New classes of D-optimal chemical balance weighing designs with correlated errors

Graczyk, Małgorzata; Ceranka, Bronisław; Oliveira, Teresa

doi:10.2478/bile-2025-0012

Abstract

This study presents several results concerning the determination of chemical balance weighing designs that satisfy the criterion of D-optimality. The designs are examined under the assumption that all measurements exhibit equal positive correlation and identical variances. We introduce a method for augmenting a regular D-optimal chemical balance weighing design with additional measurements in order to obtain a highly D-efficient chemical balance weighing design.

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New classes of D-optimal chemical balance weighing designs with correlated errors

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