Circular balanced repeated measurement designs in periods of three different sizes

Abstract

Repeated measurement designs 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 repeated measurements designs with unequal period sizes should be used. In this article, some infinite series are developed to generate the minimal balanced repeated measurement designs in periods of three different sizes p₁, p₂ and p₃, where 2 ≤ p₃ < p₂ ≤ 10 and p₂ < p₁.

Keywords:

• Balanced repeated measurement designs
• Circular balanced repeated measurement designs
• Minimal circular balanced repeated measurement designs
• Repeated measurement designs

MATHEMATICS SUBJECT CLASSIFICATION (2010):

• 05B05
• 62K10
• 62K05

Acknowledgments

The authors are highly grateful for the valuable suggestions which made the article self-explanatory. Authors H. M. Kashif Rashid, Rashid Ahmed and Farrukh Shehzad are highly grateful also to the Higher Education Commission Pakistan Research and Development Division National Research Program for Universities for providing grant for this research.

Disclosure statement

No potential conflict of interests was reported by the authors.

Additional information

Funding

This study was supported by Higher Education Commission Pakistan Research and Development Division National Research Program for Universities; Grant No: 6294/Punjab/NRPU/R&D/HEC/2016.