The person response curve has been suggested as a
possible model for test score inappropriateness (Lumsden,
1977, 1978; Weiss, 1973). The two-parameter
person response curve proposed by Lumsden includes
a person slope parameter but abandons the notion of
differential item relatedness to the underlying trait. As
an alternative, a generalized logistic model is considered
that includes all item parameters of the three-parameter
logistic model (Birnbaum, 1968). In addition
to the usual person location parameter, the model
has extra person parameters representing two possible
characterizations of test score inappropriateness: a
slope parameter indicating the degree to which a person
responds differently to items of varying difficulty,
and an asymptote parameter measuring a person’s proclivity
to engage in effective guessing or to omit items
in the presence of partial information. To assess the
model’s feasibility, statistical comparisons were made
between parameter estimates from data simulated according
to the model and the original simulation
parameters. The results seem encouraging, but additional
empirical study is needed before firm conclusions
can be drawn.
Strandmark, Nancy L & Linn, Robert L. (1987). A generalized logistic item response model parameterizing test score inappropriateness. Applied Psychological Measurement, 11, 355-370. doi:10.1177/014662168701100402
Strandmark, Nancy L.; Linn, Robert L..
A generalized logistic item response model parameterizing test score inappropriateness.
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