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
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oai_identifier_str oai:docta.ucm.es:20.500.14352/33783
network_acronym_str ES
network_name_str España
repository_id_str
spelling Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point ItemsAsún, Rodrigo A.Rdz-Navarro, KarinaAlvarado Izquierdo, Jesús María159.9.072Likert scalesItem factor analysisPolychoric correlationFour-point itemsClassical factor analysisPsicometría6105.05 PsicometríaThis 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.SAGEUniversidad Complutense de Madrid20152015-01-1320152015-01-13journal articlehttp://purl.org/coar/resource_type/c_6501info:eu-repo/semantics/articleapplication/pdfhttps://hdl.handle.net/20.500.14352/33783reponame:Docta Complutenseinstname:Universidad Complutense de Madrid (UCM)Inglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:docta.ucm.es:20.500.14352/337832026-06-02T12:44:21Z
dc.title.none.fl_str_mv Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
title Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
spellingShingle Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
Asún, Rodrigo A.
159.9.072
Likert scales
Item factor analysis
Polychoric correlation
Four-point items
Classical factor analysis
Psicometría
6105.05 Psicometría
title_short Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
title_full Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
title_fullStr Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
title_full_unstemmed Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
title_sort Developing Multidimensional Likert Scales using Item Factor Analysis: The Case of Four-Point Items
dc.creator.none.fl_str_mv Asún, Rodrigo A.
Rdz-Navarro, Karina
Alvarado Izquierdo, Jesús María
author Asún, Rodrigo A.
author_facet Asún, Rodrigo A.
Rdz-Navarro, Karina
Alvarado Izquierdo, Jesús María
author_role author
author2 Rdz-Navarro, Karina
Alvarado Izquierdo, Jesús María
author2_role author
author
dc.contributor.none.fl_str_mv Universidad Complutense de Madrid
dc.subject.none.fl_str_mv 159.9.072
Likert scales
Item factor analysis
Polychoric correlation
Four-point items
Classical factor analysis
Psicometría
6105.05 Psicometría
topic 159.9.072
Likert scales
Item factor analysis
Polychoric correlation
Four-point items
Classical factor analysis
Psicometría
6105.05 Psicometría
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015
2015-01-13
2015
2015-01-13
dc.type.none.fl_str_mv journal article
http://purl.org/coar/resource_type/c_6501
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv https://hdl.handle.net/20.500.14352/33783
url https://hdl.handle.net/20.500.14352/33783
dc.language.none.fl_str_mv Inglés
eng
language_invalid_str_mv Inglés
language eng
dc.rights.none.fl_str_mv open access
http://purl.org/coar/access_right/c_abf2
dc.rights.openaire.fl_str_mv info:eu-repo/semantics/openAccess
rights_invalid_str_mv open access
http://purl.org/coar/access_right/c_abf2
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv SAGE
publisher.none.fl_str_mv SAGE
dc.source.none.fl_str_mv reponame:Docta Complutense
instname:Universidad Complutense de Madrid (UCM)
instname_str Universidad Complutense de Madrid (UCM)
reponame_str Docta Complutense
collection Docta Complutense
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15.300719

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