• SOME CONTRIBUTION IN THE CONSTRUCTION OF A-OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS

Rashmi Awad*, Shakti Banerjee

Abstract


Some new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the known symmetric balanced incomplete block designs. In this paper, we also provide the conditions under which the new constructed chemical balance weighing designs become A-optimal. Several results related to A-optimality of previously constructed optimum chemical balance weighing designs are also been given.


Keywords


Balance incomplete block design; symmetric balanced incomplete block design; variance balanced design; efficiency balanced design; weighing design; chemical balance weighing design; optimum chemical balance weighing design, A-optimal chemical balance weig

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