Sample Size Determination for Testing Whether an Identified Treatment Is Best

Authors: Horn, Manfred1; Vollandt, Rudiger2; Dunnett, Charles W.3

Source: Biometrics, Volume 56, Number 3, September 2000 , pp. 879-881(3)

Publisher: Blackwell Publishing

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Abstract:

Summary.

Laska and Meisner (1989, Biometrics45, 1139-1151) dealt with the problem of testing whether an identified treatment belonging to a set of k+ 1 treatments is better than each of the other k treatments. They calculated sample size tables for k= 2 when using multiple t-tests or Wilcoxon-Mann-Whitney tests, both under normality assumptions. In this paper, we provide sample size formulas as well as tables for sample size determination for k≥ 2 when t-tests under normality or Wilcoxon-Mann-Whitney tests under general distribution assumptions are used.

Keywords: All-pairs power; Combination treatment; Large sample solution; Many-one comparisons; Multiple t-test; Wilcoxon-Mann-Whitney test

Document Type: Research article

DOI: 10.1111/j.0006-341X.2000.00879.x

Affiliations: 1: Institute of Medical Epidemiology, Biometry, and Medical Computer Sciences, Martin Luther University Halle-Wittenberg, D-06097 Halle, Germany 2: Institute of Medical Statistics, Computer Sciences and Documentation, Friedrich Schiller University Jena, D-07740 Jena, Germany 3: Department of Mathematics and Statistics and Department of Clinical Epidemiology and Biostatistics, McMaster University, Hamilton, Ontario L8S 4K1, Canada

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