Optimal cross-over designs for full interaction models

Rosemary Anne Bailey, Pierre Druilhet

Research output: Contribution to journalArticlepeer-review

7 Citations (Scopus)
3 Downloads (Pure)


We consider repeated measurement designs when a residual or carry-over effect may be present in at most one later period. Since assuming an additive model may be unrealistic for some applications and leads to biased estimation of treatment effects, we consider a model with interactions between carry-over and direct treatment effects. When the aim of the experiment is to study the effects of a treatment used alone, we obtain universally optimal approximate
designs. We also propose some efficient designs with a reduced number of subjects.
Original languageEnglish
Pages (from-to)2282-2300
Number of pages19
JournalAnnals of Statistics
Issue number6
Early online date24 Oct 2014
Publication statusPublished - Dec 2014


  • Cross-over designs
  • Repeated measurement designs
  • Interference models
  • Optimal design
  • Total effects


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