Monthly variation appears to be a well established effect in the EPL and it's most noticeable in the amount fouls committed per game.The number rises slightly after the first month of the season before showing a general downward trend for the rest of the campaign.There are occasional upward blips,most notably in December,possibly as a result of larger festive crowds.The most interesting question regarding foul counts is whether after an initial rise in number the teams self regulate and become more restrained or whether the competitiveness of the tackling remains broadly consistent and it is the officiating that varies. In tournament soccer referees do tend to be excesively harsh in their interpretation of what is a foul in the earlier exchanges before relaxing their stance as the competition progresses.
The reduction in fouls late in the season is possibly easier to understand.Players are either looking forward to the beach or important international tournaments.There will be games that have a huge bearing on relegation or the title,but these type of games will be outnumbered by other less vital matchups.A large downward spike in the number of red cards coupled with a decrease in fouls and increase in shots in April indicates the games becoming more benign later in the season.
Correlated varibles unsurprisingly tend to follow each other step by step.Goals peak relatively early in the season,level off mid year before peaking again towards the end of the campaign. Shots,shots on target and corners generally follow the trend set by goals.
The really interesting question is why the monthly variation happens.Is it down to coaching tendencies,is some of it driven by the officials or is it weather related?
Saturday, 15 October 2011
Monthly Variation in the EPL.
Friday, 14 October 2011
Do Referees Subconsciously Influence Matches?
The Expected Points Model I use in this blog is a very potent weapon in analysis performance based questions in soccer.All things being equal the cumulative total pre game EP over a reasonably large number of games for individual teams almost always tallies up to be very close to the actual points a team achieves.If there is a major discrepancy between the actual and predicted points totals there is usually a readily discernible reason why.For example if we were to by pure chance select a series of games where the team was destined to have a player dismissed,the cumulative pre game EP for that team would be well above the actual points gained.However,the cause,namely the red cards would be readily apparent.
It is therefore possible to use an Expected Points approach to evaluate any influence a certain referee may
have had on the outcome of a batch of games.However,before I go any further I want to emphasis that because a referee shows up as an outlier in any analysis involving match decisions,it no way implies that there may be deliberate bias involved.People can respond subconsciously in different ways to very similar situations and if the majority react in a different way to you that difference can become apparent.It may present a problem in terms of consistency of decisions,but it doesn't automatically mean that there is deliberate bias at work.
Secondly,random events can converge to make a set of games appear unusual and the result of a common denominator such as the referee,when in fact they have just come about by random chance.I'll deal with these issues in a later post,but for now here's how games controlled by the major EPL ref's from the last seven seasons have panned out.
Recent and major decisions tend to be over emphasised in people's memories,so it's hardly surprising that every set of fans think that every official is out to get their team regardless of venue and regardless of their team's standing in the match in question.But it is an enduring opinion that refs favour either the home teams or the better teams in a game.This is reinforced because in general home sides and favourites will do more attacking,receive more free kicks and penalties and although this can be construed as favouritism from officialdom,it is really just down the better team getting it's just deserts.
These natural advantages enjoyed by home teams is already accounted for in the Expected Points calculation,so we can compare the cumulative pre game EP totals with the actual totals gained by the host and then sort them by referee to see if any patterns begin to emerge.All EPL games from the 2004-05 season until the present were included and any referee who officiated 30 games or less was excluded.The vast majority of the referees appear to officiate in games which on average produce actual cumulative points tallies that are extremely close to the pre game expectations.Mark Halsey for example officiated in 121 games and pre game estimates would have suggested that the home team would gain 198.5 points from those games.They actually gained 198 points.So from these figures we would have to conclude that Halsey was officiating in a way that corresponds very closely to the way officials have refereed in the past.Overall 13 of the 21 referees featured in the table saw their groups of matches produce home points that were within 4% or better of their expected value and the majority have been rewarded by being appointed to take charge of the FA Cup final.
