Open AccessADAPTIVE NUMERICAL INTEGRATION FOR ITEM RESPONSE THEORY
Author(s) -
Antal Tamás,
Oranje Andreas
Publication year - 2007
Publication title -
ets research report series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.235
H-Index - 5
ISSN - 2330-8516
DOI - 10.1002/j.2333-8504.2007.tb02048.x
Subject(s) - cholesky decomposition , item response theory , numerical integration , mathematics , computerized adaptive testing , computer science , calculus (dental) , econometrics , mathematical optimization , statistics , psychometrics , medicine , mathematical analysis , eigenvalues and eigenvectors , physics , dentistry , quantum mechanics
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.