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Item-Fit Statistic Based on Posterior Probabilities of Membership in Ability Groups.


ABSTRACT: A novel approach to item-fit analysis based on an asymptotic test is proposed. The new test statistic, χw2 , compares pseudo-observed and expected item mean scores over a set of ability bins. The item mean scores are computed as weighted means with weights based on test-takers' a posteriori density of ability within the bin. This article explores the properties of χw2 in case of dichotomously scored items for unidimensional IRT models. Monte Carlo experiments were conducted to analyze the performance of χw2 . Type I error of χw2  was acceptably close to the nominal level and it had greater power than Orlando and Thissen's S-x2 . Under some conditions, power of χw2 also exceeded the one reported for the computationally more demanding Stone's χ2∗ .

SUBMITTER: Kondratek B 

PROVIDER: S-EPMC9382089 | biostudies-literature | 2022 Sep

REPOSITORIES: biostudies-literature

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Item-Fit Statistic Based on Posterior Probabilities of Membership in Ability Groups.

Kondratek Bartosz B  

Applied psychological measurement 20220620 6


A novel approach to item-fit analysis based on an asymptotic test is proposed. The new test statistic, χ w 2 , compares pseudo-observed and expected item mean scores over a set of ability bins. The item mean scores are computed as weighted means with weights based on test-takers' <i>a posteriori</i> density of ability within the bin. This article explores the properties of χ w 2 in case of dichotomously scored items for unidimensional IRT models. Monte Carlo experiments were conducted to a  ...[more]

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