#5130. Detecting DIF in Multidimensional Forced Choice Measures Using the Thurstonian Item Response Theory Model

July 2026publication date
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Management of Technology and Innovation;
Strategy and Management;
Decision Sciences (all);
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Abstract:
Although modern item response theory (IRT) methods of test construction and scoring have overcome ipsativity problems historically associated with multidimensional forced choice (MFC) formats, there has been little research on MFC differential item functioning (DIF) detection, where item refers to a block, or group, of statements presented for an examinee’s consideration. This research investigated DIF detection with three-alternative MFC items based on the Thurstonian IRT (TIRT) model, using omnibus Wald tests on loadings and thresholds. Results indicated the free baseline strategy was highly effective in detecting DIF, with power approaching 1.0 in the large sample size and large magnitude of DIF conditions, and similar effectiveness in the impact and no-impact conditions. This research also included an empirical example to demonstrate the viability of the best performing method with real examinees and showed how a DIF and a DTF (Differential test functioning) effect size measure can be used to assess the practical significance of MFC DIF findings.
Keywords:
Differential item functioning; measurement invariance; Monte Carlo simulation; multidimensional forced choice measures; noncognitive testing; Thurstonian item response theory

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