NSM3 (version 1.18)

pMackSkil: 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)

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

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.

Author

Grant Schneider

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))

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)