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Subject: Re: Looking for some statistics

Author: Komputer Korner

Date: 20:03:08 10/19/98

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On October 17, 1998 at 11:30:38, Jari Huikari wrote:

>
>Could anyone of you find following statistics from a large amount of
>chess games? (E.g. from FICS or some Computer-Computer events...)
>
>-How often white/black checkmates the opponent?
>-How often either side resigns?
>-How often stalemates occurr?
>-How often the game is otherwise drawn?
>(mutual agreement, 3. repetitions, insufficient material, 50 moves rule)
>
>        Thanks!
>                                        Jari


Out of Knut Neven's Research Base of 1270187 games:
Checkmates= 6%
Resignations= 63.26%
Draws of all kinds= 30.74%
Stalemates= 0.05%
Other draws=30.69%


Some bases may have more draws, but in my base I deleted a lot of
repeat short draws that may actually have been between different
draws, but it wasn't more than 20,000 or so of those so that can't be
the reason. The actual reason is that GM vs GM games are less than
100,000 of the total so the so called GM draw is less prevalent among
lower rated players even though  Knut's base quality of the opponents
is high enough to average 2445 of the players in the base that were
given a rating in the game header.  This obviously is skewed because
almost all of the lower rated players in the base wouldn't have been
given a rating in the game header. So the bottom line is that it is
impossible to know exactly unless one was to manually look up the rating of
every player in the base and this is something no one will ever do. However
there is a way. We know that  players at 1000 ELO against each other draw
less than 5% of the time and this draw % would increase  until
at the 2800 level players draw nearly 80% of the time against each
other.   So I  guess some tests could be made to get the exact
equation  but I don't have time to do this. I would guess that Knut's
base based on the draw % would probably average about 2300 ELO.  From
looking at the numbers with some quick calculations which are by no
means accurate, I come up with a hasty formula  where
% draws = (absolute value of (ELO/80))^1.11 note that this is changed from the
erroneous equation I presented on RGCC.
If we can get this formula accurate then we can always calculate the
average ELO of a DB based on it's draw %.

--
Komputer Korner



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