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Subject: Re: How do I compute an unrated program's rating after a series matche

Author: Odd Gunnar Malin

Date: 08:53:26 03/18/05

Go up one level in this thread


On March 18, 2005 at 09:08:33, Mathieu Pagé wrote:

>On March 18, 2005 at 07:01:57, Odd Gunnar Malin wrote:
>
>>On March 18, 2005 at 05:04:18, Tony Hedlund wrote:
>>
>>>On March 18, 2005 at 00:35:00, emerson tan wrote:
>>>
>>>>On March 18, 2005 at 00:27:04, emerson tan wrote:
>>>>
>>>>>I want to know the rating of Frizt 5.32 on Athlon 1200Mhz, so I run a series of
>>>>>matches with programs that have established ratings.
>>>>>
>>>>>Supposed Fritz 5.32 scored from the following matches:
>>>>>
>>>>>Junior 8.0       elo 2782   14.5 - 5.5     Fritz 5.32
>>>>>Shredder 7.0     elo 2772   12.0 - 8.0     Fritz 5.32
>>>>>Deep Frizt 8.0   elo 2790   16.0 - 4.0     Fritz 5.32
>>>>>Chess Tiger 14.0 elo 2719   11.5 - 8.5     Frizt 5.32
>>>>>Hiarcs 9.0       elo 2747   13.5 - 6.5     Frizt 5.32
>>>>>
>>>>>How do I compute the elo of Fritz 5.32 ?
>>>>>
>>>>>Thanks
>>>>
>>>>
>>>>I can only see some plus or minus from its matches but no elo rating.
>>>
>>>average elo+  400*(won-lost)/games
>>>
>>>2762+ 400*(32.5-67.5)/100
>>>
>>>2762-140 = 2622
>>>
>>>Tony
>>
>>Hi.
>>
>>Your formula are correct for unrated players but do you have the correct formula
>>to calculate performans for rated players.
>>
>>First I used this approx:
>>
>>score=points/games
>>average=average of opponents rating.
>>
>>perf=(average-400*log10((1.0-score)/score)
>>
>>This gives maybe correct performance rating around 50% score but as soon as you
>>go a bit away the error get bigger.
>>
>>Then I tried from Excel with this:
>>perf=average+NORMSINV(score)*ROT(2)*200
>>This gives a much better result and the error is only when the score get close
>>to 100% (or 0%)
>>
>>It kind of hard for me to remember all these math, it have been 26 years since I
>>left the school so I'm luck if I even remember correct the names like standard
>>deviation, standard distribution etc. so if you or other have a table with this
>>calculated out with 3 decimals (0.001, 0.002 ...) for the score it would have
>>been nice.
>>I will create this table myself with the help of the table for 2 decimals (from
>>Fide or elsewhere) and use the excel formula to find the in between numbers.
>>
>>What the usage?
>>I have written a program to post results/tables to the internet (add result plus
>>one click and it on the net) that we have been using in tournaments for live
>>coverage the last 3-4 years.
>>I use the formula with log10 now, but someone may check the program with
>>tournamentresults found at Twic etc. and see that the performance isn't
>>calculated correct. So instead of calculate the result I will change it to look
>>up the numbers from a table
>>
>>Odd Gunnar
>
>
>Hello Odd,
>
>http://en.wikipedia.org/wiki/ELO_rating_system
>
>MP.

Hi, thanks for the link. Much interesting there.

But, it suggest my alghorithm above (log10) as correct. This doesn't match with
this table on the FIDE site:
http://www.fide.com/official/handbook.asp?level=B0210

What a player do to find his performance is to just calculate his score/games
and go into the table to lookup the number.

Some differences:

Score Fide log10
--------------------
0.9    366  362
0.8    240  238
0.7    140  148
0.6     72   72

Programmicaly its just as easy to use a lookuptable as calculate. 1000 integers
(3 decimal on score) is only 4Kb memory usage (half with words).

Odd Gunnar



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