Multidimensional ítem response model for nominal variables

This article describes a multidimensional generalization of the nominal categories model that serves to estimate factorial models from nominal and ordinal observed responses, and includes a structural model for latent variables that distinguishes between endogenous and exogenous factors. The model i...

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Detalhes bibliográficos
Autor: Revuelta Menéndez, Javier
Tipo de documento: artigo
Data de publicação:2014
País:España
Recursos:Universidad Autónoma de Madrid
Repositório:Biblos-e Archivo. Repositorio Institucional de la UAM
Idioma:inglês
OAI Identifier:oai:repositorio.uam.es:10486/665170
Acesso em linha:http://hdl.handle.net/10486/665170
https://dx.doi.org/10.1177/0146621614536272
Access Level:Acceso aberto
Palavra-chave:Multidimensional nominal categories model
Ítem factor analysis
Marginal maximum likelihood
Adaptive GH quadrature
Local independence
Multidimensional item response theory
Psicología
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spelling Multidimensional ítem response model for nominal variablesRevuelta Menéndez, JavierMultidimensional nominal categories modelÍtem factor analysisMarginal maximum likelihoodAdaptive GH quadratureLocal independenceMultidimensional item response theoryPsicologíaThis article describes a multidimensional generalization of the nominal categories model that serves to estimate factorial models from nominal and ordinal observed responses, and includes a structural model for latent variables that distinguishes between endogenous and exogenous factors. The model includes a scale parameter for each response category in each factor. Item parameters relate the logit between categories to the vector of latent variables. The inferential framework is marginal maximum likelihood, implemented via static and adaptive Gauss–Hermite quadrature and Monte Carlo EM. The properties of estimators are investigated in a simulation study. An example with real data illustrates the utility of the model in analyzing local dependencies in testlets composed of multiple-choice items that are clustered in several groups around a common theme.This article has been supported by Grant PSI2012-31958 from the Spanish Ministry of Economy and Competitiveness (DGICT).Sage PublicationsDepartamento de Psicología Social y MetodologíaFacultad de Psicología20142014-06-17research articlehttp://purl.org/coar/resource_type/c_2df8fbb1SMURhttp://purl.org/coar/version/c_71e4c1898caa6e32info:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10486/665170https://dx.doi.org/10.1177/0146621614536272reponame:Biblos-e Archivo. Repositorio Institucional de la UAMinstname:Universidad Autónoma de MadridInglésengopen accesshttp://purl.org/coar/access_right/c_abf2info:eu-repo/semantics/openAccessoai:repositorio.uam.es:10486/6651702026-06-23T12:46:27Z
dc.title.none.fl_str_mv Multidimensional ítem response model for nominal variables
title Multidimensional ítem response model for nominal variables
spellingShingle Multidimensional ítem response model for nominal variables
Revuelta Menéndez, Javier
Multidimensional nominal categories model
Ítem factor analysis
Marginal maximum likelihood
Adaptive GH quadrature
Local independence
Multidimensional item response theory
Psicología
title_short Multidimensional ítem response model for nominal variables
title_full Multidimensional ítem response model for nominal variables
title_fullStr Multidimensional ítem response model for nominal variables
title_full_unstemmed Multidimensional ítem response model for nominal variables
title_sort Multidimensional ítem response model for nominal variables
dc.creator.none.fl_str_mv Revuelta Menéndez, Javier
author Revuelta Menéndez, Javier
author_facet Revuelta Menéndez, Javier
author_role author
dc.contributor.none.fl_str_mv Departamento de Psicología Social y Metodología
Facultad de Psicología
dc.subject.none.fl_str_mv Multidimensional nominal categories model
Ítem factor analysis
Marginal maximum likelihood
Adaptive GH quadrature
Local independence
Multidimensional item response theory
Psicología
topic Multidimensional nominal categories model
Ítem factor analysis
Marginal maximum likelihood
Adaptive GH quadrature
Local independence
Multidimensional item response theory
Psicología
description This article describes a multidimensional generalization of the nominal categories model that serves to estimate factorial models from nominal and ordinal observed responses, and includes a structural model for latent variables that distinguishes between endogenous and exogenous factors. The model includes a scale parameter for each response category in each factor. Item parameters relate the logit between categories to the vector of latent variables. The inferential framework is marginal maximum likelihood, implemented via static and adaptive Gauss–Hermite quadrature and Monte Carlo EM. The properties of estimators are investigated in a simulation study. An example with real data illustrates the utility of the model in analyzing local dependencies in testlets composed of multiple-choice items that are clustered in several groups around a common theme.
publishDate 2014
dc.date.none.fl_str_mv 2014
2014-06-17
dc.type.none.fl_str_mv research article
http://purl.org/coar/resource_type/c_2df8fbb1
SMUR
http://purl.org/coar/version/c_71e4c1898caa6e32
dc.type.openaire.fl_str_mv info:eu-repo/semantics/article
format article
dc.identifier.none.fl_str_mv http://hdl.handle.net/10486/665170
https://dx.doi.org/10.1177/0146621614536272
url http://hdl.handle.net/10486/665170
https://dx.doi.org/10.1177/0146621614536272
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 Publications
publisher.none.fl_str_mv Sage Publications
dc.source.none.fl_str_mv reponame:Biblos-e Archivo. Repositorio Institucional de la UAM
instname:Universidad Autónoma de Madrid
instname_str Universidad Autónoma de Madrid
reponame_str Biblos-e Archivo. Repositorio Institucional de la UAM
collection Biblos-e Archivo. Repositorio Institucional de la UAM
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,228081

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