Polytomous IRT Models and Monotone Likelihood Ratio of the Total Score

It is demonstrated that for polytomous items the monotone likelihood ratio (MLR) holds for the partial credit model. MLR does not necessarily hold if the slopes of the item response functions vary over items or item steps. MLR also does not hold for the graded response model. (Author/SLD)

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Veröffentlicht in:Psychometrika 1996-12, Vol.61 (4), p.679-693
1. Verfasser: Hemker, Bas T
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description It is demonstrated that for polytomous items the monotone likelihood ratio (MLR) holds for the partial credit model. MLR does not necessarily hold if the slopes of the item response functions vary over items or item steps. MLR also does not hold for the graded response model. (Author/SLD)
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identifier ISSN: 0033-3123
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source SpringerLink Journals; Periodicals Index Online
subjects Equations (Mathematics)
Graded Response Model
Item Response Theory
Likelihood Ratio Tests
Monotonic Relationships
Nonparametric Statistics
Partial Credit Model
Polytomous Items
Scores
title Polytomous IRT Models and Monotone Likelihood Ratio of the Total Score
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