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Optimum Chemical Balance Weighing Designs Under Equal Correlations of Errors
1998The paper deals with the problem of estimating the individual weights of objects using a chemical balance weighing design with equal correlations of errors in the usual linear model. A lower bound for the variance of each of the estimated weights resulting from this chemical balance weighing design is obtained and a necessary and sufficient condition ...
B. Ceranka, K. Katulska
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Robustness of Optimal Chemical Balance Weighing Designs for Estimation of Total Weight
Communications in Statistics - Theory and Methods, 2012The subject of our study is the chemical balance weighing design in which the errors are correlated and have equal variances. A lower bound for the variance of estimated total weight is obtained and the necessary and sufficient conditions for the attainability of this lower bound are given.
Bronisław Ceranka, Małgorzata Graczyk
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A-optimal chemical balance weighing design with nonhomogeneity of variances of errors
Statistics & Probability Letters, 2006zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, Bronisław +2 more
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Optimum chemical balance weighing designs for estimating the total weight
Communications in Statistics - Theory and Methods, 1988This deals with chemical balance weighing designs which attain a lower bound for the variance of the estimated total weight, The results extend those of Chacko Dey (1978).
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A-optimal Chemical Balance Weighing Designs with Diagonal Covariance Matrix of Errors
2001The paper deals with the problem of estimating the weights of objects using an A-optimal chemical balance weighing design with the covariance matrix of errors o2G, where G is an n x n known positive definite diagonal matrix. A lower bound of tr(X’G-1X)-1is obtained and a necessary and sufficient condition for this lower bound to be attained is given ...
B. Ceranka, K. Katulska
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Integrative oncology: Addressing the global challenges of cancer prevention and treatment
Ca-A Cancer Journal for Clinicians, 2022Jun J Mao,, Msce +2 more
exaly
Advances in Chemical and Spring Balance Weighing Designs: A systematic review
This paper deals with the review of the literature on Chemical and Spring Balance Weighing Designs. The Weighing problems were initially originated by Yates and after that Hotelling, who led to a precise formulation of the Weighing problem. Eventually, with the passage of time, this problem expanded to form a branch of Design of Experiment.Awad Rashmi, Chouhan Ashwini
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Optimum chemical balance weighing designs with diagonal variance-covariance matrix of errors
Discussiones Mathematicae Probability and Statistics, 2023Bronisław Ceranka, Małgorzata Graczyk
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A NOTE ON OPTIMUM CHEMICAL BALANCE WEIGHING DESIGNS
Australian Journal of Statistics, 1974openaire +1 more source

