TWO-STAGE PROCEDURES FOR TESTING HOMOGENEITY OF MEANS AGAINST ORDERED ALTERNATIVES IN ONE-WAY ANOVA WITH COMMON UNKNOWN VARIANCE

In this paper we present two-stage procedures for testing the equality of normal means against ordered alternatives in one-way ANOVA with common and unknown variance. The procedures proposed are analogous to Williams's and Bartholomew's single-stage methods. A table of percentiles needed for implementation is provided. Some Monte Carlo results for estimating the power of both procedures are given.