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Subject: Re: Who is better? Some statistics...

Author: Steve Maughan

Date: 06:07:50 06/11/01

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Hi Gian-Carlo,

Yes the program uses the binomial distribution.  It was a 'quick-n-dirty' app.
To expand on this; the program performs a hypothesis test that the two programs
are of equal strength i.e. would score 50% each in the long run.  The binomial
distribution tells us that given the probability that anyone will win a single
game is 0.5 (i.e. equal strength), what the probability of winning 'x' games
from a total of 'y'.  If this probability drops below the level of significance
then the long run probability is NOT 0.5 i.e. the player with the highest score
is actually better.

Hope that explains it a bit better.  Maybe I'll expand this in the next update.

Regards,

Steve Maughan



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