exactGMH: Exact and Permutation-Based Mantel Tests for Differential Item
Functioning in Dichotomous and Polytomous Items
Screens dichotomous and polytomous test items for
Differential Item Functioning (DIF) using an extension of the
Mantel (1963) <doi:10.1080/01621459.1963.10500879> and generalized
Mantel-Haenszel statistic, with statistical significance computed
via permutation rather than the conventional asymptotic
chi-square approximation. Following Hemerik and Goeman (2018)
<doi:10.1007/s11749-017-0571-1>, the permutation p-value is exact
at the nominal level rather than an approximation, even for a
finite number of permutations. This makes the test valid for
small samples (fewer than 200 examinees per group), a condition
common in classroom-, program-, and institution-level assessment
where existing exact-inference options in other software are
restricted to dichotomous items only. An optional
Benjamini-Hochberg or Bonferroni correction addresses multiple
comparisons when screening many items at once.
Documentation:
Downloads:
Linking:
Please use the canonical form
https://CRAN.R-project.org/package=exactGMH
to link to this page.