Inhaltsangabe1 A framework for item response models.- 2 Descriptive and explanatory item response models.- 3 Models for polytomous data.- 4 An Introduction to (Generalized (Non)Linear Mixed Models.- 5 Person regression models.- 6 Models with item and item group predictors.- 7 Person-by-item predictors.- 8 Multiple person dimensions and latent item predictors.- 9 Latent item predictors with fixed effects.- 10 Models for residual dependencies.- 11 Mixture Models.- 12 Estimation and software.- Afterword.