Apply k-sample tests for two multivariate samples

Any \(k\)-sample method implies that it can be used for a special case of \(k=2\). useknd lets any \(k\)-sample tests provided in this package be used with two multivariate samples \(X\) and \(Y\).

useknd(X, Y, test.name, ...)

Arguments

X: an \((n_x \times p)\) data matrix of 1st sample.
Y: an \((n_y \times p)\) data matrix of 2nd sample.
test.name: character string for the name of k-sample test to be used.
...: extra arguments passed onto the function test.name.

Value

a (list) object of S3 class htest containing:

statistic: a test statistic.
p.value: \(p\)-value under \(H_0\).
alternative: alternative hypothesis.
method: name of the test.
data.name: name(s) of provided sample data.

Examples

# \donttest{
## use 'covk.2007Schott' for two-sample covariance testing
## empirical Type 1 error 
niter   = 1000
counter = rep(0,niter)  # record p-values
for (i in 1:niter){
  X = matrix(rnorm(50*5), ncol=10)
  Y = matrix(rnorm(50*5), ncol=10)
  
  counter[i] = ifelse(useknd(X,Y,"covk.2007Schott")$p.value < 0.05, 1, 0)
}

## print the result
cat(paste("\n* Example for 'covk.2007Schott'\n","*\n",
"* number of rejections   : ", sum(counter),"\n",
"* total number of trials : ", niter,"\n",
"* empirical Type 1 error : ",round(sum(counter/niter),5),"\n",sep=""))
#> 
#> * Example for 'covk.2007Schott'
#> *
#> * number of rejections   : 65
#> * total number of trials : 1000
#> * empirical Type 1 error : 0.065
# }