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Selected Remarks on Highly D‑efficient Spring Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2021 Here, we consider a new construction method of determining highly D-efficient spring balance weighing designs in classes in which a D-optimal design does not exist.
Małgorzata Graczyk, Bronisław Ceranka
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Notes on D‑optimal Spring Balance Weighing Designs
Acta Universitatis Lodziensis. Folia Oeconomica, 2018 Spring balance weighing design is a model of an experiment in which the result can be presented as a linear combination of unknown measurements of objects with factors of this combination equalling zero or one. In this paper, we assume that the variances
Bronisław Ceranka, Małgorzata Graczyk
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A Highly D‑efficient Spring Balance Weighing Design for an Even Number of Objects
Acta Universitatis Lodziensis. Folia Oeconomica, 2019 The problem of determining unknown measurements of objects in the model of spring balance weighing designs is presented. These designs are considered under the assumption that experimental errors are uncorrelated and that they have the same variances ...
Małgorzata Graczyk, Bronisław Ceranka
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Acta Universitatis Lodziensis. Folia Oeconomica, 2023 In this paper, some issues regarding the efficiency of spring balance weighing designs for a selected class are presented. We give some conditions determining the relations between the parameters of such designs and construction examples.
Małgorzata Graczyk, Bronisław Ceranka
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REGULAR D-OPTIMAL SPRING BALANCE WEIGHING DESIGNS: CONSTRUCTION [PDF]
Acta Universitatis Lodziensis. Folia Oeconomica, 2014 Spring balance weighing design there is the model of experiment in that the result of experiment we can present as linear combination of unknown measurements of objects with factors of this combination equal to zero or one.
Bronisław Ceranka
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Contribution to spring balance weighing designs
Biometrical Letters, 2022 Summary In this paper, we present some new results regarding spring balance weighing designs. We consider issues with regard to conditions for the existence of optimal designs, and give examples of optimal designs.
Małgorzata Graczyk, Bronisław Ceranka
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Criterion-robust designs for the models of spring balance weighing [PDF]
Tatra Mountains Mathematical Publications, 2012 ABSTRACT In the paper we consider the linear regression model of the first degree on the vertices of the d-dimensional unit cube and its extension by an intercept term, which can be used, e.g., to model unbiased or biased weighing of d objects on a spring balance.
Lenka Filová, Radoslav Harman
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On certain A-optimal biased spring balance weighing designs
Statistics in Transition new series, 2014 In the paper, the estimation of unknown measurements of p objects in the experiment, according to the model of the spring balance weighing design, is discussed. The weighing design is called biased if the first column of the design matrix has elements equal to one only.
Bronisław Ceranka, Małgorzata Graczyk
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Regular A-optimal Spring Balance Weighing Designs
Revstat Statistical Journal, 2012 The problem of indicating an A-optimal spring balance weighing design providing that the measurement errors have different variances and are uncorrelated is considered.
Małgorzata Graczyk
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Highly D‑efficient Weighing Design and Its Construction
Acta Universitatis Lodziensis. Folia Oeconomica, 2017 In this paper, some aspects of design optimality on the basis of spring balance weighing designs are considered. The properties of D‑optimal and D‑efficiency designs are studied.
Bronisław Ceranka, Małgorzata Graczyk
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