ADAPTIVE NUMERICAL INTEGRATION FOR ITEM RESPONSE THEORY
Tamás Antal, Andreas Oranje · ETS Research Report Series · 2007
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 in IRT in general.