Circular Strongly Balanced Repeated Measurements Designs

Abstract

Magda (1980 Magda , C. G. ( 1980 ). Circular balanced repeated measurements designs . Commun. Statist. Theor. Meth. 9 : 1901 – 1918 .[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) and Hedayat (1981 Hedayat , A. S. ( 1981 ). Repeated measurements designs-IV: recent advances (with discussion) . Bull. Int. Statist. Inst. 1 : 591 – 610 . [Google Scholar]) first considered the construction of circular strongly balanced repeated measurements designs. Sen and Mukerjee (1987 Sen , M. , Mukerjee , R. ( 1987 ). Optimal repeated measurements designs under interaction . J. Statist. Plann. Infer. 17 : 81 – 91 .[Crossref], [Web of Science ®] , [Google Scholar]) and Roy (1988 Roy , B. K. ( 1988 ). Construction of strongly balanced uniform repeated measurements designs . J. Statist. Plann. Infer. 19 : 341 – 348 .[Crossref], [Web of Science ®] , [Google Scholar]) considered the optimality and existence of circular strongly balanced repeated measurements designs based on the method of differences and Hamiltonian decomposition of lexicographic product of two graphs. In this article, we consider the construction of circular strongly balanced repeated measurements designs using the newly proposed method called cyclic shifts, and propose some new designs for p < v.

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