Hi all,

I was discussing the results with a colleague outside
of the Game AI area the other day when he raised
the question (which applies to nearly all sporting events,
given the small sample size involved)
of statistical significance - suggesting that on another week
the result might have been 4-1 to Lee Sedol.

I pointed out that in games of skill there's much more to judge than just the 
final
outcome of each game, but wondered if anyone had any better (or worse :) 
arguments - or had even engaged in the same type of
conversation.

With AlphaGo winning 4 games to 1, from a simplistic
stats point of view (with the prior assumption of a fair
coin toss) you'd not be able to claim much statistical 
significance, yet most (me included) believe that
AlphaGo is a genuinely better Go player than Lee Sedol.

From a stats viewpoint you can use this approach:
http://www.inference.phy.cam.ac.uk/itprnn/book.pdf
(see section 3.2 on page 51)

but given even priors it won't tell you much.

Anyone know any good references for refuting this
type of argument - the fact is of course that a game of Go
is nothing like a coin toss.  Games of skill tend to base their
outcomes on the result of many (in the case of Go many hundreds of)
individual actions.

Best wishes,

  Simon


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