General Method of Construction of Constant Block Sum PBIB Designs With Two Replicates

Abstract

  A recent article by Yadav et al. (2024) presents two series of the constant block sum partially balanced incomplete block designs for number of treatments. The important feature was that the number of replicates r=2 and pairwise replication parameters  (  λ, λ, λ)=(2,1,0).  In the present article, it has been shown that with the same parameters values of r and  λ, s, such restrictions can be relaxed and with the help of (nearly) magic rectangles, a much larger choice of designs can be made available.