Likelihood Ratio Tests for Special Rasch Models

In this article, a general class of special Rasch models for dichotomous item scores is considered. Although Andersen's likelihood ratio test can be used to test whether a Rasch model fits to the data, the test does not differentiate between special Rasch models. Therefore, in this article, new likelihood ratio tests are proposed for testing special Rasch models. The tests proposed do not require individual response pattern frequencies and are useful in practice when the observed total score frequencies are sufficiently large.