Villa's underperformance. Keep in mind, team rating and PDO are not flawless measures of skill and luck. So this is Leicester's overperformance **according** to this team rating metric of skill."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "def get_team_rating(league, team):\n",
      "    return league.team_stats[team].team_rating\n",
      "def get_points(league, team):\n",
      "    return league.team_stats[team].points\n",
      "def get_pdo(league, team):\n",
      "    return league.team_stats[team].pdo\n",
      "\n",
      "league_analysis.scatter_stats(epl, get_x_stat=get_team_rating, get_y_stat=get_points,\n",
      "                              title='Points/Team Rating', ylabel='Points', xlabel='Team Rating')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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TmVPRgQPg52dKJQfwyCNtadmypef3li1bkpGRwQsvvED79u0ZO3Ysq1evrulw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\n",
       "text": [
        "<matplotlib.figure.Figure at 0x7f0410680b00>"
       ]
      },
      {
       "html": [
        "line of best fit:  \n",
        "64.41 x + 35.49"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f2536710>"
       ]
      }
     ],
     "prompt_number": 18
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Here is the PDO graph. Check out Bournemouth and Liverpool. Sunderland are also an interesting case. What this likely means is that Sunderland have had more than an average amount of luck, but they **may** have benefitted from this luck in ways that have not really affected their haul of points. So for example they may have been fortunate to lose a couple of games 1-0 when it should have really been more like 4-0, but they haven't gained any points from this.\n",
      "\n",
      "It is worth noting that the top four are all above the trend line. For me, if Liverpool had a positive PDO, they may well be in the top four positions."
     ]
    },
    {
     "cell_type": "code",
     "collapsed": false,
     "input": [
      "league_analysis.scatter_stats(epl, get_x_stat=get_pdo, get_y_stat=get_points,\n",
      "                              title='Points/PDO', ylabel='Points', xlabel='PDO')"
     ],
     "language": "python",
     "metadata": {},
     "outputs": [
      {
       "metadata": {},
       "output_type": "display_data",
       "png": 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IiLhFyYOIiIiIiLhFyYOIiIiIiLhFyYOIiIiIiLhFyYOIiIiIiLhFyYOIiIiIiLhFyYOI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u+Oyzz1i//nM6d85g5MhEXK66fb/BWsuSJUvIzk6hQ4d6RcbQD0SbNqXy6afHCApqxcMPDwiY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\n99xili7dQ3Z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       "text": [
        "<matplotlib.figure.Figure at 0x7f03f24d02b0>"
       ]
      },
      {
       "html": [
        "line of best fit:  \n",
        "81.32 x + 35.24"
       ],
       "metadata": {},
       "output_type": "display_data",
       "text": [
        "<IPython.core.display.HTML at 0x7f03f20ba668>"
       ]
      }
     ],
     "prompt_number": 20
    },
    {
     "cell_type": "markdown",
     "metadata": {},
     "source": [
      "Thanks for reading."
     ]
    }
   ],
   "metadata": {}
  }
 ]
}