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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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Some remarks about optimum chemical balance weighing design for p = v + 1 objects
Advances in Methodology and Statistics, 2009 The problem of the estimation of unknown weights of \(p = v + 1\) objects in the model of the chemical balance weighing design under the assumption that the measurement errors are uncorrelated and they have different variances is considered. The existence conditions determining the optimum design are presented.
Ceranka, Bronisław +1 more
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A study of the efficiency of chemical balance weighing designs
Biometrical LettersAbstract Some elements concerning the problem of determining chemical balance designs are considered. A method is presented for determining the best design in classes where no D-optimal design exists. In this case, we obtain a design that is highly D-efficient.
Małgorzata Graczyk, Bronisław Ceranka
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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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Optimum Chemical Balance Weighing Design under Certain Condition [PDF]
, 2009 2000 Mathematics Subject Classification: 62K05, 05B05. The problem of estimation of unknown weights of p objects is considered. The experiment is carried out according to the standard Gauss-Markoff model of the chemical balance weighing design. Existence conditions of the optimum design are given.
Ceranka, Bronislaw, Graczyk, Malgorzata
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Remarks about a construction method for D-optimal chemical balance weighing designs [PDF]
Biometrical Letters, 2019 Summary This paper presents some constructions of regular D-optimal weighing designs based on the incidence matrices of a balanced incomplete block design, balanced bipartite weighing design and ternary balanced block design. We determine optimality conditions and relations between the parameters of the design, and give an example.
Małgorzata Graczyk, Malwina Janiszewska
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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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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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Atomic layer deposition on porous powders with in situ gravimetric monitoring in a modular fixed bed reactor setup [PDF]
, 2017 This article may be downloaded for personal use only. Any other use requires prior permission of the author and AIP Publishing. This article appeared in Review of Scientific Instruments 88, 074102 (2017) and may be found at https://doi.org/10.1063/1 ...
Drieß, Matthias +3 more
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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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