Short Guide to Item Response Theory Models

Gerhard Tutz is Professor Emeritus at the Department of Statistics, LMU Munich, Germany. His research interests include multivariate statistics, item response theory and categorical data analysis.

• Preface.- Introduction.- The Binary Rasch Model.- Extensions of the Rasch Model and Alternative Binary Models.- Ordinal Models.- Extended Ordinal Models Accounting for Response Styles.- The Thresholds Model a Common Framework for Discrete and Continuous Responses.- Classical Test Theory.- Response Models for Count Data.- Tree-Based Item Response Models.-  Differential Item Functioning.- Explanatory Item Response Models.- R Packages.- Examples.- Bibliography.