On bounds for the efficiency of block designs for comparing test treatments with a control

John Stufken

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

In this paper we study the class of augmented balanced incomplete block designs, which are used for comparing a control treatment with a set of test treatments. Under the A- criterion we establish a condition that enables us to determine the most efficient augmented design and we suggest some methods to compute a lower bound for the efficiency of these designs. For 3≤k≤10, v≥k, we list the parameters of the most efficient designs with a lower bound for their efficiency or, if known, mention their optimality.

Original languageEnglish (US)
Pages (from-to)361-372
Number of pages12
JournalJournal of Statistical Planning and Inference
Volume19
Issue number3
DOIs
StatePublished - 1988
Externally publishedYes

Fingerprint

Block Design
Lower bound
Balanced Incomplete Block Design
Optimality
Design
Lower bounds

Keywords

  • 62K10
  • A-optimality
  • augmented BIB designs
  • Control-test treatment comparisons

ASJC Scopus subject areas

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

Cite this

On bounds for the efficiency of block designs for comparing test treatments with a control. / Stufken, John.

In: Journal of Statistical Planning and Inference, Vol. 19, No. 3, 1988, p. 361-372.

Research output: Contribution to journalArticle

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