A study of the efficiency of chemical balance weighing designs

Małgorzata Graczyk; Bronisław Ceranka

doi:10.2478/bile-2025-0005

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A study of the efficiency of chemical balance weighing designs

Biometrical Letters

Volume 62 (2025): Issue 1 (June 2025)

By: Małgorzata Graczyk and Bronisław Ceranka

Open Access

|Jun 2025

Abstract

Some elements concerning the problem of determining chemical balance designs are considered. A method is presented for determining the best design in classes where no D-optimal design exists. In this case, we obtain a design that is highly D-efficient. The efficiency of such a design is presented as a function of the number of parameters and measurements, and its properties are studied. Charts showing the efficiency function for selected classes of designs are presented.

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Articles in this issue

DOI: https://doi.org/10.2478/bile-2025-0005 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 91 - 100

Published on: Jun 30, 2025

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

chemical balance weighing,

design plan of experiment,

D-optimality

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

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

Volume 62 (2025): Issue 1 (June 2025)