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Subject: Re: Who is better? Some statistics...

Author: Andrew Dados

Date: 10:50:58 06/11/01

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On June 11, 2001 at 05:08:00, Gian-Carlo Pascutto wrote:

>Hi all,
>
>In line of some of the results posted here, I'd like to
>make some people aware of the existance of the 'Whoisbetter'
>utility.
>
>It is a program by Steve Maughan (http://home.clara.net/maughan/)
>that can aid you in determining whether a certain result has
>any statistical meaning.
>
>It's a bit unfortunate there is little explication of the used
>mathematics :( It only says it is based on the binominal distriubtion.
>If anyone has an idea on how it could work, please post, as
>I will begin working on a similar program but based on other
>mathematics soon.
>

You may try to treat one chess game as two connected binomial events - this
model introduces draw scores nicely.

However it also reduces 'played games' in your table by 2, so in fact 7-3
becomes a valid 'required score'.

This due to fact that now one game score carries more information (as it should)
then win-loss.

-Andrew-


>A little table for those who can't run Windows programs:
>The winning program must at least have the 'required' score
>to be able to say it is better with standard statistical
>significancy.
>
>Played games        Required score
>-----------------------------------
>    5                    5 -  0
>   10                    8 -  2
>   15                   11 -  4
>   20                   14 -  6
>   30                   20 - 10
>   50                   31 - 19
>  100                   59 - 41
>  200                  113 - 89
>
>So for example, if you play a match between 2 programs and
>one scores 7-3, you _can't_ say that the winner is stronger.
>
>Well, you can, but there are people that are selling rings that
>make you live forever, which are proven to work based on the
>same kind of highly reliable science.
>
>--
>GCP




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