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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- http://dx.doi.org/10.1002/j.2333-8504.2007.tb02054.x