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Selected Remarks on Highly D‑efficient Spring Balance Weighing Designs [PDF]
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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Criterion-robust designs for the models of spring balance weighing [PDF]
Tatra Mountains Mathematical Publications, 2012 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
semanticscholar +3 more sources
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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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.
B. Ceranka, M. Graczyk
semanticscholar +2 more sources
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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On the Optimality of Spring Balance Weighing Designs
Annals of Statistics, 1983 This paper deals with techniques for finding $\Phi$-optimal designs for weighing $v$ objects in $b$ weighings using a spring balance. The optimality functions considered encompass a large class of functions. Results are applied to find $A$-, $D$- and $E$-optimal designs and the optimal designs obtained are seen to be related to certain types of well ...
Mike Jacroux
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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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Notes on the Regular E-Optimal Spring Balance Weighing Designs with Correlated Errors
Revstat Statistical Journal, 2015 The paper deals with the estimation problem of individual weights of objects in Eoptimal spring balance weighing design. It is assumed that errors are equal correlated.
Bronisław Ceranka +1 more
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