Asymptotic Distribution of an IRT Person Fit Index

Abstract

The distribution of a certain item response theory (IRT) based person fit index to identify systematic types of aberrance is discussed. For the Rasch model, it is proved that: (1) the joint distribution of subtest-residuals (the components of the index) is asymptotically multivariate normal; and (2) the distribution of the index is asymptotically chi-square… (More)

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Cite this paper

@inproceedings{Kogut2007AsymptoticDO, title={Asymptotic Distribution of an IRT Person Fit Index}, author={Jan Kogut and Lorette Padberg}, year={2007} }