pHaySton: Hayter-Stone

In NSM3: Functions and Datasets to Accompany Hollander, Wolfe, and Chicken - Nonparametric Statistical Methods, Third Edition

Hayter-Stone

Description

Function to compute the P-value for the observed Hayter-Stone W statistic.

Usage

pHaySton(x,g=NA,method=NA,n.mc=10000)

Arguments

x	Either a list or a vector containing the data.
g	If x is a vector, g is a required vector of group labels. Otherwise, not used.
method	Either "Exact", "Monte Carlo", or "Asymptotic", indicating the desired distribution. When method=NA, "Exact" will be used if the number of permutations is 10,000 or less. Otherwise, "Monte Carlo" will be used.
n.mc	If method="Monte Carlo", the number of Monte Carlo samples used to estimate the distribution. Otherwise, not used.

Details

The data entry is intended to be flexible, so that the groups of data can be entered in either of two ways. For data a=1,2 and b=3,4,5 the following are equivalent:

pHaySton(x=list(c(1,2),c(3,4,5))) pHaySton(x=c(1,2,3,4,5),g=c(1,1,2,2,2))

Value

Returns a list with "NSM3Ch6MCp" class containing the following components:

n	a vector containing the number of observations in each of the data groups
obs.stat	the observed W statistic for each of the k*(k-1)/2 comparisons
p.val	upper tail P-value corresponding to each W statistic

Author(s)

Grant Schneider

Examples

##Hollander, Wolfe, Chicken Example 6.7 Motivational Effect of Knowledge of Performance:
motivational.effect<-list(no.Info = c(40, 35, 38, 43, 44, 41), rough.Info = c(38, 
40, 47, 44, 40, 42), accurate.Info = c(48, 40, 45, 43, 46, 44
))

#pHaySton(motivational.effect,method="Monte Carlo")
pHaySton(motivational.effect,method="Asymptotic")
#pHaySton(rnorm(10),rep(1:3,c(3,3,4)),method="Asymptotic")

NSM3 documentation built on Sept. 8, 2023, 5:52 p.m.