Multivariate and Mixture Distribution Rasch Models (eBook)

Preface 6
List of Contributors 8
Contents 11
1 Introduction: Extending the Rasch Model 14
Multivariate and Mixture Rasch Models 26
2 Measurement Models as Narrative Structures 27
3 Testing Generalized Rasch Models 48
4 The Mixed-Coefficients Multinomial Logit Model: A Generalized Form of the Rasch Model 67
5 Loglinear Multivariate and Mixture Rasch Models 86
6 Mixture-Distribution and HYBRID Rasch Models 107
Generalized Models—Specific Research Questions 124
7 Application of the Saltus Model to Stagelike Data: Some Applications and Current Developments 125
8 Determination of Diagnostic Cut-Points Using Stochastically Ordered Mixed Rasch Models 137
9 A HYBRID Model for Test Speededness 153
10 Multidimensional Three-Mode Rasch Models 163
11 ( Almost) Equivalence Between Conditional and Mixture Maximum Likelihood Estimates for Some Models of the Rasch Type 182
12 Rasch Models for Longitudinal Data 195
13 The Interaction Model 204
14 Multilevel Rasch Models 220
Applications of Multivariate and Mixed Rasch Models 236
15 Mixed Rasch Models for Measurement in Cognitive Psychology 237
16 Detecting Response Styles and Faking in Personality and Organizational Assessments by Mixed Rasch Models 256
17 Application of Multivariate Rasch Models in International Large- Scale Educational Assessments 272
18 Studying Development via Item Response Models: A Wide Range of Potential Uses 282
19 A Comparison of the Rasch Model and Constrained Item Response Theory Models for Pertinent Psychological Test Data 294
20 Latent-Response Rasch Models for Strategy Shifts in Problem- Solving Processes 311
21 Validity and Objectivity in Health-Related Scales: Analysis by Graphical Loglinear Rasch Models 329
22 Applications of Generalized Rasch Models in the Sport, Exercise, and the Motor Domains 347
References 357
Author Index 391