Keyword: «rasch model»

The aim of the work is to determine the precision of measurement of latent variables. A comparative analysis of the classical theory of testing and the theory of latent variables is given. The study is based on a simulation experiment within the framework of the theory of latent variables.

The procedure for modeling test results based on the Rasch model is considered. The simulation results are processed within the framework of the theory of latent variables. Model values of the level of testees’ performance, their estimates, as well as estimates errors of the level of performance are approximated by linear models. It is shown that poorly prepared testees are evaluated with less precision than more prepared ones.

The features of measuring latent variables in social systems are considered. The key concepts that are used in the theory of measurement of latent variables are shown. Examples of the use of this theory in education and other social systems are given.

The article shows the relevance of using the theory of measurement of latent variables in social systems. This is due to the fact that many variables in social systems are latent. Scales of estimation of latent variables are considered. A key aspect of the construction of the theory of latent variables is invariance both with respect to objects and indicators. It should be noted that this theory was developed by the Danish scientist Georg Rasch to solve problems in the field of education.