robCompositions (version 2.1.0)

rSDev.test: 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”.

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.

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.

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

# NOT RUN {
data(precipitation)
rSDev.test(precipitation)
# }