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Contents for Statistical Tools Contents for Applications Preface Contributors 1. Introduction Wire J. van der Linden Section ¢ñ Dichotomous Models 2. Unidimensional Logistic Response Models Wire J. van der Linden 3. Rasch Model Matthias von Davier Section ¢ò Nominal and Ordinal Models 4. Nominal Categories Models David Thissen and Li Cai 5. Rasch Rating-Scale Model David Andrich 6. Graded Response Models Fumiko Samejima 7. Partial Credit Model Geoff N. Masters 8. Generalized Partial Credit Model Eiji Muraki and Mari Muraki 9. Sequential Models for Ordered Responses Gerhard Tutz 10. Models for Continuous Responses Gideon J. Mellenbergh Section ¢ó Multidimensional and Multicomponent Models 11. Normal-Ogive Multidimensional Models Hariharan Swaminathan and H. Jane Rogers 12. Logistic Multidimensional Models Mark D. Reckase 13. Linear Logistic Models Rianne Janssen 14. Multicomponent Models Susan E. Embretson Section ¢ô Models for Response Times 15. Poisson and Gamma Models for Reading Speed and Error Margo G. H. Jansen 16. Lognormal Response-Time Model Wire J. van der Linden 17. Diffusion-Based Response-Time Models Francis Tuerlinckx, Dylan Molenaar, and Han L. J. van der Maas Section ¢õ Nonparametric Models 18. Mokken Models Klaas Sijtsma and Ivo W. Molenaar 19. Bayesian Nonparametric Response Models George Karabatsos 20. Functional Approaches to Modeling Response Data James O. Ramsay Section ¢ö Models for Nonmonotone Items