Minimal circular balanced repeated measurement designs in unequal period sizes

Abstract

Repeated measurement designs (RMDs) are widely used in medicine, pharmacology, animal sciences and psychology. In these fields, there are several situations where these designs should be used in periods of different sizes. With the use of RMD, residual effects or carry over effects may arise and balanced RMDs are solution to this problem. In this article, therefore, some infinite series are developed through method of cyclic shifts to obtain circular balanced repeated measurements designs in periods of two different sizes.

Keywords:

• Balanced repeated measurement designs
• circular balanced repeated measurement designs
• minimal circular balanced repeated measurement designs
• Repeated measurement designs

Acknowledgement

Authors are grateful to the Reviewers for their valuable suggestions and comments which improved the readability and worth of the manuscript. First and second authors are also grateful to the Higher Education Commission Research and Development Division National Research Program for Universities for providing grant for this research. No: 6294/Punjab/NRPU/R&D/HEC/2016.