Application of Correlation Analysis to Determine the Discrepancy Between Indicators for Two Different Samples: Comparison of the Intellectual and Personal Development of Children of Primary School Age, Studied with an Interval of 10 Years

Correlation analysis, which is actively used in psychological research to identify the relationship between psychological parameters, loses its meaning when the samples being compared are different. At the same time, studying possible connections of psychological indicators between samples may have some meaning in special cases. Purpose of the work: to show the possibilities and propose a technology for using correlation analysis to determine the agreement of indicators for two different samples using the example of a long-term (retrospective and modern) study of the intellectual and personal characteristics of the development of schoolchildren in the 2nd grade of a general school with an age difference of 10 years. For correlation analysis, we used assessments of intellectual development according to the level of work in the “Beasts in the Circus” method of the “Creative Field” method (Bogoyavlenskaya, 1971) and intelligence according to the “Standard Progressive Matrices” test by J. Raven. To implement the possibility of a full correlation analysis of general indicators of different samples, the work proposed a technique for preliminary linking two different samples of the same size to each other by matching them on one of the common sample variables.

1. Artemenkov S.L. The Aspects of Modelling and Specific Characteristics of Complex Systems. Modelirovanie i analiz dannykh = Modelling and Data Analysis, 2016, no. 1. pp. 47–59. doi:10.17759/mda.04. (In Russ., аbstr. in Engl.).
2. Artemenkov S.L. Network modeling of psychological constructs. Modelirovanie i analiz dannykh = Modelling and Data Analysis, 2017, no. 1. pp. 9–28. (In Russ., аbstr. in Engl.).
3. Artemenkov S.L. The Issues of Construction and Analysis of Ordered Partial Correlation Networks in Psychological Research. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 3, pp. 36–56. DOI: 10.17759/mda.2021110303. (In Russ., аbstr. in Engl.)
4. Artemenkov S.L. Ordered Partial Correlation Networks in Psychological Research. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 2021. Vol. 11, no. 2, pp. 31–50. DOI: 10.17759/mda.2021110202. (In Russ., аbstr. in Engl.)
5. Artemenkov S.L., Bogoyavleyskaya D.B., Joukova E.S. Intellectual and Motivational Components in the Longitudinal Study of Giftedness. Problemy sovremennogo obrazovaniya = Problems of modern education, 2021. 1. 47-61. DOI: 10.31862/2218-8711-2021-1-47-61 (In Russ., аbstr. in Engl.)
6. Bogoyavleyskaya D.B. Method for studying intellectual activity. Voprosy psihologii = Psychology issues, 1971. 144–146. ISSN: 0042-8841
7. Bogoyavleyskaya D.B. Psihologiya tvorcheskih sposobnostej / Psihologicheskij in-t RAO. Samara: Fedorov, 414 p. ISBN 978-5-393-00288-6
8. Bogoyavlenskaya D.B., Artemenkov S.L., Joukova E.S. Longitudinal Study on the Development of Giftedness. Eksperimental'naâ psihologiâ = Experimental Psychology (Russia), 2021. Vol. 14, no. 3, pp. 122–137. DOI: 10.17759/exppsy.2021140309. (In Russ., аbstr. in Engl.)
9. Bogoyavlenskaya D.B., Joukova E.S., Artemenkov S.L. Characteristics of the Cognitive Activity of Children of Senior Preschool Age in Different Time Periods. Mir psihologii = World of Psychology, 2023, 2, 190-197. DOI: 10.51944/20738528_2023_2_190
10. Vuchichevich B. Vozrastnye i individual'nye razlichiya v intellektual'nom razvitii mladshih shkol'nikov pri vypolnenii zadanij SPM [Elektronnyj resurs]. Psihologo-pedagogicheskie issledovaniya. 14(1), 95–110. DOI: 10.17759/psyedu.2022140107
11. Davydova YU.A., Ptuha M.V. Individual'nye osobennosti neverbal'nogo intellekta u mladshih shkol'nikov. Vestnik KRSU. 13(3). 94-98.
12. Joukova E.S., Artemenkov S.L., Bogoyavlenskaya D.B. Study of intellectual activity in primary school and adolescence. Modelirovanie i analiz dannikh = Modelling and Data Analysis, 1. 11–29. (In Russ., аbstr. in Engl.)
13. Markovskie modeli v zadachah diagnostiki i prognozirovaniya: Uchebnoe posobie / Pod red. L. S. Kuravskogo. Izdanie vtoroe, dopolnennoe. M.: Izd-vo MGPPU, 204 p. URL: https://psychlib.ru/inc/absid.php?absid=356006.
14. Mitina O.V. Matematicheskie metody v psihologii: Praktikum / O. V. Mitina. M.: Aspekt Press, 238 с.
15. Bogoyavlenskaya D., Joukova E., Artemenkov S. Longitudinal Study Of The Creative Abilities // The European Proceedings of Social & Behavioural Sciences (EpSBS). № 14, с. 125–131. DOI: https://dx.doi.org/10.15405/epsbs.2018.11.02.14.
16. Carpenter PA, Just MA, Shell P: What one intelligence test measures: a theoretical account of the processing in the Raven Progressive Matrices Test. Psychological Review. 1990. 97. 404-431. DOI: 10.1037/0033-295X.97.3.404.
17. Epskamp S., Fried E.I. A tutorial on regularized partial correlation networks. Psychological Methods. 23(4), 617–634. https://doi.org/10.1037/met0000167
18. Joukova, E.S., Artemenkov, S.L., Bogoyavlenskaya, D.B. The Formation of Giftedness and Intelligence at School Age. New Ideas in Child and Educational Psychology. 2022. 1–2(2), 80–92. doi: 10.11621/nicep.2022.0205. https://nicepj.ru/articles/article/1853/
19. Joukova E.S., Bogoyavlenskaya D.B., Artemenkov S.L. The Main Characteristics of the Intellectual and Personal Development of Today’s Primary Schoolchildren. New Ideas in Child and Educational Psychology. 2023. 1–2(4), 48–67. DOI: 10.11621/nicep.2023.0403