NSM3 (version 1.18)

pHaySton: 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)

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

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.

Author

Grant Schneider

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))

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")