Vol: 31 Page: 31

Authors:
Bronisław Ceranka
Małgorzata Graczyk

Title:
 Optimal chemical balance weighing designs under a restriction on the number of weighing operations

Language: Polish

Keywords:
chemical balance weighing design
ternary balanced block design

Summary:
The paper deals with the problem of estimating unknown weights in the chemical balance weighing design under the restriction on the number of weighing operations. A lower bound for the variance of each of the estimated weights from this chemical balance weighing design is obtained and a necessary and sufficient condition for this lower bound to be attained is given. The incidence matrix of ternary balanced block design is use to construct optimum chemical balance weighing design.