Minimal circular strongly balanced repeated measurements designs in periods of three different sizes

Abstract

Repeated measurements designs (RMD) are widely used in medicine, pharmacology, animal sciences, and psychology. If there is a restriction on the total number of treatments, some experimental units can receive on the total length of time while some experimental units can remain in the trial, then RMD in periods of unequal sizes should be used. In this article, some infinite series are developed to generate the minimal circular strongly balanced RMD in periods of three different sizes p1, p2, and p3, where 2 ≤ p3 < p2 ≤ 10.