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Central Limit Theorem: A sampling distribution of the mean is approximately normally distributed if the sample size is sufficiently large. This is true no matter what the population distribution is.

The Cramér-von Mises ω2 criterion for testing that a sample, x1, ⋯, xN, has been drawn from a specified continuous distribution F(x) is \begin{equation*}\tag{1}\omega^2 = \int^\infty_{-\infty} \lbrack ...

When an experiment is reproduced we almost never obtain exactly the same results. Instead, repeated measurements span a range of values because of biological variability and precision limits of ...

This paper presents the results of a limited investigation which brings into focus the difficulties encountered in developing exact distribution-free methods for stratified simple random sampling. It ...

Sometimes you can just look at the data and see the null hypothesis is clearly false. (For example, if a histogram shows that every observation is greater than the null hypothesis value). The methods ...