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Some Results on Step-Up Tests for Comparing Treatments with a Control in Unbalanced One-Way Layouts

Wei Liu
Biometrics
Vol. 53, No. 4 (Dec., 1997), pp. 1508-1512
DOI: 10.2307/2533517
Stable URL: http://www.jstor.org/stable/2533517
Page Count: 5
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Some Results on Step-Up Tests for Comparing Treatments with a Control in Unbalanced One-Way Layouts
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Abstract

The basic problem is to compare several treatments with a control in the standard unbalanced one-way layouts. Step-up tests were considered by Dunnett and Tamhane (1995, Biometrics 51, 217-227). In this paper, a method of calculating the critical values of step-up tests is proposed so that the Type I familywise error (FWE) is controlled at a prespecified level α. It is also pointed out that the equivalence of a step-up test and the test based on the correspondingly adjusted p-values requires implicitly a monotone property. A practical example is used for illustration.

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