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Subject: Re: Statistical data about draws and rating differences

Author: Walter Koroljow

Date: 15:41:45 02/04/01

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On February 04, 2001 at 14:16:19, Vincent Diepeveen wrote:

>On February 04, 2001 at 14:11:19, Hermano Ecuadoriano wrote:
>
>>On February 04, 2001 at 13:58:11, Andrew Dados wrote:
>>
>>>
>>>I decided to find out 'true chance' of draw outcome from real games.
>>>The below is summarized output from my twic game files.
>>>Rdiff means difference of players ratings in the (range, range+25).
>>>Integrestingly around range of 0 draws approaches 50% and better won about 25%.
>>>
>>>Now if you take 2 tosses of coin you'll get total score of 2 heads in 25%, 1
>>>head in 50% and 0 heads in 25%...
>>>
>>>
>>> files: 176      games: 170464   decisive (counted) : 128803
>>>
>>>Rdiff+  games   %draws  %better won
>>>=======================================
>>>0       14480   48.82   25.67
>>>25      15365   46.57   31.45
>>>50      15784   44.60   35.52
>>>75      15429   41.80   39.62
>>>100     14092   38.68   44.26
>>>125     12121   35.08   49.18
>>>150     9926    31.92   54.47
>>>175     8129    28.34   58.89
>>>200     6478    25.39   63.71
>>>225     4707    22.82   67.94
>>>250     3443    20.65   69.82
>>>275     2575    18.45   73.67
>>>300     1879    15.59   77.38
>>>325     1370    15.62   78.83
>>>350     970     10.52   85.46
>>>375     687     9.32    86.90
>>>400     453     7.06    89.18
>>>
>>>Is one chess game statistically equivalent of 2 coin tosses? :)
>>>
>>>-Andrew-
>>
>>This is good data to look at.
>>But you need another dimension: either rating mean, or the rating of the
>>higher rated player. I suggest the mean.
>>Then, having a table like the above for every rating level, somebody can
>>curve-fit the thing.
>>
>>These databases are something else that ELO didn't have.
>
>Exactly, there is a big difference from below 2000 and above 2000
>as K factor gets for FIDE rating from 25 down to 15 down to 10.
>
>Nevertheless good work from Andrew!!

I also agree.

But thank you for great data.

What are "twic files"?  Is this all human data?

Cheers,

Walter



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