ERIC Number: ED603373
Record Type: Non-Journal
Publication Date: 2019
Pages: 26
Abstractor: As Provided
ISBN: N/A
ISSN: EISSN-
EISSN: N/A
Available Date: N/A
Bayesian Model Selection Methods for Multilevel IRT Models: A Comparison of Five DIC-Based Indices
Zhang, Xue; Tao, Jian; Wang, Chun; Shi, Ning-Zhong
Grantee Submission, Journal of Educational Measurement v56 n1 p3-27 Spr 2019
Model selection is important in any statistical analysis, and the primary goal is to find the preferred (or most parsimonious) model, based on certain criteria, from a set of candidate models given data. Several recent publications have employed the deviance information criterion (DIC) to do model selection among different forms of multilevel item response theory models (MLIRT). The majority of the practitioners use WinBUGS for implementing MCMC algorithms for MLIRT models, and the default version of DIC provided by WinBUGS focused on the measurement-level parameters only. The results herein show that this version of DIC is inappropriate. This study introduces five variants of DIC as a model selection index for MLIRT models with dichotomous outcomes. Considering a multilevel IRT model with three levels, five forms of DIC are formed: first-level conditional DIC computed from the measurement model only, which is the index given by many software packages such as WinBUGS; second-level marginalized DIC and second-level joint DIC computed from the second-level model; and top-level marginalized DIC and top-level joint DIC computed from the entire model. We evaluate the performance of the five model selection indices via simulation studies. The manipulated factors include the number of groups, the number of second-level covariates, the number of top-level covariates, and the types of measurement models (one-parameter vs. two-parameter). Considering the computational viability and interpretability, the second-level joint DIC is recommended for MLIRT models under our simulated conditions. [This article was published in "Journal of Educational Measurement" (EJ1208645).]
Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED)
Authoring Institution: N/A
IES Funded: Yes
Grant or Contract Numbers: R305D170042
Author Affiliations: N/A