{ "metadata": { "nikola": { "category": "", "date": "2015-08-24 10:41:58 UTC+01:00", "description": "", "link": "", "slug": "epl-22-24-august", "tags": "", "title": "EPL 22-24 August", "type": "text" }, "signature": "sha256:692a6df175daab262af570d66124fcd052abe53869ac7dbbae0fd6ebcdea4b2e" }, "nbformat": 3, "nbformat_minor": 0, "worksheets": [ { "cells": [ { "cell_type": "markdown", "metadata": {}, "source": [ "# EPL 22-24 August 2015/2016\n", "\n", "Weekly round-up of games in the English Premier League." ] }, { "cell_type": "code", "collapsed": false, "input": [ "%matplotlib inline\n", "import league_analysis\n", "from IPython.display import display, HTML\n", "epl = league_analysis.epl" ], "language": "python", "metadata": {}, "outputs": [], "prompt_number": 1 }, { "cell_type": "code", "collapsed": false, "input": [ "league_analysis.display_matches(epl, '22/08/15', '24/08/15')" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamCrystal PalaceAston Villa
Goals21
Shots1611
SOT62
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamLeicesterTottenham
Goals11
Shots1319
SOT26
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamMan UnitedNewcastle
Goals00
Shots207
SOT80
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamNorwichStoke
Goals11
Shots216
SOT71
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamSunderlandSwansea
Goals11
Shots1020
SOT29
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamWest HamBournemouth
Goals34
Shots1015
SOT47
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamEvertonMan City
Goals02
Shots1016
SOT19
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamWatfordSouthampton
Goals00
Shots1314
SOT05
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamWest BromChelsea
Goals23
Shots1515
SOT65
\n", "
\n", "
\n", " \n", " \n", " \n", " \n", " \n", " \n", " \n", "
HomeAway
TeamArsenalLiverpool
Goals00
Shots1915
SOT58
\n", "
" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 2 }, { "cell_type": "markdown", "metadata": {}, "source": [ "This is being done on Monday before the Arsenal vs Liverpool game so I'll update this post after data for that match is available.\n", "" ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Manchester United vs Newcastle, Norwich vs Stoke\n", "\n", "Two draws, and two fairly incredible shot dominations. Between them, the away sides Newcastle and Stoke managed just one shot on target whilst allowing 15. To see just how unusual it is for a team to take a lot of shots but not the three points here is a quick analysis of matches with more shots than Manchester United took, that is one (or both) of the teams took 20 or more shots 8 or more of which were on target only for the team to fail to score/win." ] }, { "cell_type": "code", "collapsed": false, "input": [ "matches = list(league_analysis.get_all_matches())\n", "def high_home_shots(match):\n", " return match.HS >= 20 and match.HST >= 8\n", "def high_away_shots(match):\n", " return match.AS >= 20 and match.AST >= 8\n", "def shots_without_scoring(match):\n", " return ((match.FTHG == 0 and high_home_shots(match)) or\n", " (match.FTAG == 0 and high_away_shots(match)))\n", "def shots_without_winning(match):\n", " return ((match.FTR != 'H' and high_home_shots(match)) or\n", " (match.FTR != 'A' and high_away_shots(match)))\n", "\n", "num_shots_without_scoring = len([m for m in matches if shots_without_scoring(m)])\n", "num_shots_without_winning = len([m for m in matches if shots_without_winning(m)])\n", "num_matches = len(matches)\n", "pairs = [('Total game', num_matches),\n", " ('High shots without scoring', num_shots_without_scoring),\n", " ('.. percentage', (num_shots_without_scoring / num_matches) * 100),\n", " ('High shots without winning', num_shots_without_winning),\n", " ('.. percentage', (num_shots_without_winning / num_matches) * 100),\n", " ]\n", "league_analysis.display_pairs(pairs)" ], "language": "python", "metadata": {}, "outputs": [ { "html": [ "
\n", "\n", "\n", "\n", "\n", "\n", "
Total game11595
High shots without scoring95
.. percentage0.8193186718413108
High shots without winning347
.. percentage2.992669253988788
" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 3 }, { "cell_type": "markdown", "metadata": {}, "source": [ "So in less than 1 percent of games, a team takes as many shots/shots on target as Manchester United did this week and fails to score. Similarly less than 3 percent of games in which a team takes as many shots/shots on target but fails to win." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# West Brom vs Chelsea\n", "\n", "Chelsea continue their pretty middling start to the season, they at least manage an away victory but fail to out-shoot West Brom. It is easy to start drawing conclusions too early and this is certainly too early. So, just to put a damper on anyone thinking Chelsea are looking likely to struggle for a Champions' League spot this season, remember that they already have two red cards. So far the stats on Chelsea reveal that they were pretty well out-played by Manchester City at the Etihad and that they were out-shot by Swansea and West Brom. But Manchester City are likely to out-play most teams at the Etihad, even the eventual champions if not themselves. Most teams will be out-shot when losing a player to a red-card in the 51st-53rd minute of the match." