Author, as appears in the article.: Ferrando, Pere J.; Hernandez-Dorado, Ana; Lorenzo-Seva, Urbano;
Department: Psicologia
URV's Author/s: Ferrando Piera, Pere Joan / Hernández Dorado, Ana / Lorenzo Seva, Urbano
Keywords: Parallel analysis Index Image theory Exploratory factor analysis Expected parameter change Doublets Correlated residuals
Abstract: In the classical exploratory factor analysis (EFA) model, residuals are constrained to be uncorrelated. However, since the 1960s, extensions of the classical model that allow correlated residuals to be modeled exist. Furthermore, in many EFA applications (especially those intended for item analysis) it is highly relevant to decide whether an extended solution is more appropriate than the simpler classical solution. This decision, in turn, requires effective and powerful methods for detecting correlated residuals (doublets) when they are really present to be available. This paper discusses two existing detection approaches in the EFA context, and proposes a third, new procedure. Reference values, based on the concept of parallel analysis, are proposed for deciding the relevance of the flagged doublets in all the considered procedures. The functioning of the three procedures is assessed by using simulation, and illustrated with an illustrative example. The proposal, finally, has been implemented in a well-known noncommercial EFA program, and an implementation in R is being developed.
Thematic Areas: Sociology and political science Sociologia i política Social sciences, mathematical methods Psychology Psicología Modeling and simulation Mathematics, interdisciplinary applications Matemática / probabilidade e estatística General o multidisciplinar General economics,econometrics and finance General decision sciences Economics, econometrics and finance (miscellaneous) Economics, econometrics and finance (all) Economia Decision sciences (miscellaneous) Decision sciences (all) Ciencias sociales
licence for use: https://creativecommons.org/licenses/by/3.0/es/
Author's mail: ana.hernandez@urv.cat perejoan.ferrando@urv.cat urbano.lorenzo@urv.cat ana.hernandez@urv.cat
Author identifier: 0000-0002-3133-5466 0000-0001-5369-3099
Record's date: 2023-04-08
Papper version: info:eu-repo/semantics/publishedVersion
Link to the original source: https://www.tandfonline.com/doi/full/10.1080/10705511.2021.2004543
Licence document URL: http://repositori.urv.cat/ca/proteccio-de-dades/
Papper original source: Structural Equation Modeling-A Multidisciplinary Journal. 29 (4): 630-638
APA: Ferrando, Pere J.; Hernandez-Dorado, Ana; Lorenzo-Seva, Urbano; (2022). Detecting Correlated Residuals in Exploratory Factor Analysis: New Proposals and a Comparison of Procedures. Structural Equation Modeling-A Multidisciplinary Journal, 29(4), 630-638. DOI: 10.1080/10705511.2021.2004543
Article's DOI: 10.1080/10705511.2021.2004543
Entity: Universitat Rovira i Virgili
Journal publication year: 2022
Publication Type: Journal Publications
Repositori URV