Statistical description of training procedure. Account of pairing interactions

This work is initiated by the necessity of improving the methodology for the statistic treatment of the experimental data on the sociological studies on the dynamics of the new material assimilation in the process of learning the course of physics in the secondary school. The statistical model is plotted wherein the description of the training procedure dynamics is carried out on the basis of the Fokker-Planck-Kolmogorov (FPK) equation. The initial problem in this work is reduced to the description of an average ideal students. In assumption of weak interactions between the students the problem is reduced to the FPK special type unidimensional equation. According to the standard methodologies the equation parameters are determined from the experimental data through the least square method. Accounting for the pair interaction between the ideal students leads to the FPK equation with the nonlocal nonlinearity. The analysis of the training procedure quantitative characteristics is carried out on the basis of the plotted model