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Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13
From: |
Joern Thyssen |
Subject: |
Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13 |
Date: |
Mon, 9 Jun 2003 10:14:17 +0000 |
User-agent: |
Mutt/1.4.1i |
On Mon, Jun 09, 2003 at 12:12:23AM -0300, Albert Silver wrote
> Hi all,
>
> This is just to report that the series of 100 7-point matches
> has finished and the final score was 56-44 in GNU's favor. Attached are
> the matches so that any may see them. Many thanks to Tony Lezard for his
> program that made the match-up possible, and of course a huge
> congratulations to the GNU team.
Can someone help me to calculate the std. deviation, please!
My idea was to calculate gnubg's average win, e.g.,
sum(i=1,100) result_i
p = ---------------------
100
where result_i=1 if gnubg won and result_i=0 if Snowie won.
The variance can be written as
variance=average(result^2) - ( average(result) ) ^2
However, as average(result^2) = average(result)=p then the variance can b
reduced to
variance=p-p^2
That, is /independent/ of the number of samples!
In this example I get
mean=0.56 and std. deviation=0.50, thus
gnubg wins 0.56 +/- 0.98
What am I doing wrong?
Jørn
- [Bug-gnubg] Snowie 4 vs. GNU 0.13, Albert Silver, 2003/06/08
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13,
Joern Thyssen <=
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Rod Roark, 2003/06/09
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Joern Thyssen, 2003/06/09
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Rod Roark, 2003/06/09
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Joern Thyssen, 2003/06/09
- RE: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Albert Silver, 2003/06/09
- RE: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Albert Silver, 2003/06/09
- Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13, Joern Thyssen, 2003/06/09