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A COMPARISON OF THREE PROCEDURES FOR MULTIPLE COMPARISONS AMONG MEANS
Author(s) -
Ury Hans K.,
Wiggins Alvin D.
Publication year - 1975
Publication title -
british journal of mathematical and statistical psychology
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.157
H-Index - 51
eISSN - 2044-8317
pISSN - 0007-1102
DOI - 10.1111/j.2044-8317.1975.tb00551.x
Subject(s) - mathematics , statistics , sample size determination , scheffé's method , variance (accounting) , tukey's range test , preference , extension (predicate logic) , sample (material) , degrees of freedom (physics and chemistry) , analysis of variance , computer science , chemistry , accounting , physics , chromatography , quantum mechanics , business , programming language
For the situation in which the contrasts of interest are limited to the (K/2) comparisons among the means of K samples, Spjøtvoll & Stoline's (1973) extension of Tukey's multiple‐comparison procedure is compared with Scheffé's method (1959) and Dunn's procedure (1961) for significance levels not exceeding 0.05. Rules are given for determining if any method is uniformly preferable (best for all contrasts). Non‐uniform preference rules are also given and applied to some examples. Auxiliary tables are provided for significance levels 0.01 and 0.05 for several values of K and v , the number of degrees of freedom of an independent variance estimate. It is shown that the extended Tukey procedure is uniformly preferable when the sample sizes are equal or ‘nearly’ equal, while Dunn's and, in some cases, Scheffé's method is uniformly preferable when all sample sizes are ‘sufficiently’ different.