The use of item-ability regressions (the comparison
of the regression of the observed proportion of people
answering an item correctly on estimated &thetas; with the
estimated item response function) to investigate the
psychometric properties of particular item types in a
given population was explored using data from four
administrations of 10 item types (a total of 806 items)
from the Graduate Record Examinations General Test.
Although the method does not allow an absolute determination
of fit for a latent trait model (in this case, for
the three-parameter logistic model), it does show that
certain item types consistently fit the model worse
than other item types, and it led to and supported a
specific hypothesis as to why the model probably did
not fit these item types.
Kingston, Neal M & Dorans, Neil J. (1985). The analysis of item-ability regr essions: An exploratory IRT model fit tool. Applied Psychological Measurement, 9, 281-288. doi:10.1177/014662168500900306
Kingston, Neal M.; Dorans, Neil J..
The analysis of item-ability regr essions: An exploratory IRT model fit tool.
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