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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 [PDF]
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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On the optimality of chemical balance weighing designs
Journal of Statistical Planning and Inference, 1983 Optimality of chemical balance weighing designs is considered in this paper. The authors have used a ternary design matrix \(X_ d\in C(N,n)\) for \(N\geq n\) with entries -1,0,1. The authors have chosen the optimality criteria of type I as defined by \textit{C.-S. Cheng} in Ann. Stat. 8, 436- 446 (1980; Zbl 0425.62055).
Mike Jacroux
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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.
Łukasz Smaga
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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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A note on D-optimal chemical balance weighing designs with autocorrelated observations [PDF]
Statistical Papers, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Łukasz Smaga
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A note on the estimation of total weight in chemical balance weighing designs
Metrika, 1990 This paper studies the problem of estimation of the total weight of objects using a chemical balance weighing design under the restriction |L−R| ≤a, whereL andR represent the number of objects placed on the left and right pans, respectively. A lower bound for the variance of the estimated total weight is given and a necessary and sufficient condition ...
Bronisław Ceranka
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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.
Rashmi Awad, Shakti Banerjee
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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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