I: The Dichotomous Rasch Model. - 1. Some Background for Item Response Theory and the Rasch Model. - 2. Derivations of the Rasch Model. - 3. Estimation of Item Parameters. - 4. On Person Parameter Estimation in the Dichotomous Rasch Model. - 5. Testing the Rasch Model. - 6. The Assessment of Person Fit. - 7. Test Construction from Item Banks. - II: Extensions of the Dichotomous Rasch Model. - 8. The Linear Logistic Test Model. - 9. Linear Logistic Models for Change. - 10. Dynamic Generalizations of the Rasch Model. - 11. Linear and Repeated Measures Models for the Person Parameters. - 12. The One Parameter Logistic Model. - 13. Linear Logistic Latent Class Analysis and the Rasch Model. - 14. Mixture Distribution Rasch Models. - III: Polytomous Rasch Models and their Extensions. - 15. Polytomous Rasch Models and their Estimation. - 16. The Derivation of Polytomous Rasch Models. - 17. The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models. - 18. Tests of Fit for Polytomous Rasch Models. - 19. Extended Rating Scale and Partial Credit Models for Assessing Change. - 20. Polytomous Mixed Rasch Models. - In Retrospect. - 21. What Georg Rasch Would Have Thought about this Book. - References. - Author Index. - Abbreviations. Language: English