On optimality and construction of circular repeated-measurements designs

Rosemary Anne Bailey, Peter Jephson Cameron, Katarzyna Filipiak, Joachim Kunert, Augustyn Markiewicz

Research output: Contribution to journalArticlepeer-review

10 Citations (Scopus)


The aim of this paper is to characterize and construct universally optimal designs among the class of circular repeated-measurements designs when the parameters do not permit balance for carry-over effects. It is shown that some circular weakly neighbour balanced designs defined by Filipiak and Markiewicz (2012) are universally optimal repeated-measurements designs. These results extend the work of Magda (1980), Kunert (1984b) and Filipiak and Markiewicz (2012).
Original languageEnglish
Pages (from-to)1-22
Number of pages22
JournalStatistica Sinica
Issue number1
Publication statusPublished - Jan 2017


  • Circular weakly balanced design
  • Repeated-mesaurements design
  • Uniform design
  • Universal optimality


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