Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs

Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained. In this research, we have significantly shown that the obtained designs are pairwise balanced as well as efficiency balanced. The only limitation of this research is that the obtained pairwise balanced designs are all have large number of replications.