A Regular D‑optimal Weighing Design with Negative Correlations of Errors

Małgorzata Graczyk; Bronisław Ceranka

doi:10.18778/0208-6018.344.01

Authors

Małgorzata Graczyk Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering Department of Mathematical and Statistical Methods https://orcid.org/0000-0002-5550-7007
Bronisław Ceranka Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering Department of Mathematical and Statistical Methods https://orcid.org/0000-0002-5395-1593

DOI:

https://doi.org/10.18778/0208-6018.344.01

Keywords:

balanced bipartite weighing design, balanced incomplete block design, chemical balance weighing design, optimal design

Abstract

The issues concerning optimal estimation of unknown parameters in the model of chemical balance weighing designs with negative correlated errors are considered. The necessary and sufficient conditions determining the regular D‑optimal design and some new construction methods are presented. They are based on the incidence matrices of balanced incomplete block designs and balanced bipartite weighing designs.

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