A procedure for the sequential optimization of the
calibration of an item bank is given. The procedure is
based on an empirical Bayesian approach to a reformulation
of the Rasch model as a model for paired
comparisons between the difficulties of test items in
which ties are allowed to occur. First, it is shown how
a paired-comparisons design deals with the usual incompleteness
of calibration data and how the item parameters
can be estimated using this design. Next, the
procedure for a sequential optimization of the item parameter
estimators is given, both for individuals responding
to pairs of items and for item and examinee
groups of any size. The paper concludes with a discussion
of the choice of the first priors in the procedure
and the problems involved in its generalization to
other item response models.
Van der Linden, Wim J & Eggen, Theo J. (1986). An empirical Bayesian approach to item banking. Applied Psychological Measurement, 10, 345-354. doi:10.1177/014662168601000403
Van der Linden, Wim J.; Eggen, Theo J. H. M..
An empirical Bayesian approach to item banking.
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