About Some Properties and Constructions of Experimental Designs

Authors

  • Bronisław Ceranka Poznań University of Life Science, Department of Mathematical and Statistical Methods
  • Małgorzata Graczyk

DOI:

https://doi.org/10.18778/0208-6018.322.08

Keywords:

balanced incomplete block design, chemical balance weighing design, D-optimality, ternary balanced block design

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.

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References

Banerjee K.S. (1975), Weighing Designs for Chemistry, Medicine. Economics, Operations Research, Statistics, Marcel Dekker Inc., New York.
Google Scholar

Billington E.J. (1984), Balanced n-ary designs: a combinatorial survey and some new results, “Ars Combin.” vol. 17 A, pp. 133–144.
Google Scholar

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.
Google Scholar

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.
Google Scholar

Ceranka B., Graczyk M. (2014c), Regular D-optimal weighing designs with negative correlated errors: construction, “Colloquium Biometricum” nr 44, s. 57–68.
Google Scholar

Ceranka B., Graczyk M. (2014d), Regular D-optimal spring balance weighing designs: construction, “Acta Universitatis Lodziensis, Folia Oeconomica” nr 302, s. 111–125.
Google Scholar

Ceranka B., Graczyk M. (2015), On D-optimal chemical balance weighing designs, “Acta Universitatis Lodziensis, Folia Oeconomica” nr 311, s. 71–84.
Google Scholar

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.
Google Scholar

Katulska K., Smaga Ł. (2013), A note on D-optimal chemical balance weighing designs and their applications, “Colloquium Biometricum” nr 43, s. 37−45.
Google Scholar

Masaro J., Wong Ch.S. (2008), D-optimal designs for correlated random vectors, “Journal of Statistical Planning and Inference” vol. 138, pp. 4093–4106.
Google Scholar

Rao C. R. (1973), Linear Statistical Inference and its Applications, John Wiley and Sons Inc., New York.
Google Scholar

Raghavarao D. (1971), Constructions and combinatorial problems in design of experiment, John Wiley and Sons, New York.
Google Scholar

Raghavarao D., Padgett L.V. (2005), Block Designs, Analysis, Combinatorics and Applications, Series of Applied Mathematics 17, Word Scientific Publishing Co. Pte. Ltd., Singapore.
Google Scholar

Shah K.R., Sinha B.K. (1989), Theory of Optimal Designs, Springer-Verlag, Berlin.
Google Scholar

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Published

2016-12-08

How to Cite

Ceranka, B., & Graczyk, M. (2016). About Some Properties and Constructions of Experimental Designs. Acta Universitatis Lodziensis. Folia Oeconomica, 3(322), [73]–85. https://doi.org/10.18778/0208-6018.322.08

Issue

Section

Statistics and econometrics

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