MIMIC methods for assessing differential item functioning in polytomous items

Wen Chung WANG, Ching Lin SHIH

Research output: Contribution to journalArticlespeer-review

27 Citations (Scopus)

Abstract

Three multiple indicators—multiple causes (MIMIC) methods, namely, the standard MIMIC method (M-ST), the MIMIC method with scale purification (M-SP), and the MIMIC method with a pure anchor (M-PA), were developed to assess differential item functioning (DIF) in polytomous items. In a series of simulations, it appeared that all three methods yielded a well-controlled Type I error rate when tests did not contain any DIF items. M-ST and M-SP began to yield an inflated Type I error rate and a deflated power when tests contained 10% and 20% DIF items, respectively. M-PA maintained an expected Type I error rate and a high power even when tests contained as many as 40% DIF items. An iterative MIMIC procedure was proposed to select a small set of DIF-free items to serve as the anchor in M-PA. It was found in a series of simulations that this procedure yielded a very high rate of accuracy. Two simulated data sets were then analyzed to show applications of these MIMIC methods for DIF assessment in polytomous items. Copyright © 2010 The Author(s).
Original languageEnglish
Pages (from-to)166-180
JournalApplied Psychological Measurement
Volume34
Issue number3
DOIs
Publication statusPublished - May 2010

Citation

Wang, W.-C., & Shih, C.-L. (2010). MIMIC methods for assessing differential item functioning in polytomous items. Applied Psychological Measurement, 34(3), 166-180.

Keywords

  • Differential item functioning
  • MIMIC
  • Scale purification
  • Item response theory
  • Rasch measurement

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