ERIC Number: EJ725011
Record Type: Journal
Publication Date: 2005
Pages: 15
Abstractor: Author
ISBN: N/A
ISSN: ISSN-1070-5511
EISSN: N/A
Available Date: N/A
Embedding IRT in Structural Equation Models: A Comparison with Regression Based on IRT Scores
Lu, Irene R. R.; Thomas, D. Roland; Zumbo, Bruno D.
Structural Equation Modeling: A Multidisciplinary Journal, v12 n2 p263-277 2005
This article reviews the problems associated with using item response theory (IRT)-based latent variable scores for analytical modeling, discusses the connection between IRT and structural equation modeling (SEM)-based latent regression modeling for discrete data, and compares regression parameter estimates obtained using predicted IRT scores and standardized number-right scores in Ordinary Least Squares (OLS) regression with regression estimates obtained using the combined IRT-SEM approach. The Monte Carlo results show the expected a posteriori (EA approach is insensitive to sample size as expected but leads to appreciable attenuation in regression parameter estimates. Standardized number-right estimates and EAP regression estimates were found to be highly comparable. On the other hand, the IRT-SEM method produced smaller finite sample bias, and as expected, generated consistent regression estimates for suitably large sample sizes.
Descriptors: Least Squares Statistics, Item Response Theory, Structural Equation Models, Comparative Analysis, Monte Carlo Methods, Scores
Lawrence Erlbaum Associates, Inc., Journal Subscription Department, 10 Industrial Avenue, Mahwah, NJ 07430-2262. Tel: 800-926-6579 (Toll Free); e-mail: journals@erlbaum.com.
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A