Games officiated by Peter Walton saw the home side's actual points under perform the expected value by nearly 8% (two refs produced higher discrepancies,but their game tallies were each much less than Walton's total of 134 games).Again a caveat must apply.Firstly,these results could have arose through random chance or alternatively Walton may actually be one of the few officials who is able to resist the subconscious influence of the home support and it is his colleagues who are out of step.At the other end of the spectrum Mark Clattenburg is the ref with most games in the survey who saw an elevated points tally for the home teams he officiated.Home teams gained an average of 7% more points than expected when he was in charge.The most prestigious game either Clattenberg or Walton have taken charge of is the Community Shield.
Points accrued by home teams compared to pre game expectations sorted by referee.2005-11.
* denotes a cup final referee.
If we repeat the exercise by tracing the points haul for all pregame favourites a similar pattern appears.14 of the listed refs see their games come in at within 4% of the expected points total.Game favourites are not always readily identifiable,for example when a relegation candidate entertains a mid table team.So in the majority of these games there's not a huge amount of subliminal pressure to ensure that the "right" team wins.Games overseen by Phil Dowd have coincided with the likes of Arsenal,Chelsea and ManU failing to fulfil their pre game expectations,while Lee Probert controlled matches has seen the favourites overachieve.
Points accrued by match favourites compared to pre game expectations sorted by referee.2005-11
From the previous table is is evident that the interpretation and implementation of the laws in the EPL are very largely consistent with previous seasons.There are very few refereeing performances that deviate greatly from the expected outcome over a large enough batch of games.The fewer the games the more likely it is we will see batches of games that appear atypical and even where outlying officials have controlled large numbers of games the possibility for freak sequences to appear is real and present.
Poor or contentious decisions are often seen as the result of incompetence or malice,but more often they result from a subconscious desire by the officials to please the majority ( in the case of home field teams) or satisfy the consensus opinion (in the case of favourites).Managers often criticise officials often unjustly,but always to gain a possible advantage in future games where the previous,often well publicised vent will subconsciously "encourage"referees to favour their side to atone for previous mistakes.
Judging by the above results EPL referees are largely immune to such pressures or if they do allow their judgement to be swayed it is within the bounds of historical limits and therefore relatively consistent between referees.
It is therefore possible to use an Expected Points approach to evaluate any influence a certain referee may
have had on the outcome of a batch of games.However,before I go any further I want to emphasis that because a referee shows up as an outlier in any analysis involving match decisions,it no way implies that there may be deliberate bias involved.People can respond subconsciously in different ways to very similar situations and if the majority react in a different way to you that difference can become apparent.It may present a problem in terms of consistency of decisions,but it doesn't automatically mean that there is deliberate bias at work.
Secondly,random events can converge to make a set of games appear unusual and the result of a common denominator such as the referee,when in fact they have just come about by random chance.I'll deal with these issues in a later post,but for now here's how games controlled by the major EPL ref's from the last seven seasons have panned out.
Recent and major decisions tend to be over emphasised in people's memories,so it's hardly surprising that every set of fans think that every official is out to get their team regardless of venue and regardless of their team's standing in the match in question.But it is an enduring opinion that refs favour either the home teams or the better teams in a game.This is reinforced because in general home sides and favourites will do more attacking,receive more free kicks and penalties and although this can be construed as favouritism from officialdom,it is really just down the better team getting it's just deserts.
These natural advantages enjoyed by home teams is already accounted for in the Expected Points calculation,so we can compare the cumulative pre game EP totals with the actual totals gained by the host and then sort them by referee to see if any patterns begin to emerge.All EPL games from the 2004-05 season until the present were included and any referee who officiated 30 games or less was excluded.The vast majority of the referees appear to officiate in games which on average produce actual cumulative points tallies that are extremely close to the pre game expectations.Mark Halsey for example officiated in 121 games and pre game estimates would have suggested that the home team would gain 198.5 points from those games.They actually gained 198 points.So from these figures we would have to conclude that Halsey was officiating in a way that corresponds very closely to the way officials have refereed in the past.Overall 13 of the 21 referees featured in the table saw their groups of matches produce home points that were within 4% or better of their expected value and the majority have been rewarded by being appointed to take charge of the FA Cup final.
