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Comparison of Multidimensional Item Response Models: Multivariate Normal Ability Distributions Versus Multivariate Polytomous Ability Distributions GDM MIRT 2PL

Author(s):
Haberman, Shelby J.; von Davier, Matthias; Lee, Yi-Hsuan
Publication Year:
2008
Report Number:
RR-08-45
Source:
ETS Research Report
Document Type:
Report
Page Count:
25
Subject/Key Words:
Item Response Models, Multidimensional Item Response Theory (MIRT), Multivariate Analysis, Gauss-Hermite Integration, Log-Linear Modeling, 2-Parameter Logistic (2PL) Model, General Diagnostic Model (GDM)

Abstract

In the case of the multivariate normal ability distribution, multivariate adaptive Gauss-Hermite quadrature can be employed to greatly reduce computational labor. In the case of a polytomous ability distribution, use of log-linear models permits efficient computations.

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