title: Using the Tukey-Kramer omnibus test in the Hayter-Fisher procedure.
abstract: Using Tukey-Kramer versus the ANOVA F-test as the omnibus test of the Hayter-Fisher procedure for comparing all pairs of normally distributed means, when sample sizes are unequal, is investigated. Simulation results suggest that using Tukey-Kramer leads to as much or more any-pairs power compared to using the F-test for certain patterns of mean differences, and equivalent per-pair and all-pairs power for all cases. Furthermore, using Tukey-Kramer results in a consonant test procedure, where there cannot be disagreement between the results of the omnibus test and the subsequent pairwise tests. The results suggest that when sample sizes are unequal, Tukey-Kramer may be preferred over the F-test as the omnibus test for the Hayter-Fisher procedure.
authors.affiliation: The University of North Carolina at Greensboro, USA. scott_richter@uncg.edu
authors.forename: Scott J
authors.initials: SJ
authors.lastname: Richter
authors.forename: Melinda H
authors.initials: MH
authors.lastname: McCann
mesh_terms: D003198:Computer Simulation / Q000706:statistics & numerical data; D006801:Humans; D015233:Models, Statistical; D011581:Psychological Tests / Q000706:statistics & numerical data*; D012107:Research Design / Q000706:statistics & numerical data; D018401:Sample Size; D016008:Statistical Distributions