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Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13


From: Øystein Johansen
Subject: Re: [Bug-gnubg] Snowie 4 vs. GNU 0.13
Date: Mon, 09 Jun 2003 13:46:56 +0200
User-agent: Mozilla/5.0 (Windows; U; Windows NT 5.1; en-US; rv:1.2.1) Gecko/20021130

Nardy Pillards wrote:

From: "Joern Thyssen" <address@hidden>
Sent: Monday, June 09, 2003 12:14 PM


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!

[snip]

Jørn
          _______________________
         /       2            2
        /  nSUM(x ) - [SUM(x)]
STDEV = V   ---------------------
                 n(n-1)

with 56 and 44: STDEV=8.485281374

This is not what I was about to type.

std.dev = sqrt( n * p * q )

p = Estimated probability of GNU winning based on the trials.
q = 1 - p
n = number of trials.

std.dev = sqrt( 100 * 0.56 * 0.44) = 4.964

-Øystein








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