Some families of optimal and efficient repeated measurements designs

John Stufken

Research output: Contribution to journalArticlepeer-review

48 Scopus citations


Conditions that ensure simple information matrices for the estimation of direct and residual treatment effects under an additive, homoscedastic model are given. Examples of designs that satisfy these conditions are presented. For the number of periods not exceeding the number of treatments designs that satisfy the conditions are derived from orthogonal arrays of index unity. Their efficiency is considered and some of them, as well as some other designs, are shown to be universally optimal over certain subclasses of designs.

Original languageEnglish (US)
Pages (from-to)75-83
Number of pages9
JournalJournal of Statistical Planning and Inference
Issue number1
StatePublished - Jan 1991


  • Direct and residual effects
  • balanced and strongly balanced designs
  • efficient designs
  • orthogonal arrays
  • orthogonal arrays of Type I
  • universal optimality

ASJC Scopus subject areas

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


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