| dc.contributor.author | Ceranka, Bronisław | |
| dc.contributor.author | Graczyk, Małgorzata | |
| dc.date.accessioned | 2017-04-04T09:25:28Z | |
| dc.date.available | 2017-04-04T09:25:28Z | |
| dc.date.issued | 2016 | |
| dc.identifier.issn | 0208-6018 | |
| dc.identifier.uri | http://hdl.handle.net/11089/21142 | |
| dc.description.abstract | In this paper, we consider the problems related to the determining plan of the experiment performed according to the model of the chemical balance weighing design under additional assumption that the experimental errors are equally negatively correlated. This problem is studied from the point of view of D-optimality of such a design. We give new a construction method of D-optimal chemical balance weighing design and the list of possible experimental plans. | en_GB |
| dc.description.abstract | W pracy rozważamy problematykę związaną z wyznaczeniem planu eksperymentu wykonanego zgodnie z modelem chemicznego układu wagowego przy założeniu, że błędy pomiarów są jednakowo ujemnie skorelowane. Powyższe zagadnienie rozważamy z punktu widzenia D-optymalności. Podajemy nową metodę konstrukcji D-optymalnego chemicznego układu wagowego oraz listę proponowanych planów eksperymentu. | pl_PL |
| dc.language.iso | en | en_GB |
| dc.publisher | Wydawnictwo Uniwersytetu Łódzkiego | en_GB |
| dc.relation.ispartofseries | Acta Universitatis Lodziensis. Folia Oeconomica;322 | |
| dc.subject | balanced incomplete block design | en_GB |
| dc.subject | chemical balance weighing design | en_GB |
| dc.subject | D-optimality | en_GB |
| dc.subject | ternary balanced block design | en_GB |
| dc.subject | chemiczny układ wagowy | pl_PL |
| dc.subject | D-optymalność | pl_PL |
| dc.subject | trójkowy zrównoważony układ bloków | pl_PL |
| dc.subject | układ zrównoważony o blokach niekompletnych | pl_PL |
| dc.title | About Some Properties and Constructions of Experimental Designs | en_GB |
| dc.title.alternative | O pewnych własnościach i konstrukcjach układów doświadczalnych | pl_PL |
| dc.type | Article | en_GB |
| dc.rights.holder | © Copyright by Uniwersytet Łódzki, Łódź 2016 | en_GB |
| dc.page.number | [73]-85 | |
| dc.contributor.authorAffiliation | Poznań University of Life Science, Department of Mathematical and Statistical Methods | |
| dc.identifier.eissn | 2353-7663 | |
| dc.references | Banerjee K.S. (1975), Weighing Designs for Chemistry, Medicine. Economics, Operations Research, Statistics, Marcel Dekker Inc., New York. | pl_PL |
| dc.references | Billington E.J. (1984), Balanced n-ary designs: a combinatorial survey and some new results, “Ars Combin.” vol. 17 A, pp. 133–144. | pl_PL |
| dc.references | Ceranka B., Graczyk M. (2014a), The problem of D-optimality in some experimental designs, “International Journal of Mathematics and Computer Application Research” vol. 4, pp. 11–18. | pl_PL |
| dc.references | Ceranka B., Graczyk M. (2014b), Construction of the regular D-optimal weighing designs with non-negative correlated errors, “Colloquium Biometricum” nr 44, s. 43–56. | pl_PL |
| dc.references | Ceranka B., Graczyk M. (2014c), Regular D-optimal weighing designs with negative correlated errors: construction, “Colloquium Biometricum” nr 44, s. 57–68. | pl_PL |
| dc.references | Ceranka B., Graczyk M. (2014d), Regular D-optimal spring balance weighing designs: construction, “Acta Universitatis Lodziensis, Folia Oeconomica” nr 302, s. 111–125. | pl_PL |
| dc.references | Ceranka B., Graczyk M. (2015), On D-optimal chemical balance weighing designs, “Acta Universitatis Lodziensis, Folia Oeconomica” nr 311, s. 71–84. | pl_PL |
| dc.references | Jacroux M., Wong C.S., Masaro J.C. (1983), On the optimality of chemical balance weighing design, “Journal of Statistical Planning and Inference” vol. 8, pp. 213–240. | pl_PL |
| dc.references | Katulska K., Smaga Ł. (2013), A note on D-optimal chemical balance weighing designs and their applications, “Colloquium Biometricum” nr 43, s. 37−45. | pl_PL |
| dc.references | Masaro J., Wong Ch.S. (2008), D-optimal designs for correlated random vectors, “Journal of Statistical Planning and Inference” vol. 138, pp. 4093–4106. | pl_PL |
| dc.references | Rao C. R. (1973), Linear Statistical Inference and its Applications, John Wiley and Sons Inc., New York. | pl_PL |
| dc.references | Raghavarao D. (1971), Constructions and combinatorial problems in design of experiment, John Wiley and Sons, New York. | pl_PL |
| 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. | pl_PL |
| dc.references | Shah K.R., Sinha B.K. (1989), Theory of Optimal Designs, Springer-Verlag, Berlin. | pl_PL |
| dc.contributor.authorEmail | magra@up.poznan.pl | |
| dc.contributor.authorEmail | points2015@gmail.com | |
| dc.identifier.doi | 10.18778/0208-6018.322.08 | |
| dc.relation.volume | 3 | en_GB |
| dc.subject.jel | C10 | |
| dc.subject.jel | C90 | |
