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Subject: Re: help needed about elo calculation

Author: Frank Schubert

Date: 03:08:07 03/02/00

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On March 01, 2000 at 13:41:46, Andrew Dados wrote:

>On March 01, 2000 at 06:31:01, Frank Schubert wrote:
>
>>On February 29, 2000 at 13:20:35, Masciulli Gianluigi wrote:
>>
>>>On February 29, 2000 at 12:48:07, Tony Hedlund wrote:
>>>
>>>>On February 29, 2000 at 09:52:06, Masciulli Gianluigi wrote:
>>>>
>>>>tscp15's 90.2% against 1700 = 2062
>>>>fortress161's 96.9% against 1700 = 2232
>>>>golem01's 0% against 1700 is < 1000
>>>>fortress16's 58.8% against tscp15 indicates a difference with 64 points,
>>>>2179-2115.
>>>
>>>thanks tony for your answer.
>>>
>>>ok ... that's the easy part but ...
>>>you see you listed frotress TWICE with perf. 2232 and 2179-2115.
>>>I need the global performance.
>>>
>>>>
>>>>>One more: I'd like to have extimes about probability that performances match the
>>>>>true elo on the base of games played (ssdf Like)... any matematician out there?
>>>>
>>>>This question I do not understand, sorry.
>>>
>>>I'll try to explay this better:
>>>
>>>if I play 1 billion game and the result between prog.A (elo ??)  and Prog.B ..
>>>prog.C prog.D  (and all  have elo 2000) is esactly 50%
>>>I can say that the elo of  prog A in that set of programs is almost esactly
>>>2000.
>>>but what about the same result after only 50 games.
>>>may be there is some difference between elo and perf. in this case.
>>>may be i can say, in this case that the  elo of the program A is 2000 with an
>>>error margin of 50 point (in other words there is probability .9 that the true
>>>elo is within the range 1950 -> 2050).
>>>I want to calc the error margin.
>>>I hope is clear now.
>>>
>>>gianluigi
>>
>>
>>Hi,
>>
>>in a few days you can download my program ELOStat which was used to calculate
>>the statistics of the CadaquƩs tourney (look at
>>http://www.computerschach.de/tourn/frank01.htm)
>>ELOStat also gives the error margins you mentioned. I will post ist here,
>>when I am ready.
>>
>>Frank
>
>I assume you know then the formula to calculate the error margin(s), given
>probability... That is, elo = x +/- margin with probability of y%. I am looking
>for function y%=F(margin,number of games,etc). Can you post it here? Thanks in
>advance.
>
>-Andrew-


Well, the program is able to give 68%, 95%, and 99.7% confidence intervals,
which are normally used in statistics (they are also called 1_sigma, 2_sigma and
3_sigma margins, where sigma is the so called error of the mean value).
More effort is required if you want to calculate any confidence intervals
(e.g. 90% or 75 %). I will give some more details when I post the download
address.

Frank




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