A new procedure for detection of crossing DIF


The purpose of this paper is to present a hypothesis testing and estimation procedure, Crossing SIBTEST, for detecting crossing DIF. Crossing DIF exists when the difference in the probabilities of a correct answer for the two examinee groups changes signs as ability level is varied. In item response theory terms, crossing DIF is indicated by two crossing item characteristic curves. Our new procedure, denoted as Crossing SIBTEST, first estimates the matching subtest score at which crossing occurs using least squares regression analysis. A Crossing SIBTEST statistic then is used to test the hypothesis of crossing DIF. The performance of Crossing SIBTEST is evaluated in this study.

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Correspondence to William Stout.

Additional information

This research was partially supported by a grant from the Law School Admission Council and by National Science Foundation Mathematics Grant NSF-DMS-94-04327. The research reported here is collaborative in every respect and the order of authorship is alphabetical. The authors thank Jeff Douglas and Louis Roussos for their useful comments and discussions.

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Li, H., Stout, W. A new procedure for detection of crossing DIF. Psychometrika 61, 647–677 (1996). https://doi.org/10.1007/BF02294041

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Key words

  • DIF
  • bias
  • unidirectional DIF
  • crossing DIF
  • multidimensional IRT
  • randomization tests
  • Mantel-Haenszel
  • logistic regression procedure crossing