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I'm, trying to adapt something like http://en.wikipedia.org/wiki/Statistical_association_football_predictions to 2v2 foosball games at our office.

For football, they basically have an offense score and a defense score for each time. The game is a fixed length of time. They then use poisson regression based on the scoring history to try to find out each teams offensive/defensive values.

The problem is different for foosball, and I think poisson may not be the correct distribution to use. For the following reasons:

  1. We play first to 10 points, not for a fixed length of time
  2. Players switch positions after their team scores 5 points

Can anyone recommend a better distribution or a way of approaching the problem. We don't need a 100% optimal solution, but we are aiming for something that is reasonably ok.

Bonus points for ideas on how to split the offense/defense ratings among the players.

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Here is a very similar recent question. – cardinal Oct 19 '11 at 8:57
When thinking about the other question, I sketched out a scheme for a model of playing to a set number of points, but I never posted it to that question. I ended up with a curved exponential family, which had some similarities to a generalized linear model. If you would like to see that, I can try to dig out those notes and post it. – cardinal Oct 19 '11 at 9:00

1 Answer

Here is a link explaining how ELO rankings are used in an actual foosball league. It goes into quite a lot of depth.

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The Elo rating system is named after Arpad Elo, and therefore isn't capitalized all the way through. – Martin O'Leary Mar 21 '12 at 1:19

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