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Nonparametric Item Response Theory Models [PDF]

, 2005
Klaas Sijtsma
exaly   +3 more sources

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Reliability of Test Scores in Nonparametric Item Response Theory

Psychometrika, 1987
Three methods for estimating reliability are studied within the context of nonparametric item response theory. Two were proposed originally by Mokken (1971) 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.
Klaas Sijtsma, Wouter Molenaar
exaly   +4 more sources

Assessing Goodness of Fit in Item Response Theory With Nonparametric Models

Educational and Psychological Measurement, 2011
The distance between nonparametric and parametric item characteristic curves has been proposed as an index of goodness of fit in item response theory in the form of a root integrated squared error index. This article proposes to use the posterior distribution of the latent trait as the nonparametric model and compares the performance of an index based ...
Francisco José Abad
exaly   +2 more sources

Introduction to Nonparametric Item Response Theory

2002
Sijtsma, K., Molenaar, W.
exaly   +4 more sources

Visualizing Uncertainty of Estimated Response Functions in Nonparametric Item Response Theory

Springer Proceedings in Mathematics and Statistics, 2013
Visual inspection of estimated response functions (RFs) is an important part of nonparametric item response theory (IRT) analysis. Currently, estimates of RFs are graphically displayed but the uncertainty of the estimated RFs is not. As a result, estimated RFs based on large samples may look exactly the same as estimated RFs based on very small samples.
L Andries van der Ark
exaly   +2 more sources

Thirty Years of Nonparametric Item Response Theory

Applied Psychological Measurement, 2001
Relationships between a mathematical measurement model and its real-world applications are discussed. A distinction is made between large data matrices commonly found in educational measurement and smaller matrices found in attitude and personality measurement.
openaire   +2 more sources