On multivariate network analysis of statistical data sets with different measures of association

Annals of Mathematics and Artificial Intelligence. 2016. Vol. 76. No. 1. P. 83–92.

Калягин В. А., Колданов А. П., Pardalos P. M.

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. © 2015 Springer International Publishing Switzerland.

Ключевые слова: multiple decision statistical procedures, network analysis, Statistical data sets, Measures of association, Multivariate networks, Threshold graph