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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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ON D-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS
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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A note on D-optimal chemical balance weighing designs with autocorrelated observations
Statistical Papers, 2015 In this paper, D-optimal chemical balance weighing designs with three objects are considered. The error terms are assumed to form a first-order autoregressive process, which implies that the covariance matrix of the vector of errors depends on the known ...
Łukasz Smaga, Smaga Łukasz
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D-optimal chemical balance weighing designs with autoregressive errors
Metrika, 2012 In this paper, we consider the estimation problem of individual weights of three objects. For the estimation we use the chemical balance weighing design and the criterion of D-optimality.
Łukasz Smaga, Smaga Łukasz
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Some Construction Methods of Optimum Chemical Balance Weighing Designs III
Open Journal of Statistics, 2016 Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained.
R. Awad, Shakti Banerjee
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D-optimal chemical balance weighing designs with positively correlated errors: part I
Biometrical Letters, 2023 Summary In this paper, the problem of indicating chemical balance weighing designs satisfying the criterion of D-optimality is considered. Moreover, we study such designs under the assumption that the measurements are equally positively correlated and ...
M. Graczyk, B. 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 ...
B. Ceranka, M. 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.
M. Graczyk, B. Ceranka
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D-optimal chemical balance weighing designs with diagonal covariance matrix of experimental errors
Biometrical Letters, 2020 Summary In this paper, some problems related to determining experimental plans satisfying the criterion of D-optimality are presented. Moreover, the optimality conditions and relations between the parameters of the chemical balance weighing designs are ...
M. Graczyk, B. Ceranka
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