Application of Mathematical Statistics Methods in Socio-Pedagogical Research

Abstract

Abstract: The aim of this article is to conceptually justify and practically ascertain the possibility of using mathematical statistics techniques in socio-pedagogical research as a tool of contributing to the scientific credibility, validity and analytical richness of pedagogical assumptions. The paper explores the existing methodological studies on application of statistical analysis in pedagogy, outlines the possibility of statistical tools application in quantitative interpretation of learning phenomena, analyses the phases of processing of the empirical data, and provides the suggestions on the best way of implementing the methods in pedagogical experiments. The methodological framework is a combination of systemic, analytical, and comparative approaches, which can be used to find structural and functional interconnections between statistical modeling and educational outcomes. These findings of the research show, that the proper selection of the statistical tools, the logical correspondence of the stages of data analysis, and the sufficiency of the interpretation of the numerical data in the context of education significantly influence the effectiveness of pedagogical experiments. The research puts forward a six-stage model of statistical data processing- preparing, primary, descriptive, inferential, modeling, and interpretive that guarantees the methodological consistency of the research. The article highlights the use of correlation, regression, variance, factor and cluster analyses as universal in exposing dependencies, hypothesis testing and generalizing empirical data in an educational study. The results prove that digitalization is an important step in raising accuracy and reproducibility of statistical computations. The author believes in the combination of quantitative procedures and teaching meaning of the research to maintain the humanistic aspect of findings. The article ends that the systematic use of mathematical statistics procedures helps to enhance the evidential foundations of pedagogical science, a new analytical culture of researchers, and evidence-based pedagogy in the conditions of changing digital education. Keywords: pedagogical research, mathematical statistics, quantitative analysis, empirical data, research validity, educational experiment, digitalization, data modeling.