Author: Frank Schubert
Date: 04:33:55 01/17/00
Go up one level in this thread
On January 17, 2000 at 06:20:17, blass uri wrote: >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. > No, you're wrong. The important point is that the WEIGHTS changed. Let's calculate: (2676 x 40 + 2645 x 40 + 2624 x 40 + 2610 x 60 + 2603 x 40 + 2599 x 40 + 2493 x 60)/160 = 5200.xxx Additionally you have to divide it by 2 in order to avoid counting each game twice. The result is 2600. Q.E.D. Frank
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