{
"metadata": {
"nikola": {
"category": "",
"date": "2015-12-22 10:21:43 UTC",
"description": "",
"link": "",
"slug": "epl-19-21st-december-2015",
"tags": "",
"title": "EPL 19-21st December 2015",
"type": "text"
},
"signature": "sha256:c2ce916daaf7d3e5b9aad13d0f7ad85afaf2b0db13125e677068c556507c295d"
},
"nbformat": 3,
"nbformat_minor": 0,
"worksheets": [
{
"cells": [
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# English Premier League 19-21st December\n",
"\n",
"Another weekly look at the shot statistics from 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\n",
"league_analysis.blog_weekly_header(epl, '19/12/2015', '21/12/2015')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"
\n",
"
\n",
" | Home | Away |
\n",
" Team | Chelsea | Sunderland |
\n",
" Goals | 3 | 1 |
\n",
" Shots | 17 | 11 |
\n",
" SOT | 7 | 3 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Everton | Leicester |
\n",
" Goals | 2 | 3 |
\n",
" Shots | 13 | 10 |
\n",
" SOT | 5 | 5 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Man United | Norwich |
\n",
" Goals | 1 | 2 |
\n",
" Shots | 11 | 6 |
\n",
" SOT | 2 | 4 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Newcastle | Aston Villa |
\n",
" Goals | 1 | 1 |
\n",
" Shots | 8 | 10 |
\n",
" SOT | 4 | 7 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Southampton | Tottenham |
\n",
" Goals | 0 | 2 |
\n",
" Shots | 11 | 13 |
\n",
" SOT | 4 | 6 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Stoke | Crystal Palace |
\n",
" Goals | 1 | 2 |
\n",
" Shots | 26 | 12 |
\n",
" SOT | 5 | 3 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | West Brom | Bournemouth |
\n",
" Goals | 1 | 2 |
\n",
" Shots | 6 | 16 |
\n",
" SOT | 2 | 7 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Swansea | West Ham |
\n",
" Goals | 0 | 0 |
\n",
" Shots | 21 | 11 |
\n",
" SOT | 2 | 2 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Watford | Liverpool |
\n",
" Goals | 3 | 0 |
\n",
" Shots | 6 | 12 |
\n",
" SOT | 5 | 4 |
\n",
" \n",
"
\n",
"
\n",
"\n",
"
\n",
" | Home | Away |
\n",
" Team | Arsenal | Man City |
\n",
" Goals | 2 | 1 |
\n",
" Shots | 8 | 20 |
\n",
" SOT | 5 | 6 |
\n",
" \n",
"
\n",
"
"
],
"metadata": {},
"output_type": "display_data",
"text": [
""
]
},
{
"html": [
"Position | Team | Points |
---|
1 | Leicester | 38 |
\n",
"2 | Arsenal | 36 |
\n",
"3 | Man City | 32 |
\n",
"4 | Crystal Palace | 29 |
\n",
"- | Man United | 29 |
\n",
"- | Tottenham | 29 |
\n",
"7 | Watford | 28 |
\n",
"8 | West Ham | 25 |
\n",
"9 | Liverpool | 24 |
\n",
"10 | Stoke | 23 |
\n",
"- | Everton | 23 |
\n",
"12 | Southampton | 21 |
\n",
"13 | West Brom | 20 |
\n",
"14 | Bournemouth | 19 |
\n",
"15 | Chelsea | 18 |
\n",
"16 | Newcastle | 17 |
\n",
"- | Norwich | 17 |
\n",
"18 | Swansea | 15 |
\n",
"19 | Sunderland | 12 |
\n",
"20 | Aston Villa | 7 |
\n",
"Position | Team | Team Rating |
---|
1 | Man City | 0.24891148068124508 |
\n",
"2 | Arsenal | 0.1948585208991753 |
\n",
"3 | Tottenham | 0.18121421144120595 |
\n",
"4 | Man United | 0.11482230106557523 |
\n",
"5 | Liverpool | 0.10950340835100668 |
\n",
"6 | Leicester | 0.0984538870780712 |
\n",
"7 | Southampton | 0.05409860888326491 |
\n",
"8 | Watford | 0.03470513695322288 |
\n",
"9 | Everton | 0.009721425007073015 |
\n",
"10 | Chelsea | 0.007845509607072353 |
\n",
"11 | Bournemouth | -0.006609427820242583 |
\n",
"12 | West Ham | -0.011354682317004143 |
\n",
"13 | Crystal Palace | -0.023759837368866082 |
\n",
"14 | Swansea | -0.05913621875071391 |
\n",
"15 | Norwich | -0.09761055927846143 |
\n",
"16 | Stoke | -0.11992821842325234 |
\n",
"17 | Aston Villa | -0.16745687037522403 |
\n",
"18 | Sunderland | -0.18570423491380045 |
\n",
"19 | West Brom | -0.19117694766284546 |
\n",
"20 | Newcastle | -0.22445174685440208 |
\n",
"Position | Team | PDO |
---|
1 | Everton | 0.11967779056386652 |
\n",
"2 | Man United | 0.11927642736009045 |
\n",
"3 | Arsenal | 0.10104477611940299 |
\n",
"4 | Leicester | 0.09652023303416785 |
\n",
"5 | Watford | 0.07937584803256445 |
\n",
"6 | West Brom | 0.06298815822625348 |
\n",
"7 | West Ham | 0.06060606060606061 |
\n",
"8 | Crystal Palace | 0.055135692201992464 |
\n",
"9 | Stoke | 0.05090311986863713 |
\n",
"10 | Tottenham | 0.017879948914431648 |
\n",
"11 | Newcastle | 0.0034364261168384758 |
\n",
"12 | Man City | -0.011475409836065598 |
\n",
"13 | Sunderland | -0.013184584178498993 |
\n",
"14 | Chelsea | -0.03764705882352937 |
\n",
"15 | Norwich | -0.06411862990810363 |
\n",
"16 | Aston Villa | -0.08595531235750109 |
\n",
"17 | Southampton | -0.09390243902439022 |
\n",
"18 | Swansea | -0.11208791208791208 |
\n",
"19 | Bournemouth | -0.15984555984555981 |
\n",
"20 | Liverpool | -0.19308641975308644 |
"
],
"metadata": {},
"output_type": "display_data",
"text": [
