Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors
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 p...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Lodz University Press
2024-09-01
|
| Series: | Acta Universitatis Lodziensis. Folia Oeconomica |
| Subjects: | |
| Online Access: | https://czasopisma.uni.lodz.pl/foe/article/view/21082 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1825206660530962432 |
|---|---|
| author | Małgorzata Graczyk Bronisław Ceranka |
| author_facet | Małgorzata Graczyk Bronisław Ceranka |
| author_sort | Małgorzata Graczyk |
| collection | DOAJ |
| description | 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. |
| format | Article |
| id | doaj-art-18df203a931b4549a2fbebf39adf1665 |
| institution | Kabale University |
| issn | 0208-6018 2353-7663 |
| language | English |
| publishDate | 2024-09-01 |
| publisher | Lodz University Press |
| record_format | Article |
| series | Acta Universitatis Lodziensis. Folia Oeconomica |
| spelling | doaj-art-18df203a931b4549a2fbebf39adf16652025-02-07T07:21:00ZengLodz University PressActa Universitatis Lodziensis. Folia Oeconomica0208-60182353-76632024-09-013368364510.18778/0208-6018.368.0220943Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated ErrorsMałgorzata Graczyk0Bronisław Ceranka1https://orcid.org/0000-0002-5395-1593Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, PolandPoznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, PolandIn 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.https://czasopisma.uni.lodz.pl/foe/article/view/21082chemical balance weighing designd-efficient designd-optimal design |
| spellingShingle | Małgorzata Graczyk Bronisław Ceranka Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors Acta Universitatis Lodziensis. Folia Oeconomica chemical balance weighing design d-efficient design d-optimal design |
| title | Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors |
| title_full | Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors |
| title_fullStr | Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors |
| title_full_unstemmed | Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors |
| title_short | Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors |
| title_sort | estimation of unknown object measures in a chemical weighing design with correlated errors |
| topic | chemical balance weighing design d-efficient design d-optimal design |
| url | https://czasopisma.uni.lodz.pl/foe/article/view/21082 |
| work_keys_str_mv | AT małgorzatagraczyk estimationofunknownobjectmeasuresinachemicalweighingdesignwithcorrelatederrors AT bronisławceranka estimationofunknownobjectmeasuresinachemicalweighingdesignwithcorrelatederrors |