THE DUTCH IDENTITY: A NEW TOOL FOR THE STUDY OF ITEM RESPONSE THEORY MODELS

ABSTRACT The Dutch Identity is a useful way to reexpress the basic equations of item response theory (IRT) that relate the manifest probabilities to the item response functions (IRFs) and the latent trait distribution. The identity may be exploited in several ways. For example: (a) to show how IRT models behave for large numbers of items – they are submodels of second‐order log‐linear models for 2 J tables; (b) to suggest new ways to assess the dimensionality of IRT models – factor analysis of matrices composed of second‐order interactions from log‐linear models; (c) to give insight into the s... Mehr ...