cDurSkiMa: Computes a critical value for the Durbin, Skillings-Mack D distribution.
Description
This function computes the critical value for the Durbin, Skillings-Mack D distribution at (or typically in the "Exact" and "Monte Carlo" cases, close to) the given alpha level.
Usage
cDurSkiMa(alpha,obs.mat, method=NA, n.mc=10000)
Value
Returns a list with "NSM3Ch7c" class containing the following components:
k
number of treatments
n
number of blocks
ss
number of treatments per block
pp
number of observations per treatment
lambda
number of times each pair of treatments occurs together within a block
cutoff.U
upper tail cutoff at or below user-specified alpha
true.alpha.U
true alpha level corresponding to cutoff.U (if method="Exact" or "Monte Carlo")
Arguments
alpha
A numeric value between 0 and 1.
obs.mat
The incidence matrix, explained below.
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 incidence matrix, obs.mat, will be an n x k matrix of ones and zeroes, which indicate where the data are observed and unobserved, respectively. Methods for finding the incidence matrix for various BIBD designs are given in the literature. While the incidence matrix will not be unique for a given (k, n, s, lambda, p) combination, the distribution of D under H0 will be the same.