Vol: 35 Page: 33

Authors:
Bronisław Ceranka
Małgorzata Graczyk

Title:
 Optimum chemical balance weighing designs with negative correlated errors based on ternary designs

Language: English

Keywords:
chemical balance weighing design
ternary balanced block design

Summary:
The paper is studying the estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number of times in which each object is weighed. It is assumed that the errors have the same variances and they are equally negative correlated. The necessary and sufficient conditions under which the lower bound of variance of each of the estimated weights is attained are given. For construction of the design matrix of the optimum chemical balance weighing design the set of the incidence matrices of the ternary balanced block designs is used.