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The use of the Minkowski metric of the first order in social studies

Abstract

The use of the Minkowski metric of the first order in social studies

Mochtchenko I.N.

Incoming article date: 30.09.2015

The article presents a symmetry criterion for selection of metric used in interpreting the results of the measurements for different scales. The effect of the mismatch in a pair of scale – metric for technologies for semantic differential is studied numerically on the specific example. The analysis was performed on a concrete example interpreting the results of the survey of emotional perception of political order, made in May 2014 on the basis of RSSU. It was obtained that for the study of static group characteristics it is acceptable to use when interpreting the common approach with Euclidean metric. In the study individual characteristics and their subsequent use for modeling, you need to take the metric corresponding to the measurement scale. The Manhattan distance in this case. The functions of distribution for emotional perception of local and Central authorities with the use of this metric are obtained. It is shown that the investigated audience is consistent with the Pareto principle in the formation of conflict processes.

Keywords: scale measurements, metric Euclidean, Manhattan distance, invariance, symmetry criterion, semantic differential, emotional perception, political order, distribution function, latent conflict potential