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Subject: Re: Fritz 7 - Junior 7, Another comeback

Author: Uri Blass

Date: 22:34:28 11/16/01

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On November 17, 2001 at 00:25:14, Ed Schröder wrote:

>On November 16, 2001 at 19:12:59, Christophe Theron wrote:
>
>>On November 16, 2001 at 16:20:45, Hansjoerg wrote:
>>
>>>Some time ago I posted the (surprising) result from an engine tournament between
>>>Fritz 7 and Junior 7 (14.5-4.5).
>>>Now I finished 100 games and the result is F7 (49.5) - J7 (50.5)!
>>
>>
>>
>>Welcome to the world of statistics!
>>
>>
>>
>>    Christophe
>
>
>Yep, ask any casino director where his profit comes from :)
>
>I once have written a 10-line C program, it randomly generates a score
>(1-0, 1/2-1/2, 0-1) and then starts counting. Results vary tremendously.
<snipped>
>100 games: 70-30

I understand your idea but
70-30 between equal programs does not make sense.
The probability for it between equal players is very low(I did not calculate but
I am sure that less than 0.1%).

The variance in one game is 1/6 and it means the variance in 100 games is 100/6
and it means the standard deviation in 100 games is less than 4.1

being almost 5 standrad deviation give a very small probability and I am sure
that it is less than 0.1% and I believe that it is even less than 0.01%

If you get 70-30 in a match of 100 games you can be practically sure that the
winner is better.

Uri



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