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Here - Tilburg University

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Author and presenter<br />

Straat, Hendrik J.H.; <strong>Tilburg</strong> School of Social and Behavioral Sciences<br />

Title<br />

Conditional Association as a Powerful Tool for Assessing IRT Model Fit<br />

Abstract<br />

The ordinal, unidimensional latent variable model assumes<br />

unidimensionality, local independence, and monotonicity, and implies the<br />

general property of conditional association between sets of items. We specialized<br />

conditional association into three useful observable consequences and<br />

implemented them in a new scaling procedure that we coined CA scaling. CA<br />

scaling aims at identifying items that are inconsistent with the unidimensional<br />

latent variable model, removing those items from the initial item set, and<br />

producing a subset of items that is consistent with the unidimensional latent<br />

variable model. We compared CA scaling with the scaling procedures DETECT<br />

and Mokken scale analysis, and found that CA scaling produced longer scales<br />

consistent with the unidimensional latent variable model.

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