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ERIC Number: ED555701
Record Type: Non-Journal
Publication Date: 2013-Sep
Pages: 42
Abstractor: As Provided
Reference Count: 26
Estimation of Contextual Effects through Nonlinear Multilevel Latent Variable Modeling with a Metropolis-Hastings Robbins-Monro Algorithm. CRESST Report 833
Yang, Ji Seung; Cai, Li
National Center for Research on Evaluation, Standards, and Student Testing (CRESST)
The main purpose of this study is to improve estimation efficiency in obtaining full-information maximum likelihood (FIML) estimates of contextual effects in the framework of a nonlinear multilevel latent variable model by adopting the Metropolis-Hastings Robbins-Monro algorithm (MH-RM; Cai, 2008, 2010a, 2010b). Results indicate that the MH-RM algorithm can produce FIML estimates and their standard errors efficiently, and the efficiency of MH-RM was more prominent for a cross-level interaction model, which requires five dimensional integration. Simulations, with various sampling and measurement structure conditions, were conducted to obtain information about the performance of nonlinear multilevel latent variable modeling compared to traditional hierarchical linear modeling. Results suggest that nonlinear multilevel latent variable modeling can more properly estimate and detect a contextual effect and a cross-level interaction than the traditional approach. As empirical illustrations, two subsets of data extracted from The Programme for International Student Assessment (PISA, 2000; OECD, 2000) were analyzed. Two appendices are included: (1) Observed and complete data likelihoods; and (2) First and second order derivatives of the complete data models. [The work reported herein received additional support from the Society of Multivariate Experimental Psychology Dissertation Support Awards.]
National Center for Research on Evaluation, Standards, and Student Testing (CRESST). 300 Charles E Young Drive N, GSE&IS Building 3rd Floor, Mailbox 951522, Los Angeles, CA 90095-1522. Tel: 310-206-1532; Fax: 310-825-3883; Web site:
Publication Type: Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: Institute of Education Sciences (ED); National Institute on Drug Abuse (DHHS/PHS)
Authoring Institution: National Center for Research on Evaluation, Standards, and Student Testing
Identifiers - Assessments and Surveys: Program for International Student Assessment
Grant or Contract Numbers: R305D100039; R01DA026943; R01DA030466