additivityTests (version 1.0.0)

johnson.graybill.test: 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

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.

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

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, tussel.test

Examples

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