Sijtsma, KlaasMeijer, Rob R.2011-09-192011-09-191992Sijtsma, Klaas & Meijer, Rob R. (1992). A method for investigating the intersection of item response functions in Mokken's nonparametric IRT model. Applied Psychological Measurement, 16, 149-157. doi:10.1177/014662169201600204doi:10.1177/014662169201600204https://hdl.handle.net/11299/115642For a set of k items having nonintersecting item response functions (IRFs), the H coefficient (Loevinger, 1948; Mokken, 1971) applied to a transposed persons by items binary matrix Hт has a non-negative value. Based on this result, a method is proposed for using Hт to investigate whether a set of IRFs intersect. Results from a monte carlo study support the proposed use of Hт. These results support the use of Hт as an extension to Mokken’s nonparametric item response theory approach. Index terms: double monotonicity, Hт coefficient, intersection of item response functions, item response theory, Mokken models, nonparametric models.enArticle