If there's no fraud, the win rate should be the same on deals that had
been played before, as on those that have not been played before.

You have wins/losses on previously-played games, and wins/losses on
new games. Those are the ratios you're testing.

On Sat, Apr 28, 2012 at 7:09 PM, Frank Scholten <[email protected]> wrote:
> I have a question about computing the loglikelihood scores for this problem.
>
> In bridge, deals are reused inside a tournament.
>
> I can see how to figure out which players play more against a specific
> partner than others. In this case N equals the number of deals, k11
> from the loglikelihood contingency table equals the number of deals
> played by players A and B, k12 deals played by A but not by B, and so
> on.
>
> What I really want is to figure out which players have a lot of wins
> from deals that were played by others at the same time or in the past.
> The reasoning is that players who have wins only when someone else has
> played this deal before are suspect.
>
> However how do I account for this temporal aspect, 'number of won
> deals which were played before by player X' into the loglikelihood
> counts? It seems I have several subsets, like wins and losses, wins
> before a certain time and so on.
>
> I am not sure how to work these factors into a loglikelihood ratio
> test. Perhaps there is a different, more suitable method for this type
> of problem?
>
> Cheers,
>
> Frank

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