Discussiones Mathematicae Probability and Statistics 21(2) (2001) 111-120

OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS UNDER THE RESTRICTION ON WEIGHINGS

 Bronisław Ceranka and Małgorzata Graczyk

 Department of Mathematical and Statistical Methods
Agricultural University of Poznań
Wojska Polskiego 28, 60-637 Poznań, Poland

e-mail: bronicer@au.poznan.pl
e-mail:
magra@au.poznan.pl

Abstract

The paper deals with the problem of estimating individual weights of objects, using a chemical balance weighing design under the restriction on the number in which each object is weighed. 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 used to construct optimum chemical balance weighing design under the restriction on the number in which each object is weighed.

Keywords: chemical balance weighing design, ternary balanced block design.

2000 Mathematics Subject Classification: 62K15.

References

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Received 12 December 2001