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2021 | 5 | 356 | 4-12

Article title

Notes on Selected Optimal Weighing Designs

Content

Title variants

Uwagi o wybranych optymalnych układach wagowych

Languages of publication

Abstracts

PL
W artykule zostały przedstawione zagadnienia związane z konstrukcją wysoce D‑efektywnych sprężynowych układów wagowych. Podane zostały warunki określające zależności pomiędzy parametrami tych układów oraz przykłady konstrukcji.
EN
In this paper, some problems related to the construction of highly D‑efficient spring balance weighing designs are presented. We give some conditions determining the relations between the parameters of such designs and construction examples.

Year

Volume

5

Issue

356

Pages

4-12

Physical description

Dates

published
2021

Contributors

  • Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Poland
  • Poznań University of Life Sciences, Faculty of Agronomy and Bioengineering, Department of Mathematical and Statistical Methods, Poznań, Poland

References

  • Banerjee K. S. (1975), Weighing Designs for Chemistry, Medicine, Economics, Operation Research, Statistics, Marcell Dekker Inc., New York.
  • 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.
  • Ceranka B., Graczyk M. (2010), Some construction of optimum weighing designs, “Acta Universitatis Lodziensis. Folia Oeconomica”, no. 235, pp. 235–239.
  • Ceranka B., Graczyk M. (2012), Notes on the optimum chemical balance weighing designs, “Acta Universitatis Lodziensis. Folia Oeconomica”, no. 269, pp. 91–101.
  • Ceranka B., Graczyk M. (2014), On certain A-optimal biased spring balance weighing designs, “Statistics in Transition. New Series”, Spring, vol. 15(2), pp. 317–326.
  • Ceranka B., Graczyk M. (2018), Highly D-efficient designs for even number of objects, “Revstat‑Statistical Journal”, no. 16, pp. 475–486.
  • Ceranka B., Graczyk M. (2019), Recent developments in D-optimal designs, “Communications in Statistics – Theory and Methods”, vol. 48(6), pp. 1470–1480, 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.
  • Ceranka B., Katulska K. (1987b), Zastosowanie teorii sprężynowych układów wagowych do analizy doświadczeń z mieszankami, “Listy Biometryczne”, no. XXIV, pp. 17–26.
  • 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.
  • Gail Z., Kiefer J. (1982), Construction methods for D‑optimum weighing designs when n ≡ 3 mod 4, “The Annals of Statistics”, no. 10, pp. 502–510.
  • 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”, no. 64, N2, pp. 168–173.
  • Graczyk M. (2013), Some applications on weighing designs, “Biometrical Letters”, vol. 50(1), pp. 15–26.
  • Graczyk M., Ceranka B. (2019), A highly D-efficient spring balance weighing designs for an even number of objects, “Acta Universitatis Lodziensis. Folia Oeconomica”, no. 344, pp. 17–27.
  • Jacroux M., Notz W. (1983), On the Optimality of Spring Balance Weighing Designs, “The Annals of Statistics”, no. 11, pp. 970–978.
  • Katulska K., Smaga Ł. (2010), On some construction of D-optimal chemical balance weighing designs, “Colloquium Biometricum”, no. 40, pp. 37–45.
  • Koukouvinos Ch. (1996), Linear models and D-optimal designs for n ≡ 2 mod 4, “Statistics and Probability Letters”, no. 26, pp. 329–332.
  • Raghavarao D. (1971), Constructions and Combinatorial Problems in Designs of Experiments, John Wiley Inc., New York.
  • Shah K. R., Sinh B. K. (1989), Theory of Optimal Designs, Springer-Verlag, Berlin.

Document Type

Publication order reference

Identifiers

Biblioteka Nauki
2033876

YADDA identifier

bwmeta1.element.ojs-doi-10_18778_0208-6018_356_01
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