Date of Award

Spring 1980

Degree Type

Thesis - Restricted

Degree Name

Master of Science (MS)

Department

Mathematics

First Advisor

Lochner, Robert H.

Second Advisor

Pearson, Larry M.

Third Advisor

Davie, Anne S.

Abstract

Several authors have compared multiple comparison procedures under the assumption of normality and when sampling from skewed populations. In this study we shall compare four multiple comparison procedures under the assumption that the parent populations are Weibull, when the contrasts of interest are the pairwise comparisons among the means of K samples. The methods studied are: Scheffe's S-method, , Ounn-Sidak's OS-method, Spjotvoll and Stoline's T -method and Hochberg's GT2-procedure. Emphasis will be placed on comparing the average confidence interval lengths for each method. It is shown that the GT2-method generally gives , the shortest average confidence interval lengths. The T - method gives the shortest average confidence interval lengths when the sample sizes are "nearly" equal.

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