Some important classes of generalized neighbor designs for linear blocks

ABSTRACT

In this paper, some infinite series of generalized neighbor designs are constructed for the linear blocks which are useful to balance out the neighbor effects for the cases where (a) one of the v treatments has some neighbor effects with other treatments, while remaining (v – 1) treatments have half of that neighbor effect among selves, (b) some of the v treatments have some neighbor effect with other treatments, while remaining treatments have half of that neighbor effect among themselves, (c) one of the v treatments has some neighbor effect with other treatments, while remaining (v – 1) treatments have double of that effect among themselves, and (d) some of the v treatments have some neighbor effect with other, while remaining treatments have double of it among themselves.

KEYWORDS:

• Generalized neighbor design
• Linear block
• Neighbor-balanced design
• Neighbor effects

MATHEMATICS SUBJECT CLASSIFICATION:

• 05B05
• 62K10

Acknowledgments

Authors are thankful to the referee for the valuable suggestions and corrections, which made the manuscript worth publishing.