Circular Binary Block Second- and Higher-Order Neighbor Designs

Abstract

Some new neighbor designs are presented here. Second-order neighbor designs for different configurations are generated in circular binary blocks. Third-order and fourth-order neighbor designs for some cases are also constructed. In all cases, circular blocks are well separated and these designs are obtained through initial block/s. At the end of the study, some models for analysis of these designs are also presented.

Keywords:

• Fourth-order neighbor designs
• Second-order neighbor designs
• Third-order neighbor designs
• Universally optimal designs

Mathematics Subject Classification:

• 05B05
• 62K10
• 62K05

Acknowledgment

The valuable comments of the referees are highly acknowledged as it contributed to the improvement of the article.