Written by: Jonny Grossmark - November 7, 2012

At Home, down 1-0 at Half Time. How often do you win? | Stats Analysis


Recently, I looked at a large sample of away teams losing 1-0 at half-time and discovered that they find it very difficult to make a comeback and win the fixture. In this article, I explore the degree to which we might expect that the home team, similarly fighting a 0-1 deficit, fights back to win the game.

I fired up my Excel spreadsheets, dating as far back as the 2008/9 season, and calculated how many times the current crop of Premiership teams have come back from 0-1 down to gain all three points. From this I was able to designate each team with a win ratio applicable to these situations.

Home advantage is worth taking into account when using a predictive model to work out the odds of two teams winning. But at HT, if the team that you follow are losing at home by the scoreline of 0-1, then for a number of teams, motivational speeches by the manager, it would appear, are simply not going to work.

Although the sample is small, we see  in the table below that there are some  clear and discernible  trends. Just over 15% of the teams in the sample won when losing 0-1 at HT at home, so it appears that the chance to “fight back” is suppressed in this scenario (although not as strongly as it is in the 1-0 half-time data).

Where the sample size of potential come-back opportunities is greater than one, Arsenal, Spurs, Fulham, and Chelsea lead the way in terms of win ratio.

Table : Teams losing 0-1 at home at HT – Results since 2008

(You can sort the table by clicking on the column headers)

Team LOST DRAWN WON WIN RATIO
TOTAL 94 48 26 0.15
Arsenal 2 0 2 0.5
Aston Villa 9 2 0 0
Chelsea 4 2 3 0.33
Everton 8 4 2 0.14
Fulham 4 6 6 0.375
Liverpool 5 4 1 0.1
Man City 3 1 0 0
Man UTD 4 1 1 0.16
Newcastle 5 5 0 0
Norwich 2 2 0 0
QPR 5 1 0 0
Reading 1 1 0 0
Southampton 0 0 1 1
Stoke 5 5 1 0.09
Sunderland 9 3 1 0.07
Swansea 2 1 0 0
Spurs 4 1 4 0.44
WBA 3 2 2 0.28
West Ham 5 3 1 0.11
Wigan 14 4 1 0.05

In a research paper by Dixon and Robinson (1998), it is asserted that “teams tend to score more or fewer goals depending on the current score”. They concluded that “if the away team is leading then rates [of scoring] for both home and away teams tend to increase”.

So is the game more open when one team breaks the deadlock?

Data from last season in the Premier League shows that there was an average of 2.81 goals per game. In 2010/2011 it was 2.80, and during the 2009/2010 season the average goals per game stood at 2.77. We can see, then, that the figures are reasonably consistent.

We now compare this to the average number of goals scored in matches where the away team is winning 0-1 at half time in order to find out if there is any difference in the full-time-home-team-come-back goal average compared to the season average.

The average number of goals over all games where the home team is 0-1 down at  half-time in the  sample is 2.63, with 46% of games ending over 2.5 goals. Just 15% of game did not have a further goal in the second half.

I recognize that my sample is small. But I suggest that in 0-1 half-time situati0ns (and we need to further investigate the effect, if any, of the time of the first goal) despite the expectation of a further goal (at least amongst the home fans), it appears that there is no discernible increase in goal rate.

I have looked at the last three full seasons’ data (2009-2011) as well as the current season, and have seen a divergence from the Dixon and Robinson research, for Liverpool,  Everton, and Sunderland, in particular.

  • Liverpool: 2.11 Average- 77% of 0-1 Half Time games at home under 2.5 goals Full Time
  • Everton: 2.00 Average- 63% of 0-1 Half Time games at home under 2.5 goals Full Time
  • Sunderland: 2.1 Average- 66% of 0-1 Half Time games at home under 2.5 goals Full Time

Dixon and Robinson’s sample size was 4000 games, so my sample is very small by comparison.

But at this stage unless the trend breaks and reverts to the average, I would suggest that backing under 2.5 goals when Liverpool, Everton, or Sunderland are losing 1-0 at home at HT. The price will be around 1.9.

If you were betting on Liverpool vs Newcastle, for example,  then you would have probably:

  1. Backed Liverpool before the game and lost
  2. Backed over 2.5 goals at some point during the game and lost

As has been pointed out, not all games will fit into a predictive model, and as long as the predictive model results in long-term success then that is all that matters.

There are many people who discard a strategy after a few losses. But, unless the strategy fails over a long time period, then this does not necessarily mean that the strategy itself is a failure.

People should continue backing Fulham and Spurs to win when they are losing 0-1 at Half Time, and Liverpool, Everton, and Sunderland under 2.5 goals at 0-1 Half Time, as the punters will be getting value (unless the trend – and I will call it only a ‘trend’, as the sample size is small – ends). I note that Liverpool did draw 4-4 with Arsenal in 2008 when they were losing 0-1 at HT but, as has been documented by previous bloggers, there will always be outliers, exceptions, and counter-examples.

I question whether sample size matters. If we look at Portsmouth as an example there is no point looking at their Premier League data to work out the expectation of them winning a game this season.

Rather, the key may be to understand the difference between trends and  academic research on football. If a trend starts then why not follow it even if it cannot be explained by quantitative modelling.

With all the data available I think that the time has come to analyze academic papers and determine whether they have any substance in their conclusions.

I am certainly going to look at the time of the second goal (first goal by the other team) in my next post to see if  the time of the first goal has any effect on the next goal.

