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Method of factor analysis of hierarchies

Abstract

Method of factor analysis of hierarchies

Mochtchenko I.N., Pirogov E.V.

Incoming article date: 16.12.2017

The work is devoted to the further extension of the Analytic Hierarchy Process (AHP). In its classic version, the hierarchical structure of goals, factors, criteria and alternatives is set in advance. The calculation of priorities at each level is based on the matrices of paired comparisons obtained by the expert method. The paper proposes to build a table of the hierarchy of priorities directly by using measurements carried out in the target audience. For this purpose on the basis of the primary data received by questioning, the consecutive hierarchical factorization developed earlier by authors is carried out. As a result of this procedure, the full hierarchical structure of goals, factors and criteria is revealed, starting with the primary features and ending with the integral target factor of the whole task. In addition, for each identified level determined by the matrix of factor loadings, allowing to calculate the local priorities of the factors. Their global priorities with respect to the goals defined on the basis of the principle of the synthesis of the AHP. The proposed technique is illustrated by the example of the analysis of students ' perception of the educational process, which was conducted on the basis of extensive questionnaires in 2015 in SFEDU.

Keywords: Analytic Hierarchy Process, a survey, a consistent hierarchical factorization, table of hierarchy of factors, local priorities, a synthesis of the AHP global priorities, the perception of the educational process