D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors

Małgorzata Graczyk; Bronisław Ceranka

doi:10.2478/bile-2020-0004

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D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors

Biometrical Letters

Volume 57 (2020): Issue 1 (June 2020)

By: Małgorzata Graczyk and Bronisław Ceranka

Open Access

|Jun 2020

Abstract

In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are described, and some construction examples are given.

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Articles in this issue

DOI: https://doi.org/10.2478/bile-2020-0004 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 37 - 52

Published on: Jun 12, 2020

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

agricultural experiment,

chemical balance weighing design,

diagonal covariance matrix,

D-optimality

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

© 2020 Małgorzata Graczyk, Bronisław Ceranka, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Volume 57 (2020): Issue 1 (June 2020)