Article1993

The Asymptotic Posterior Normality of the Latent Trait in an IRT Model

117 citations0/0 files storedPsychometrika

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Psychometric Methodologies and Testing Statistical Distribution Estimation and Applications Statistical Methods and Bayesian Inference

Abstract

It has long been part of the item response theory (IRT) folklore that under the usual empirical Bayes unidimensional IRT modeling approach, the posterior distribution of examinee ability given test response is approximately normal for a long test. Under very general and nonrestrictive nonparametric assumptions, we make this claim rigorous for a broad class of latent models.

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References

2012Applications of Item Response Theory To Practical Testing Problems 1982Adaptive EAP Estimation of Ability in a Microcomputer Environment 1990A New Item Response Theory Modeling Approach with Applications to Unidimensionality Assessment and Ability Estimation 1989A New Item Response Theory Modeling Approach with Applications to Unidimensionality Assessment and Ability Estimation 1987Study of the measurement bias of two standardized psychological tests.1990On the Sampling Theory Roundations of Item Response Theory Models

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