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Subject: Re: Some stats...

Author: Christophe Theron

Date: 17:37:02 01/23/04

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On January 23, 2004 at 14:31:59, Bob Durrett wrote:

>On January 23, 2004 at 14:20:43, Christophe Theron wrote:
>
>>On January 23, 2004 at 07:08:07, Kolss wrote:
>>
>>>On January 22, 2004 at 12:53:16, Christophe Theron wrote:
>>>
>>>>On January 21, 2004 at 20:00:12, Kolss wrote:
>>>>
>>>>>Hi,
>>>>>
>>>>>How many games you need depends on what you want to show, of course... :-)
>>>>>If my calculations are correct, I get the following:
>>>>>
>>>>>Shredder 8 vs. Shredder 7.04:
>>>>>
>>>>>+90 -65 =145
>>>>>
>>>>>=> 162.5 - 137.5
>>>>>
>>>>>=> 54.17 %
>>>>>
>>>>>=>
>>>>>Elo difference = +29
>>>>>95 % confidence interval: [+1, +58]
>>>>>
>>>>>That means that based on this 300-game match (for this particular time control
>>>>>on this particular computer with these particular settings etc.), your best
>>>>>guess is that S8 is 29 Elo points better than S7.04 (highest likelihood for that
>>>>>value); there is a 95 % chance that S8 is between 1 and 58 Elo points better;
>>>>>and the likelihood that S8 is (at least 1 Elo point) better than S7.04 is 97.5
>>>>>%.
>>>>>
>>>>>So if you "only" want to show that S8 is better, you can - statistically
>>>>>speaking - stop now. If you want to "prove" that it is more than 20 Elo points
>>>>>better, you need a few more games indeed...
>>>>>
>>>>>Best regards - Munjong.
>>>>
>>>>
>>>>
>>>>It's great to see that at least one guy is able to correctly interpret match
>>>>results here.
>>>>
>>>>I hope you will post more often on this subject. Information on it is very much
>>>>needed here.
>>>
>>>Well, as my former English teacher used to say:
>>>
>>>"I'm talking to the trees - but they aren't listening to me..." :-)
>>>
>>>I guess some people just don't bother trying to consult a *basic* statistics
>>>book before jumping on you... ;-)
>>>
>>>Best regards - Munjong.
>>
>>
>>
>>Please don't leave the forum and help me educate people! :)
>>
>>Actually people do not need to understand all the maths behind the stats (I
>>don't myself), but just to understand a few basics. For example that a 10 games
>>match tells mostly nothing.
>>
>>
>>
>>    Christophe
>
>Imagine yourself playing a 10 game rated match against one of your peers
>[someone who sneers and blows smoke in your face] and suppose you lost all ten
>games?  You would then think the match meant a lot!  One step away from that
>would be when the match were played between your chess program and someone
>else's.  Your program would be your "pride and joy" and would, in effect, be
>your surrogate.  I imagine that it would be hard to accept the idea that a ten
>game loss would be insignificant.  It's great to be able to stand back and see
>things objectively, of course.  Generally, I feel that SOME information is
>provided by every tournament or match no matter how few games are played.  I
>agree in principle, however, that a 5 1/2 to 4 1/2 result in a ten game match
>would offer little insight into the current playing strengths of the players.
>
>Bob D.



Your last sentence is what I had in mind. 5.5-4.5 as we see so often is not a
result that allow us to decide which program is better. Even 6.5-3.5 does not
allow it. And that's what we see all the time, even between programs that are
supposed to be of very different strength.

So for all practical cases here, a 10 games match is not something I would
consider interesting.

Of course it can be interesting to replay the games, but for different reasons.



    Christophe



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