A method for investigating the intersection of item response functions in Mokken's nonparametric IRT model

Sijtsma, Klaas
Meijer, Rob R.
1992
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A method for investigating the intersection of item response functions in Mokken's nonparametric IRT model

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1992

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For 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.

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Applied Psychological Measurement, Volume 16, 1992

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Sijtsma, 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:10.1177/014662169201600204

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Sijtsma, Klaas; Meijer, Rob R.. (1992). A method for investigating the intersection of item response functions in Mokken's nonparametric IRT model. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/115642.

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