Simultaneous confidence bands for comparisons to placebo, with application to detecting the minimum effective dose
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Updated: May 26, 2026

Expedited Radiation Biodosimetry by Automated Dicentric Chromosome Identification (ADCI) and Dose Estimation
Published on: September 4, 2017
Julia N Soulakova1, Allan R Sampson, Gang Jia
1Department of Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68583-0963, USA. jsoulakova2@unl.edu
Abstract:
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.
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