pairwiseprobabilities function

Pairwise probabilities of Exceedence

pairwiseprobabilities calculates probabilities of one variable exceeding another, where the variables are independent, and with identical distributions except for a location shift. This calculation is useful for power of Mann-Whitney-Wilcoxon, Jonckheere-Terpstra, and Kruskal-Wallis testing.

pairwiseprobabilities(
  shifts,
  distname = c("normal", "cauchy", "logistic"),
  taylor = FALSE
)

Arguments

• shifts: The offsets for the various populations, under the alternative hypothesis.
• distname: The distribution of the underlying observations; normal, cauchy, and logistic are currently supported.
• taylor: Logical flag forcing the approximation of exeedence probabilities using a Taylor series.

Returns

A matrix with as many rows and colums as there are shift parameters. Row i and column j give the probability of an observation from group j exceeding one from group i.

Details

Probabilities of particular families must be calculated analytically.

Examples

pairwiseprobabilities(c(0,1,2),"normal")