In recent years, when performing scientific and pedagogical work, it is increasingly required to carry out experimental work, use statistical and mathematical methods to process its results, and only on this basis obtain a specific scientific result related to the research problem. This is a pressing issue that needs to be addressed and addressed urgently.

In general, in a theoretical study, a researcher can put forward a hypothesis about some regularities that make it possible to explain already known scientific facts; on this basis, some original scientific opinion can be formed. However, this scientific opinion, formed during theoretical research, needs to be verified in practice, its truth must be proven and substantiated in real practical situations. To this end, experimental work is being carried out. The effectiveness of experimental work is directly related to the ability to choose the necessary statistical criterion and, accordingly, correctly and competently perform statistical and mathematical calculations. However, it is clear that most researchers make severe mistakes in choosing the appropriate criteria and using them in their research work due to their low statistical and mathematical knowledge. The McNеmar criterion is one of the statistical criteria that is not very often used in dissertations, and when using it, serious mistakes are made on the part of undergraduates and doctoral students studying in the pedagogical direction. Therefore, this article provides an algorithm for using this criterion in the study of pedagogical phenomena using specific examples. From the article, undergraduates and doctoral students studying in the pedagogical direction, as well as all, researchers working in the field of pedagogy and methodological science, can find valuable information that can be used in the course of research work.