ACADEMIC JOURNAL OF EDUCATIONAL RESEARCH AND MANAGEMENT (AJERM)
A New Methodology to Evaluate Factor Scores: Internal and External Correlational Accuracy
E-ISSN: 2390-4383
P-ISSN: 1330-3473
DOI: https://iigdpublishers.com/article/1453
In factor analysis, the indeterminacy of factor scores brings the possibility to produce multiple solutions, which often do not reproduce the true correlations of the factors in a measurement model. Grice (2001) emphasizes the need to evaluate the similarity between the correlations of the factors in the measurement model and those of their factor scores, terming this similarity correlational accuracy. Existing factor score techniques address this issue within a single measurement model, posing a limitation when multiple models are relevant. Moreover, Grice's proposal lacks a well-defined methodological framework. This article addresses these limitations by introducing two systematic categories of analysis: internal and external correlational accuracy. In the first of these, we create a well-defined methodological path for Grice's proposal. In the second, we create a way of evaluating factor scores in the context of various measurement models. A step-by-step method and examples are presented.
Heitor Blesa Farias, Cristiano Mauro Assis Gomes & Enio Galinkin Jelihovschi
Alves, F. A., Flores, R. P., Gomes, C. M. A., Golino, H. F. (2012). Preditores do rendimento escolar: Inteligência geral e crenças sobre ensino-aprendizagem [Predictors of school performance: General intelligence and beliefs about teaching and learning]. Revista E-PSI, 1, 97-117. https://revistaepsi.com/artigo/2012-ano2-volume1-artigo5/
Araujo, J., de Souza Daniel, M., & Gomes, C. (2023). The correction guide of the ApproachIn-Process Test (version 2) and its use in the content “Epistemological issues in knowledge acquisition in the theory of Jean Piaget”. European Journal of Education Studies, 10(4), 29-58. http://dx.doi.org/10.46827/ejes.v10i4.4741
Beauducel, A., Hilger, N., & Kuhl, T. (2023). The trade-off between factor score determinacy and the preservation of inter-factor correlations. Educational and Psychological Measurement, 1-25. https://doi.org/10.1177/00131644231171137
Costa, B. C. G. (2018). Caminhos para predição do desempenho acadêmico: um modelo de variáveis cognitivas e socioemocionais [Pathways to predict academic performance: a model of cognitive and socio-emotional variables]. [Doctoral dissertation, Universidade de Brasília]. https://repositorio.unb.br/handle/10482/32994
Croon M. (2002). Using predicted latent scores in general latent structure models. In Marcoulides G., Moustaki I. (Eds.), Latent variable and latent structure modeling (pp. 195-223). Mahwah, NJ: Lawrence Erlbaum
