R: Modified Tukey Additivity Test

mtukey.test {additivityTests} | R Documentation

## Modified Tukey Additivity Test

### Description

Test for an interaction in two-way ANOVA table by the modified Tukey test.

### Usage

    mtukey.test(Y, alpha = 0.05, correction = 0, Nboot = 1000)

### Arguments

`Y` | data matrix
`alpha` | level of the test
`correction` | type of small sample size correction (0=none, 1=bootstrap without replacement, 2=sampling), see `Details`
`Nboot` | number of simulations to be used for small sample size correction

### Details

The level of the modified Tukey test is unstable for a small sample size. In such cases either bootstraping (`correction=1`) or sampling (`correction=2`) should be used to compute the critical value.

### Value

A list with class "`aTest`" containing the following components: test statistics `stat`, critical value `critical.value` and the result of the test `result`, i.e. whether the additivity hypothesis has been rejected.

### References

Simecek, Petr, and Simeckova, Marie. "Modification of Tukey's additivity test." Journal of Statistical Planning and Inference, 2012.

### See Also

`tukey.test`, `mandel.test`, `johnson.graybill.test`, `lbi.test`, `johnson.graybill.test`

### Examples

    data(Boik)
    mtukey.test(Boik)
    mtukey.test(Boik,correction=2,Nboot=2000)

[Package additivityTests version 1.1-4 Index]