A Monte Carlo study of multiple comparison techniques
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Authors
Bell, Merlin Gene
Subjects
Statistics
Analysis of variance
Multiple comparisons
Multiple range procedures
Analysis of variance
Multiple comparisons
Multiple range procedures
Advisors
Larson, Harold J.
Date of Issue
1969-10
Date
October 1969
Publisher
Monterey, California. U.S. Naval Postgraduate School
Language
en_US
Abstract
A study was conducted on the multiple comparison methods presented by Scheffe, Tukey, Student-Newman-Keuls, and Duncan under the experimental situation in which all populations were normal with equal variances and all means but one were equal. The characteristics of all four test procedures were compared for the case of multiple comparisons of pairs of means. These tests were conducted both with and without the prior performance of an analysis of variance. The Tukey and Scheffe procedures were compared in tests of linear combination of three means. Estimates were made of the power of the tests and of Type I error rates under both the null and alternate hypotheses. Scheffe's method was found to be too conservative for pairwise comparisons of means, but it was to be preferred over Tukey's method for combinations of more than two means. Duncan's method was the most powerful test of pairwise comparisons, but it maintained little control over one kind of Type I error. The S-N-K procedure showed a good balance between power and control of Type I errors.
Type
Thesis
Description
Series/Report No
Department
Department of Operations Research
Organization
Naval Postgraduate School (U.S.)
Identifiers
NPS Report Number
Sponsors
Funding
Format
Citation
Distribution Statement
Approved for public release; distribution is unlimited.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.