Author: Uri Blass
Date: 21:13:39 01/22/01
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On January 22, 2001 at 17:53:10, Paulo Soares wrote: >Jeff Lischer taught me the standard formula for the >win expectancy (We) for a program x to win a >program y, below placed: > >We = 1/(1 + 10^((delta rating)/400)) >where (delta rating) = rating y - rating x > >I remember another formula that considered a certain error >margin. I am almost sure that that formula was already shown >here several times for some people, perhaps Dann Corbitt, >Bruce Moreland or Uri Blass? >Does anybody remember that other formula? > >Thanks in avdanced, > >Paulo Soares, from Brazil I remember that I posted another formula to calculate the difference in rating based on the result. The linear formula is only approximation and is of course wrong when the difference between the players is very big(more than 400) because it assumes expectency of 1/2+difference/800 to win and if difference/800>1/2 it is more than 1. Assume that a program with rating x has W wins D draws and L losses against program with rating y then the linear formula is: x-y=400*(W-L)/(W+D+L) If you want expectancy when you have rating then it is easy to get: expectency=(x-y)/800+1/2 Uri
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