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