Real researches in the methodology of non-linear psychology

The nonlinear psychology is a new approach to studying psychological phenomena, putting the main task the research of specifically nonlinear properties of psychological phenomena. On the basis of the author's method of multiple comparisons, we develop the new approach of studying in one problem of statistical dependences of the various form, in which is used a method of multiple comparisons for quintile splitting’s (a triad, a quart, a quint) of the data on each parameter. The method of multiple comparisons based on pair comparisons and revealing of authentic differences: between groups of examinees for all parameters; between parameters for all studied groups; between all ordered pairs “group - parameter”, is a structural component of our statistical approach developed for a construction of psychological typologies. For classification are defined kinds of dependences: 11 for triads and 28 for quarts. The basic types of dependences: dependence with a maximum and a minimum, increasing and decreasing, but it is far not linear, fluctuations max-min and min-max. In each type are included various quantity (from 2 to 9) of kinds of dependences (for triads less, it has more than quarts) which are defined by symmetry, the general increasing or decreasing tendency, shift to the left or to the right, uniformity of change. In the article is considered: 1) the typology of nonlinear dependences in the research on revealing of the basic requirements to the teacher’s profession; 2) the typology of nonlinear dependences by results of research of features of positive parental feelings and their influence on formation of an adequate self-estimation of the preschool child; 3) the typology of dependences based on results of studying of the style of family education as a factor of formation of semantic sphere of the child; 4) the typology of nonlinear dependences based on the results of research “Experience of a trust crisis”; 5) the typology of relations of tolerance, viability, and base belief in graphic parameters of measurements of valuable relations of the person “I-Others”. In the article as examples, the separate dependences from these 5 psychological types of research are considered.