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Sample Sizes for Comparisons of k Treatments with a Control Based on Different Definitions of the Power
Author(s) -
Horn Manfred,
Vollandt Rüdiger
Publication year - 1998
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/(sici)1521-4036(199809)40:5<589::aid-bimj589>3.0.co;2-8
Subject(s) - mathematics , power (physics) , sample size determination , statistics , sample (material) , combinatorics , statistical power , physics , thermodynamics
The determination of sample sizes for the comparison of k treatments against a control by means of the test of Dunnett (1955, 1964) as well as by means of the multiple t ‐test will be considered. The power in multiple comparisons can be defined in different ways, see Hochberg and Tamhane (1987). We will derive formulas for the per‐pair power, the any‐pair power and the all‐pairs power for both one‐ and two‐sided comparisons. Tables will be provided that allow sample sizes to be determined for preassigned values of the power.