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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.
| Version: | 0.1.0 |
| Depends: | R (≥ 4.0) |
| Imports: | stats |
| Suggests: | testthat (≥ 3.0.0), shiny |
| Published: | 2026-08-09 |
| DOI: | 10.32614/CRAN.package.exactGMH (may not be active yet) |
| Author: | Tri Zahra Ningsih [aut, cre], Aman [aut], Ahmad Nasrulloh [aut], Hera Hastuti [aut], Suci Kurnia Putri [aut] |
| Maintainer: | Tri Zahra Ningsih <trizahra10019 at gmail.com> |
| BugReports: | https://github.com/exactGMH-project/exactGMH/issues |
| License: | MIT + file LICENSE |
| URL: | https://github.com/exactGMH-project/exactGMH |
| NeedsCompilation: | no |
| CRAN checks: | exactGMH results |
| Reference manual: | exactGMH.html , exactGMH.pdf |
| Package source: | exactGMH_0.1.0.tar.gz |
| Windows binaries: | r-devel: not available, r-release: not available, r-oldrel: exactGMH_0.1.0.zip |
| macOS binaries: | r-release (arm64): exactGMH_0.1.0.tgz, r-oldrel (arm64): exactGMH_0.1.0.tgz, r-release (x86_64): exactGMH_0.1.0.tgz, r-oldrel (x86_64): exactGMH_0.1.0.tgz |
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