Essays on Item Response Theory

Front Matter....Pages N1-xv
Front Matter....Pages 1-1
The Life of Georg Rasch as a Mathematician and as a Statistician....Pages 3-24
The Growing Family of Rasch Models....Pages 25-42
Gain Scores Revisited Under an IRT Perspective....Pages 43-68
Modeling Learning in Short-Term Learning Tests....Pages 69-87
An IRT Model for Multiple Raters....Pages 89-108
Conditional Independence and Differential Item Functioning in the Two-Parameter Logistic Model....Pages 109-129
Differential Item Functioning Depending on General Covariates....Pages 131-148
Statistical Tests for Differential Test Functioning in Rasch’s Model for Speed Tests....Pages 149-162
Expected Response Functions....Pages 163-171
A Logistic IRT Model for Decreasing and Increasing Item Characteristic Curves....Pages 173-192
Using Parameter Expansion to Improve the Performance of the EM Algorithm for Multidimensional IRT Population-Survey Models....Pages 193-204
Cross-Validating Item Parameter Estimation in Adaptive Testing....Pages 205-219
Imputation of Missing Scale Data with Item Response Models....Pages 221-244
Front Matter....Pages 245-245
On the Interplay Between Nonparametric and Parametric IRT, with Some Thoughts About the Future....Pages 247-276
Reversibility Revisited and Other Comparisons of Three Types of Polytomous IRT Models....Pages 277-296
Progress in NIRT Analysis of Polytomous Item Scores: Dilemmas and Practical Solutions....Pages 297-318
Two-Level Nonparametric Scaling for Dichotomous Data....Pages 319-338
The Circles of Our Minds: A Nonparametric IRT Model for the Circumplex....Pages 339-356
Using Resampling Methods to Produce an Improved DIMTEST Procedure....Pages 357-375
Person Fit Across Subgroups: An Achievement Testing Example....Pages 377-390
Front Matter....Pages 245-245
Single-Peaked or Monotone Tracelines? On the Choice of an IRT Model for Scaling Data....Pages 391-414
Outline of a Faceted Theory of Item Response Data....Pages 415-432
Back Matter....Pages 433-441