Item reliability is of special interest for Mokken’s
nonparametric item response theory, and is useful for
the evaluation of item quality in nonparametric test
construction research. It is also of interest for nonparametric
person-fit analysis. Three methods for the
estimation of the reliability of single dichotomous
items are discussed. All methods are based on the
assumptions of nondecreasing and nonintersecting item
response functions. Based on analytical and monte
carlo studies, it is concluded that one method is superior
to the other two, because it has a smaller bias and
a smaller sampling variance. This method also demonstrated
some robustness under violation of the condition
of nonintersecting item response functions.
Index terms: item reliability, item response theory,
Mokken model, nonparametric item response models,
Meijer, Rob R, Sijtsma, Klaas & Molenaar, Ivo W. (1995). Reliability estimation for single dichotomous items based on Mokken's IRT model. Applied Psychological Measurement, 19, 323-335. doi:10.1177/014662169501900402
Meijer, Rob R.; Sijtsma, Klaas; Molenaar, Ivo W..
Reliability estimation for single dichotomous items based on Mokken's IRT model.
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