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Notes on the Optimum Chemical Balance Weighing Design

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Ceranka B., Graczyk M., Uniwersytet Przyrodniczy w Poznaniu; Wydział Rolnictwa i Bioinżynierii; Katedra Metod Matematycznych i Statystycznych
Acta Universitatis Lodziensis. Folia Oeconomica
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2012
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vol. 269
EN
In the paper, the model of the chemical balance weighing design, i.e. model in that the result of experiment we can describe as linear function of unknown measurements of objects with known factors, is presented. Additionally, we assume that the measurement errors are uncorrelated and they have different variances. The problem is to estimate unknown measurements of objects. The existence conditions setting the optimum design and new construction method of the matrix determining the conditions of the experiment, are presented.
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