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

Author: Ricardo Gibert

Date: 07:52:02 02/26/05

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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.

>
>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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