Psychology and mathematical statistics: prospects for the twenty-first century
Abstract
The mass use of computers in the analysis of data from psychological research results and easy access to software with powerful computing capabilities (SPSS, Statistica, and similar) is the main feature of applying mathematical statistics methods in psychology. Multidimensional methods of analysis of psychological data, which were considered only theoretical until recently due to the complexity of calculations, have been used especially intensively in recent years. The mutual penetration of mathematical statistics and psychology has led to the development of new methods for modeling and explaining various types of psychological data. However, this process is essentially a "double-edged sword". Multidimensional statistical methods (hereinafter MSM) assume a clear construction of the model and strict requirements for the design of a psychological experiment. But the popularity of MSM does not make them easier to apply or interpret the results. This article is a kind of review of the current state of use and principles of MSM application in psychological research. The stages of using mathematical statistical methods in psychological research are described in accordance with the depth and complexity of the models under consideration, as well as the types of data they work with. The important principles that underlie the application of ISA methods are considered, and the definition that defines the content of the concept of multidimensional statistics (multidimensional statistical analysis) is formed.
This article presents a classification by various criteria of mathematical statistics methods that are most often used in psychology. In addition, an attempt was made to briefly describe the future of statistical methods in psychological research.
About the Authors
A. V. Dyatlov
Southern Federal University
Russian Federation
Russian Federation
Aleksandr V. Dyatlov
Rostov-on-Don
I. V. Abakumova
Don State Technical University
Russian Federation
Russian Federation
Irina V. Abakumova
Rostov-on-Don
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Review
For citations:
Dyatlov A.V., Abakumova I.V. Psychology and mathematical statistics: prospects for the twenty-first century. Innovative science: psychology, pedagogy, defectology. 2020;3(1):47-58. (In Russ.)
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