Construction of Cross-Over Designs for Comparing Test Treatments with Control Using Terraces

Abstract

Segregated half-and-half and mutually orthogonal power sequence terraces have been used in this article for the construction of some new families of control balanced cross-over designs, which are Schur-optimal. One of the advantages of using terraces is that designs with larger number of treatments can also be constructed with relative ease. Designs up to 17 treatments have been constructed in this article.

Keywords:

• Control balanced cross-over designs
• Control treatment
• Cross-over designs
• Narcissistic half-and-half power-sequence terraces
• Power-sequence terraces
• Test treatments

Mathematical Subject Classification:

• Primary 62K10
• Secondary 05B30

Acknowledgments

The authors are very grateful to the reviewers for their suggestions and for giving very useful comments that have considerably improved results contained in the article.