Some Classes of Binary Block Neighbor Designs

Abstract

Neighbor designs are useful to neutralize the neighbor effects. In this paper two classes of these designs are constructed in circular binary blocks of size 4, 8, …, 24. First class consists of six infinite series of nearest neighbor designs in which each pair of distinct treatments appears once as neighbors. Second class also deals with six infinite series of these designs in which each pair of distinct treatments appears twice as neighbors. A catalog of nearest neighbor designs is also compiled in circular binary blocks for odd number of treatments from 23 to 99.

Keywords:

• Circular binary block
• Neighbor designs
• Neighbor effects

• Mathematics Subject Classification  Primary 05B05
• Secondary 62K10

Acknowledgments

Authors are thankful to the reviewer for valuable suggestions.