TY - JOUR
AU1 - Cho, Sun-Joo
AU2 - Cohen, Allan S.
AB - Mixture item response theory models have been suggested as a potentially useful methodology for identifying latent groups formed along secondary, possibly nuisance dimensions. In this article, we describe a multilevel mixture item response theory (IRT) model (MMixIRTM) that allows for the possibility that this nuisance dimensionality may function differently at different levels. A MMixIRT model is described that enables simultaneous detection of differences in latent class composition at both examinee and school levels. The MMixIRTM can be viewed as a combination of an IRT model, an unrestricted latent class model, and a multilevel model. A Bayesian estimation of the MMixIRTM is described including analysis of label switching, use of priors, and model selection strategies. Results of a simulation study indicated that the generated parameters were recovered very well for the conditions considered. Use of MMixIRTM also was illustrated with the standardized mathematics test.
TI - A Multilevel Mixture IRT Model With an Application to DIF
JF - Journal of Educational and Behavioral Statistics
DO - 10.3102/1076998609353111
DA - 2010-06-01
UR - https://www.deepdyve.com/lp/sage/a-multilevel-mixture-irt-model-with-an-application-to-dif-sOoYtyQlin
SP - 336
EP - 370
VL - 35
IS - 3
DP - DeepDyve
ER -