A Method for Investigating the Intersection of Item Response Functions in Mokken's Nonparametric IRT Model

1 June 1992

journal article
research article
Published by SAGE Publications in Applied Psychological Measurement

Vol. 16 (2), 149-157
https://doi.org/10.1177/014662169201600204

Abstract

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 H^T has a non-negative value. Based on this result, a method is proposed for using H^T to investigate whether a set of IRFS intersect. Results from a monte carlo study support the proposed use of H^T. These results support the use of H^T as an exten sion to Mokken's nonparametric item response theory approach.

Keywords

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