Use of Kohonen’s Self-Organizing Maps and the Monte Carlo Method for Studying Adequacy of Factor Models of Intelligence

The article presents new methods of identification and research of factors which determine the development of intellectual abilities. It is emphasized that its peculiar quality is construction of predetermined system of linear and non-linear algebraic equations in relation to the model’s free parameters with consequent search of a pseudosolution. Identification of free parameters of the factor model is done by means of least square method. A method of evaluation of statistical importance of factor model components is considered as well as a new method of evaluation of level of adequacy of random factor models which is based on the Monte Carlo method and capabilities of Kohonen’s self-organizing maps. Attention is drawn to the fact that this method allows to avoid strict limitations on probability distributions of observations results, which are peculiar to the traditional procedure of identification of model’s free parameters. The article presents advantages of this approach over the traditional method as well as a number of factor models presented by way diagrams including their comparative analysis.