A New Series of Affine Resolvable PBIB(4) Designs in Two Replicates

Akhilesh Jha1, Cini Varghese1, Eldho Varghese2, Mohd. Harun1, Seema Jaggi1, Arpan Bhowmik1
1ICAR-Indian Agricultural Statistics Research Institute, Library Avenue, Pusa, New Delhi, India — 110 012
2ICAR-Central Marine Fisheries Research Institute, Kochi, India – 682 018

Abstract

A new series of four-associate class partially balanced incomplete block designs in two replications has been proposed. The blocks of these designs are of two different sizes. The blocks can be divided into two groups such that every treatment appears in each group exactly once, and any two blocks belonging to two different groups have a constant number of treatments in common, i.e., these designs are affine resolvable.

Keywords: Association scheme, Affine resolvable, Partially balanced incomplete block designs, Unequal block sizes