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

Małgorzata Graczyk; Bronisław Ceranka; Teresa Oliveira

doi:10.2478/bile-2025-0012

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

Biometrical Letters

Volume 62 (2025): Issue 2 (December 2025)

By: Małgorzata Graczyk, Bronisław Ceranka and Teresa Oliveira

Open Access

|Dec 2025

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.

References

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Articles in this issue

DOI: https://doi.org/10.2478/bile-2025-0012 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 215 - 225

Published on: Dec 31, 2025

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

chemical balance weighing,

D-optimality,

design of experiments

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

© 2025 Małgorzata Graczyk, Bronisław Ceranka, Teresa Oliveira, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 62 (2025): Issue 2 (December 2025)