Some new generators to obtain efficient circular weakly balanced repeated measurements designs

Abstract

Minimal balanced repeated measurements designs (RMDs) are not possible to construct in several experimental situations. In these situations, weakly balanced RMDs are preferred which demand less experimental subjects without loss of efficiency. In this article, several generators are developed to construct the minimal circular weakly balanced RMDs in periods of (i) equal sizes, (ii) two different sizes, and (iii) three different sizes. All these constructions possess high efficiency and save the cost of experiments due to less number of experimental subjects.

Keywords:

• Treatment effects
• residual effects
• method of cyclic shifts
• traditional model
• efficiency of separability

MATHEMATICS SUBJECT CLASSIFICATION:

• 05B05
• 62K10
• 62K05

Acknowledgment

Authors are highly thankful to the Reviewer for the valuable suggestions and corrections which have improved the readability of the manuscript.