Statistical tests for differential test functioning in Rasch's model for speed tests

We consider a latent trait model developed by Rasch for the response time on a set of pure speed tests, which is based on the assumption that the test response times are approximately gamma distributed with known index parameters and scale parameters depending on subject ability and test difficulty parameters. In this chapter, the principle of Lagrange multiplier tests is used to evaluate differential test functioning and subgroup invariance of the test parameters. Two numerical illustrations are given.

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