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Subject: Re:Congrats to de Koenig? But why, pray tell - NONSENSE

Author: Dann Corbit

Date: 23:41:52 07/25/03

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On July 26, 2003 at 00:55:19, Dana Turnmire wrote:

>"Some people say that they can watch a single move by a program and judge how
>strong it is.  I'm not one of those people."
>
>Maybe not a single move but how about a much weaker program such as an old
>dedicated unit playing against one of the top programs on a current PC.  Would
>one really have to play 100 games or even 20 games to know which program really
>is the strongest?  Where can the line be drawn?

Mathematics can draw the line for you.

After "k" number of games, you can have a certainty of some number.  If the
number is good enough for you then stop there.

With the SSDF list (for instance)
  Rating + - Games Won Av.opp
1 Shredder 7.04 UCI 256MB Athlon 1200 MHz  2810 37 -34 465 76% 2607
2 Shredder 7.0 256MB Athlon 1200 MHz  2770 27 -25 801 70% 2622
3 Fritz 8.0 256MB Athlon 1200 MHz  2762 26 -25 821 68% 2627
4 Deep Fritz 7.0 256MB Athlon 1200 MHz  2761 28 -27 694 69% 2622
5 Fritz 7.0 256MB Athlon 1200 MHz  2742 30 -29 574 64% 2637
6 Shredder 6.0 Pad UCI 256MB Athlon 1200  2724 23 -22 991 63% 2634
7 Shredder 6.0 256MB Athlon 1200 MHz  2721 31 -30 547 62% 2632
8 Chess Tiger 15.0 256MB Athlon 1200 MHz  2720 26 -25 784 61% 2641
9 Shredder 7.0 UCI 128MB K6-2 450 MHz  2717 46 -43 258 63% 2624
9 Chess Tiger 14.0 CB 256MB Athlon 1200  2717 30 -30 557 61% 2638
11 Deep Fritz 256MB Athlon 1200 MHz  2715 30 -29 571 61% 2639
12 Gambit Tiger 2.0 256MB Athlon 1200  2712 29 -29 583 58% 2653
13 Junior 7.0 256MB Athlon 1200 MHz  2697 25 -25 761 55% 2663
14 Hiarcs 8.0 256MB Athlon 1200 MHz  2682 23 -23 952 53% 2659
15 Rebel Century 4.0 256MB Athlon 1200 MHz  2675 29 -29 590 60% 2604

We know that Shredder 7.04 is stronger than Rebel Century 4, since 2675+29=2704
and 2810-34=2776.  Hence, we can say with 97% accuracy that Shredder 7.04 is
probably stronger than Rebel Centrury 4 (on that particular hardware and under
those particular conditions).

However, we cannot know if Shredder 7.04 is really stronger than Chess Tiger 15.
The error bars overlap, and so we are left without a decision.

You are (of course) free to guess which one is stronger.



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