Results 201 to 210 of about 7,340,270 (237)

Optimum chemical balance weighing designs under the restriction on weighings [PDF]

open access: yesDiscussiones 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   +1 more
core   +5 more sources

New Construction of Optimum Chemical Balance Weighing Designs

open access: yesCalcutta 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.
openaire   +3 more sources

Some observations on the constructions of chemical balance weighing designs [PDF]

open access: yesDiscussiones 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   +2 more
openaire   +3 more sources

On certain A-optimal chemical balance weighing designs

Computational Statistics and Data Analysis, 2007
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Małgorzata Graczyk
exaly   +3 more sources

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 ...
exaly   +4 more sources

A relation between BIB designs and chemical balance weighing designs

Statistics and 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.
exaly   +3 more sources

A note on the relations between two ternary balanced block designs and chemical balance weighing designs [PDF]

open access: yesDiscussiones 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
openaire   +2 more sources

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 ...
Rainer Schwabe
exaly   +3 more sources

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
exaly   +2 more sources

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