Re: Are Winrates Normally Distributed?
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Nice work Max, thanks a lot.
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So if I play 20,000 hands and my BB/100 is 1.5, I know that the sampling distribution for samples of that size is normally distributed.
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Don't the numbers you posted indicate that this is not the case? Sampling distributions are going to approximate normal with n sufficiently large. What your numbers seem to show is that n=100 is not large enough.
Correct me if I'm wrong, but you've shown that the sampling distribution for bb/100 is decidedly not normal. What I want to know is how does this affect confidence intervals?
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If your BB/100 is based on exactly 100 hands, then the sampling distribution is not normal. If it based on thousands of hands, then it will be.
The BB/100 is just a measure, don't get hung up on it. We can measure height in feet, inches, centimeters, etc. Regardless of the units we use your height stays the same and the distribution stays the same.
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