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Subject: Re: Statistical Study of Chess Results - Part 2

Author: Ricardo Gibert

Date: 08:31:23 02/26/05

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On February 26, 2005 at 10:52:02, Ricardo Gibert wrote:

>On February 26, 2005 at 09:28:01, Norm Pollock wrote:
>
>>I now have the tools I needed to redo this study and do it with more control
>>over relative elo values. Elo differences are not an issue with this new
>>database.
>>
>>This new database consists of 63,687 long time-control human-human games, all
>>with elo ratings for both players, both players 2300+, dates of games from Jan
>>01, 1991 to Dec 26,2004.
>>
>>The maximum elo-distance between the players in any game is 50 elo points. The
>>average elo-distance in each sample is 25 elo points. The average elos for white
>>and for black differ by less than 0.5 of an elo point.
>
>A nice complement to this <= 50 elo stats would be to contrast it with > 50 elo
>stats.
>
>BTW, thanks for your efforts. This is all quite interesting.
>

It would also be interesting to do this type of study on individual players. For
example, contrasting such stats on say Karpov with perhaps Tal.

>>
>>With this controlled database, the results are slightly different than before.
>>There is a small trend towards equalization as the games get longer. However
>>white still holds a commanding advantage over black, whether it is in games of
>>41+ plies, or 161+ plies. Over that range, white's winning percentage in
>>non-drawn games steadily declines at a slow rate from 59.7% to 56.7%. Likewise
>>the white score decreases from 55.7% to 53.5%. The prior database did not detect
>>this trend. However black does not achieve equality through length.
>>
>>As a side note, I expect computer games to show different results than
>>human-human games. Computers do not play for draws, which humans do on
>>occassion, especially if they are playing the black pieces. Computers do not get
>>tired and are not intimidated by very long drawn out equal positions. They still
>>go for the win and invariably only draw if the draw is forced. Anyway, that is
>>for a different study someday when I can find a computer-computer database with
>>accurate elo values.
>>
>>I wish I could paste my excel spreadsheet, but the formatting gets messed up
>>here. So I will state the results methodically:
>>
>>Plies >= 41
>>Games: 63687 (100.00%)
>>Average White Elo: 2478.42
>>Average Black Elo: 2477.96
>>Average Elo Distance: 25.38
>>White Wins: 22228 (34.9%)
>>Draws: 26441 (41.5%)
>>Black Wins: 15018 (23.6%)
>>White Score: 55.7%
>>Black Score: 44.3%
>>Non-Drawn Games: 37246
>>White Win percent in Non-Drawn Games: 59.7%
>>
>>Plies >= 61
>>Games: 50383 (79.11%)
>>Average White Elo: 2476.91
>>Average Black Elo: 2476.49
>>Average Elo Distance: 25.35
>>White Wins: 18888 (37.5%)
>>Draws: 18441 (36.6%)
>>Black Wins: 13054 (25.9%)
>>White Score: 55.8%
>>Black Score: 44.2%
>>Non-Drawn Games: 31942
>>White Win percent in Non-Drawn Games: 59.1%
>>
>>Plies >= 81
>>Games: 32476 (50.99%)
>>Average White Elo: 2477.66
>>Average Black Elo: 2477.37
>>Average Elo Distance: 25.41
>>White Wins: 11728 (36.1%)
>>Draws: 12522 (38.6%)
>>Black Wins: 8226 (25.3%)
>>White Score: 55.4%
>>Black Score: 44.6%
>>Non-Drawn Games: 19954
>>White Win percent in Non-Drawn Games: 58.8%
>>
>>Plies >= 101
>>Games: 17198 (27.00%)
>>Average White Elo: 2477.51
>>Average Black Elo: 2477.32
>>Average Elo Distance: 25.41
>>White Wins: 6063 (35.3%)
>>Draws: 6735 (39.2%)
>>Black Wins: 4400 (25.6%)
>>White Score: 54.8%
>>Black Score: 45.2%
>>Non-Drawn Games: 10463
>>White Win percent in Non-Drawn Games: 57.9%
>>
>>Plies >= 121
>>Games: 8158 (12.81%)
>>Average White Elo: 2479.62
>>Average Black Elo: 2479.48
>>Average Elo Distance: 25.38
>>White Wins: 2774 (34.0%)
>>Draws: 3366 (41.3%)
>>Black Wins: 2018 (24.7%)
>>White Score: 54.6%
>>Black Score: 45.4%
>>Non-Drawn Games: 4792
>>White Win percent in Non-Drawn Games: 57.9%
>>
>>Plies >= 141
>>Games: 3484 (5.47%)
>>Average White Elo: 2477.20
>>Average Black Elo: 2476.76
>>Average Elo Distance: 25.20
>>White Wins: 1121 (32.2%)
>>Draws: 1522 (43.7%)
>>Black Wins: 841 (24.1%)
>>White Score: 54.0%
>>Black Score: 46.0%
>>Non-Drawn Games: 1962
>>White Win percent in Non-Drawn Games: 57.1%
>>
>>Plies >= 161
>>Games: 1469 (2.31%)
>>Average White Elo: 2483.07
>>Average Black Elo: 2482.44
>>Average Elo Distance: 25.19
>>White Wins: 440 (30.0%)
>>Draws: 693 (47.2%)
>>Black Wins: 336 (22.9%)
>>White Score: 53.5%
>>Black Score: 46.5%
>>Non-Drawn Games: 776
>>White Win percent in Non-Drawn Games: 56.7%



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