Linking Multidimensional Item Calibrations

Abstract
Invariance of trait scales across changing samples of items and examinees is a central tenet of item re sponse theory (IRT). However, scales defined by most IRT models are truly invariant with respect to certain linear transformations of the parameters. The problem is to find the proper transformation that places separate calibrations on a common scale. A variety of proce dures for estimating transformations have been pro posed for unidimensional models. This paper explores some issues involved in extending and adapting unidi mensional linking procedures for use with multidimen sional IRT models.

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