skktest: Srivastava-Katayama-Kano test statistic

In MethylCapSig: Detection of Differentially Methylated Regions using MethylCap-Seq Data

Description

Calculates the two sample test statistic and p-value for the Srivastava-Katayama-Kano test.

Usage

skktest(X, Y)

Arguments

X	A matrix of dimension n \times k whose rows represent the samples collected from n individuals from the first group on k variates.
Y	A matrix of dimension m \times k whose rows correspond to samples collected from m individuals from the second group on k variates. Default value is null. If not specified, the function performs a one-sample test using X.

Details

The Srivastava-Katayama-Kano test statistic is used to test equality of mean vectors for two groups of multivariate observations, where the dimension is greater than the sample size. skktest takes matrices X and Y as arguments whose rows represent samples from two groups respectively. Depending on the values in X and Y, the function initially determines whether to perform a one sample test (∑_{i,j} X_{i,j}^2 = 0 or ∑_{i,j} Y_{i,j}^2 = 0) or a two-sample test. The appropriate test statistic is then calculated and is returned along with the p-value which is calculated using right-tailed normal distribution.

Value

A 2 \times 1 vector consisting of the test statistic and the p-value.

Author(s)

Deepak N. Ayyala

References

Srivastava, M. S., Katayama, S. and Kano, Y. (2013) A two sample test in high dimensional data, Journal of Multivariate Analysis, 114, 349 – 358.

Examples

data(diffMethylData)
skktest(diffMethylData$region1.x, diffMethylData$region1.y)
# skktest(diffMethylData$region2.x, diffMethylData$region2.y)

MethylCapSig documentation built on May 2, 2019, 9:24 a.m.