Handbook of Modern Item Response Theory 1. Item Response Theory: Brief History Common Models and Extensions 2. The Nominal Categories Model 3. A Response Model for Multiple Choice Items 4. The Rating Scale Model 5. Graded Response Model 6. The Partial Credit Model 7. A Steps Model to Analyze Partial Credit 8. Sequential Models for Ordered Responses 9. A Generalized Partial Credit Model 10. A Logistic Model for Time Limit Tests 11. Models for Speed and Time Limit Tests 12. Multiple Attempt Single Item Response Models 13. Unidimensional Linear Logistic Rasch Models 14. Response Models with Manifest Predictors 15. Normal Ogive Multidimensional Model 16. A Linear Logistic Multidimensional Model for Dichotomous Item Response Data 17. Loglinear Multidimensional Item Response Model for Polytomously Scored Items 18. Multicomponent Response Models 19. Multidimensional Linear Logistic Models for Change 20. Nonparametric Models for Dichotomous Responses 21. Nonparametric Models for Polytomous Responses 22. A Functional Approach to Modeling Test Data 23. An Hyperbolic Cosine IRT Model for Unfolding Direct Responses of Persons to Items 24. PARELLA: An IRT Model for Parallelogram Analysis 25. Multiple Group IRT 26. Logistic Mixture Models 27. Models for Locally Dependent Responses: Conjunctive Item Response Theory 28. Mismatch Models for Test Formats that Permit Partial Information To Be Shown Author Index. Item response theory has become an essential component in the toolkit of every researcher in the behavioral sciences. It provides a powerful means to study individual responses to a variety of stimuli and the methodology has been extended and developed to cover many different models of interaction. This volume presents a wide ranging handbook to item response theory and its applications to educational and psychological testing. It will serve as both an introduction to the subject and also as a comprehensive reference volume for practitioners and researchers. It is organized into six major sections: the nominal categories model models for response time or multiple attempts on items models for multiple abilities or cognitive components nonparametric models models for nonmonotone items and models with special assumptions. Each chapter in the book has been written by an expert of that particular topic and the chapters have been carefully edited to ensure that a uniform style of notation and presentation is used throughout. As a result all researchers whose work uses item response theory will find this an indispensable companion to their work and it will be the subjects reference volume for many years to come.