A Regular D‑optimal Weighing Design with Negative Correlations of Errors
| dc.contributor.author | Graczyk, Małgorzata | |
| dc.contributor.author | Ceranka, Bronisław | |
| dc.date.accessioned | 2022-03-24T12:11:51Z | |
| dc.date.available | 2022-03-24T12:11:51Z | |
| dc.date.issued | 2019-09-30 | |
| dc.identifier.issn | 0208-6018 | |
| dc.identifier.uri | http://hdl.handle.net/11089/41287 | |
| dc.description.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. | en |
| dc.description.abstract | W artykule rozważa się problematykę dotyczącą istnienia regularnego D‑optymalnego chemicznego układu wagowego przy założeniu, że błędy pomiarów są ujemnie skorelowane i mają takie same wariancje. Przedstawiono warunki konieczne i dostateczne, wyznaczające układ regularnie D‑optymalny oraz podano nowe metody konstrukcji. Są one oparte na macierzach incydencji układów zrównoważonych o blokach niekompletnych oraz dwudzielnych układów bloków. | pl |
| dc.language.iso | en | |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | pl |
| dc.relation.ispartofseries | Acta Universitatis Lodziensis. Folia Oeconomica;344 | en |
| dc.rights.uri | https://creativecommons.org/licenses/by/3.0/ | |
| dc.subject | balanced bipartite weighing design | en |
| dc.subject | balanced incomplete block design | en |
| dc.subject | chemical balance weighing design | en |
| dc.subject | optimal design | en |
| dc.subject | dwudzielny układ bloków | pl |
| dc.subject | chemiczny układ wagowy | pl |
| dc.subject | układ optymalny | pl |
| dc.subject | układ zrównoważony o blokach niekompletnych | pl |
| dc.title | A Regular D‑optimal Weighing Design with Negative Correlations of Errors | en |
| dc.title.alternative | Regularny D‑optymalny układ wagowy z ujemnie skorelowanymi błędami | pl |
| dc.type | Article | |
| dc.page.number | 7-16 | |
| dc.contributor.authorAffiliation | Graczyk, Małgorzata - Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering Department of Mathematical and Statistical Methods | en |
| dc.contributor.authorAffiliation | Ceranka, Bronisław - Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering Department of Mathematical and Statistical Methods | en |
| dc.identifier.eissn | 2353-7663 | |
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| dc.references | Ceranka B., Graczyk M. (2014a), On certain A‑optimal biased spring balance weighing designs, “Statistics in Transition New Series”, no. 15, pp. 317–326. | en |
| dc.references | Ceranka B., Graczyk M. (2014b), The problem of D‑optimality in some experimental designs, “International Journal of Mathematics and Computer Application Research”, no. 4, pp. 11–18. | en |
| dc.references | Ceranka B., Graczyk M. (2015), D‑optimal designs with negative correlated errors based on ternary designs: construction, “Colloquium Biometricum”, no. 45, pp. 35–45. | en |
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| dc.references | Ceranka B., Graczyk M. (2018), Regular D‑optimal weighing designs with non‑negative correlations of errors constructed from some block designs, “Colloquium Biometricum”, no. 48, pp. 1–17. | en |
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| dc.references | Raghavarao D., Padgett L. V. (2005), Block Designs, Analysis, Combinatorics and Applications, Series of Applied Mathematics 17, Word Scientific Publishing Co. Pte. Ltd., Singapore. | en |
| dc.references | Shah K. R., Sinha B. K. (1989), Theory of Optimal Designs, Springer‑Verlag, Berlin. | en |
| dc.contributor.authorEmail | Graczyk, Małgorzata - malgorzata.graczyk@up.poznan.pl | |
| dc.contributor.authorEmail | Ceranka, Bronisław - bronislaw.ceranka@up.poznan.pl | |
| dc.identifier.doi | 10.18778/0208-6018.344.01 | |
| dc.relation.volume | 5 |
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