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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. The existence conditions and the form of the optimal design are given.
Ceranka, Bronisław +1 more
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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 have the same variances.
Ceranka, Bronisław +1 more
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Improvement in Some Soil Characteristics and Vegetative Cover through Spate Irrigation in Jahanabad TorbateJam [PDF]
پژوهشهای آبخیزداری, 2017 Quantitative and qualitative characteristics of the suspended load may affect soil and vegetation. After drawing an area map, soil and vegetation were examined at both floodwater spreaders and control areas.
Masoud Derakhshi +3 more
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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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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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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 +1 more
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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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On Highly D-Efficient Designs with Nonnegatively Correlated Observations
Revstat Statistical Journal, 2017 In the most difficult case where the number of observations n ≡ 3 (mod 4), high D-efficiency of certain chemical balance weighing designs under completely symmetric covariance matrix of errors is shown. It is also proved that D-optimal design may depend
Krystyna Katulska , Lukasz Smaga
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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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