""
]
}
],
"prompt_number": 1
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Chelsea 3-1 Sunderland\n",
"\n",
"This was a pretty kind game for Chelsea to have without a manager. Sunderland are showing some small signs of improvement, but they are small and they remain 18th for team rating. As for Chelsea, well, we'll have to wait and see what happens under Hiddink. Up to 10th in team rating and finally a positive score for team rating. It is worth noting that there is not much between the mid-table sides, but Chelsea have been hovering just below 10th for a while:\n",
"\n",
""
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"after_game_no_dicts = league_analysis.collect_after_game_dicts(epl, '01/08/2015', '21/12/2015')\n",
"league_analysis.plot_changing_stats(epl, after_game_no_dicts, 'team_rating', rankings=True, \n",
" teams=['Chelsea', 'Bournemouth', 'Everton', 'Watford'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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xtH+416iyE7gdSZrhPaIQoh/vRWVsX57XojqswXs6AnjvmVL8e/qjTWBYluDrv9M5F2lO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pEwjiUCcPTddzNg8mR6/frXoe3zhhvgv//13f5D1fiXYI2g8DMoqWXGog5MfRg/HoqK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\nNAJcc41PNtRIeX0V1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1qpEEAmrFRItHKlTyaMH+//vPPOcPvtMHhw+jU9XLYMDjzQN2Yc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\n/R7+GUEs2cCjwCLgT6k+fiV2BBKbVxnwr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"text": [
""
]
}
],
"prompt_number": 2
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Everton 2-3 Leicester\n",
"\n",
"Well, Leicester seemingly still riding their luck somewhat. However this was a close game that could have been won by either team. Before Everton bemoan losing despite having more shots, they should consider that they themselves now top the PDO table and Leicester have a better team rating."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Manchester United 1-2 Norwich\n",
"\n",
"One of those strange games in which one team has more shots but fewer shots on target. It is arguable as to the better team here, but one thing is clear, we would expect a Manchester United team at home to simply dominate a Norwich team and that did not happen. Ignoring shots on target, 11 shots to 6 is a decent out-shooting performance for a home team, but not one that is behind in the game."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Newcastle 1-1 Aston Villa\n",
"\n",
"Battle of those at the bottom. Villa really needed a win here. Newcastle were again out-shot at home and this time by the team propping up the table. Albeit Villa are probably a little unlucky to be that far behind. Newcastle and Sunderland continue look like the worst two teams in the league and if their luck does not hold can consider it likely they are relegated. Villa are probably a good enough team to just avoid relegation **if** they had amassed something like 18th placed Swansea's 15 points. As it stands they have just 7 to their name. So I suspect they are not quite good enough to get themselves out of the position they find themselves in, and may well find they are relegated with a bit of a hard-luck story to accompany them into the Championship.\n",
"\n",
"In this respect Aston Villa are the sort of mirror image of Leicester. Leicester are good team this season, but probably not quite a top four team in terms of ability. However the points they have amassed so far may mean that Leicester make the top four. In other words Leicester are not a good enough team to make the top four on merit, but may be good enough to make the top four with a bit of luck and they've already had the good luck they just need to avoid a lot of bad luck (and injuries) in the second half of the season. Similarly Aston Villa are probably a good enough side to avoid relegation on merit, but not with a dose of bad luck and they've already had the bad luck, so they probably need a balancing dose of good fortune in the second half of the season to remain in the league."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Southampton 0-2 Tottenham\n",
"\n",
"Tottenham continue to look pretty decent this season. With Chelsea's problems effectively creating an extra Champions' league spot Tottenham will see this as a huge missed opportunity if they fail to make the top four. Although in fairness currently Leicester are taking up that spare spot. Still, for my money Tottenham are projecting better than Manchester United who are second in the league for PDO."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Stoke 1-2 Crystal Palace\n",
"\n",
