Optimal crossover designs in a model with self and mixed carryover effects

J. Kunert, J. Stufken

Research output: Contribution to journalArticle

42 Scopus citations


We consider a variant of the usual model for crossover designs with carryover effects. Instead of assuming that the carryover effect of a treatment is the same regardless of the treatment in the next period, the model assumes that the carryover effect of a treatment on itself is different from the carryover effect on other treatments. For the traditional model, optimal designs tend to have pairs of consecutive identical treatments; for the model considered here, they tend to avoid such pairs. Practitioners have long expressed reservations about designs that exhibit such pairs and about the traditional model. The new model provides an attractive alternative that leads to appealing optimal designs.

Original languageEnglish (US)
Pages (from-to)898-906
Number of pages9
JournalJournal of the American Statistical Association
Issue number459
StatePublished - Sep 1 2002



  • Balance for carryover effects
  • Balanced block design
  • Generalized Latin square
  • Optimal design
  • Universal optimality

ASJC Scopus subject areas

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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