Biometrical Letters

ISSN:1896-3811

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Volume (56) Number 2 pp. 215-238

Małgorzata Graczyk 1, Malwina Janiszewska 1

1Department of Mathematical and Statistical Methods, Poznań University of Life Sciences, 60-638, Poznań, Poland

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

Summary

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.

Keywords: Key words and phrases: balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design
https://content.sciendo.com/downloadpdf/journals/bile/56/2/article-p215.pdf Full text available in Adobe Acrobat format

DOI: 10.2478/bile-2019-0012

For citation:

MLA Graczyk, Małgorzata, and Malwina Janiszewska. "Remarks about a construction method for D-optimal chemical balance weighing designs." Biometrical Letters 56.2 (2019): 215-238. DOI: 10.2478/bile-2019-0012
APA Graczyk, M., & Janiszewska, M. (2019). Remarks about a construction method for D-optimal chemical balance weighing designs. Biometrical Letters 56(2), 215-238 DOI: 10.2478/bile-2019-0012
ISO 690 GRACZYK, Małgorzata, JANISZEWSKA, Malwina. Remarks about a construction method for D-optimal chemical balance weighing designs. Biometrical Letters, 2019, 56.2: 215-238. DOI: 10.2478/bile-2019-0012