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Should we constrain the thresholds in factor analysis of rating scale responses?Sočan, GregorIn factor analysis of ordinal variables, category thresholds determine the values of a hypothetical latent response at which a transition to a higher response option occurs. In general, category ... thresholds are estimated as free parameters. In the Rasch measurement theory framework, the rating-scale model has been proposed that prescribes equal sets of distances between category thresholds for all items. As a factor analytic parallel, I propose a model with a constrained threshold structure (FACTS). The application of the model is illustrated with a real data example. A simulation study showed that the thresholds are estimated more accurately with the FACTS model than with the standard unconstrained model for different sample sizes, test lengths, and number of response categories. In addition, the likelihood ratio test generally showed good power in compar-ing the two models. Because the FACTS model performs well and provides a meaningful interpretation of category thresholds, it may be used routinely in factor analysis of categorical item responses.Vir: TPM Testing, psychometrics, methodology in applied psychology. - ISSN 1972-6325 (Vol. 31, no. 2, Jun. 2024, str. 159-170)Vrsta gradiva - članek, sestavni del ; neleposlovje za odrasleLeto - 2024Jezik - angleškiCOBISS.SI-ID - 201807363
Povezava(-e):
https://www.tpmap.org/should-we-constrain-the-thresholds-in-factor-analysis-of-rating-scale-responses/
https://osf.io/fe6mu/?view_only=c74c4016256847788d29a6121908852dDodatno gradivo za model FACTS
DOI
Avtor
Sočan, Gregor
Teme
ocenjevalne lestvice |
prag |
kategorialni podatki |
faktorska analiza |
simulacija |
simulacija |
rating scales |
thresholds |
categorical data |
factor analysis |
simulation |
simulation
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vir: TPM Testing, psychometrics, methodology in applied psychology. - ISSN 1972-6325 (Vol. 31, no. 2, Jun. 2024, str. 159-170)
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