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Journal of Educational and Behavioral Statistics
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Article

On the Estimation of Hierarchical Latent Regression Models for Large-Scale Assessments

Deping Li*, Andreas Oranje, and Yanlin Jiang

* To whom correspondence should be addressed. E-mail: dli{at}ets.org.


   Abstract
To find population proficiency distributions, a two-level hierarchical linear model may be applied to large-scale survey assessments such as the National Assessment of Educational Progress (NAEP). The model and parameter estimation are developed and a simulation was carried out to evaluate parameter recovery. Subsequently, both a hierarchical and a simple model were applied to NAEP reading data. The impact of using a hierarchical model was found to be relatively modest in this case, mostly due to modest clustering. Several other applications and future studies are discussed.

First published on October 26, 2009
Journal of Educational and Behavioral Statistics 2009, doi:10.3102/1076998609332757


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