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My guess is that since the data lay in the interval [0,1] it can be modeled as a beta distribution. So now I need to find the parameters alpha and beta. Is it easy as calculating the sample mean and the sample variance and working backwards from the equations for the mean and variance of a beta distribution or does that only work for normal distributions? Since these are sample do they approximate a normal distribution so that I should be fitting a normal distribution to the data despite the interval [0,1] (it would have very thin tails)? Comments appreciated.