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An Empirical Investigation of Tukey's Honestly Significant Difference Test with Variance Heterogeneity and Equal Sample Sizes, Utilizing Box's Coefficient of Variance Variation

This study sought to determine boundary conditions for robustness of the Tukey HSD statistic when the assumptions of homogeneity of variance were violated. Box's coefficient of variance variation, C^2 , was utilized to index the degree of variance heterogeneity. A Monte Carlo computer simulation technique was employed to generate data under controlled violation of the homogeneity of variance assumption. For each sample size and number of treatment groups condition, an analysis of variance F-test was computed, and Tukey's multiple comparison technique was calculated. When the two additional sample size cases were added to investigate the large sample sizes, the Tukey test was found to be conservative when C^2 was set at zero. The actual significance level fell below the lower limit of the 95 per cent confidence interval around the 0.05 nominal significance level.

Identiferoai:union.ndltd.org:unt.edu/info:ark/67531/metadc332381
Date05 1900
CreatorsStrozeski, Michael W.
ContributorsMcCallon, Earl L., Haynes, Jack Read, DuChemin, Roderic C., Brookshire, William K.
PublisherNorth Texas State University
Source SetsUniversity of North Texas
LanguageEnglish
Detected LanguageEnglish
TypeThesis or Dissertation
Formatxi, 145 leaves, Text
RightsPublic, Strozeski, Michael W., Copyright, Copyright is held by the author, unless otherwise noted. All rights reserved.

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