Simultaneous confidence bands for comparisons to placebo, with application to detecting the minimum effective dose.
In this article we consider a max-min approach to construct two-sided and one-sided simultaneous confidence bands in a dose-response study for the contrast in mean responses of each ascending dose versus placebo. The method utilizes the assumption of monotone non-decreasing dose-response curve. Also discussed is a step-down testing procedure that utilizes the lower bands to estimate the minimum effective dose (MED). The performance of our proposed step-down procedure is assessed by simulations and is shown to be superior to competitors when the MED is the lowest dose in a dose-response study.
Department of Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68583-0963, USA. jsoulakova2@unl.edu
Julia N
JN
Soulakova
Allan R
AR
Sampson
Gang
G
Jia
Leon J
LJ
Gleser
D000818:Animals; D003198:Computer Simulation / Q000706:statistics & numerical data*; D016001:Confidence Intervals; D004305:Dose-Response Relationship, Drug; D006801:Humans; D004364:Pharmaceutical Preparations / Q000008:administration & dosage*; D010919:Placebos
D004364:Pharmaceutical Preparations; D010919:Placebos