Title
On multivariate network analysis of statistical data sets with different measures of association
Abstract
The main goal of the present paper is the development of a general framework of multivariate network analysis of statistical data sets. A general method of multivariate network construction, on the basis of measures of association, is proposed. In this paper we consider Pearson correlation network, sign similarity network, Fechner correlation network, Kruskal correlation network, Kendall correlation network, and the Spearman correlation network. The problem of identification of the threshold graph in these networks is discussed. Different multiple decision statistical procedures are proposed. It is shown that a statistical procedure used for threshold graph identification in one network can be efficiently used for any other network. Our approach allows us to obtain statistical procedures with desired properties for any network.
Year
DOI
Venue
2016
10.1007/s10472-015-9464-8
Annals of Mathematics and Artificial Intelligence
Keywords
Field
DocType
Network analysis,Multivariate networks,Statistical data sets,Measures of association,Threshold graph,Multiple decision statistical procedures,Primary 90B15,Secondary 62H15,62H20
Pearson product-moment correlation coefficient,Data set,Pattern recognition,Multivariate statistics,Artificial intelligence,Weighted correlation network analysis,Network analysis,Multivariate analysis,Spearman's rank correlation coefficient,Mathematics,Kruskal's algorithm,Machine learning
Journal
Volume
Issue
ISSN
76
1-2
1012-2443
Citations 
PageRank 
References 
0
0.34
6
Authors
3
Name
Order
Citations
PageRank
valery a kalyagin120.88
Alexander P. Koldanov2102.71
Panos M. Pardalos314119.60