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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.

A nonparametric test labelled ‘Rao Spacing-frequencies test’ is explored and developed for testing whether two circular samples come from the same population. Its exact distribution and performance ...

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 ...

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 ...