Minimal circular efficient generalized strongly balanced repeated measurements designs

Abstract

Repeated measurements designs (RMDs) are mostly used in animal sciences, pharmacology, medicine, and animal husbandry, etc. But residual effects are often a serious problem in such experiments. In literature, minimal strongly balanced RMDs have been introduced to overcome this problem under low budget constraints, but these designs cannot be constructed for every number of treatments and period sizes. As an alternate, generalized strongly balanced RMDs can be preferred since they yield results close to those of strongly balanced RMDs. Here, some generators are proposed for generalized strongly balanced RMDs which possess the high efficiency of Separability.

Keywords:

• Carry over effects
• cyclic shifts
• extra balanced RMDs
• highly efficient designs

2010 Mathematics Subject Classification:

• 05B05
• 62K10
• 62K05

Acknowledgment

Authors are thankful to the anonymous reviewers for their valuable corrections and suggestions.