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A Note on the Relation Between Factor Analytic and Item Response Theory Models

by: Akihito Kamata, Daniel J Bauer
Structural Equation Modeling: A Multidisciplinary Journal, Vol. 15, No. 1. (2008), pp. 136-153.

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The relations among several alternative parameterizations of the binary factor analysis model and the 2-parameter item response theory model are discussed. It is pointed out that different parameterizations of factor analysis model parameters can be transformed into item response model theory parameters, and general formulas are provided. Illustrative data analysis is provided to demonstrate the transformations.


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