R: Johnson and Graybill Additivity Test

johnson.graybill.test {additivityTests} | R Documentation

## Johnson and Graybill Additivity Test

### Description

Test for an interaction in two-way ANOVA table by the Johnson-Graybill test.

### Usage

    johnson.graybill.test(Y, alpha = 0.05, critical.value = NA, Nsim = 1000)

### Arguments

`Y` | data matrix
`alpha` | level of the test
`critical.value` | result of `critical.values` function, see `Details`
`Nsim` | number of simulations to be used for a critical value estimation

### Details

The critical value can be computed in advance and given in the parameter `critical value`. If not a function `critical.values` is called to do that.

### 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

Johnson, D.E. and Graybill, F.A.: An analysis of a two-way model with interaction and no replication, Journal of the American Statistical Association 67, pp. 862–868, 1972.

### See Also

`tukey.test`, `mtukey.test`, `mandel.test`, `lbi.test`, `tusell.test`

### Examples

    data(Boik)
    johnson.graybill.test(Boik)

[Package additivityTests version 1.1-4 Index]