Incomplete Block Designs for Comparing Test Treatments with Multiple Controls

Background: This article provides some new construction methods of partially balanced bipartite block (PBBB) designs for comparing test treatments with more than one control. Methods: Partially balanced incomplete block (PBIB) designs based on some association schemes such as group divisible association, and cyclic association are used for developing these methods of construction. Result: A catalogue of efficient PBBB designs is included for parameter values n1 (number of test treatments) ≤10, n2 (number of control treatments) ≤10 and r2 (replications of test treatments) and (replications of control treatments) ≤15 along with computed variances using SAS code.