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.

KEYWORDS:

• Repeated measurements designs
• Balanced repeated measurements designs
• Circular balanced repeated measurements designs
• Minimal circular strongly balanced repeated measurements designs.

MATHEMATICS SUBJECT CLASSIFICATION (2010):

• 05B05
• 62K10
• 62K05

Acknowledgments

Authors are thankful to the Reviewers for the valuable suggestions and corrections.

Funding

Authors are also highly grateful to the Higher Education Commission Pakistan Research and Development Division National Research Program for Universities for providing grant for this research (Grant No. 6294/Punjab/NRPU/R&D/HEC/2016).