Non binary partially neighbor balanced designs for circular blocks

ABSTRACT

Neighbor designs are recommended for the cases where the performance of treatment is affected by the neighboring treatments as in biometrics and agriculture. In this paper we have constructed two new series of non binary partially neighbor balanced designs for v = 2n and v = 2n+1 number of treatments, respectively. The blocks in the design are non binary and circular but no treatment is ever a neighbor to itself. The designs proposed here are partially balanced in terms of nearest neighbors. No such series are known in the literature.

KEYWORDS:

• Cyclic blocks
• Neighbor designs
• Non binary designs
• Partially neighbor balanced designs.

Mathematics Subject Classification:

• Statistics

Acknowledgments

The authors are highly grateful to the reviewer for the constructive comments, which contributed toward the improvement of this paper.