APPROXIMATE TEST FOR TESTING A NULL VARIANCE RATIO IN THE UNBALANCED ONE-WAY RANDOM MODEL

The approximate test for testing the significance of the random effect is presented in the unbalanced one-way random model in which both random effects and errors are from nonnormal universes. The test is based on the asymptotic distribution of the F-ratio. Under the condition that the number of groups tends to infinity while the average of powers of the group sizes is bounded, the asymptotic distribution of the F statistic is obtained. Robustness of the proposed test is given.