Relations between optimum biased spring balance weighing designs and optimum chemical balance weighing designs with non-homogeneity of the variances of errors

Authors:

• B. Ceranka,
• Krystyna Katulska

Abstract

This paper deals with the problem of estimating the individual weights of objects with minimum variances by using a weighing design with non-homogeneity of the variances of errors in the model. The necessary and sufficient conditions for optimum biased spring balance weighing designs with non-homogeneity of the variances of errors and for optimum chemical balance weighing designs with non-homogeneity of the variances of errors are given and the relations between these designs are investigated. New optimum weighing designs are also found. © 1995 Plenum Publishing Corporation.