ADDITIVE FACTORIAL ANALYSIS OF THE AVERAGE PRICES OF HOMOGENEOUS SETS OF GOODS WITH DISCRETE NON - ODD FUNCTION OF THE MATHEMATICAL SIGNUM

Emil Hristov

Abstract: A new methodology for additive factorial analysis of the change in average prices of goods from homogeneous clusters is presented. Only such aggregates have economically justified average prices and total natural quantities of all commodities. The average price is represented by a multiplier model with two factors - prices of the individual goods and relative shares of their natural quantities. The additive factorial analysis is the change in the average price of the changes in grouped data of goods by prices and relative shares of their natural quantities. The advantage of the new methodology is that with the discreet odd function of the mathematical signum – three correct and precise effects are obtained - price (only from price changes), structural (only from changes in relative shares) and joint effect (only by unidirectional joint changes of prices and relative shares). There are no joint effects from the unidirectional joint changes.

The new methodology for additive factorial analysis is universal and can be applied not only in economic statistics but also in all other applied statistics that work with homogeneous clusters.

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Date published: 2018-03-19