Estimating the latent trait from Likert-type data : a comparison of factor analysis, item response theory, and multidimensional scaling

dc.contributor.advisorKoch, William R.
dc.creatorChan, Chihyu, 1959-
dc.date.accessioned2021-12-19T22:28:18Z
dc.date.available2021-12-19T22:28:18Z
dc.date.issued1991
dc.description.abstractSeven statistical procedures were compared with one another in terms of the ability to recover a unidimensional latent trait from Likert-type data. They are factor analysis based on either Pearson correlations (FA-PR) or polychoric correlations (FAPL), the graded response model in item response theory (IRT-GRM), internal unfolding (IMDU), external unfolding (EMDU), weighted unfolding (WMDU), and the common procedure of summing up successive integers assigned to response categories (SSI). Sample size, test length, and skewness of item response distributions were manipulated in this simulation study. Generally speaking, IRT-GRM performed the best and was most robust against skewness. FA-PR and FA-PL performed equally well across almost all conditions but were competitive with IRT-GRM only when item responses were normally distributed. SSI practice might be slightly worse than the two FA procedures when item responses were normally distributed, but it was better than them when item responses were highly skewed. WMDU performed as well as did SSI only when item responses were normally distributed or moderately skewed and sample size was large for MDS models (e.g., N=100). IMDU and EMDU were even worse than WMDU and appeared not appropriate for Likert-type dataen_US
dc.description.departmentEducational Psychologyen_US
dc.format.mediumelectronicen_US
dc.identifier.urihttps://hdl.handle.net/2152/90865
dc.identifier.urihttp://dx.doi.org/10.26153/tsw/17784
dc.language.isoengen_US
dc.relation.ispartofUT Electronic Theses and Dissertationsen_US
dc.rightsCopyright © is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en_US
dc.rights.restrictionRestricteden_US
dc.subjectLatent variablesen_US
dc.subjectFactor analysisen_US
dc.subjectItem response theoryen_US
dc.subjectMultidimensional scalingen_US
dc.subjectPsychometricsen_US
dc.subject.lcshLatent variables
dc.subject.lcshFactor analysis
dc.subject.lcshItem response theory
dc.subject.lcshMultidimensional scaling
dc.subject.lcshPsychometrics
dc.titleEstimating the latent trait from Likert-type data : a comparison of factor analysis, item response theory, and multidimensional scalingen_US
dc.typeThesisen_US
dc.type.genreThesisen_US
thesis.degree.departmentEducational Psychologyen_US
thesis.degree.disciplineEducational Psychologyen_US
thesis.degree.grantorUniversity of Texas at Austinen_US
thesis.degree.levelDoctoralen_US
thesis.degree.nameDoctor of Philosophyen_US

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