additivityTests (version 1.1-4.2)

lbi.test: Locally Best Invariant (LBI) Additivity Test

Description

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

Usage

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

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.

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.

References

Boik, R.J.: Testing additivity in two-way classifications with no replications:the locally best invariant test, Journal of Applied Statistics 20,pp. 41--55, 1993.

See Also

tukey.test, mtukey.test, mandel.test, johnson.graybill.test, tusell.test

Examples

data(Boik)
lbi.test(Boik)