Minimal repeated measurements designs balanced for residual effects in circular periods of three different sizes. (English) Zbl 1418.05029

Rasheed, Muhammad; Ismail, Muhammad; Shehzad, Farrukh; Ahmed, Rashid; Ali, Akbar

J. Stat. Theory Pract. 13, No. 2, Paper No. 31, 16 p. (2019).

Summary: The main focus of this article is to develop some infinite series to generate circular balanced repeated measurements designs in periods of three different sizes, using method of cyclic shifts (Rule II). Some construction procedures are also developed for the cases where series are not developed. Catalogues of these designs are also presented. These designs have diversified application with varied period sizes, e.g., medicine, pharmacology, animal sciences and psychology. These designs are mainly used to balance out the residuals effects.

MSC:

05B05	Combinatorial aspects of block designs
62K10	Statistical block designs
62K05	Optimal statistical designs

Keywords:

repeated measurements designs; residual effects; circular balanced repeated measurement designs; minimal designs

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