Chapter

Innovations in Classification, Data Science, and Information Systems

Part of the series Studies in Classification, Data Analysis, and Knowledge Organization pp 111-119

Chemical Balance Weighing Design with Different Variances of Errors

  • Bronisław CerankaAffiliated withDepartment of Mathematical and Statistical Methods, Agricultural University of Poznań
  • , Małgorzata GraczykAffiliated withDepartment of Mathematical and Statistical Methods, Agricultural University of Poznań

* Final gross prices may vary according to local VAT.

Get Access

Abstract

The paper is studying the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number of times in which each object is weighed. We assume that errors are uncorrelated with different variances. The necessary and sufficient condition under which the lower bound of variance of each of the estimated weights is attained is given. For a new construction method of the optimum chemical balance weighing design we use the incidence matrices of the balanced incomplete block designs and the ternary balanced block designs.