pMackSkil: Mack-Skillings

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

Mack-Skillings

Description

Function to compute the P-value for the observed Mack-Skillings MS statistic.

Usage

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

Arguments

x	Either a 3 dimensional array 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:

pMackSkil(x=array(c(1,2,3,4,5,6),dim=c(1,2,3)) pMackSkil(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 "NSM3Ch7p" class containing the following components:

k	number of treatments in the data
n	number of blocks in the data
c	number of repetitions for each treatment and block combination
obs.stat	the observed MS statistic
p.val	upper tail P-value

Author(s)

Grant Schneider

Examples

##Hollander, Wolfe, Chicken Example 7.9 Determination of Niacin in Bran Flakes
niacin<-array(dim=c(3,4,3))
niacin[,,1]<-c(7.58,7.87,7.71,8,8.27,8,7.6,7.3,7.82,8.03,7.35,7.66)
niacin[,,2]<-c(11.63,11.87,11.4,12.2,11.7,11.8,11.04,11.5,11.49,11.5,10.10,11.7)
niacin[,,3]<-c(15,15.92,15.58,16.6,16.4,15.9,15.87,15.91,16.28,15.1,14.8,15.7)

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