INDEX FACTOR ANALYSIS OF THE PRODUCTION VOLUMES OF HOMOGENOUS SETS OF COMMODITIES WITH DISCRETE ODD FUNCTION OF THE MATHEMATICAL SIGNUM

Emil Hristov

Abstract: A methodology for index factor analysis of production only from homogeneous sets of goods is compiled on the basis of the principle of distinction of statistical aggregations of homogeneous and heterogeneous. Analytically, each homogeneous set is a frequency distribution of the goods of the same type, which differ in prices and natural amounts in the same natural measure. Each frequency distribution is characterized by average price and total amount of all natural products. The production volume in money terms of all goods is a discrete dependent variable equal to the product of two discrete factor variables - the average price and the total amount of natural goods. With these discrete variables for two compared years is performed index factor analysis of growth or decrease in production from both jointly factor changes of the average price and the total amount of natural goods. In the general case, the exact solutions are arrived at with consideration of unidirectional and divergent changes in both factors. They are compared with the solutions that are obtained with multiple factors indices at constant composition – for the prices of Laspeyres and Paasche, and for the physical volume of production. Established are individual cases that can be solved by multiple factors indices at constant composition.

In the next article there will be a presentation of methodology for index factor analysis of production from various sets of goods.

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Date published: 2016-06-07