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Titre du document / Document title

On some single-stage, step-down and step-up procedures for comparing three normal means

Auteur(s) / Author(s)

LIU W. (1) ;

Affiliation(s) du ou des auteurs / Author(s) Affiliation(s)

(1) Department of Mathematics, University of Southampton, Southampton, SO17 1BJ, ROYAUME-UNI

Résumé / Abstract

The problem of pairwise comparisons of three normal means in the balanced one-way fixed effects anova model is considered. In order to compare the performance of a single-stage procedure, a step-down procedure and a step-up procedure which all strongly control the type I familywise error at the same level, a method of power assessment is proposed. The power function is defined to be the probability of detecting, with correct directional decision, each pair of treatments with mean values at least δ-distance away from each other. The global minimum power is then used as a criterion for comparing the three procedures. Expressions are provided allowing simple computer evaluation of the global minimum power for each of the three procedures. The findings are that the step-down procedure performs better than the step-up procedure, and both step-down and step-up procedures perform substantially better than the single-stage procedure. A table of sample sizes necessary to guarantee certain power levels for each of the three procedures is also given.

Revue / Journal Title

Computational statistics & data analysis    ISSN  0167-9473 

Source / Source

1996, vol. 21, no2, pp. 215-227 (13 ref.)

Langue / Language

Anglais

Editeur / Publisher

Elsevier, Amsterdam, PAYS-BAS  (1983) (Revue)

Mots-clés anglais / English Keywords

Multiple comparison

;

Sample size

;

Average

;

Gaussian distribution

;

Performance

;

Mots-clés français / French Keywords

Comparaison multiple

;

Taille échantillon

;

Moyenne

;

Loi normale

;

Performance

;

Comparaison puissance

;

Fonction puissance

;

Comparaison performance

;

Mots-clés espagnols / Spanish Keywords

Comparación múltiple

;

Tamaño muestra

;

Promedio

;

Curva Gauss

;

Rendimiento

;

Localisation / Location

INIST-CNRS, Cote INIST : 20214, 35400005333670.0060

Nº notice refdoc (ud4) : 3035818



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