<abstract xmlns="http://www.w3.org/1999/xhtml">

<p>Some questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is based on the assumption that the measurements are equally positively correlated and have the same variances. In this paper, we present a method of adding three measurements to a regular D-optimal chemical balance weighing designs to obtain a highly D-efficient chemical balance weighing design. The problem formulated in this way is an extension of results contained in a paper previously published in <italic>Biometrical Letters</italic>.</p>
</abstract>

Some questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is based on the assumption that the measurements are equally positively correlated and have the same variances. In this paper, we present a method of adding three measurements to a regular D-optimal chemical balance weighing designs to obtain a highly D-efficient chemical balance weighing design. The problem formulated in this way is an extension of results contained in a paper previously published in Biometrical Letters.

D-optimal chemical balance weighing designs with positively correlated errors: part II

Department of Mathematical and Statistical Methods

Biometrical Letters

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Some questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is...

D-optimal chemical balance weighing designs with positively correlated errors: part II

Publié en ligne: 29 déc. 2023

Pages: 177 - 186

DOI: https://doi.org/10.2478/bile-2023-0012

Mots clés
chemical balance weighing, design plan of experiment, D-optimality

© 2023 Małgorzata Graczyk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

D-optimal chemical balance weighing designs with positively correlated errors: part II

Publié en ligne: 29 déc. 2023

Pages: 177 - 186

DOI: https://doi.org/10.2478/bile-2023-0012

Mots cléschemical balance weighing, design plan of experiment, D-optimality

© 2023 Małgorzata Graczyk et al., published by Sciendo

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.

Mots clés
chemical balance weighing, design plan of experiment, D-optimality