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

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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… Click to show full abstract

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.

Keywords: weakly balanced; circular weakly; balanced rmds; measurements designs; balanced repeated; repeated measurements

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2019

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