Abstract

The paper consists of three new construction-methods of Partially Balanced Ternary (PBT) design, (i) using the association matrices of Bose and Mesner (1959), (ii) starting from two Partially Balanced Incomplete Block (PBIB) designs on same association scheme having same number of treatments and different block-sizes such that the block-size of one of the designs is twice that of another and (iii) using a Nested Partially Balanced Incomplete Block (NPBIB) design. It also gives some new PBT designs whose existence appears to have been unknown until now.

Author: K.K. Singh Meitei

Received on: January, 2005

Accepted on: April, 2007