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Subject: Re: Could someone calculate these odds?

Author: Dann Corbit

Date: 11:26:01 06/21/99

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On June 21, 1999 at 14:20:57, James Robertson wrote:

>On June 21, 1999 at 13:48:03, Dann Corbit wrote:
>
>>On June 21, 1999 at 13:44:38, James Robertson wrote:
>>
>>>Could someone please calculate the odds that the 4 non-supercomputers would
>>>score an even result with these 4 GMs? If the computers are just barely GM
>>>strength (2500) and the humans are fairly strong GMs (2600), the humans should
>>>score 64% on average. If the computers are rated 2450, the GMs should score 70%,
>>>and the humans should score 75% against 2400 players.
>>>
>>>But the computers had white in 3 games, and white scores 60% against black. If
>>>the odds were calculated, I'll bet it would be something like the computers have
>>>a 35% chance of scoring the result we saw.
>>With the number of games played, the uncertainty is so high that I do not think
>>you can provide a reasonable calculation.  Look at how many games the SSDF plays
>>before they even post a result.  There is a *reason* for that.
>
>I know, if we are trying to do some sort of confidence interval. But these
>percentages are _established_. IE if we flip a previously unflipped coin, we
>still are able to predict the odds that we will get heads. Anand has never
>played Morozevich, but because of their ratings we can predict Anand's
>probability of success.
>
>It should be possible to do that here.
Sure, but with Anand and Morozevich there are *thousands* of games against rated
opponents.  Here we have 7 games per program.  Quite frankly, we can't say
anything with certainty about how strong any of them are.  Perhaps you could say
that the ELO of the programs is 2600 +/- 2000.  How's that?



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