R: Relative simplicial deviance tests

rSDev.test {robCompositions} | R Documentation

## 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

Juan Jose Egozcuea, Vera Pawlowsky-Glahn, Matthias Templ, Karel Hron (2015) Independence in Contingency Tables Using Simplicial Geometry. Communications in Statistics - Theory and Methods, Vol. 44 (18), 3978–3996. DOI:10.1080/03610926.2013.824980

### See Also

`rSDev`

### Examples

    data(precipitation)
    rSDev.test(precipitation)

[Package robCompositions version 2.0.6 Index]