Construction of PBIB Designs with Triangular and L2 Schemes

摘要

Simple methods of construction lead to families of PBIB designs with triangular and L sub 2 schemes. The construction can be carried out in a s dimensions to obtain PBOB designs with at most s associate classes. A family of such PBIB designs (indexed by the block size) has the desirable statistical property that a pair of distinct varieties appears in at most one block. (Author)