probabilityderiv
calculates derivatives probabilities of one variable exceeding another,
where the variables are independent, and with identical distributions except for a location shift, at the null hypothesis.
This calculation is useful for power of Mann-Whitney-Wilcoxon, Jonckheere-Terpstra, and Kruskal-Wallis testing.
probabilityderiv(distname = c("normal", "cauchy", "logistic"))
The scalar derivative.
The distribution of the underlying observations; normal and logistic are currently supported.
Probabilities of particular families must be calculated analytically, and then differentiated.