Neighbor-Balanced Row-column Designs

Abstract

In this article, row-column designs incorporating directional neighbor effects have been studied. A row-column design is said to be neighbor balanced if every treatment has all other treatments appearing as a neighbor a constant number of times. We considered here three different situations under row-column setup incorporating neighbor effects viz., row-column design with one-sided neighbor effect, two-sided neighbor effect, and four-sided neighbor effect. The information matrices for all the situations for estimating the direct and neighbor effects of treatments have been derived. Methods of constructing neighbor-balanced row-column designs have been developed and its characterization properties have been studied.

Keywords:

• Circular design
• Neighbor effects
• Neighbor balanced row-column design
• Variance balanced

Mathematics Subject Classification:

• 62K99

Acknowledgments

We are grateful to the Editor and the referees for their valuable suggestions which helped in improving the quality of the manuscript.