Related Experiment Video
Updated: May 24, 2026

A Standardized Protocol for Preference Testing to Assess Fish Welfare
Published on: February 22, 2020
Using the Tukey-Kramer omnibus test in the Hayter-Fisher procedure
Scott J Richter1, Melinda H McCann
1The University of North Carolina at Greensboro, USA. scott_richter@uncg.edu
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.
Related Concept Videos
Behrens–Fisher Test
This test is...
Kruskal-Wallis Test
Test for Homogeneity
Bonferroni Test
The means of different samples are first paired in all possible combinations.
The null hypothesis of the...
Friedman Two-way Analysis of Variance by Ranks
Comparing Experimental Results: Student's t-Test

