Regular A-optimal Spring Balance Weighing Designs

Abstract

The problem of indicating an A-optimal spring balance weighing design providing that the measurement errors have different variances and are uncorrelated is considered. The lowest bound of the trace of the inverse information matrix is given and the conditions determining the optimal design are also presented. The incidence matrices of balanced incomplete block designs and group divisible designs are used in constructions of the regular A-optimal spring balance weighing design.