NEW APPROACHES TO THE STATISTICAL ANALYSIS OF THE RESULTS OF PEDAGOGICAL EXPERIMENT

Authors

DOI:

https://doi.org/10.31110/2413-1571-2022-033-1-006

Keywords:

pedagogical experiment, statistical analysis of the results of pedagogical experiment, scientific and pedagogical research, comparison of means and variances, statistical analysis, experimental model, specialist training

Abstract

Formulation of the problem. Scientific work related to statistical analysis of data is often oversaturated with mathematical formulas to justify the proposed approach, and therefore difficult to accept or even reject by social and humanitarian scientists. Therefore, such approaches to statistical verification of results are becoming relevant, which, on the one hand, are based on the correct mathematical apparatus, and on the other hand, simplify the perception of cumbersome empirical data and on a scientific basis allow qualitative conclusions.

Materials And Methods. To achieve the result used: theoretical analysis of scientific sources to determine the theoretical foundations of statistical analysis in pedagogical research, comparative analysis, and comparison of results of scientific and pedagogical research to determine the most popular methods of statistical analysis; content analysis of Internet resources to determine resources for automation of statistical calculations; empirical methods (pedagogical experiment) to demonstrate the process of processing empirical data according to the developed methodology.

Results. The author's approach to statistical analysis of the results of pedagogical experiments is based on two positions: 1) integrated consideration of changes in the means and variances of both samples: the idea is to simultaneously analyze samples by Student's and Fisher's criteria conclusion on the effectiveness of the author's model or approach; 2) tracking the intermediate results of the pedagogical experiment for timely adjustment of the developed methodology or approach: the idea is that the pair "control group and experimental group at the refinement stage of the experiment" is monitored first, the method is improved (or not), and the new pair "control group and experimental group at the formative stage of the experiment" author's method is finally confirmed.

Conclusions. The proposed algorithm of statistical analysis of the results of the pedagogical experiment not only automates calculations but also has an advantage over other statistical methods in that the researcher can only analyze tabular pairs of averages and variances on the significance of differences and draw appropriate conclusions. We see the implementation of the algorithm in scientific and pedagogical practice as promising and the writing of a macro that automates the filling of the table based on the entered data of three samples.

Downloads

Download data is not yet available.

References

REFERENCES (TRANSLATED AND TRANSLITERATED)

Arens, K. (2020). The Structure of Academic Self-Concept: A Methodological Review and Empirical Illustration of Central Models. The Review of Educational Research, 91(1), 34-72. https://doi.org/10.3102/0034654320972186.

Rodgers, W. J., Morris-Mathews, H., Romig, J. E., & Bettini, E. (2021). Observation Studies in Special Education. A Synthesis of Validity Evidence for Observation Systems. https://doi.org/10.3102/00346543211042419.

Glass, J., & Stanley, J. (1976). Statisticheskiye metody v pedagogike i psikhologii [Statistical methods in pedagogy and psychology]. M.: Izd-vo «Progress». (in Russian).

Goncharenko, S. U. (2008). Pedahohichni doslidzhennya: metodolohichni porady molodym naukovtsyam [Pedagogical research: methodological advice for young scientists]. Kyyiv-Vinnytsya : DOV «Vinnytsya». (in Ukrainian).

Grabar, M.I., & Krasnyanskaya, K.A. (1977). Primeneniye matematicheskoy statistiki v pedagogicheskikh issledovaniyakh. Neparemetricheskiye metody [Application of mathematical statistics in pedagogical research. non-paremetric methods]. Moskva: «Pedagogika. (in Russian).

Koeffitsiyent korrelyatsii Pirsona [Pearson's correlation coefficient]. http://hostciti.net/calc/statistics/pearson.html. (in Russian).

Metody pedahohichnykh doslidzhen [Methods of pedagogical research]. Biblioteka on-layn. Kyyiv, MON. http://www.readbookz.com/book/

Novikov, D.A. (2004). Statisticheskiye metody v pedagogicheskikh issledovaniyakh (tipovyye sluchai) [Statistical Methods in Pedagogical Research (Typical Cases)]. M.: MZ-Press. (in Russian).

Petruk, V. A. (2008). Teoretyko-metodychni zasady formuvannia bazovykh profesiinykh kompetentsii u maibutnikh fakhivtsiv tekhnichnykh spetsialnostei – Theoretical and methodological principles of formation of basic professional competencies in future specialists of technical specialties. [Dys... d-ra nauk: 13.00.04, Natsionalnyi pedahohichnyi universytet imeni M.P. Drahomanova]. http://enpuir.npu.edu.ua/handle/123456789/36497. (in Ukrainian).

Petruk, V.A. (2011). Formation of the basic level of professional competence in future specialists of technical specialties by means of interactive technologies [Formuvannia bazovoho rivnia profesiinoi kompetentnosti u maibutnikh fakhivtsiv tekhnichnykh spetsialnostei zasobamy interaktyvnykh tekhnolohii]. VNTU. (in Ukrainian).

Petruk, V.A., & Kashkanova, H.H. (2006). Probabilistic-statistical models and statistical evaluation of decisions (second supplemented edition) [Ymovirnisno-statystychni modeli ta statystychna otsinka rishen (druhe dopovnene vydannia)]. Navchalnyi posibnyk MON Ukrainy – Textbook of the Ministry of Education and Science of Ukraine. „Universum-Vinnytsia”. (in Ukrainian).

Primer nakhozhdeniya koeffitsiyenta korrelyatsii [An example of finding the correlation coefficient]. https://math.semestr.ru/corel/prim.php. (in Russian).

Prozor, O.P. (2012). Formuvannia kohnityvno-tvorchoi kompetentsii maibutnikh fakhivtsiv iz systemnoi inzhenerii – Formation of cognitive and creative competence of future specialists in systems engineering. [Dys... k-ta nauk: 13.00.04, Nats. un-t bioresursiv i pryrodokorystuvannia]. http://www.disslib.org/formuvannja-kohnityvno-tvorchoyi-kompetentsiyi-majbutnikh-fakhivtsiv-iz-systemnoyi.html. (in Ukrainian).

Khomiuk, I. V. (2013). Systema formuvannia profesiinoi mobilnosti maibutnikh inzheneriv mashynobudivnoi haluzi – The system of formation of professional mobility of future engineers of the machine-building industry. [Dys... d-ra nauk: 13.00.04, Nats. un-t bioresursiv i pryrodokorystuvannia Ukrainy]. https://ir.lib.vntu.edu.ua/handle/123456789/14700. (in Ukrainian).

Shyshkina, M. (2010). Vymohy do zasobiv informatyzatsii naukovo-pedahohichnoho doslidzhennia [Tools of computerization and the structure of scientific pedagogical research planning of scientific researches in aps of ukraine]. Informatsiini tekhnolohii i zasoby navchannia – Information Technologies and Learning Tools, 9(1). https://doi.org/10.33407/itlt.v9i1.19. (in Ukrainian).

Published

02.04.2022

How to Cite

Petruk , V. ., Semenikhina, O. ., & Sabadosh, Y. . (2022). NEW APPROACHES TO THE STATISTICAL ANALYSIS OF THE RESULTS OF PEDAGOGICAL EXPERIMENT. Physical and Mathematical Education, 33(1), 36-42. https://doi.org/10.31110/2413-1571-2022-033-1-006

Most read articles by the same author(s)