# The Method of Statistical Dependencies of Equations: Application Criteria and Main Functions

Keywords: economic phenomena management, method of statistical dependence equations, choice of the best dependence equation, productive trait, system of factors, statistical estimation of relationships

### Abstract

The objective assessment of the state and development of socio-economic phenomena and the processes can only be ensured by the use of properly selected statistical and mathematical methods. These methods cease to be a matter of interest in practice when there is no certainty as to how much they can be applied to specific tasks. In the context of significant advances in technology for the collection and processing of statistics, the skilled use of statistical and mathematical methods is significantly hampered by a lack of knowledge of methods and their ability to evaluate information.

The article highlights the criteria for choosing the best equation of dependencies as a means of statistical analysis of the influence of factors on the results of socio-economic development of the national economy as a whole, including individual types or forms of economic activity. It has been shown that the statistical dependency method can be used to solve the tasks set out in the article.

The method of statistical dependence equations is a statistical method of analyzing the causal relationships of economic phenomena and processes. Unlike the mathematical method of correlation and regression analysis, which is based on linear algebra, the application of the method of statistical equations of dependencies is based on the calculation of the coefficients of comparison, which are determined by the ratio of the individual values of the eponymous sign to its minimum or maximum level. With increasing values of the sign, the coefficients of comparison are calculated from the minimum level, and at decrease — from the maximum.

The comparison coefficients show the degree of change (increase or decrease) of the magnitude of the trait to the accepted comparison base. The parameter of the equation of dependence is calculated on the basis of the coefficients of comparison of the resultant and factor trait. Unlike the coefficients of elasticity known in statistics, the parameters of the equation of dependence, which are determined by the method of deviations, allow to take into account not only the influence on the effective attribute of one factor, but also the cumulative effect of many factors.

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