Results 221 to 230 of about 15,502,740 (246)

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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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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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
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ceranka, B., Katulska, K.
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Technique of Constructing Optimum Chemical Balance Weighing Designs Using Symmetric Balanced Incomplete Block Designs

Rashmi Awad, Shakti Banerjee
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Notes on the Optimum Chemical Balance Weighing Design

2013
In the paper, the model of the chemical balance weighing design, i.e. model in that the result of experiment we can describe as linear function of unknown measurements of objects with known factors, is presented. Additionally, we assume that the measurement errors are uncorrelated and they have different variances.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Constructions of Optimum Chemical Balance Weighing Designs Based on Balanced Block Designs

2016
The paper is studying the problem of estimation of the individual unknown measurements (weights) of p objects when we have at our disposal n measurement operations (weighings). In this problem we use the linear model called chemical balance weighing design under the restriction on the number times in which each object is measured. A lower bound for the
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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Some construction of optimum chemical balance weighing designs

2012
W pracy podano nową metodę konstrukcji optymalnych chemicznych układów wagowych wykorzystujące relacje pomiędzy macierzami incydencji częściowo zrównoważonych układów o blokach niekompletnych z podzielnymi grupami o takich samych schematach partnerstwa a macierzą chemicznego układu wagowego.
Ceranka, Bronisław, Graczyk, Małgorzata   +1 more
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A-optimal Chemical Balance Weighing Designs with Diagonal Covariance Matrix of Errors

2001
The paper deals with the problem of estimating the weights of objects using an A-optimal chemical balance weighing design with the covariance matrix of errors o2G, where G is an n x n known positive definite diagonal matrix. A lower bound of tr(X’G-1X)-1is obtained and a necessary and sufficient condition for this lower bound to be attained is given ...
B. Ceranka, K. Katulska
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