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On the Relationship between iTem Response Theory and Factor Analysis of Discretized Variables
Abstract
Equivalence of marginal likelihood of the two-parameter normal ogive model in item response theory (IRT) and factor analysis of dichotomized variables (FA) was formally proved. The basic result on the dichotomous variables was extended to multicategory cases, both ordered and unordered categorical data. Pair comparison data arising from multiple-judgment sampling were discussed as a special case of the unordered categorical data. A taxonomy of data for the IRT and FA models was also attempted.
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On the use, the misuse, and the very limited usefulness of Cronbach’s alpha
Sijtsma, K. (2009) · Psychometrika · doi:10.1007/s11336-008-9101-0 · Cited by 2,814
The Rediscovery of Bifactor Measurement Models
Reise, S. P. (2012) · Multivariate Behavioral Research · doi:10.1080/00273171.2012.715555 · Cited by 2,112
Dimensionality assessment of ordered polytomous items with parallel analysis
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Metadata
- Authors
- Takane, Y., & de Leeuw, J.
- Venue
- Psychometrika
- Publisher
- Cambridge University Press (CUP)
- Published
- 1987-09
- Volume
- 52
- Issue
- 3
- Pages
- 393-408
- ISSN
- 0033-3123 (ISSN-L)
- 1860-0980
- OpenAlex
- W2010182987
- Cited by
- 691
- References
- 2
- FWCI
- 4.15
- Type
- journal article
- Language
- en
- Open access
- closed
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