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A Bayesian Hierarchical Model for Large-Scale Educational Surveys: An Application to the National Assessment of Educational Progress NAEP MCMC

Author(s):
Johnson, Matthew S.; Jenkins, Frank
Publication Year:
2005
Report Number:
RR-04-38
Source:
ETS Research Report
Document Type:
Report
Page Count:
28
Subject/Key Words:
National Assessment of Educational Progress (NAEP), Bayesian Analysis, Markov Chain Monte Carlo (MCMC), Item Response Theory (IRT), Cluster Sampling, Large-Scale Assessment

Abstract

The point estimates from the Bayesian model and the operational method are quite similar in most cases, but there does seem to be systematic differences in measures of uncertainty (e.g., standard errors, confidence intervals).

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