"Strangely I think Stoke will be pretty happy about this. They have not dominated many teams this season. Stoke are still only 16th for team rating but they appear to be improving. Okay so they probably looked upon this game as a potential three points, still though if they create this many chances when behind they won't lose that many similar games.\n",
"\n",
"Of course they probably won't be as happy as Crystal Palace fans up to 4th equal on points. Their 29 points so far is an excellent total. Strange that their team rating is all the way down in 13th whilst their PDO is not amazingly high in 8th. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# West Brom 1-2 Bournemouth\n",
"\n",
"That's three games and nine points for Bournemouth, two of those games away from home. Stuck on just 10 points 3 games ago Bournemouth fans must have been fearing a fate similar to Aston Villa's. Things look significantly rosier now. "
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Swansea 0-0 West Ham\n",
"\n",
"Well Swansea are in need of something and a goal here to snatch a victory would have been very handy. With 21 shots they may feel a little aggrieved not to take all three points. But with shots on target at 2-2 it's not that surprising that this game ended 0-0. Swansea now in the relegation zone and whilst they must be worrying, I suspect they have enough ability to extract themselves from the relegation zone. Swansea are a bit similar to Norwich and West Brom. In another season they may well have been relegated, but this season, if they avoid some bad luck, they are likely rescued by Newcastle, Sunderland and Aston Villa."
]
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Watford 3-0 Liverpool\n",
"\n",
"On the face of it, it looks like a pretty bad defeat for Liverpool. More optimistically neither team dominated this game and Watford were a bit fortunate to score early on. However Liverpool will be worried that Watford managed to contain them so well. Still, Liverpool are again the most unlucky team in the league, having been overtaken by Bournemouth for a while, a team who have reaped some deserved rewards recently:"
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"league_analysis.plot_changing_stats(epl, after_game_no_dicts, 'pdo', rankings=True, \n",
" teams=['Bournemouth', 'Liverpool', 'Swansea', 'Southampton'])"
],
"language": "python",
"metadata": {},
"outputs": [
{
"metadata": {},
"output_type": "display_data",
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kqgq/QoYNG4ZzjilTphSZUyGUmuxJMXDgQJxzPP744yF7GsycOZPt27cHV5ko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\niIiIiIiIiERNCQURE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G5HTZPg768+vivIevx5fgW+Ou5PIcZ0a7BuRCyPjx566KFHQXuY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\nAAAASUVORK5CYII=\n",
"text": [
""
]
}
],
"prompt_number": 5
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"# Arsenal 2-1 Manchester City\n",
"\n",
"Not the top of the table clash since Leicester were comfortably top of the table regardless of who won this game. Arsenal will be delighted whilst Manchester City will feel aggrieved not to have taken back a point. Costly second goal to concede in the end. Manchester City managed to constrain Arsenal to half their usual shots whilst taking almost double what Arsenal usually allow. Although the shots on target numbers are certainly more sobering for Manchester City fans and the total shots numbers may reflect more Arsenal being in the lead for the majority of the game. Still Arsenal will be more pleased with the results than the entirely non-obvious implications of the teams' respective match performances."
]
},
{
"cell_type": "code",
"collapsed": false,
"input": [
"epl.compare_game_against_opponents('Arsenal', 'Man City', '21/12/15')"
],
"language": "python",
"metadata": {},
"outputs": [
{
"html": [
"Measure | Average Per Game for | This game for | Average Per Game against opponents |
---|
Arsenal Shots | 16.235294117647058 | 8 | 8.588235294117647 |
\n",
"Man City Shots | 17.058823529411764 | 20 | 11.235294117647058 |
\n",
"Arsenal SOT | 5.882352941176471 | 5 | 3.588235294117647 |
\n",
"Man City SOT | 6.470588235294118 | 6 | 3.9411764705882355 |
"
],
"metadata": {},
"output_type": "display_data",
"text": [
""
]
}
],
"prompt_number": 9
},
{
"cell_type": "markdown",
"metadata": {},
"source": [
"Generally it looks like Leicester will regress at least a bit and that probably the league title will come down to these two. As to which might prevail I'd say it was pretty neck-and-neck at the moment. If pushed, I'd suggest a slight edge for Manchester City, but, as they have been since the start of the season, Arsenal really are genunine title contenders this season.\n",
"\n",
"Thanks again for reading!"
]
}
],
"metadata": {}
}
]
}