An example of the non-transitivity of the Wilcoxon test, using Efron's non-transitive dice.
refron()
generates numbers from a set of four non-transitive dice, so that a
beats b
beats c
beats d
beats a
two-thirds of the time, with optional Gaussian smoothing.
example.R
does Wilcoxon rank-sum tests to show that a
> b
> c
> d
> a