Stochastic Ordering Using the Latent Trait and the Sum Score in Polytomous IRT Models.

Hemker, Bas T.; Sijtsma, Klaas; Molenaar, Ivo W.; Junker, Brian W.

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Peer reviewed

ERIC Number: EJ553116

Record Type: Journal

Publication Date: 1997

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ISSN: ISSN-0033-3123

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Stochastic Ordering Using the Latent Trait and the Sum Score in Polytomous IRT Models.

Hemker, Bas T.; Sijtsma, Klaas; Molenaar, Ivo W.; Junker, Brian W.

Psychometrika, v62 n3 p331-47 Sep 1997

Stochastic ordering properties are investigated for a broad class of item response theory (IRT) models for which the monotone likelihood ratio does not hold. A taxonomy is given for nonparametric and parametric models for polytomous models based on the hierarchical relationship between the models. (SLD)

Descriptors: Item Response Theory, Mathematical Models, Nonparametric Statistics

Publication Type: Journal Articles; Reports - Evaluative

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Audience: N/A

Language: English

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