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The Effect of Unequal Group Size on Tukey's HSD Procedure

Published online by Cambridge University Press:  01 January 2025

Robert A. Smith
Robert A. Smith*
Affiliation:
University of Colorado
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Abstract

A limitation of the Tukey HSD procedure for multiple comparison has been the requirement of equal number of observations for each group. Three approximation techniques have been suggested when the group sizes are unequal. Each of these techniques was empirically analyzed to determine its effect on Type I error. Two of the considered variables, average group size and differences in group size, caused differing actual probabilities of Type I error. One of the three techniques (Kramer's) consistently provided actual probabilities in close agreement with corresponding nominal probabilities.

Keywords

Public PolicyGroup SizeStatistical TheoryAverage GroupClose Agreement
Type
Original Paper
Information
Psychometrika , Volume 36 , Issue 1 , March 1971 , pp. 31 - 34
Copyright
Copyright © 1971 The Psychometric Society

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Footnotes

*

Now at the University of Southern California.

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