Asymptotic sampling distributions (means and variances)
of estimated signed and unsigned areas between
two item response functions (IRFS) are presented for
the Rasch model, the two-parameter model, and the
three-parameter model with fixed lower asymptotes. In
item bias or differential item functioning research, it
may be of interest to determine whether the estimated
signed and unsigned areas between IRFS calibrated
with two different groups are significantly different
from 0. The usefulness of these sampling distributions
in this context is discussed and illustrated. More empirical
research with the proposed significance tests is
necessary. Index terms: asymptotic mean and variance,
differential item functioning, item bias, item response
functions, item response theory.
Raju, Nambury S. (1990). Determining the significance of estimated signed and unsigned areas between two item response functions. Applied Psychological Measurement, 14, 197-207. doi:10.1177/014662169001400208
Raju, Nambury S..
Determining the significance of estimated signed and unsigned areas between two item response functions.
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