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Subject: Re: ELO distribution calculation

Author: martin fierz

Date: 07:18:18 08/28/01

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On August 28, 2001 at 02:10:56, Steve Maughan wrote:

>How do you calculate the probability distribution of 'A' beating 'B' given their
>ELOs?  I assume that it's some form of cumulative normal distribution but what
>would be the standard deviation?
>
>All help appreciated!
>
>Steve

actually, you cant calculate the requested probability, only some kind of
average result. like 120 elo more is roughly 66% winning probability, but you
dont yet know if this will translate into 2 wins and one loss or 1 win and two
draws, so you dont have an answer to the exact question you posed.
however, if the above is good enough, yes, it is a cumulative normal
distribution, with a standard deviation of 200 if i recall that right. at least
thats the way the swiss rating list is calculated, but i suppose that number
should be that same for all rating lists :-)

cheers
  martin



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