The Mantel-Haenszel (MH) procedure is sensitive
to only one type of differential item functioning
(DIF). It is not designed to detect DIF that has a nonuniform
effect across trait levels. By generalizing
the model underlying the MH procedure, a more
general DIF detection procedure has been developed
(Swaminathan & Rogers, 1990). This study compared
the performance of this procedure-the logistic
regression (LR) procedure-to that of the MH
procedure in the detection of uniform and nonuniform
DIF in a simulation study which examined
the distributional properties of the LR and MH test
statistics and the relative power of the two procedures.
For both the LR and MH test statistics, the
expected distributions were obtained under nearly
all conditions. The LR test statistic did not have
the expected distribution for very difficult and
highly discriminating items. The LR procedure was
found to be more powerful than the MH procedure
for detecting nonuniform DIF and as powerful in
detecting uniform DIF. Index terms: differential
item functioning, logistic regression, Mantel-Haenszel
statistic, nonuniform DIF, uniform DIF.
Rogers, H. Jane & Swaminathan, Hariharan. (1993). A comparison of logistic regression and Mantel-Haenszel procedures for detecting differential item functioning. Applied Psychological Measurement, 17, 105-116. doi:10.1177/014662169301700201
Rogers, H. Jane; Swaminathan, Hariharan.
A comparison of logistic regression and Mantel-Haenszel procedures for detecting differential item functioning.
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