rSDev.test: Relative simplicial deviance tests

In robCompositions: Compositional Data Analysis

Relative simplicial deviance tests

Description

Monte Carlo based contingency table tests considering the compositional approach to contingency tables.

Usage

rSDev.test(x, R = 999, method = "multinom")

Arguments

x	matrix, data.frame or table
R	an integer specifying the number of replicates used in the Monte Carlo test.
method	either “rmultinom” (default) or “permutation”.

Details

Method “rmultinom” generate multinomially distributed samples from the independent probability table, which is estimated from x using geometric mean marginals. The relative simplicial deviance of the original data are then compared to the generated ones.

Method “permutation” permutes the entries of x and compares the relative simplicial deviance estimated from the original data to the ones of the permuted data (the independence table is unchanged and originates on x).

Method “rmultinom” should be preferred, while method “permutation” can be used for comparisons.

Value

A list with class “htest” containing the following components:

• statisticthe value of the relative simplicial deviance (test statistic).

• methoda character string indicating what type of rSDev.test was performed.

• p.valuethe p-value for the test.

Author(s)

Matthias Templ, Karel Hron

References

Egozcue, J.J., Pawlowsky-Glahn, V., Templ, M., Hron, K. (2015) Independence in contingency tables using simplicial geometry. Communications in Statistics - Theory and Methods, 44 (18), 3978–3996.

See Also

rSDev

Examples

data(precipitation)
rSDev.test(precipitation)

robCompositions documentation built on Aug. 25, 2023, 5:13 p.m.