Row-column designs for comparing treatments with a control

Dibyen Majumdar, Ajit C. Tamhane*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

2 Scopus citations

Abstract

This paper considers the problem of the design and analysis of experiments for comparing several treatments with a control when heterogeneity is to be eliminated in two directions. A class of row-column designs which are balanced for treatment vs. control comparisons (referred to as the balanced treatment vs. control row-column or BTCRC designs) is proposed. These designs are analogs of the so-called BTIB designs proposed by Bechhofer and Tamhane (Technometrics 23 (1981) 45-57) for eliminating heterogeneity in one direction. Some methods of analysis and construction of these designs are given. A measure of efficiency of BTCRC designs in terms of the A-optimality criterion is derived and illustrated by several examples.

Original languageEnglish (US)
Pages (from-to)387-400
Number of pages14
JournalJournal of Statistical Planning and Inference
Volume49
Issue number3
DOIs
StatePublished - Feb 1 1996

Keywords

  • BTCRC designs
  • BTIB designs
  • Designs for two-way elimination of heterogeneity
  • Multiple comparisons with a control

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty
  • Applied Mathematics

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