Exact and Permutation-Based Mantel Tests for Differential Item Functioning in Dichotomous and Polytomous Items R package exactGMH version 0.1.0 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. Software Depends: R (>= 4.0) Imports: stats Suggests: testthat (>= 3.0.0), shiny Tri Zahra Ningsih <trizahra10019@gmail.com> Comprehensive R Archive Network (CRAN) Tri Zahra Ningsih [aut, cre], Aman [aut], Ahmad Nasrulloh [aut], Hera Hastuti [aut], Suci Kurnia Putri [aut] MIT + file LICENSE (https://CRAN.R-project.org/package=exactGMH/LICENSE) 2026-08-09 application/tgz https://CRAN.R-project.org/package=exactGMH doi:10.32614/CRAN.package.exactGMH