Incorporating item response theory into structural equation modes and modeling the nonlinear relationship among latent variables

Wen Chung WANG, Kuan Yu JIN

Research output: Contribution to conferencePapers

Abstract

In structural equation models (SEM), linearity between indicators and latent variables and among latent variables is often assumed. This assumption is often too restrictive. In this study, we incorporated item response theory into SEM so that the relationship between item responses and latent variables can be better described and the relationship among latent variables can be nonlinear. Parameters of the new class of models can be estimated using Bayesian methods. In a series of simulations, we demonstrated how the Markov Chain Monte Carlo estimation procedure and the freeware WinBUGS can be applied to estimate parameters. The simulation results showed that all parameters can be recovered very well, suggesting great flexibility of the new class of models.
Original languageEnglish
Publication statusPublished - 2012

Citation

Wang, W.-C., & Jin, K.-Y. (2012, April). Incorporating item response theory into structural equation modes and modeling the nonlinear relationship among latent variables. Paper presented at the American Educational Research Association AERA 2012 Annual Meeting: Non Satis Scire: To Know is not enough, Vancouver, British Columbia, Canada.

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