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On the Latent Regression Model of Item Response Theory NAEP

Author(s):
Antal, Tamas
Publication Year:
2007
Report Number:
RR-07-12
Source:
ETS Research Report
Document Type:
Report
Page Count:
19
Subject/Key Words:
National Assessment of Educational Progress (NAEP), EM Algorithm, Latent Regression, Newton-Raphson Method, Gauss-Hermite Integration

Abstract

Full account of the latent regression model for the National Assessment of Educational Progress is given. The treatment includes derivation of the EM algorithm, Newton-Raphson method, and the asymptotic standard errors. The paper also features the use of the adaptive Gauss-Hermite numerical integration method as a basic tool to evaluate expectations necessary to perform the parameter estimations.

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