Premium
Development of Sequential Multiple Comparison Procedure for Dose Response Test
Author(s) -
Nakamura Tomohiro,
Douke Hideyuki
Publication year - 2007
Publication title -
biometrical journal
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.108
H-Index - 63
eISSN - 1521-4036
pISSN - 0323-3847
DOI - 10.1002/bimj.200610308
Subject(s) - sample size determination , mathematics , statistics , type i and type ii errors , test (biology) , population , algorithm , computer science , medicine , paleontology , environmental health , biology
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. (© 2007 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)