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 Citations (Scopus)

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 - 1991
Externally publishedYes

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Divisible
Incomplete Block Design
Balanced Incomplete Block Design
Design
Standards
Class

Keywords

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

ASJC Scopus subject areas

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

Cite this

On group divisible treatment designs for comparing test treatments with a standard treatment in blocks of size 3. / Stufken, John.

In: Journal of Statistical Planning and Inference, Vol. 28, No. 2, 1991, p. 205-221.

Research output: Contribution to journalArticle

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