Multivariate and Mixture Distribution Rasch Models

Extensions and Applications

By: Matthias von Davier, Claus H. Carstensen

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Hardcover | 29 December 2006

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This volume gathers together a set of extensions of the Rasch model, one of the most prominent models for measurement in educational research and - cial science developed by Danish mathematician Georg Rasch. The idea for this volume emerged during a meeting of the Psychometric Society in M- terey, CA. At that meeting, friends and colleagues discussed news about the impending retirement of Dr. Jurgen ? Rost, an important innovator and m- tor in this ?eld. To recognize Jurgen's ? contributions, we decided to produce a collection of research on extending the Rasch model as well as embedding the Rasch model in more complex statistical models, an area that is receiving broad interest in many ?elds of social sciences at the current time. This collection contains 22 chapters by recognized international experts in the?eld.Thecontributionscovertopicsrangingfromgeneralmodelextensions to application in ?elds as diverse as cognition, personality, organizational and sports psychology, and health sciences and education. The Rasch model is designed for categorical data, often collected as ex- inees' responses to multiple tasks such as cognitive items from psychological tests or from educational assessments. The Rasch model's elegant mathema- cal form is suitable for extensions that allow for greater ?exibility in handling complex samples of examinees and collections of tasks from di?erent domains. In these extensions, the Rasch model is enhanced by additional structural - ements that account either for di?erences between diverse populations or for di?erences among observed variables.

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"This is a collection of 22 chapters on research and development work on various extensions of the Rasch model. ... The single chapters are written by internationally recognized experts in the fields. ... Since the volume reflects the recent developments in the field it will be certainly a useful source up to date information. It will be certainly useful to the people working in educational research and social sciences." (Marie Huskova, Zentralblatt MATH, Vol. 1117 (19), 2007)

"This book, published in honor of the retirement of Juergen Rost, is an edited volume of 22 invited chapters written by eminent researchers in the field of item response theory (IRT). The chapters are relatively accessible for a reader with a background in IRT and describe interesting and useful extensions to the familiar unidimensional Rasch measurement model (RM) to more complex multidimensional measurement and statistical models." (Allan S. Cohen, Journal of the American Statistical Association, Vol. 103 (481), 2008)

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Non-Fiction Mathematics Probability & Statistics Sociology & Anthropology Sociology Social Research & Statistics Medicine Nursing & Ancillary Services Nursing Nursing Specialities Terminal Care Nursing Social Theory

Education Psychology Psychological Methodology Psychological Testing & Measurement Medicine in General Public Health & Preventive Medicine Personal & Public Health / Health Education

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Published: 23rd November 2010

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Preface	p. V
List of Contributors	p. VII
Introduction: Extending the Rasch Model	p. 1
Multivariate and Mixture Rasch Models
Measurement Models as Narrative Structures	p. 15
Testing Generalized Rasch Models	p. 37
The Mixed-Coefficients Multinomial Logit Model: A Generalized Form of the Rasch Model	p. 57
Loglinear Multivariate and Mixture Rasch Models	p. 77
Mixture-Distribution and Hybrid Rasch Models	p. 99
Generalized Models-Specific Research Questions
Application of the Saltus Model to Stagelike Data: Some Applications and Current Developments	p. 119
Determination of Diagnostic Cut-Points Using Stochastically Ordered Mixed Rasch Models	p. 131
A Hybrid Model for Test Speededness	p. 147
Multidimensional Three-Mode Rasch Models	p. 157
(Almost) Equivalence Between Conditional and Mixture Maximum Likelihood Estimates for Some Models of the Rasch Type	p. 177
Rasch Models for Longitudinal Data	p. 191
The Interaction Model	p. 201
Multilevel Rasch Models	p. 217
Applications of Multivariate and Mixed Rasch Models
Mixed Rasch Models for Measurement in Cognitive Psychology	p. 235
Detecting Response Styles and Faking in Personality and Organizational Assessments by Mixed Rasch Models	p. 255
Application of Multivariate Rasch Models in International Large-Scale Educational Assessments	p. 271
Studying Development via Item Response Models: A Wide Range of Potential Uses	p. 281
A Comparison of the Rasch Model and Constrained Item Response Theory Models for Pertinent Psychological Test Data	p. 293
Latent-Response Rasch Models for Strategy Shifts in Problem-Solving Processes	p. 311
Validity and Objectivity in Health-Related Scales: Analysis by Graphical Loglinear Rasch Models	p. 329
Applications of Generalized Rasch Models in the Sport, Exercise, and the Motor Domains	p. 347
References	p. 357
Author Index	p. 391
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Multivariate and Mixture Distribution Rasch Models

Extensions and Applications

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Hardcover

Industry Reviews

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You Can Find This Book In

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