The chi-square significance test for NC-DIF is overly sensitive at large sample sizes, requiring an empirical cutoff value¶
Claim · All claims
Evidence · 1 study · causalr2·q2
Currency · newest study 1996 · not yet checked against its sources · not reviewed by a person · overdue for a recheck since 1999: tool and model accuracy changes quickly
Evidence quality · No study behind this claim is a peer-reviewed article with a DOI: it rests on an ERIC document (a report, conference paper or thesis). It is kept because a design page cites it; treat it as a lead to check, not an established finding.
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q2 i? The chi-square test for NC-DIF was shown to be overly sensitive for large sample sizes, so an empirically established critical value (.016, the 99th percentile of 2,000 DIF-free items) was used instead. → Flowers 1996
Evidence¶
Flowers 1996¶
Flowers, C. P., Oshima, C., & Raju, N. (1996). A Description and Demonstration of the Polytomous-DFIT Framework. https://eric.ed.gov/?id=ED401319
q2 · i? · causal · r2
The article attributes the sensitivity finding to Fleer (1993). In this study, 2,000 DIF-free items were simulated and the alternative cutoff was set at the 99th percentile, "resulted in an alternativecutoff value of .016," applied to all DIF indices to protect against Type I error.
"This test was shownto be overly sensitivefor large sample sizes (Fleer, 1993).Fleer suggested empiricallyestablishing a critical (cutoff)value for NC-DIF."
Discussion¶
Related Claims¶
- The ICC and LDF methods identify substantially different sets of items as exhibiting DIF on a state science performance assessment — the general claim this finding bears on, with the studies behind it
- Grade cutoffs are arbitrary because adjacent scores receiving different grades are not significantly different, per the author's statistical argument — related
- Item discrimination moderates detection differently by index: NCDIF benefits from high a-parameters only at large DIF magnitude — related
- Lord's chi-square identified more DIF items than Raju's unsigned area in the without-purification condition — related
- C-DIF was less stable than NC-DIF across simulated conditions — related
- The polytomous-DFIT framework effectively identified DTF and DIF in polytomously scored data under the simulated conditions — related
- Raters differed significantly in severity/leniency in the MFRM analysis — related
- Test length, focal group distribution, number of DIF items, and direction of DIF had little effect on detection rates — related
- Item purification made both DIF methods more sensitive, flagging more items — related
Page metadata
| Field | Value |
|---|---|
type |
claim |
id |
nc-dif-chi-square-overly-sensitive-large-samples |
title |
The chi-square significance test for NC-DIF is overly sensitive at large sample sizes, requiring an empirical cutoff value |
description |
The chi-square significance test for NC-DIF is overly sensitive at large sample sizes, requiring an empirical cutoff value |
status |
review |
evidence_strength |
weak |
newest_evidence |
1996 |
recheck_by |
1999 |
generated |
by process:wiki-ingest on 2026-09-26 |
trust |
unverified — no one has confirmed this page's content |
sources |
1 — flowers-1996 |
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