MODEL OF REDISTRIBUTION OF FINANCING OF HIGH SCHOOLS ON THE BASIS OF THEM CLUSTERING IN SPACE OF INTRODUCTORY TRIALS

Arefyev V.P, Arefyev P.V, Mihalchuk A.A

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Within the limits of model of is standard-individual financing of high school with differentiated specifications the design procedure of the raising factor of quality of a gang by means of two components one of which is defined from reasons importance an indicator of quality of a gang taking into account volume of economy of means is offered, and the second component pays off on a basis clustering high schools in space of indicators of introductory trials. The variant of calculation of the raising factor of quality of a gang on an example of one-dimensional space of introductory trials on an example of a rating of high schools on a mean score of Unified State Examination of the enlisted students of 2012 is considered. Explicitly the variant of calculation of the raising factor of quality of a gang on an example of two-dimensional space of indicators of the introductory trials, quality of enrolment of students of 2010 consisting of a summary index and a dynamic indicator of a difference of mean scores of Unified State Examination among enlisted on competition in 2011 and in 2010 is considered also. In this connection the many-dimensional statistical analysis of quality of reception is spent to the Russian state high schools on the basis of outcomes of introductory trials 2010 - 2011. The component analysis for construction of two-dimensional factor space in which within the limits of the cluster analysis 8 cluster model of high schools is constructed is used, groups of clusters of the high schools homogeneous for each factor indicator are selected, 4 categories of degrees of quality of a gang on a population of indicators are constructed and qualities of a gang corresponding the raising factors of quality of a set are calculated. The offered design procedure of the raising factor of quality of a gang supposes generalisation on a case of space more than two indicators of introductory trials.

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Арефьев В.П, Арефьев П.В, Михальчук А.А МОДЕЛЬ ПЕРЕРАСПРЕДЕЛЕНИЯ ФИНАНСИРОВАНИЯ ВУЗОВ НА ОСНОВЕ ИХ КЛАСТЕРИЗАЦИИ В ПРОСТРАНСТВЕ ВСТУПИТЕЛЬНЫХ ИСПЫТАНИЙ // Научное обозрение. Физико-математические науки . 2020. № 1. С. 16-17;
URL: https://physics-mathematics.ru/en/article/view?id=7 (дата обращения: 24.06.2026).