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On optimality and construction of circular repeated-measurements designs

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Bailey_2016_Optimality_StatSinica_AAM.pdf (385.3Kb)
Date
01/2017
Author
Bailey, Rosemary Anne
Cameron, Peter Jephson
Filipiak, Katarzyna
Kunert, Joachim
Markiewicz, Augustyn
Keywords
Circular weakly balanced design
Repeated-mesaurements design
Uniform design
Universal optimality
HA Statistics
QA Mathematics
QH301 Biology
T-NDAS
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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).
Citation
Bailey , R A , Cameron , P J , Filipiak , K , Kunert , J & Markiewicz , A 2017 , ' On optimality and construction of circular repeated-measurements designs ' , Statistica Sinica , vol. 27 , no. 1 , pp. 1-22 . https://doi.org/10.5705/ss.202015.0045
Publication
Statistica Sinica
Status
Peer reviewed
DOI
https://doi.org/10.5705/ss.202015.0045
ISSN
1017-0405
Type
Journal article
Rights
© 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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  • University of St Andrews Research
URI
http://hdl.handle.net/10023/10092

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