Author: blass uri
Date: 03:20:17 01/17/00
Go up one level in this thread
On January 17, 2000 at 04:29:06, Frank Schubert wrote: >On January 16, 2000 at 18:15:36, Amir Ban wrote: > >>On January 16, 2000 at 17:50:33, Frank Schubert wrote: >> >>>...after 160 games. I added the result of Shredder - Century 13.5 - 6.5 >>>(+11,=5,-4). >>>Here is the new Elo rating list (the old values are given in parentheses). >>>Again Elo calculation was performed by iteration procedure (start Elo 2600). >>> >>> >>> Program Elo (old) + - Games Score Av.Op. Draws >>> >>> 1 Junior 6.0 : 2676 (2665) 101 74 40 60.00 % 2604 45.0 % >>> 2 Fritz 6a : 2645 (2641) 96 86 40 63.75 % 2546 37.5 % >>> 3 Hiarcs 7.32 : 2624 (2615) 111 75 40 52.55 % 2606 40.0 % >>> 4 Shredder 4 : 2610 (2597) 90 66 60 51.67 % 2597 33.3 % >>> 5 Rebel-Tiger 12.0e : 2603 (2598) 106 59 40 56.25 % 2558 57.5 % >>> 6 Nimzo 7.32 : 2599 (2592) 76 102 40 41.25 % 2660 42.5 % >>> 7 Century : 2493 (2493) 73 73 60 32.50 % 2619 38.3 % >>> >>> >>>It is interesting to see that Century's rating did not change. Its Av.Op. is >>>also still the same. Therefore the result against Shredder fits very well with >>>Century's results before. Shredder increased its rating by 13 points up to 2610. >>>Due to the interdependencies of the iteration procedure the ratings of Shredders >>>opponents are also higher than before. And the ratings of the opponents of >>>Shredders opponents also increased. Hope I am not confusing you too much but >>>that's the way it works. You can simply check that the weighted average of all >>>ratings (weighted by the number of games) is still the same than it was before, >>>namely 2600. >> >>It's easy to see that this is not true. 6 ratings increased, and one stayed the >>same, so the average increased. >> >>Amir >> > >You have to take the weighted average as I tried to explain above. Consider that >Shredder and Century played 60 games now, the other programs still 40. The weighted average have to increase if all the numbers increase. for example if x is the same and y,z increased then 0.5x+0.3y+0.2z increased The weights are not 0.5 0.3 and 0.2 but it does not change the simple mathematical fact. Uri
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