Unified Method for Constructing PBIB (Partially Balanced Incomplete Block) Designs Based on Triangular and L2 Schemes.

摘要

A general and simple method for constructing triangular and L2 type partially balanced incomplete block (PBIB) designs is presented. This method unifies several well-known methods and produces many new series of designs. The idea is based on a well-known relation between triangular and L2 type PBIB designs and line graphs. Triangular or L2 type PBIB designs can often be obtained by suitably symmetrizing a given initial block. (Author)