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An Empirical Investigation of Tukey's Honestly Significant Difference Test with Variance Heterogeneity and Unequal Sample Sizes, Utilizing Kramer's Procedure and the Harmonic Mean

Description: This study sought to determine the effect upon Tukey's Honestly Significant Difference (HSD) statistic of concurrently violating the assumptions of homogeneity of variance and equal sample sizes. Two forms for the unequal sample size problem were investigated. Kramer's form and the harmonic mean approach were the two unequal sample size procedures studied. The study employed a Monte Carlo simulation procedure which varied sample sizes with a heterogeneity of variance condition. Four thousand ex… more
Date: May 1976
Creator: McKinney, William Lane
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An Empirical Investigation of Marascuilo's Ú₀ Test with Unequal Sample Sizes and Small Samples

Description: The study seeks to determine the effect upon the Marascuilo Ú₀ statistic of violating the small sample assumption. The study employed a Monte Carlo simulation technique to vary the degree of sample size and unequal sample sizes within experiments to determine the effect of such conditions, Twenty-two simulations, with 1200 trials each, were used. The following conclusion appeared to be appropriate: The Marascuilo Ú₀ statistic should not be used with small sample sizes and it is recommended that… more
Date: August 1976
Creator: Milligan, Kenneth W.
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