Games officiated by Peter Walton saw the home side's actual points under perform the expected value by nearly 8% (two refs produced higher discrepancies,but their game tallies were each much less than Walton's total of 134 games).Again a caveat must apply.Firstly,these results could have arose through random chance or alternatively Walton may actually be one of the few officials who is able to resist the subconscious influence of the home support and it is his colleagues who are out of step.At the other end of the spectrum Mark Clattenburg is the ref with most games in the survey who saw an elevated points tally for the home teams he officiated.Home teams gained an average of 7% more points than expected when he was in charge.The most prestigious game either Clattenberg or Walton have taken charge of is the Community Shield.
Points accrued by home teams compared to pre game expectations sorted by referee.2005-11.
| REFEREE. | PreGame Expected Points for Home Teams. | Actual Home Team Points. | % Difference. | Number of Games. |
| L Mason. | 145.3 | 157 | 8.0 | 86 |
| M Clattenburg. | 210.1 | 224 | 6.6 | 124 |
| L Probert. | 126.0 | 134 | 6.3 | 72 |
| K Friend. | 56.9 | 60 | 5.4 | 33 |
| U Rennie. | 81.3 | 83 | 2.1 | 50 |
| C Foy. | 247.4 | 251 | 1.4 | 145 |
| P Dowd. | 251.5 | 255 | 1.4 | 152 |
| M Dean. | 274.1 | 276 | 0.7 | 169 |
| M Halsey. | 198.5 | 198 | -0.3 | 121 |
| M Riley. | 178.7 | 178 | -0.4 | 118 |
| M Atkinson. | 256.4 | 254 | -0.9 | 151 |
| A Marriner. | 177.6 | 175 | -1.5 | 109 |
| H Webb. | 294.2 | 289 | -1.8 | 177 |
| A Wiley. | 244.0 | 239 | -2.1 | 145 |
| R Styles. | 186.3 | 180 | -3.4 | 111 |
| G Poll. | 104.6 | 101 | -3.5 | 61 |
| S Bennett | 231.4 | 222 | -4.1 | 139 |
| P Walton. | 231.7 | 214 | -7.6 | 134 |
| M Jones. | 109.0 | 100 | -8.3 | 60 |
| S Atwell. | 69.8 | 62 | -11.2 | 36 |
* denotes a cup final referee.
If we repeat the exercise by tracing the points haul for all pregame favourites a similar pattern appears.14 of the listed refs see their games come in at within 4% of the expected points total.Game favourites are not always readily identifiable,for example when a relegation candidate entertains a mid table team.So in the majority of these games there's not a huge amount of subliminal pressure to ensure that the "right" team wins.Games overseen by Phil Dowd have coincided with the likes of Arsenal,Chelsea and ManU failing to fulfil their pre game expectations,while Lee Probert controlled matches has seen the favourites overachieve.
Points accrued by match favourites compared to pre game expectations sorted by referee.2005-11
| REFEREE. | Pre Game Expected Points for Favourites. | Actual Points won by Favourites. | % Difference. | Number of Games. |
| L Probert. | 133.2 | 149 | 11.8 | 72 |
| A Wiley. | 278.4 | 296 | 6.3 | 145 |
| C Foy. | 274.1 | 290 | 5.8 | 145 |
| R Styles. | 213.2 | 222 | 4.1 | 111 |
| K Friend. | 60.6 | 63 | 4.0 | 118 |
| M Riley. | 191.1 | 199 | 4.0 | 33 |
| M Halsey. | 226.1 | 234 | 3.5 | 121 |
| S Bennett. | 268.8 | 276 | 2.7 | 139 |
| G Poll. | 111.1 | 113 | 1.7 | 61 |
| U Rennie. | 93.7 | 95 | 1.4 | 50 |
| M Clattenburg. | 235.5 | 236 | 0.2 | 124 |
| D Gallagher. | 63.2 | 63 | -0.3 | 34 |
| P Walton. | 259.8 | 256 | -1.5 | 134 |
| M Dean. | 313.6 | 309 | -1.5 | 169 |
| M Atkinson. | 279.1 | 272 | -2.6 | 151 |
| A Marriner. | 212.0 | 205 | -3.3 | 109 |
| L Mason | 163.2 | 157 | -3.8 | 86 |
| M Jones. | 113.3 | 109 | -3.8 | 60 |
| H Webb. | 324.8 | 310 | -4.6 | 177 |
| S Atwell. | 69.5 | 62 | -10.8 | 36 |
| P Dowd. | 287.7 | 255 | -11.4 | 152 |
From the previous table is is evident that the interpretation and implementation of the laws in the EPL are very largely consistent with previous seasons.There are very few refereeing performances that deviate greatly from the expected outcome over a large enough batch of games.The fewer the games the more likely it is we will see batches of games that appear atypical and even where outlying officials have controlled large numbers of games the possibility for freak sequences to appear is real and present.
