Hwanggyu Lim, Danqi Zhu, Edison M. Choe, KyungT. Han, Chris
<p>This study presents a generalized version of the residual differential item functioning (RDIF) detection framework in item response theory, named GRDIF, to analyze differential item functioning (DIF) in multiple groups. The GRDIF framework retains the advantages of the original RDIF framework, such as computational efficiency and ease of implementation. The performance of GRDIF was assessed through a simulation study and compared with existing DIF detection methods, including the generalized Mantel-Haenszel, Lasso-DIF, and alignment methods. Results showed that the GRDIF framework demonstrated well-controlled Type I error rates close to the nominal level of .05 and satisfactory power in detecting uniform, nonuniform, and mixed DIF across different simulated conditions. Each of the three GRDIF statistics, <span></span><math>