Although the belief has been expressed that performance assessments ar
e intrinsically more fair than multiple-choice measures, some forms of
performance assessment may in fact be more likely than conventional t
ests to tap construct-irrelevant factors. The assessment of differenti
al item functioning (DIF) can be helpful in investigating the effect o
n subpopulations of the introduction of performance tasks. In this stu
dy, two extensions of the Manter-Haenszel (MH; 1959) procedure that ma
y be useful in assessing DIF in performance measures were explored. Th
e test of conditional association proposed by Mantel (1963) seems prom
ising as a test of DIF for polytomous items when the primary interest
is in the between-group difference in item means, conditional on some
measure of ability. The generalized statistic proposed by Mantel and H
aenszel may be more useful than Mantel's test when the entire response
distributions of the groups are of interest Simulation results showed
that, for both inferential procedures, the studied item should be inc
luded in the matching variable, as in the dichotomous case. Descriptiv
e statistics that index the magnitude of DIF were also investigated.