Development of sequential multiple comparison procedure for dose response test

Tomohiro Nakamura, Hideyuki Douke

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

Abstract

We propose a multiple comparison procedure to identify the minimum effective dose level by sequentially comparing each dose level with the zero dose level in the dose finding test. If we can find the minimum effective dose level at an early stage in the sequential test, it is possible to terminate the procedure in the dose finding test after a few group observations up to the dose level. Thus, the procedure is viable from an economical point of view when high costs are involved in obtaining the observations. In the procedure, we present an integral formula to determine the critical values for satisfying a predefined type I familywise error rate. Furthermore, we show how to determine the required sample size in order to guarantee the power of the test in the procedure. In practice, we compare the power of the test and the required sample size for various configurations of the population means in simulation studies and adopt our sequential procedure to the dose response test in a case study.

Original languageEnglish
Pages (from-to)30-39
Number of pages10
JournalBiometrical Journal
Volume49
Issue number1
DOIs
Publication statusPublished - 2007 Feb 1
Externally publishedYes

Keywords

  • Minimum effective dose
  • Power of dose finding test
  • Sequential pairwise test
  • Type I familywise error rate

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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