Mathematical foundations of a new approach to the construction of testing procedures

704

Abstract

In this paper the authors propose to consider a new approach to the construction of intelligent and competency tests, based on a new technology of eye tracking of the subject on the surface of the test stimulus with the application of one of the most common varieties of random processes and methods of the subsequent analysis of the obtained data. Special attention is given to the mathematical substantiation of the proposed methods. An example of practical application of the obtained results for determining of the level of mathematical education of pupils and students is an illustration of the adaptation of the methods to the decision of applied problems of an estimation of the level of intelligence and competence.

General Information

Keywords: testing, Markov process, the Fokker-Planck-Kolmogorov equation, Kolmogorov equations

Journal rubric: Mathematical Psychology

Article type: scientific article

For citation: Kuravsky L.S., Marmalyuk P.A., Alkhimov V.I., Yuryev G.A. Mathematical foundations of a new approach to the construction of testing procedures . Eksperimental'naâ psihologiâ = Experimental Psychology (Russia), 2012. Vol. 5, no. 4, pp. 75–98. (In Russ., аbstr. in Engl.)

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Information About the Authors

Lev S. Kuravsky, Doctor of Engineering, professor, Dean of the Computer Science Faculty, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0002-3375-8446, e-mail: l.s.kuravsky@gmail.com

Pavel A. Marmalyuk, PhD in Engineering, Head of the Laboratory of Psychology and Applied Software, Moscow State University of Psychology & Education, associate professor, Department of Information Technologies, Moscow State University of Psychology & Education, Moscow, Russia, e-mail: ykk.mail@gmail.com

Valery I. Alkhimov, Doctor of Physics and Matematics, Professor, Department of Applied Mathematics, Faculty of Information Technologies, Moscow State University of Psychology and Education, Moscow, Russia, e-mail: alvaliv@list.ru

Grigory A. Yuryev, PhD in Physics and Matematics, Associate Professor, Head of Department of the Computer Science Faculty, Leading Researcher, Youth Laboratory Information Technologies for Psychological Diagnostics, Moscow State University of Psychology and Education, Moscow, Russia, ORCID: https://orcid.org/0000-0002-2960-6562, e-mail: g.a.yuryev@gmail.com

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