Vol: 43 Page: 37

Authors:
Krystyna Katulska
Łukasz Smaga

Title:
 A note on D-optimal chemical balance weighing designs and their applications

Language: English

Keywords:
chemical balance weighing design
correlated errors
D-optimality criterion

Summary:
In this paper, we consider the chemical balance weighing designs for estimation of individual unknown weights of objects using D-optimality criterion. We suppose that the random errors are equally non-negative correlated and they have equal variances. The upper bound of the determinant of the information matrix of weighing designs is proved. Some sufficient conditions for this upper bound to be attained are given. The construction of D-optimal designs, which satisfy this upper bound, is also presented. Some application of optimal weighing designs in bioengineering experiment given in the literature is also described.

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