Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items

This study compares the performance of two approaches in analysing fourpoint Likert rating scales with a factorial model: the classical factor analysis (FA) and the item factor analysis (IFA). For FA, maximum likelihood and weighted least squares estimations using Pearson correlation matrices among...

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Detalles Bibliográficos
Autores: Asún, Rodrigo A., Rdz-Navarro, Karina, Alvarado Izquierdo, Jesús María
Tipo de recurso: artículo
Fecha de publicación:2015
País:España
Institución:Universidad Complutense de Madrid (UCM)
Repositorio:Docta Complutense
Idioma:inglés
OAI Identifier:oai:docta.ucm.es:20.500.14352/33783
Acceso en línea:https://hdl.handle.net/20.500.14352/33783
Access Level:acceso abierto
Palabra clave:159.9.072
Likert scales
Item factor analysis
Polychoric correlation
Four-point items
Classical factor analysis
Psicometría
6105.05 Psicometría
Descripción
Sumario:This study compares the performance of two approaches in analysing fourpoint Likert rating scales with a factorial model: the classical factor analysis (FA) and the item factor analysis (IFA). For FA, maximum likelihood and weighted least squares estimations using Pearson correlation matrices among items are compared. For IFA, diagonally weighted least squares and unweighted least squares estimations using items polychoric correlation matrices are compared. Two hundred and ten conditions were simulated in a Monte Carlo study considering: one to three factor structures (either, independent and correlated in two levels), medium or low quality of items, three different levels of item asymmetry and five sample sizes. Results showed that IFA procedures achieve equivalent and accurate parameter estimates; in contrast, FA procedures yielded biased parameter estimates. Therefore, we do not recommend classical FA under the conditions considered. Minimum requirements for achieving accurate results using IFA procedures are discussed.