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Optimum Chemical Balance Weighing Design under Certain Condition [PDF]
, 2009 2000 Mathematics Subject Classification: 62K05, 05B05. The problem of estimation of unknown weights of p objects is considered. The experiment is carried out according to the standard Gauss-Markoff model of the chemical balance weighing design. Existence conditions of the optimum design are given.
Ceranka, Bronislaw, Graczyk, Malgorzata
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Relations between optimum chemical balance weighing designs for v and v+1 objects [PDF]
Applicationes Mathematicae, 1991 Summary: The incidence matrices of BIB designs for \(v\) treatments have been used to construct optimum chemical balance weighing designs for \(p=v\) or \(p=v+1\) objects. Conditions under which the existence of an optimum chemical balance weighing design for \(v\) objects implies the existence of an optimum chemical balance weighing design for \(v+1\)
Ceranka, B., Katulska, K.
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Some Construction Methods of A-Optimum Chemical Balance Weighing Designs
Journal of Applied Mathematics and Physics, 2014 Some new construction methods of the optimum chemical balance weighing designs and pairwise efficiency and variance balanced designs are proposed, which are based on the incidence matrices of the known symmetric balanced incomplete block designs. Also the conditions under which the constructed chemical balance weighing designs become A-optimal are also
Rashmi Awad, Shakti Banerjee
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Some Construction Methods of Optimum Chemical Balance Weighing Designs III
Open Journal of Statistics, 2016 Methods of constructing the optimum chemical balance weighing designs from symmetric balanced incomplete block designs are proposed with illustration. As a by-product pairwise efficiency and variance balanced designs are also obtained.
Rashmi Awad, Shakti Banerjee
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Acta et Commentationes Universitatis Tartuensis de Mathematica, 2004 The paper is studying the estimation problem of individual weights of objects using the chemical balance weighing design under the restriction on the number of times in which each object is weighed. Additionally, we assume that the errors are uncorrelated and they have different variances.
Ceranka, Bronisław +1 more
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Some remarks about optimum chemical balance weighing design for p = v + 1 objects
Advances in Methodology and Statistics, 2009 The problem of the estimation of unknown weights of \(p = v + 1\) objects in the model of the chemical balance weighing design under the assumption that the measurement errors are uncorrelated and they have different variances is considered. The existence conditions determining the optimum design are presented.
Ceranka, Bronisław +1 more
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Some construction of optimum chemical balance weighing designs
, 2010 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 +1 more
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Notes on the Optimum Chemical Balance Weighing Design
, 2012 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 +1 more
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Constructions of Optimum Chemical Balance Weighing Designs Based on Balanced Block Designs
, 2005 W pracy omówiona została tematyka estymacji nieznanych miar (wag) p obiektów w sytuacji, gdy dysponujemy n operacjami pomiarowymi. Zastosowany model określany jest mianem chemicznego układu wagowego, przy czym ograniczona jest liczba pomiarów po szczególnych obiektów.
Ceranka, Bronisław +1 more
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, 2004 Zadanie pt. Digitalizacja i udostępnienie w Cyfrowym Repozytorium Uniwersytetu Łódzkiego kolekcji czasopism naukowych wydawanych przez Uniwersytet Łódzki nr 885/P-DUN/2014 zostało dofinansowane ze środków MNiSW w ramach działalności upowszechniającej naukę.
Ceranka, Bronisław +1 more
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