The area between two item response functions
is often used as a measure of differential item
functioning under item response theory. This area
can be measured over either an open interval (i.e., exact)
or closed interval. Formulas are presented for computing
the closed-interval signed and unsigned
areas. Exact and closed-interval measures were
estimated on data from a test with embedded items
intentionally constructed to favor one group over
another. No real differences in detection of these
items were found between exact and closed-interval
methods. Index terms: BILOG, closed interval,
differential item functioning, item response functions,
open interval, signed area, unsigned area.
Kim, Seock-ho & Cohen, Allan S. (1991). A comparison of two area measures for detecting differential item functioning. Applied Psychological Measurement, 15, 269-278. doi:10.1177/014662169101500307
Kim, Seock-ho; Cohen, Allan S..
A comparison of two area measures for detecting differential item functioning.
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