Results 221 to 230 of about 46,231 (260)

On adaptive chemical balance weighing designs

Journal of Statistical Planning and Inference, 1987
We consider the problem of weighing n objects in N weighings \((N>n\), \(N\equiv 1 mod 4)\) on a chemical balance. In case all but one weighing has been realized we treat an adaptive choice for allocating the n objects in the last weighing. This design is shown to be better than the A-optimal deterministic design with respect to some suitably modified ...
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A relation between BIB designs and chemical balance weighing designs

Statistics & Probability Letters, 1987
The 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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Use of balanced bipartite weighing designs as chemical balance designs

Communications in Statistics - Theory and Methods, 1982
This 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 ...
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D-optimal weighing designs and optimal chemical balance weighing designs for estimating the total weight

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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On the My-Optimality of Chemical Balance Weighing Designs

Calcutta Statistical Association Bulletin, 1983
In this paper we consider the problem of optimally weighing n objects with N weighings on a chemical balance. A design is said to be MV-optimal within the classes of designs considered if it minimizes the maximal variance of the least squares estimates of the weights. Several new results on the MV-optimality of chemical balance designs are given.
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Note on the construction of optimum chemical balance weighing designs

Annals of the Institute of Statistical Mathematics, 1983
Sufficient conditions for the existence of certain optimum chemical balance weighing designs are investigated.
Kageyama, S., Saha, G. M.
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Some observations on the constructions of chemical balance weighing designs

Discussiones Mathematicae Probability and Statistics, 2001
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, Ceranka, Bronisław, Kageyama, Sanpei   +2 more
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Chemical Balance Weighing Design with Different Variances of Errors

2005
The 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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A note on the relations between two ternary balanced block designs and chemical balance weighing designs

Discussiones Mathematicae Probability and Statistics, 2001
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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Relations between optimum biased spring balance weighing designs and optimum chemical balance weighing designs with non-homogeneity of the variances of errors

Lithuanian Mathematical Journal, 1994
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Ceranka, B., Katulska, K.
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