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

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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 ... continued below

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xi, 145 leaves

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Strozeski, Michael W. May 1980.

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  • Strozeski, Michael W.

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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.

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xi, 145 leaves

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  • May 1980

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  • Aug. 22, 2014, 6 p.m.

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  • Oct. 2, 2018, 3:51 p.m.

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Strozeski, Michael W. An Empirical Investigation of Tukey's Honestly Significant Difference Test with Variance Heterogeneity and Equal Sample Sizes, Utilizing Box's Coefficient of Variance Variation, dissertation, May 1980; Denton, Texas. (digital.library.unt.edu/ark:/67531/metadc332381/: accessed November 16, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; .