Simultaneous confidence bands for comparisons to placebo, with application to detecting the minimum effective dose

Julia N. Soulakova, Allan R. Sampson, Gang Jia, Leon J. Gleser

Research output: Contribution to journalArticle

1 Scopus citations

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.

Original languageEnglish (US)
Pages (from-to)93-108
Number of pages16
JournalJournal of Biopharmaceutical Statistics
Volume22
Issue number1
DOIs
StatePublished - Jan 1 2012

Keywords

  • Closed testing
  • Isotonic response
  • Minimum effective dose

ASJC Scopus subject areas

  • Statistics and Probability
  • Pharmacology
  • Pharmacology (medical)

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