Author: Rémi Coulom

Date: 09:52:27 02/14/05

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On February 14, 2005 at 10:40:30, Steve Maughan wrote: >Remi, > >Interesting and cool - I really like the matrix view. Could you explain at a >reasonably high level the theory behind this approach? > >Thanks, > >Steve The theory is explained on the page (http://remi.coulom.free.fr/Bayesian-Elo/), and in the links that are at the bottom of the page. If you found it too detailed or too complicated, I would be glad to explain more. But you'll have to tell me first what you do not understand. Do you understand Bayesian inference ? Do you know what is a likelihood distribution and a conditional probability ? Do you know what is a Gaussian, a covariance matrix, a Hessian matrix ? Do you understand how ELOStat works ? In practice, the most important differences between my tool and ELOStat are: - The estimation of ratings is based on a more sound statistical method (well, this may be open to debate, but I am deeply convinced of it) - bayeselo takes the advantage of playing white into consideration, whereas ELOStat does not. - bayeselo is able to deal correctly with tricky situations, such as: A plays many games against B, C plays many games against D, and B plays only one game against C. An example is given there: http://wbforum.volker-pittlik.name/viewtopic.php?p=7614#7614 Rémi

- Re: bayeselo: new Elo-rating tool, applied to CCT7
**Steve Maughan***12:06:56 02/14/05*

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