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March, 1983 Improving Some Multiple Comparison Procedures
Alexander Felzenbaum, Sergiu Hart, Yosef Hochberg
Ann. Statist. 11(1): 121-128 (March, 1983). DOI: 10.1214/aos/1176346063


Genizi and Hochberg (1978) recommended using Contrast Set Preserving (CSP) procedures in the class of $T(Q)$ procedures for multiple comparisons in general unbalanced designs based on partial results. They did not, however, propose a general method for selecting a specific CSP procedure, or for replacing a given non-CSP procedure with a better CSP one. In this work we identify a certain orthogonal transformation of non-CSP procedures into CSP ones and give a sufficient condition for the uniform dominance (shorter confidence intervals for all contrasts) of the latter over the former. Two important implications of the given condition are: (i) Applying the given transformation to Spjotvoll and Stoline's (1973) $T$'-procedure in any unbalanced ANOVA gives a uniformly improved procedure. (ii) In any arbitrary design, our transformation gives uniform improvement if the original procedure is "nearly CSP."


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Alexander Felzenbaum. Sergiu Hart. Yosef Hochberg. "Improving Some Multiple Comparison Procedures." Ann. Statist. 11 (1) 121 - 128, March, 1983.


Published: March, 1983
First available in Project Euclid: 12 April 2007

zbMATH: 0516.62069
MathSciNet: MR684870
Digital Object Identifier: 10.1214/aos/1176346063

Primary: 62F99
Secondary: 62F25

Keywords: contrasts , Generalized $t$-method , Orthogonal transformations , unbalanced designs

Rights: Copyright © 1983 Institute of Mathematical Statistics

Vol.11 • No. 1 • March, 1983
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