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pWNMT

Wilcoxon, Nemenyi, McDonald-Thompson


Description

Function to compute the P-value for the observed Wilcoxon, Nemenyi, McDonald-Thompson R statistic.

Usage

pWNMT(x,b=NA,trt=NA,method=NA, n.mc=10000)

Arguments

x

Either a matrix or a vector containing the data.

b

If x is a vector, b is a required vector of block labels. Otherwise, not used.

trt

If x is a vector, trt is a required vector of treatment 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 data can be entered in either of two ways. The following are equivalent: pWNMT(x=matrix(c(1,2,3,4,5,6),ncol=2,byrow=T)) pWNMT(x=c(1,2,3,4,5,6),b=c(1,1,2,2,3,3),trt=c(1,2,1,2,1,2))

Value

Returns a list with "NSM3Ch7MCp" class containing the following components:

k

number of treatments

n

number of blocks

obs.stat

the observed R* statistic for each of the k*(k-1)/2 comparisons

p.val

upper tail P-value corresponding to each observed R statistic

Author(s)

Grant Schneider

Examples

##Hollander-Wolfe-Chicken Example 7.3 Rounding First Base
RoundingTimes<-matrix(c(5.40, 5.50, 5.55, 5.85, 5.70, 5.75, 5.20, 5.60, 5.50, 5.55, 5.50, 5.40,
5.90, 5.85, 5.70, 5.45, 5.55, 5.60, 5.40, 5.40, 5.35, 5.45, 5.50, 5.35, 5.25, 5.15, 5.00, 5.85,
5.80, 5.70, 5.25, 5.20, 5.10, 5.65, 5.55, 5.45, 5.60, 5.35, 5.45, 5.05, 5.00, 4.95, 5.50, 5.50,
5.40, 5.45, 5.55, 5.50, 5.55, 5.55, 5.35, 5.45, 5.50, 5.55, 5.50, 5.45, 5.25, 5.65, 5.60, 5.40,
5.70, 5.65, 5.55, 6.30, 6.30, 6.25),nrow = 22,byrow = TRUE,dimnames = list(1 : 22,
c("Round Out", "Narrow Angle", "Wide Angle")))

pWNMT(RoundingTimes,n.mc=2500)

NSM3

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

v1.16
GPL-2
Authors
Grant Schneider, Eric Chicken, Rachel Becvarik
Initial release
2021-04-05

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