ON THE CONSTRUCTION OF ORTHOGONAL BALANCED INCOMPLETE BLOCK DESIGNS

Orthogonal Incomplete Block Designs are a generalization of Balanced Incomplete Block Designs, and are obtained by piling s Balanced In-complete Block Designs, s> 1, on top of one another. Orthogonal Balanced Incomplete Block Designs can be generated from a set of Ini-tial Block Design. A convenient way to represent the properties of the initial blocks is to use di®erence squares. The purpose of this study is to point out some connections between Orthogonal Balanced Incom-plete Block Designs and Di®erence Squares. It also gives the essential de¯nitions and properties of Orthogonal Incomplete Block Designs