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www.T-Science.org       p-ISSN 2308-4944 (print)       e-ISSN 2409-0085 (online)
SOI: 1.1/TAS         DOI: 10.15863/TAS

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ISJ Theoretical & Applied Science 03(59) 2018

Philadelphia, USA

* Scientific Article * Impact Factor 6.630


Zhanatauov SU

THE THEOREMS OF VALUES OF RELATIONSHIPS BETWEEN GROUPS OF VARIABLES.

Full Article: PDF

Scientific Object Identifier: http://s-o-i.org/1.1/TAS-03-59-43

DOI: https://dx.doi.org/10.15863/TAS.2018.03.59.43

Language: English

Citation: Zhanatauov SU (2018) THE THEOREMS OF VALUES OF RELATIONSHIPS BETWEEN GROUPS OF VARIABLES. ISJ Theoretical & Applied Science, 03 (59): 249-256. Soi: http://s-o-i.org/1.1/TAS-03-59-43 Doi: https://dx.doi.org/10.15863/TAS.2018.03.59.43

Pages: 249-256

Published: 30.03.2018

Abstract: The problem of finding relationships between groups of variables is central in multivariate analysis. In this work are proved the theorems of values of relationships between groups of variables. Two theorems are proved. From the Theorem 1 follows that the CCA doesn't maximize the relations necessary to usе. From the Theorem 2 follows that the RA maximizes separately relations between x- and v*-variables and relations between y-andu*–variables. Are considered Hotelling’s canonical variables and Van den Wollenberg’s redundancy variables. In 2 pairs groups of variables maximize a Stewart and Love's redundancy index. It is results with application only the necessary formulas for consideration CCA, RA in terms of 3 functions. In this work are highlighted the relationship between redundancy indexes in CCA and RA .

Key words: canonical correlation index,the value of relations of the biorthogonal canonical-redundancy variables.


 

 

 

 

 

 

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