Re: Are Winrates Normally Distributed?
[ QUOTE ]
Max Power,
Isn't what you are describiing a sampling distribution of the mean? Doesn't that always produce a normal distribution even if the population distribution is not normal?
[/ QUOTE ]
You guys are correct. I just basically demonstrated the Central Limit Theorem.
It is not at all useful. It tells us what we already know, but I think that Josh's method was flawed and led him to the wrong conclusion.
The sampling distribution of win rates is normally distributed and it is appropriate to use that distribution to calculate confidence intervals. This is just an empirical demonstration.
|