Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors

Authors

  • Małgorzata Graczyk Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Poland image/svg+xml
  • Bronisław Ceranka Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Poland image/svg+xml https://orcid.org/0000-0002-5395-1593

DOI:

https://doi.org/10.18778/0208-6018.368.02

Keywords:

chemical balance weighing design, D-efficient design, D-optimal design

Abstract

In this paper, some problems that concern the determining of unknown measurements of objects in the model of a chemical balance weighing design are presented. These designs are tested under the assumption that measurement errors are correlated and have the same variances. The relations between the parameters of a weighing design are considered from the point of view of the D-optimality criterion. We give some conditions determining the dependencies between the parameters of such designs and construction examples.

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References

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Published

2024-09-23

How to Cite

Graczyk, M., & Ceranka, B. (2024). Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors. Acta Universitatis Lodziensis. Folia Oeconomica, 36–45. https://doi.org/10.18778/0208-6018.368.02

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