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Item Response Model from a Distance Perspective

Weksi Budiaji

No wcbu9, Thesis Commons from Center for Open Science

Abstract: There are two frameworks of models in item response theory (IRT), unipolar and bipolar models. The bipolar models usually use a distance approach, but this approach has not yet been applied in the unipolar models. Five examples of unipolar models are the Rasch, the two parameter logistic (2PL) model, the rating scale model (RSM), the multidimensional Rasch model (MRM), and the multidimensional 2PL model (M2PLM). We will show that unipolar models can also be built using distances. Therefore, the Ideal Point Classfication (IPC) model is used. The parameters of the IPC model are linearly related to those of the unipolar models. The item midpoint positions and the person positions in the IPC model are the shrinkage version of the location parameters and the ability parameters, respectively.

Date: 2012-08-26
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Persistent link: https://EconPapers.repec.org/RePEc:osf:thesis:wcbu9

DOI: 10.31219/osf.io/wcbu9

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