title: A step-up test procedure to find the minimum effective dose.
abstract: It is of great interest to find the minimum effective dose (MED) in dose-response studies. A sequence of decreasing null hypotheses to find the MED is formulated under the assumption of nondecreasing dose response means. A step-up multiple test procedure that controls the familywise error rate (FWER) is constructed based on the maximum likelihood estimators for the monotone normal means. When the MED is equal to one, the proposed test is uniformly more powerful than Hsu and Berger's test (1999). Also, a simulation study shows a substantial power improvement for the proposed test over four competitors. Three R-codes are provided in Supplemental Materials for this article. Go to the publishers online edition of Journal of Biopharmaceutical Statistics to view the files.
authors.affiliation: a Department of Mathematics and Statistics , Wright State University , Dayton , Ohio , USA.
authors.forename: Weizhen
authors.initials: W
authors.lastname: Wang
authors.forename: Jianan
authors.initials: J
authors.lastname: Peng
mesh_terms: D001699:Biometry / Q000379:methods*; D003198:Computer Simulation; D003627:Data Interpretation, Statistical; D004305:Dose-Response Relationship, Drug; D016013:Likelihood Functions; D018401:Sample Size; D016008:Statistical Distributions; D013269:Stochastic Processes
keywords: Closed test method; Familywise error rate; Pooled-adjacent-violator algorithm; Step-up tests