Closed Testing Procedures Based on Bartholomew's Tests for the Differences Among Mean Responses Under a Simple Ordered Restriction

Abstract

Under the assumptions of continuous distribution and homogeneous variance, we consider multiple comparisons tests for the differences among mean responses in k samples. Hayter (1990) proposed single-step procedure as all-pairwise comparison test between ordered treatments in k samples under assuming normality. We propose closed testing procedures based on Bartholomew's tests. The proposed procedures are superior to Hayter (1990). Furthermore nonparametric closed testing procedures are discussed based on ranks. The closed testing procedures proposed in this paper are applicable for the models with unequal sample sizes.