Optimum experimental designs with a lack of a priori information. I. Designs for the estimation of a finite-dimensional set of functionals
Andrej Pázman (1975)
Kybernetika
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Andrej Pázman (1975)
Kybernetika
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Andrej Pázman (1974)
Kybernetika
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Andrej Pázman (1978)
Kybernetika
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Andrej Pázman (1976)
Kybernetika
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Małgorzata Graczyk (2013)
Biometrical Letters
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The purpose of this paper is to apply results on weighing designs to the setting of 2m factorial designs. Using weighing designs, we give some proposals for experimental plans. Relevant counterexamples are indicated. Also the results of a simulation study on the existence of weighing designs are presented.
B. Ceranka, K. Katulska (1991)
Applicationes Mathematicae
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Bronisław Ceranka, Małgorzata Graczyk (2004)
Discussiones Mathematicae Probability and Statistics
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In this paper we study the estimation problem of individual measurements (weights) of objects in a model of chemical balance weighing design with diagonal variance - covariance matrix of errors under the restriction k₁ + k₂ < p, where k₁ and k₂ represent the number of objects placed on the right and left pans, respectively. We want all variances of estimated measurments to be equal and attaining their lower bound. We give a necessary and sufficient condition under which this lower...