Remarks about a construction method for D-optimal chemical balance weighing designs

Małgorzata Graczyk; Malwina Janiszewska

doi:10.2478/bile-2019-0012

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Remarks about a construction method for D-optimal chemical balance weighing designs

Biometrical Letters

Volume 56 (2019): Issue 2 (December 2019)

By: Małgorzata Graczyk and Malwina Janiszewska

Open Access

|Dec 2019

Abstract

This paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.

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Articles in this issue

DOI: https://doi.org/10.2478/bile-2019-0012 | Journal eISSN: 2199-577X | Journal ISSN: 1896-3811

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Language: English

Page range: 215 - 238

Published on: Dec 16, 2019

Published by: Polish Biometric Society

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Key words and phrases: balanced bipartite weighing design,

balanced incomplete block design,

chemical balance weighing design,

D-optimality,

ternary balanced block design

Related subjects:

Life sciences,

Bioinformatics,

Life sciences, other,

Mathematics,

Probability and statistics,

Applied mathematics

© 2019 Małgorzata Graczyk, Malwina Janiszewska, published by Polish Biometric Society
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License.

Volume 56 (2019): Issue 2 (December 2019)