Cybernetical Modelling, Statistics, Step Functions, Cluster Analysis, Psychological Resilience

In the frame of the previous research, the particular application of cybernetical modelling was applied on quantitative analyses in the field of the education studies. Using by the mathematical models generally known from the technical cybernetics, the statistical properties and characteristics were corresponded with the classical approach of the testing the hypotheses. In this paper, the utilization of the cybernetical models is extended by a confirmation by the cluster analysis, which can increase an impact of the application of technically based models of the step functions in the social science. Proposed application is there being proven on the quantitative research of the psychological resilience. The cluster analysis can support the theory of the cybernetical modelling with an overlap into the psychological science, where this type of modelling has not been implemented yet. On the realized research with 303 respondents from Europe (Slovakia, Spain) and South America (Chile, Argentina), these approximations are practically applied.