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Estimation (Mathematics)	1
Item Response Theory	1
Latent Trait Theory	1
Mathematical Models	1
Measurement Techniques	1
Monte Carlo Methods	1
Nonparametric Statistics	1
Scores	1
Statistical Bias	1
Statistical Distributions	1
Statistical Studies	1
Test Reliability	1
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Psychometrika

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Molenaar, Ivo W.	2
Sijtsma, Klaas	2
Hemker, Bas T.	1
Junker, Brian W.	1

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Journal Articles	2
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Reports - Research	1

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Reliability of Test Scores in Nonparametric Item Response Theory.

Peer reviewed

Sijtsma, Klaas; Molenaar, Ivo W. – Psychometrika, 1987

Three methods for estimating reliability are studied within the context of nonparametric item response theory. Two were proposed originally by Mokken and a third is developed in this paper. Using a Monte Carlo strategy, these three estimation methods are compared with four "classical" lower bounds to reliability. (Author/JAZ)

Descriptors: Estimation (Mathematics), Latent Trait Theory, Measurement Techniques, Monte Carlo Methods

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

Peer reviewed

Hemker, 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