Rotation Local Solutions in Multidimensional Item Response Theory Models.
We conducted an extensive Monte Carlo study of factor-rotation local solutions (LS) in multidimensional, two-parameter logistic (M2PL) item response models. In this study, we simulated more than 19,200 data sets that were drawn from 96 model conditions and performed more than 7.6 million rotations t...
| Publicado en: | Educational & Psychological Measurement Vol. 84; no. 6; pp. 1045 - 1076 |
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| Autores principales: | , |
| Formato: | Artículo |
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Sage Publications Inc.
Dec2024
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| Acceso en línea: | Ver este registro en EBSCOhost |
| fields | @attributes: recordID: 1 pdfLink: plink: https://search.ebscohost.com/login.aspx?direct=true&db=ssf&AN=180676610&site=ehost-live header: @attributes: shortDbName: ssf uiTerm: 180676610 longDbName: Social Sciences Full Text (H.W. Wilson) uiTag: AN controlInfo: bkinfo: jinfo: jid: 00131644 EPM jtl: Educational & Psychological Measurement issn: 00131644 maglogo: Y pubinfo: dt: Dec2024 vid: 84 iid: 6 pid: 344 pub: Sage Publications Inc. artinfo: ui: 180676610 10.1177/00131644231223722 ppf: 1045 ppct: 31 formats: tig: atl: Rotation Local Solutions in Multidimensional Item Response Theory Models. aug: au: Nguyen, Hoang V. Waller, Niels G. affil: University of Minnesota, Twin Cities, Minneapolis, USA su: Multidimensional scaling Psychological tests Statistical models Data analysis Descriptive statistics Statistics Algorithms sug: subj: Multidimensional scaling Psychological tests Statistical models Data analysis Descriptive statistics Statistics Algorithms keyword: factor rotations geomin local solutions multidimensional item response theory oblimin factor rotations geomin local solutions multidimensional item response theory oblimin ab: We conducted an extensive Monte Carlo study of factor-rotation local solutions (LS) in multidimensional, two-parameter logistic (M2PL) item response models. In this study, we simulated more than 19,200 data sets that were drawn from 96 model conditions and performed more than 7.6 million rotations to examine the influence of (a) slope parameter sizes, (b) number of indicators per factor (trait), (c) probabilities of cross-loadings, (d) factor correlation sizes, (e) model approximation error, and (f) sample sizes on the local solution rates of the oblimin and (oblique) geomin rotation algorithms. To accommodate these design variables, we extended the standard M2PL model to include correlated major factors and uncorrelated minor factors (to represent model error). Our results showed that both rotation methods converged to LS under some conditions with geomin producing the highest local solution rates across many models. Our results also showed that, for identical item response patterns, rotation LS can produce different latent trait estimates with different levels of measurement precision (as indexed by the conditional standard error of measurement). Follow-up analyses revealed that when rotation algorithms converged to multiple solutions, quantitative indices of structural fit, such as numerical measures of simple structure, will often misidentify the rotation that is closest in mean-squared error to the factor pattern (or item-slope pattern) of the data-generating model. pubtype: Academic Journal doctype: Article src: R language: English refInfo: copyright: @attributes: flag: N holdings: @attributes: islocal: N |
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