Development of sequential multiple comparison procedure for dose response test

Tomohiro Nakamura, Hideyuki Douke

研究成果: Article査読

3 被引用数 (Scopus)

抄録

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.

本文言語English
ページ(範囲)30-39
ページ数10
ジャーナルBiometrical Journal
49
1
DOI
出版ステータスPublished - 2007 2月 1
外部発表はい

ASJC Scopus subject areas

  • 統計学および確率
  • 統計学、確率および不確実性

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