Results 211 to 220 of about 15,502,740 (246)
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A-optimal chemical balance weighing design with correlated errors
Journal of Applied Mathematics and Computing, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, Bronisław +1 more
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Some observations on the constructions of chemical balance weighing designs [PDF]
A configuration with \(v\) treatments and \(b\) blocks, each of size \(k\), is called a balanced incomplete block (BIB) design if every treatment appears in exactly \(r\) blocks and every two-element subset of treatments occurs in \(\lambda\) blocks. Furthermore, if the \(b\) blocks can be partitioned into \(t\) sets of \(m\) blocks each in a way that ...
Mohan, Ratnakaram Nava +2 more
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Use of balanced bipartite weighing designs as chemical balance designs
Communications in Statistics - Theory and Methods, 1982This paper deals with the use of balanced bipartite weighing designs as chemical balance designs when there Is a restriction on the number of objects that can be placed on either pan..The variance of each estimated weight and the covarlance of each pair of estimated weights are worked out.The use of additional weighing when the design matrix is ...
exaly +5 more sources
A relation between BIB designs and chemical balance weighing designs
Statistics & Probability Letters, 1987The paper gives a certain new construction method for optimum chemical balance weighing designs. It utilizes a relation between the incidence matrices of a set of BIB designs and the design matrix of a chemical balance weighing design.
Ceranka, B., Katulska, K.
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Communications in Statistics - Theory and Methods, 1992
This paper provides D-optimal spring balance designs for estimating individual weights when the number of objects to be weighed in each weighing, B, is fixed. D-optimal chemical balance designs for estimating total weight under both homogeneous and nonhomogeneous error variances are found when the number of objects weighed in each weighing is ≥ B, a ...
Feifei Wei, William I. Notz
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This paper provides D-optimal spring balance designs for estimating individual weights when the number of objects to be weighed in each weighing, B, is fixed. D-optimal chemical balance designs for estimating total weight under both homogeneous and nonhomogeneous error variances are found when the number of objects weighed in each weighing is ≥ B, a ...
Feifei Wei, William I. Notz
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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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A note on the relations between two ternary balanced block designs and chemical balance weighing designs [PDF]
Summary: The paper studied the problem of estimation of the weights of \(p\) objects in \(n\) weighings using a chemical balance weighing design under restrictions on the number of objects which can be placed on the right and left pans, respectively. Conditions under which the estimated weights are uncorrelated are given.
Ambroży, Katarzyna, Ceranka, Bronisław
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Chemical Balance Weighing Design with Different Variances of Errors
2005The paper is studying the estimation problem of individual weights of objects using a chemical balance weighing design under the restriction on the number of times in which each object is weighed. We assume that errors are uncorrelated with different variances.
Bronisław Ceranka, Małgorzata Graczyk
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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).
Sanpei Kageyama
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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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