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Leicester vs Tottenham\n", "\n", "Leicester have had a cracking start to the season, albeit against less than stellar opposition, so Tottenham at home was a good test. Spurs have out-shot them, but not by an incredible amount. I think Leicester will be pretty pleased with this result, possibly more so than their previous wins as this result kind of hints at the ability to comfortably remain in the league." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Swansea and Southampton Frustrated\n", "\n", "Similar to Manchester United and Norwich, Swansea and Southampton appear to have out-played their opponents with only a draw to show for their efforts. They won't be quite so displeased since they were playing away from home, but that makes out-shooting your opponents a bit more of a signal. In three games so far Swansea have out-shot their hosts and drawn twice, whilst also comfortably winning at home. Most stats-watchers predicted something of a demise/regression for Swansea this season, so far they seem at the very least okay.\n", "\n", "Southampton similarly seem not to have quite had the return they deserve for there efforts so far." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Palace and Manchester City deserved wins\n", "\n", "Relatively straightforward victories for Palace and Manchester City." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# West Ham vs Bournemouth\n", "\n", "Slightly crazy match. I guess Bournemouth supports should be as pleased with out-shooting their established premier league opponents away from home as with the result. I think the Cherries are likely survivalists and possibly even the higher reaches of the bottom half. West Ham fans have occasion to be concerned, if not quite out-right worried yet." ] }, { "cell_type": "markdown", "metadata": {}, "source": [ "# Graphs\n", "\n", "Compulsory more or less random graph at the end. This shows how a team's total number of shots relates to their shots on target." ] }, { "cell_type": "code", "collapsed": false, "input": [ "teams = epl.teams\n", "def get_tsr_match(league, team, match_index):\n", " def tsr_in_game(game):\n", " shots_for = league_analysis.shots_for_in_game(team, game)\n", " shots_against = league_analysis.shots_against_in_game(team, game)\n", " total_shots = shots_for + shots_against\n", " return league_analysis.clean_ratio(shots_for, total_shots, default=0.5)\n", " stats = league.team_stats[team]\n", " return tsr_in_game(stats.games[match_index])\n", "def get_x_stat(league, team):\n", " stats = league.team_stats[team]\n", " return stats.shots_for\n", "def get_y_stat(league, team):\n", " stats = league.team_stats[team]\n", " return stats.sot_for\n", " \n", "annotate_teams = ['Bournemouth', 'Norwich', 'Watford', 'Swansea', 'Liverpool',\n", " 'Man City', 'Crystal Palace', 'Arsenal']\n", "league_analysis.scatter_stats(epl, teams=teams, xlabel='All Shots', ylabel='Shots on Target',\n", " title='Shots to Shots on Target',\n", " annotate_teams=annotate_teams,\n", " get_x_stat=get_x_stat, get_y_stat=get_y_stat)" ], "language": "python", "metadata": {}, "outputs": [ { "metadata": {}, "output_type": "display_data", "png": 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V++vDxphnvPeTe45ZOLNmV9Wh/TmcifTaAOvcfztK+4cYY7q79+Nmyh40eHnvh2v9PSQQ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/vq/ZgyGGYwcGD1NHB7eXnx5JNP0qZNAFeuXGXevHkcPny4Wo5dF0ycuBKDYQanTl26bl19jYqi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\nqt/Oz15KkiRJC89Gf2ahqi6g3TZ1B+DvR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"text": [ "" ] }, { "html": [ "line of best fit: \n", "0.3824 x - 2.243" ], "metadata": {}, "output_type": "display_data", "text": [ "" ] } ], "prompt_number": 4 }, { "cell_type": "markdown", "metadata": {}, "source": [ "The correlation here is pretty good, there are not a large number of outliers. Norwich appear a little trigger happy in that there are taking a lot of shots and not quite getting a high enough proportion on target, the same could be said of Watford. Perhaps it lies in something to do with differences with the Championship, the 3rd promoted team, Bournemouth, seem more middle-of-the-pack here, but they are still below the line of best fit.\n", "\n", "Note, it's non-obvious whether it is a good thing to be above or below this line, but you certainly want to be towards the top-right, and just look where Swansea are.\n", "\n", "Pre-Monday night, don't worry too much about Liverpool, they are low on account of having played one fewer game. But Arsenal have too and are in the middle of the pack." ] } ], "metadata": {} } ] }