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Some new construction of circular weakly balanced repeated measurements designs in periods of two different sizes

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  • Sajid Hussain
  • Rashid Ahmed
  • Muhammad Aslam
  • Azhar Shah
  • H. M. Kashif Rasheed

Abstract

Balanced repeated measurements designs (RMDs) balance out the residual effects. Williams Latin square designs work as minimal combinatorial balanced as well as variance balanced for RMDs for p (period sizes) = v (number of treatments). If minimal balanced RMDs cannot be constructed for the situations where p must be less than v then weakly balanced RMDs should be preferred. In this article, some generators are developed to generate circular weakly balanced RMDs in periods of two different sizes. To obtain the proposed designs, some construction procedures are also described for some of the cases where we could not develop generators.

Suggested Citation

  • Sajid Hussain & Rashid Ahmed & Muhammad Aslam & Azhar Shah & H. M. Kashif Rasheed, 2020. "Some new construction of circular weakly balanced repeated measurements designs in periods of two different sizes," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(9), pages 2253-2263, May.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:9:p:2253-2263
    DOI: 10.1080/03610926.2019.1570263
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