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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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D-optimal chemical balance weighing designs with positively correlated errors: part II

Biometrical Letters, 2023
Summary Some questions related to the problem of determining a chemical balance weighing design satisfying the criterion of D-optimality are considered. The theory is based on the assumption that the measurements are equally positively correlated and have the same variances. In this paper, we present a method of adding three measurements
Małgorzata Graczyk, Bronisław Ceranka
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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-optimal chemical balance weighing design under certain condition

Advances in Methodology and Statistics, 2007
The paper is studying the estimation problem of individual weights of \(p\) objects using the design matrix \(\mathbf{X}\) of the A-optimal chemical balance weighing design under the restriction \(p_1 + p_2 = q  \leq p\), where \(p_1\) and \(p_2\) represent the number of objects placed on the left pan and on the right pan, respectively, in each of the ...
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Estimation of Unknown Object Measures in a Chemical Weighing Design with Correlated Errors

Acta Universitatis Lodziensis. Folia Oeconomica
In 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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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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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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Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors

Discussiones Mathematicae Probability and Statistics, 2023
In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance covariance matrix of errors under the restriction k1 + k2 < p, where k1 and k2 represent ...
Bronisław Ceranka, Małgorzata Graczyk
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Optimum chemical balance weighing design with diagonal matrix of errors based on balanced block designs

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, Graczyk, Małgorzata   +1 more
openaire   +3 more sources