On optimality and construction of circular repeated-measurements designs

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

doi:10.5705/ss.202015.0045

On optimality and construction of circular repeated-measurements designs

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

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Abstract

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 language	English
Pages (from-to)	1-22
Number of pages	22
Journal	Statistica Sinica
Volume	27
Issue number	1
DOIs	https://doi.org/10.5705/ss.202015.0045
Publication status	Published - Jan 2017

Keywords

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

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© 2017, the Author(s). This work is made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at http://www3.stat.sinica.edu.tw/statistica/stat.html / http://doi.org/10.5705/ss.202015.0045
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On optimality and construction of circular repeated-measurements designs

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