Erroneous detection of nonuniform DIF using the Breslow-Day test in a short test

• Published in: Quality & quantity Vol. 43; no. 1; pp. 35 - 44
• Main Authors: Aguerri, María Ester, Galibert, María Silvia, Attorresi, Horacio Félix, Prieto Marañón, Pedro
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 2009; Springer; Springer Nature B.V
• Subjects: Binomial distribution; Contingency tables; Econometric models; History, theory and methodology; Item response theory; Logistics; Methodology; Methodology (Data Analysis); Methodology of the Social Sciences; Original Paper; Quantitative psychology; Regression analysis; Social Science Research; Social Sciences; Sociology; Logistic regression; Mantel–Haenszel procedure; Nonuniform differential item functioning; Three parameter logistic model; Breslow-Day test; Regression Analysis; Mantel-Haenszel procedure; Methodology

This paper studies the Type I error rate obtained using the Breslow-Day (BD) test to detect Nonuniform Differential Item Functioning (NUDIF) in a short test when the average ability of one group is significantly higher than that of the other. The performance is compared with the logistic regression...