Equivalence with Respect to a Control: Stepwise Tests
Journal of the Royal Statistical Society: Series B (Statistical Methodology) · 1995 · Volume 57 · Issue 4
DOI: 10.1111/j.2517-6161.1995.tb02058.x
Abstract
The problem of selecting those treatments which are equivalent (or bioequivalent) to a control treatment is investigated by using single-step, step-down and step-up multiple-testing procedures. For each of the tests considered the null hypothesis is that of non-equivalence and the hypotheses are rejected in either a single step or a stepwise fashion while controlling the family wise error rate. The single-step procedure is based on ‘expanded’ confidence intervals, as discussed by Bofinger, the step-down procedure is based on the method of Naik and the step-up procedure on the method of Dunnett and Tamhane. Almost all the critical constants used in the procedures are based on tables already published.
Keywords
bioequivalence, familywise error rate, multiple comparisons, step down, step up
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