Autor según el artículo: Lorenzo-Seva, Urbano; Ferrando, Pere J.;

Departamento: Psicologia

Autor/es de la URV: Ferrando Piera, Pere Joan / Lorenzo Seva, Urbano

Palabras clave: Smoothing method Robust estimation Polychoric correlation Not positive definite Heywood cases

Resumen: Least-squares exploratory factor analysis based on tetrachoric/polychoric correlations is a robust, defensible and widely used approach for performing item analysis, especially in the first stages of scale development. A relatively common problem in this scenario, however, is that the inter-item correlation matrix fails to be positive definite. This paper, which is largely intended for practitioners, aims to provide a didactic discussion about the causes, consequences and remedies of this problem. The discussion is more applied than statistical and based on the factor analysis model, and the problem is linked to that of improper solutions. Solutions for preventing the problem from occurring, and the smoothing corrections available at present are described and discussed. A new smoothing algorithm is also proposed.

Áreas temáticas: 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

Acceso a la licencia de uso: https://creativecommons.org/licenses/by/3.0/es/

ISSN: 1070-5511

Direcció de correo del autor: perejoan.ferrando@urv.cat urbano.lorenzo@urv.cat

Identificador del autor: 0000-0002-3133-5466 0000-0001-5369-3099

Fecha de alta del registro: 2023-02-19

Versión del articulo depositado: info:eu-repo/semantics/publishedVersion

Enlace a la fuente original: https://www.tandfonline.com/doi/full/10.1080/10705511.2020.1735393

URL Documento de licencia: http://repositori.urv.cat/ca/proteccio-de-dades/

Referencia al articulo segun fuente origial: Structural Equation Modeling-A Multidisciplinary Journal. 28 (1): 138-147

Referencia de l'ítem segons les normes APA: Lorenzo-Seva, Urbano; Ferrando, Pere J.; (2021). Not Positive Definite Correlation Matrices in Exploratory Item Factor Analysis: Causes, Consequences and a Proposed Solution. Structural Equation Modeling-A Multidisciplinary Journal, 28(1), 138-147. DOI: 10.1080/10705511.2020.1735393

DOI del artículo: 10.1080/10705511.2020.1735393

Entidad: Universitat Rovira i Virgili

Año de publicación de la revista: 2021

Tipo de publicación: Journal Publications