NONPARAMETRIC METHODS FOR DETECTING THE INTERACTIONS OF MACROECONOMIC INDICATORS IN THE RUSSIAN FEDERATION
The research methodology for detecting the relationships of macroeconomic indicators in the Russian Federation uses three parameters: gross regional product, number of employees, fixed assets. In the first part of the article, the author discusses the study of the relationships of quantitative traits by methods of nonparametric statistics using the coefficient of concordance (multiple rank correlation coefficient). Using the coefficient of concordance the author defines the level of communication between gross regional product (billion rubles), the number of persons employed by regions of the Russian Federation (millions of people), availability of fixed assets in the Russian Federation (billion rubles). The significance of the coefficient of concordance is evaluated by the criterion of QUOTE c 2. In the second part of the article, a mathematical model to assess the impact of factors on the parameter - gross regional product of Russia - is constructed. Factor signs have been chosen to build a two-factor regression model for the period 2007-2013. The parameters of the model were calculated; the regression parameters were estimated using the method of least squares. To assess the model quality, the linear coefficient of multiple correlation and the coefficient of determination were calculated. Test of significance of the equation, the regression coefficients and the multiple regression equation was performed. The influence of factors on the dependent variable in the model was estimated using the coefficient of elasticity and beta coefficients. It is revealed that the growth of gross regional product is influenced mainly by such factors as fixed assets.