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| Hemker, Bas T. | 4 |
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Peer reviewedHemker, Bas T.; Sijtsma, Klaas; Molenaar, Ivo W.; Junker, Brian W. – Psychometrika, 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
Peer reviewedHemker, Bas T.; And Others – Psychometrika, 1996
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)
Descriptors: Equations (Mathematics), Item Response Theory, Nonparametric Statistics, Scores
Nonparametric Polytomous IRT Models for Invariant Item Ordering, with Results for Parametric Models.
Peer reviewedSijtsma, Klaas; Hemker, Bas T. – Psychometrika, 1998
The absence of the invariant item ordering (IIO) property in two nonparametric polytomous item response theory (IRT) models is discussed, and two nonparametric models are discussed that imply an IIO. Only two parametric polytomous IRT models are found to imply an IIO. A method is proposed to investigate whether an IIO is implied with empirical…
Descriptors: Item Response Theory, Models, Nonparametric Statistics, Test Items
Peer reviewedHemker, Bas T.; And Others – Applied Psychological Measurement, 1995
An automated item selection procedure for selecting unidimensional scales of polytomous items from multidimensional data sets is developed for use in the context of the item response theory model of monotone homogeneity of R. J. Mokken. The procedure is based on the selection procedure proposed by Mokken (1971). (SLD)
Descriptors: Item Banks, Item Response Theory, Nonparametric Statistics, Scaling
