A new series of efficient partially balanced incomplete block designs with minimal replications

In this study, a new series of three associate class partially balanced incomplete block (PBIB) designs in two replicates have been proposed, along with their underlying association scheme. General expressions for average variance and for canonical efficiency factors have been derived for this class of designs. The efficiencies of these designs are observed to be quite high in comparison to an orthogonal block design. A list of designs has been prepared for various parametric combinations. As treatments require minimum number of replications in these designs, they can be advantageously used when there is scarcity in resources.