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Subject: Re: Statistical data about draws and rating differences

Author: Vincent Diepeveen

Date: 11:16:19 02/04/01

Go up one level in this thread


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!!





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