title: Some results on step-up tests for comparing treatments with a control in unbalanced one-way layouts.
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 family wise error (FWE) is controlled at a prespecified level alpha. 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.
authors.affiliation: Department of Mathematics, University of Southampton, U.K.
authors.forename: W
authors.initials: W
authors.lastname: Liu
mesh_terms: D000818:Animals; D001699:Biometry / Q000379:methods; D002216:Captopril / Q000494:pharmacology; D002319:Cardiovascular System / Q000187:drug effects; D006801:Humans; D006830:Hydralazine / Q000494:pharmacology; D015233:Models, Statistical; D011336:Probability; D011433:Propranolol / Q000494:pharmacology; D051381:Rats; D013974:Thyroxine / Q000494:pharmacology
chemical_list: D006830:Hydralazine; D002216:Captopril; D011433:Propranolol; D013974:Thyroxine