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

Author: Gian-Carlo Pascutto

Date: 14:12:07 06/11/01

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On June 11, 2001 at 16:22:02, Leen Ammeraal wrote:

>On June 11, 2001 at 13:55:31, Gian-Carlo Pascutto wrote:
>>
>>10 - 5 -  0 -> 89,4% chance that A is better
>>8  - 3 -  4 -> 92,7% chance
>>
>>>Would that be discutable, you think?
>>
>>Appearently it is, as it gives different results.
>>
>
>On second thoughts this seems nonsense to me.
>By the way, the probability my program computes is
>15.1%, or in your terminology, 100 - 15.1 = 84.9%.
>
>Consider the simpler example of these two matches:
>
>1   -  0            1  -  0
>1/2 - 1/2           1  -  0
>1/2 - 1/2           0  -  1
>--------------------------- +
> 2  -  1            2  -  1
>
>If I were player A, I would be glad with
>this score 2 - 1, regardless of which
>match applied. Do you still think diffently?

Yes. It seems logical to me that a result of 8-3-4
gives more information than one that is (possibly)
truncated to 10-5.

To turn your example around, the real question
is whether you like 1 0 2 better than 2 1 0 (W-L-D).

For the player it may be equal, but for determining
the probabilty it does not have to be.

--
GCP



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