Results 121 to 130 of about 121,949 (146)

Optimum chemical balance weighing designs under the restriction on weighings

Discussiones Mathematicae Probability and Statistics, 2001
The problem addressed here is concerned with estimating individual weights of objects by using a chemical balance weighing design under the constraint on the number in which each object is weighed. The model for a chemical balance design is \(y(n\times 1)= x(n\times p)w(p\times 1)+ e(n\times 1)\), when \(y\) is a vector of observations, \(x\) is the ...
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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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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A-optimal chemical balance weighing design with correlated errors

Journal of Applied Mathematics and Computing, 2004
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Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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On certain A-optimal chemical balance weighing designs

Computational Statistics & Data Analysis, 2007
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Ceranka, B., Graczyk, M., 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 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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