Poor or contentious decisions are often seen as the result of incompetence or malice,but more often they result from a subconscious desire by the officials to please the majority ( in the case of home field teams) or satisfy the consensus opinion (in the case of favourites).Managers often criticise officials often unjustly,but always to gain a possible advantage in future games where the previous,often well publicised vent will subconsciously "encourage"referees to favour their side to atone for previous mistakes.
Judging by the above results EPL referees are largely immune to such pressures or if they do allow their judgement to be swayed it is within the bounds of historical limits and therefore relatively consistent between referees.
Tuesday, 11 October 2011
How Well Do Team Statistics Persist Over a Season.
As promised here I've posted below the intra seasonal correlation for some of the more commonly found team statistics seen in soccer.For example shots taken by teams in the first half of the season are strongly related to the average number of shots taken in the second half of the year.However,from the previous post we can see shots are not particularly strongly correlated with success rate.Therefore,although we will be able to predict reasonably well the number of shots a team is likely to have in a future game from past performance,that information will not necessarily be the best to use in predicting future success rate.
From the previous post we can see that goal difference is very strongly correlated with success rate and from the table below we can see there is a reasonably strong intra season auto correlation and for that reason most methods for predicting future performance are based on goal difference.
Yellow and Red cards received by teams are very uncorrelated across a season,possibly indicating that teams can greatly influence this aspect of the game.There is after all a very big incentive to improve discipline to prevent suspensions and the reduction of avoidable cards for transgressions such as dissent should be relatively easy to implement......or maybe it's just that all the dirty players are suspended come Christmas.
Table charting the strength of the correlation between individual team statistics for the EPL's first 19 league games and the second 19 games of the season for the last 7 completed seasons.
From the previous post we can see that goal difference is very strongly correlated with success rate and from the table below we can see there is a reasonably strong intra season auto correlation and for that reason most methods for predicting future performance are based on goal difference.Yellow and Red cards received by teams are very uncorrelated across a season,possibly indicating that teams can greatly influence this aspect of the game.There is after all a very big incentive to improve discipline to prevent suspensions and the reduction of avoidable cards for transgressions such as dissent should be relatively easy to implement......or maybe it's just that all the dirty players are suspended come Christmas.
Table charting the strength of the correlation between individual team statistics for the EPL's first 19 league games and the second 19 games of the season for the last 7 completed seasons.
| VARIABLE. | Correlation from 1st Half of the Season to 2nd Half. |
| Shots by Team. | 0.69 |
| Shots on Target by Team. | 0.62 |
| Goal Difference. | 0.52 |
| Goals Scored by Team. | 0.35 |
| Goals Conceded by Team. | 0.35 |
| Shots by Opponents. | 0.60 |
| Shots on Target by Opponents. | 0.50 |
| Fouls Conceded. | 0.37 |
| Fouls by Opponents. | 0.42 |
| Corners Won by Team. | 0.30 |
| Corners Conceded by Team. | 0.44 |
| Yellow Cards received by Team. | 0.07 |
| Yellow Cards given to Opponents. | 0.22 |
| Red Cards received by Team. | 0.004 |
| Red Cards given to Opponents | 0.07 |
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