On group divisible treatment designs for comparing test treatments with a standard treatment in blocks of size 3

John Stufken

Research output: Contribution to journalArticle

3 Scopus citations

Abstract

When comparing test treatments with a standard treatment in incomplete blocks, two classes of designs that are useful are the so called balanced treatment incomplete block designs and the group divisible treatment designs. The latter class of designs includes the former, but the design construction problem has, except for some scattered results, only received attention forthe balanced incomplete block designs. This paper provides, in some sense, a complete solution for the construction of group divisible treatment designs for k=3 and v{script}=4 or 6, two cases that are among those of most practical interest.

Original languageEnglish (US)
Pages (from-to)205-221
Number of pages17
JournalJournal of Statistical Planning and Inference
Volume28
Issue number2
DOIs
StatePublished - Jun 1991

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Keywords

  • Balanced treatment incomplete block designs
  • admissible designs
  • generator designs
  • optimal designs

ASJC Scopus subject areas

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

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