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Abstract Details

Activity Number: 191
Type: Contributed
Date/Time: Monday, July 30, 2012 : 10:30 AM to 12:20 PM
Sponsor: Section on Statistical Consulting
Abstract - #306169
Title: Using the Tukey-Kramer Omnibus Test in the Hayter-Fisher Procedure
Author(s): Scott Richter*+ and Melinda McCann
Companies: The University of North Carolina at Greensboro and Oklahoma State University
Address: 107 Petty Building, Greensboro, NC, 27402, United States
Keywords: Tukey-Kramer ; Hayer-Fisher ; multiple pairwise comparisons
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 than using the F-test for certain patterns of mean differences, and equivalent per-pair and all-pairs power for all cases. Further, 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.


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