The Rasch Model as a Loglinear Model

Abstract

The Rasch model is formulated as a loglinear model. The goodness of fit and parameter estimates of the Rasch model can be obtained using the itera tive proportional fitting algorithm for loglinear models. It is shown in an example that the relation between the estimates of the iterative proportional fitting algorithm and the unconditional maximum likelihood Rasch algorithm are almost perfectly lin ear. The Rasch model can be extended with a de sign for the items, which can be formulated as a loglinear model.