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Empirical Comparison Between Factor Analysis and Multidimensional Item Response Models
Abstract
Many factor analysis and multidimensional item response models for dichotomous variables have been proposed in literature. The models and various methods for estimating the item parameters are reviewed briefly. In a simulation study these methods are compared with respect to their estimates of the item parameters both in terms of an item response theory formulation and in terms of a factor analysis formulation. It is concluded that for multidimensional data a common factor analysis on the matrix of tetrachoric correlations performs at least as well as the theoretically appropriate multidimensional item response models.
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Citations
Cited by
Rhemtulla, M., Brosseau-Liard, P. É., & Savalei, V. (2012) · Psychological Methods · doi:10.1037/a0029315 · Cited by 2,816
The Rediscovery of Bifactor Measurement Models
Reise, S. P. (2012) · Multivariate Behavioral Research · doi:10.1080/00273171.2012.715555 · Cited by 2,112
“Knol and Berger (1991), for example, demonstrated that an ordinary least squares factor analysis of tetrachorics often can recover known item parameters just as well, if not better than, more complicated estimation methods (see also Finch, 2010, 2011).”
The role of the bifactor model in resolving dimensionality issues in health outcomes measures
Reise, S. P., Morizot, J., & Hays, R. D. (2007) · Quality of Life Research · doi:10.1007/s11136-007-9183-7 · Cited by 747
A new look at Horn’s parallel analysis with ordinal variables.
Garrido, L. E., Abad, F. J., & Ponsoda, V. (2013) · Psychological Methods · doi:10.1037/a0030005 · Cited by 334
Montero-Marin, J., Tops, M., Manzanera, R., Piva Demarzo, M. M., Álvarez de Mon, M., & García-Campayo, J. (2015) · Frontiers in Psychology · doi:10.3389/fpsyg.2015.01895 · Cited by 120
“The protocol used was approved through the Ethical Committee of the UAH, Spain.”
BackgroundMethod
Metadata
- Authors
- Knol, D. L., & Berger, M. P. F.
- Venue
- Multivariate Behavioral Research
- Publisher
- Informa UK Limited
- Published
- 1991-07
- Volume
- 26
- Issue
- 3
- Pages
- 457-477
- ISSN
- 0027-3171 (ISSN-L)
- 1532-7906
- OpenAlex
- W2085076418
- Cited by
- 176
- References
- 0
- FWCI
- 1.96
- Type
- journal article
- Language
- en
- Open access
- closed
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- Knol, D. L., & Berger, M. P. F. (1991). Empirical Comparison Between Factor Analysis and Multidimensional Item Response Models. Multivariate Behavioral Research. https://doi.org/10.1207/s15327906mbr2603_5
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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