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ON D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS [PDF]
Acta Universitatis Lodziensis. Folia Oeconomica, 2015 The paper deals with the problem of determining the chemical balance weighing designs satisfying the criterion of D-optimality under assumption that the measurement errors are equal correlated and they have the same variances.
Bronisław Ceranka, Małgorzata Graczyk
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CONSTRUCTION METHOD OF A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
Acta Universitatis Lodziensis. Folia Oeconomica, 2015 Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they ...
Bronisław Ceranka, Małgorzata Graczyk
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About Some Properties and Constructions of Experimental Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2016 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.
Bronisław Ceranka, Małgorzata Graczyk
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New Results Regarding the Construction Method for D‑optimal Chemical Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2020 We study an experiment in which we determine unknown measurements of p objects in n weighing operations according to the model of the chemical balance weighing design. We determine a design which is D‑optimal. For the construction of the D‑optimal design,
Bronisław Ceranka, Małgorzata Graczyk
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A Regular D‑optimal Weighing Design with Negative Correlations of Errors
Acta Universitatis Lodziensis. Folia Oeconomica, 2019 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
Małgorzata Graczyk, Bronisław Ceranka
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Acta et Commentationes Universitatis Tartuensis de Mathematica, 2004 The paper is studying the estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number of times in which each object is weighed. Additionally, we assume that the errors are uncorrelated and they have different variances.
Ceranka, Bronisław +1 more
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Some D-optimal chemical balance weighing designs: theory and examples [PDF]
Biometrical Letters, 2017 Summary In this paper we study a certain kind of experimental designs called chemical balance weighing designs. We consider issues with regard to determining optimality conditions. We give new classes of designs in which we are able to determine an optimal design. Moreover, examples are given for the presented cases.
Bronisław Ceranka, Małgorzata Graczyk
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D-optimal chemical balance weighing designs with autoregressive errors [PDF]
Metrika, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Katulska, Krystyna, Smaga, Łukasz
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Some Construction Methods of A-Optimum Chemical Balance Weighing Designs
Journal of Applied Mathematics and Physics, 2014 Some new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the known symmetric balanced incomplete block designs. Also the conditions under which the constructed chemical balance weighing designs become A-optimal are also
Rashmi Awad, Shakti Banerjee
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Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors
Acta Universitatis Lodziensis. Folia OeconomicaIn this paper, some problems that concern the determining of unknown measurements of objects in the model of a chemical balance weighing design are presented.
Małgorzata Graczyk, Bronisław Ceranka
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