Abstract
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 non parametric 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 supe rior to the other two, because it has a smaller bias and a smaller sampling variance. This method also demon strated some robustness under violation of the condi tion of nonintersecting item response functions.
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