kolmogorov: Kolmogorov-Smirnov test

In matrixTests: Fast Statistical Hypothesis Tests on Rows and Columns of Matrices

Kolmogorov-Smirnov test

Description

Performs a Kolmogorov-Smirnov test on each row/column of the input matrix.

Usage

row_kolmogorovsmirnov_twosample(x, y, alternative = "two.sided", exact = NA)

col_kolmogorovsmirnov_twosample(x, y, alternative = "two.sided", exact = NA)

Arguments

x	numeric matrix.
y	numeric matrix for the second group of observations.
alternative	alternative hypothesis to use for each row/column of x. A single string or a vector with values for each observation. Values must be one of "two.sided" (default), "greater" or "less".
exact	logical or NA (default) indicator whether an exact p-value should be computed (see Details). A single value or a logical vector with values for each observation.

Details

Function to perform two sample Kolmogorov-Smirnov test on rows/columns of matrices. Main arguments and results were intentionally matched to the ks.test() function from default stats package.

Results should be the same as running ks.test(x, y) on every row (or column) of x and y.

By default if 'exact' argument is set to 'NA', exact p-values are computed if the product of 'x' and 'y' sample sizes is less than 10000. Otherwise, asymptotic distributions are used.

Alternative hypothesis setting specifies null and alternative hypotheses. The possible values of 'two sided', 'less', and 'greater'. 'two sided' sets the null hypothesis for the distributions of 'x' being equal to the distribution 'y'. 'less' sets the null hypothesis for the distribution of x not being less than the distribution of y. 'greater' sets the null hypothesis for the distribution of x not being greater than the distribution of y. See help(ks.test) for more details.

Value

a data.frame where each row contains the results of a Kolmogorov-Smirnov test performed on the corresponding row/column of x and y. Each row contains the following information (in order):
1. obs.x - number of x observations
2. obs.y - number of y observations
3. obs.tot - total number of observations
5. statistic - Wilcoxon test statistic
6. pvalue - p-value
8. alternative - chosen alternative hypothesis
9. exact - indicates if exact p-value was computed

Author(s)

Karolis Koncevičius

See Also

ks.test()

Examples

X <- iris[iris$Species=="setosa", 1:4]
Y <- iris[iris$Species=="virginica", 1:4]
col_kolmogorovsmirnov_twosample(X, Y)

# same column using different alternative hypotheses
col_kolmogorovsmirnov_twosample(X[,c(1,1,1)], Y[,c(1,1,1)], alternative=c("t", "g", "l"))

matrixTests documentation built on Oct. 6, 2023, 1:07 a.m.