CONSTRUCTION METHOD OF A-OPTIMAL CHEMICAL BALANCE WEIGHING DESIGNS

Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they have the same variances. We give new construct...

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Bibliographic Details
Main Authors: Bronisław Ceranka, Małgorzata Graczyk
Format: Article
Language:English
Published: Lodz University Press 2015-08-01
Series:Acta Universitatis Lodziensis. Folia Oeconomica
Subjects:
Online Access:https://czasopisma.uni.lodz.pl/foe/article/view/524
Description
Summary:Here, we study the design in that we determine unknown measurements of p objects by used of n measurement operations. For that reason we consider the chemical balance weighing design under assumption that the measurement errors are uncorrelated and they have the same variances. We give new construction method of the A-optimal chemical balance weighing design based on the incidence matrices of the balanced bipartite weighing designs and the ternary balanced block designs. The consequence of the proposed method is widening of possible classes in that A-optimal design exists.
ISSN:0208-6018
2353-7663