The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Full-Information Item Bi-Factor Analysis
Abstract
A plausible s-factor solution for many types of psychological and educational tests is one that exhibits a general factor and s − 1 group or method related factors. The bi-factor solution results from the constraint that each item has a nonzero loading on the primary dimension and at most one of the s − 1 group factors. This paper derives a bi-factor item-response model for binary response data. In marginal maximum likelihood estimation of item parameters, the bi-factor restriction leads to a major simplification of likelihood equations and (a) permits analysis of models with large numbers of group factors; (b) permits conditional dependence within identified subsets of items; and (c) provides more parsimonious factor solutions than an unrestricted full-information item factor analysis in some cases.
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Citations
Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
Cited by
Boateng, G. O., Neilands, T. B., Frongillo, E. A., Melgar-Quiñonez, H. R., & Young, S. L. (2018) · Frontiers in Public Health · doi:10.3389/fpubh.2018.00149 · Cited by 5,925
mirt: A Multidimensional Item Response Theory Package for the R Environment
Chalmers, R. P. (2012) · Journal of Statistical Software · doi:10.18637/jss.v048.i06 · Cited by 2,643
Pilkonis, P. A., Choi, S. W., Reise, S. P., Stover, A. M., Riley, W. T., Cella, D., & PROMIS Cooperative Group (2011) · Assessment · doi:10.1177/1073191111411667 · Cited by 2,132
The Rediscovery of Bifactor Measurement Models
Reise, S. P. (2012) · Multivariate Behavioral Research · doi:10.1080/00273171.2012.715555 · Cited by 2,112
“This method often is referred to as “full-information” item factor analysis because it uses the entire item response matrix as part of the calibration (Gibbons & Hedeker, 1992).”
Item factor analysis: Current approaches and future directions.
Wirth, R. J., & Edwards, M. C. (2007) · Psychological Methods · doi:10.1037/1082-989x.12.1.58 · Cited by 910
Metadata
- Authors
- Gibbons, R. D., & Hedeker, D. R.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1992-09
- Volume
- 57
- Issue
- 3
- Pages
- 423-436
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2626678763
- Cited by
- 595
- References
- 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Gibbons, R. D., & Hedeker, D. R. (1992). Full-Information Item Bi-Factor Analysis. Psychometrika. https://doi.org/10.1007/bf02295430
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
