Results 211 to 220 of about 18,151 (241)

A-optimal chemical balance weighing design with nonhomogeneity of variances of errors

Statistics & Probability Letters, 2006
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Ceranka, Bronisław, Graczyk, Małgorzata, Katulska, Krystyna   +2 more
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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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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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Optimum chemical balance weighing designs for estimating the total weight

Communications in Statistics - Theory and Methods, 1988
This 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, 2012
The 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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New Construction of Optimum Chemical Balance Weighing Designs

Calcutta Statistical Association Bulletin, 1987
The present paper deals with certain chemical balance weighing designs. The incidence matrices of BIB designs for v treatments have been used to construct these designs for p = v + 1 objects. Conditions have been obtained for making some of these designs “optimum”.
Ceranka, B., Katulska, K.
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On Some Chemical Balance Weighing Designs

Australian Journal of Statistics, 1971
SummaryThe present paper deals with certain chemical balance weighing designs. The incidence matrices of BIB designs and balanced ternary designs have been used to construct these designs. Conditions have been obtained to make some of these designs “optimum”.
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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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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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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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