The data has now been open to everyone, so it is a great time to engage in statistical football analysis. If two Premier League teams play the same style one season to the next then there is a possibility that you will see consistent data. Fixtures which pit Stoke against Arsenal, for example, offer a good opportunity to do just this.

  • This season at Stoke, Arsenal had 17 Shots , attempted 159 final third passes, had 8 shots in the box, and 9 out of the box, and attempted 45 long balls.
  • Last season at Stoke, Arsenal had 17 Shots , attempted  154 final third passes, had 9 shots in the box, and 8 out of the box, and attempted 46 long balls.

Is the above random or can it be explained?





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About the Author

Jonny Grossmark
My first taste of football in a stadium was Gillingham V Aston Villa 1971 and I still have the programme which cost 5p. I have been lucky to have seen a number of Cup Finals but missed the Sunderland goal in 1973 as I was in the toliet. I have recently been watching Margate and also watch around 50 other matches a month on my computer .




 
 

 
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21 Comments


  1. David Cohen

    A brilliant piece full of information. This guy would be brilliant for SkySports. Stats like these will really be appreciated by those betting for a bit of fun.


  2. Jonny Grossmark

    Thanks for taking the time to give feedback David.

    Sadly I am not good look enough to appear on Sky Sports.


  3. Jonny Grossmark

    My next blog is about goal times. Could take 6 months to write.


  4. Emiraten
    Emiraten

    Nice piece.

    Just for clarity:
    When you say “since 2008″, you are talking about season 08/09 and not including the last half of the 07/08-season right?

    As for sample size, even with just 3 seasons included, you are still counting 1140 home games. I doubt there will be significant differences in the stats. And if there were, I would not grant them alot of weight. The dreaded “R2-factor” in statistics would diminish in an analysis like this in football, given that the teams change over time with their squad and managers. If you included very old data, for example for Liverpool, my guess is you would add just as much “noise” to the conclusions as you would strengthen them. For use in odds, I’d put more value into your numbers than the ones of Dixon and Robinson, or at least combine them.

    Again; great work.


  5. Jonny Grossmark

    2008/09. Thanks for your comments.


  6. Jonny Grossmark

    just looking at Arsenal for another Blog and against Stoke – 2012- 517 passes attempted and 420 completed,

    2011 515 passes attempted and 411 completed.

    certainly not HOT AIR.

    You can easily see how well a team is doing during a game if they both play the same styles every season…..

    Both games were a draw. Only difference was 0-0 v 1-1

    Food for thought?


    • Emiraten
      Emiraten

      Definitely food for thought.

      I support your conclusions to the fullest, just to remove any doubt. :-)

      Pulis is the fourth longest sitting manager in PL, meeting Wenger who is the second longest sitting manager. In games including any two of Man Utd., Arsenal, Stoke or Everton, I’d expect to see alot of consistency in stats over time, simply because they have the most consistant tactics. In these cases I’d put alot of faith in quantitive data.

      In matches including teams like Tottenham, Liverpool or Chelsea, I’d put more trust in what you define as trends, as the consistency of over time quantitative stats would be more questionable for teams that swap their managers every time the wind turns (as would be the case with most PL-teams).


  7. Jonny Grossmark

    I could not agree more. If Liverpool are playing I would get the quantitative data a chuck it out of a window from the 10th floor at least.

    You make some excellent points above.

    Watch out for my post on Arsenal.


  8. Jonny Grossmark

    infact Emiraten your points are much clearer then mine. You should write for EPL unless you already do?


    • Emiraten
      Emiraten

      I’m fairly new in here, but I have a semi-erotic relationship to my Excel sheets, so I suspect a similar fling is about to evolve to the stats section in here… :-)

      If I come across anything interesting i just might do!

      Thanks for the encouragement!


  9. Jonny Grossmark

    I have always said no need to look back years to find an edge. I always get advised that ” your sample size is too small”.

    But the trend is your friend.


    • Emiraten
      Emiraten

      They are wrong, at least to a certain extent.

      The amount of statistical “noise” and randomness provided by the lower half teams of PL will likely ruin most attempts of putting together long-term stats that have alot of R2 in it.

      However, the top half of the league is fairly consistent (7 teams have been in the top ten every season since 08/09, and only a total of 15 teams made it to the upper half in this period).

      Both these things are worth a study. In fact I’m gonna dig into it now… :-)

      And being a gooner, right now the trend is my enemy… ;-)


      • Statto

        Ah I see you are a subscriber already Emiraten – therefore you already have access to the stats and can write at your leisure with no pressure to provide weekly analysis. You don’t even ever have to – it’s just an added extra for subscribers!


  10. Jonny Grossmark

    Dixon beat me in the Everton game today. At 0-1 HT i was confident of 0-1, 1-1 FT and did see some of the second half. Sunderland sitting back and Everton not passing well and at 1-1 I am thinking little expectation of further goals and another quick one.

    “get my coat time”


  11. Jonny Grossmark

    Man Utd losing 1-0 Ht at Villa so they need to break a 21/21 not winning trend this season when 1-0 down ht. They are 3.3 and this is the worst value ever even if they win.

    You would want around 20/1 I am serious.


  12. Greynight

    I think you can use hypothesis tests to test if ‘the small sample size’ is a real problem.


  13. Jonny Grossmark

    Over the next 10 years I am confident the data will remain at 15% Home wins…

    In Prem Away team losing 1-0 Ht and the trend has got stronger … historically 6% winning away in prem when losing 1-0 away ht and this is down to around 4% with just 1 win so far this season in the shape of Man UTD.


  14. Jonny Grossmark

    Sample size is a ‘Myth” …



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