Bayes A-Optimal and Efficient Block Designs for Comparing Test Treatments with A Standard Treatment

John Stufken

Research output: Contribution to journalArticle

2 Scopus citations

Abstract

A sufficient condition for the Bayes A-optimality of block designs when comparing a standard treatment with v test treatments is given by Majumdar. (In: Optimal Design and Analysis of Experiments, Y. Dodge, V. V. Fedorov and H. P. Wynn (Eds.), 15–27, North-Holland, 1988). The priors that he considers depend on a constant a ε [0, ∞), with a - 0 corresponding to no prior information at all. The given sufficient condition, consequently, also depends on a. Large families of optimal and highly efficient designs are only known for the case a — 0. We will show how some of the results for a - 0 can be extended to obtain large families of optimal and highly efficient designs for arbitrary values of a. In addition, these results are useful when considering design robustness against an improper choice of a.

Original languageEnglish (US)
Pages (from-to)3849-3862
Number of pages14
JournalCommunications in Statistics - Theory and Methods
Volume20
Issue number12
DOIs
StatePublished - Jan 1 1991

Keywords

  • BTIB designs
  • R-type designs
  • design robustness
  • optimal designs
  • prior information

ASJC Scopus subject areas

  • Statistics and Probability

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