Informatics and Applications
2015, Volume 9, Issue 1, pp 87-97
EVALUATION OF MEASUREMENT ACCURACY AND SIGNIFICANCE FOR LINEAR MODELS
- S. I. Spivak
- O. G. Kantor
- D. S. Yunusova
- S. I. Kuznetsov
- S. V. Kolesov
Abstract
Identification of a linear dependency, when exact solution obtained by standard methods does not
meet the objective requirements, determines development of specific approaches for their numerical realization.
A method to obtain approximate values of linear models parameters on experimental data, which is based on the
use of the linear programmingmethodology and the duality theory, is presented. This method makes it possible to
obtain approximate solutions that fulfill all requirements to the model and its parameters and to evaluate accuracy
and significance of measurements. It is important for improving the procedure of construction of functional
dependencies on the stage of planning experiments if they do not satisfy the authenticity criteria. The results of
testing the proposed method for problems connected with research of chemical and socioeconomic systems are
given.
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[+] About this article
Title
EVALUATION OF MEASUREMENT ACCURACY AND SIGNIFICANCE FOR LINEAR MODELS
Journal
Informatics and Applications
2015, Volume 9, Issue 1, pp 87-97
Cover Date
2014-10-30
DOI
10.14357/19922264150108
Print ISSN
1992-2264
Publisher
Institute of Informatics Problems, Russian Academy of Sciences
Additional Links
Key words
problems of linear dependencies recovering; measurement accuracy; measurement significance; dual
estimates
Authors
S. I. Spivak  , O.G. Kantor  ,
D. S. Yunusova , S. I. Kuznetsov  , and S. V. Kolesov
Author Affiliations
Bashkir State University, 32 Validy Str., Ufa 450076, Russian Federation
Institute of Social and Economic Research, Ufa Scientific Center, Russian Academy of Sciences; 71 Av. Oktyabrya,
Ufa 450054, Russian Federation
Institute of Organic Chemistry, Ufa Scientific Center, Russian Academy of Sciences, 71 Av. Oktyabrya, Ufa
450054, Russian Federation
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