Notes on the Efficiency of Spring Balance Weighing Designs with Correlated Errors for An Even Number of Objects
DOI:
https://doi.org/10.18778/0208-6018.362.01Keywords:
D‑efficient design, spring balance weighing designAbstract
In this paper, some issues regarding the efficiency of spring balance weighing designs for a selected class are presented. We give some conditions determining the relations between the parameters of such designs and construction examples.
Downloads
References
Banerjee K.S. (1975), Weighing Designs for Chemistry, Medicine, Economics, Operation Research, Statistics, Marcell Dekker Inc, New York.
Google Scholar
Bulutoglu D.A., Ryan K.J. (2009), D-optimal and near D-optimal 2k fractional factorial designs of Resolution V , “Journal of Statistical Planning and Inference”, no. 139, pp. 16–22.
Google Scholar
DOI: https://doi.org/10.1016/j.jspi.2008.05.012
Ceranka B., Graczyk M. (2010), Some construction of optimum weighing designs, “Acta Universitatis Lodziensis. Folia Oeconomica”, no. 235, pp. 235–239.
Google Scholar
Ceranka B., Graczyk M. (2012), Notes on the optimum chemical balance weighing designs, “Acta Universitatis Lodziensis. Folia Oeconomica”, no. 269, pp. 91–101.
Google Scholar
Ceranka B., Graczyk M. (2014), On certain A-optimal biased spring balance weighing designs, “Statistics in Transition, New Series”, vol. 15(2), pp. 317–326.
Google Scholar
Ceranka B., Graczyk M. (2018), Highly D-efficient designs for even number of objects, “Revstat-Statistical Journal”, no. 16, pp. 475–486.
Google Scholar
Ceranka B., Graczyk M. (2019), Recent developments in D-optimal designs, “Communications in Statistics – Theory and Methods”, vol. 48, no. 6, pp. 1470–1480.
Google Scholar
DOI: https://doi.org/10.1080/03610926.2018.1433851
Ceranka B., Katulska K. (1987a), Zastosowanie optymalnych sprężynowych układów wagowych, „Siedemnaste Colloquium Metodologiczne z Agro-Biometrii”, PAN, pp. 98–108.
Google Scholar
Ceranka B., Katulska K. (1987b), Zastosowanie teorii sprężynowych układów wagowych do analizy doświadczeń z mieszankami, “Listy Biometryczne”, no. XXIV, pp. 17–26.
Google Scholar
Ceranka B., Katulska K. (1989), Application of the biased spring balance weighing theory to estimation of differences of line effects for legume content, “Biometrical Journal”, no. 31, pp. 103–110.
Google Scholar
DOI: https://doi.org/10.1002/bimj.4710310113
Gail Z., Kiefer J. (1982), Construction methods for D-optimum weighing designs when , “The Annals of Statistics”, no. 10, pp. 502–510.
Google Scholar
DOI: https://doi.org/10.1214/aos/1176345791
Gawande B.N., Patkar A.Y. (1999), Application of factorial design for optimization of Cyclodextrin Glycosyltransferase production from Klebsiella Pneumoniae AS–22, “Biotechnology and Bioengineering”, vol. 64, no. 2, pp. 168–173.
Google Scholar
DOI: https://doi.org/10.1002/(SICI)1097-0290(19990720)64:2<168::AID-BIT5>3.0.CO;2-5
Graczyk M. (2013), Some applications on weighing designs, “Biometrical Letters”, vol. 50(1), pp. 15–26.
Google Scholar
DOI: https://doi.org/10.2478/bile-2013-0014
Graczyk M., Ceranka B. (2022a), Regular D-optimal spring balance weighing designs with correlated errors, “Communication in Statistics: Theory and Methods” [to appear].
Google Scholar
DOI: https://doi.org/10.1080/03610926.2022.2154128
Graczyk M., Ceranka B. (2022b), Contribution to spring balance weighing designs, “Biometrical Letters”, vol. 59(1).
Google Scholar
DOI: https://doi.org/10.2478/bile-2022-0004
Jacroux M., Notz W. (1983), On the Optimality of Spring Balance Weighing Designs, “The Annals of Statistics”, no. 11, pp. 970–978.
Google Scholar
DOI: https://doi.org/10.1214/aos/1176346262
Katulska K., Smaga Ł. (2010), On some construction of D-optimal chemical balance weighing designs, “Colloquium Biometricum”, no. 40, pp. 37–45.
Google Scholar
Koukouvinos Ch. (1996), Linear models and D-optimal designs for , “Statistics and Probability Letters”, no. 26, pp. 329–332.
Google Scholar
DOI: https://doi.org/10.1016/0167-7152(95)00028-3
Raghavarao D. (1971), Constructions and Combinatorial Problems in Designs of Experiments, John Wiley Inc., New York.
Google Scholar
Shah K.R., Sinha B.K. (1989), Theory of Optimal Designs, Springer-Verlag, Berlin.
Google Scholar
DOI: https://doi.org/10.1007/978-1-4612-3662-7