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In experiments related to agriculture, psychology, medicine, animal sciences, pharmacology, and other fields, repeated measurements designs (RMDs) are utilized which are economical design. However, the use of these designs may result in carryover effects, which are the primary cause of bias. Balanced or strongly balanced RMDs can control these effects. Strongly balanced RMDs estimate the direct effects and carryover effects independently; therefore, these designs have an edge over the balanced RMDs. In this article, therefore, some general procedures are presented to obtain minimal circular strongly and nearly strongly balanced RMDs in periods of k different sizes with high efficiency of Separability and of carryover effects.
Rasheed et al. (Mon,) studied this question.