Adaptive Numerical Integration for Item Response Theory IRT NAEP
- Author(s):
- Antal, Tamas; Oranje, Andreas
- Publication Year:
- 2007
- Report Number:
- RR-07-06
- Source:
- ETS Research Report
- Document Type:
- Report
- Page Count:
- 14
- Subject/Key Words:
- Gauss-Hermite Integration, Item Response Theory (IRT), EM Algorithm, National Assessment of Educational Progress (NAEP)
Abstract
Well-known numerical integration methods are applied to item response theory (IRT) with special emphasis on the estimation of the latent regression model of NAEP. An argument is made that the Gauss-Hermite rule enhanced with Cholesky decomposition and normal approximation of the response likelihood is a fast, precise, and reliable alternative for the numerical integration in NAEP and IRT in general.
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- http://dx.doi.org/10.1002/j.2333-8504.2007.tb02048.x