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Subject: Re: CM4000 wins a match against a uscf 2280!

Author: Richard A. Fowell (fowell@netcom.com)

Date: 17:45:36 11/29/98

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On November 29, 1998 at 20:21:50, odell hall wrote:

>Hi CCC
>
> I recently completed a six game match between Chessmaster 4000 running on a
>pent 233 16meb and a USCF 2280 rated master. The games were played at a time
>control of Game in 60. Chessmaster won the match Convincingly with a score of 4
>1/2 to 1 1/2. What type of rating would this give chessmaster based on this
>match alone?

For a 4 1/2 - 1 1/2 match against a 2280 player: 2480 with a +/- 245
uncertainty at the 95% confidence level.

Calculation as follows:

Tournament performance rating:
  (based on formula approximation to rating curve)
take the number of points difference in score:
   4.5 - 1.5 = 3.0
Multiply by 16 points
   3.0 * 16 = 48 points
Then by 25 points
   48 * 25 = 1200 points
divide by the number of games
   1200 / 6 = 200 points
Add to the opponent's rating
   2280 + 200 = 2480.
------------------
95% confidence level (this is pretty simplistic - I'm just scaling from
observations of SSDF posted confidence levels)

Take number of games, divide into 100, take square root, multiply by 60:
 sqrt(100/6)*60 = 245 points.

Richard A. Fowell



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