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On Lagrange Multiplier Tests in Multidimensional Item Response Theory: Information Matrices and Model Misspecification
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Falk, Carl F.; Monroe, Scott – Educational and Psychological Measurement, 2018
Lagrange multiplier (LM) or score tests have seen renewed interest for the purpose of diagnosing misspecification in item response theory (IRT) models. LM tests can also be used to test whether parameters differ from a fixed value. We argue that the utility of LM tests depends on both the method used to compute the test and the degree of…
Descriptors: Item Response Theory, Matrices, Models, Statistical Analysis
Estimation of a Ramsay-Curve Item Response Theory Model by the Metropolis-Hastings Robbins-Monro Algorithm
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Monroe, Scott; Cai, Li – Educational and Psychological Measurement, 2014
In Ramsay curve item response theory (RC-IRT) modeling, the shape of the latent trait distribution is estimated simultaneously with the item parameters. In its original implementation, RC-IRT is estimated via Bock and Aitkin's EM algorithm, which yields maximum marginal likelihood estimates. This method, however, does not produce the…
Descriptors: Item Response Theory, Models, Computation, Mathematics