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Multivariate and Mixture Distribution Rasch Models

Extensions and Applications

  • Book
  • © 2007

Overview

Authors:
  1. Matthias Davier

    1. Educational Testing Service, Princeton, USA

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    You can also search for this author in PubMed   Google Scholar

  2. Claus H. Carstensen

    1. Leibniz-Institut für die Pädagogik der Naturwissenschaften (IPN), University of Kiel, Institute for Science Education, Kiel, Germany

    View author publications

    You can also search for this author in PubMed   Google Scholar

  • Collects research and development work on extensions of the Rasch model aiming at relaxing some fundamental constraints of the original model, more specifically, the item homogeneity assumption and the person homogeneity assumption
  • Includes supplementary material: sn.pub/extras

Part of the book series: Statistics for Social and Behavioral Sciences (SSBS)

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Table of contents (23 chapters)

  1. Front Matter

    Pages I-XVIII
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  2. Introduction: Extending the Rasch Model

    • Matthias von Davier, Jürgen Rost, Claus H. Carstensen
    Pages 1-12

  3. Multivariate and Mixture Rasch Models

    1. Front Matter

      Pages 13-13
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    2. Measurement Models as Narrative Structures

      • Robert Mislevy, Chun-Wei Huang
      Pages 15-35

    3. Testing Generalized Rasch Models

      • Cees A. W. Glas
      Pages 37-55

    4. The Mixed-Coefficients Multinomial Logit Model: A Generalized Form of the Rasch Model

      • Raymond J. Adams, Margaret L. Wu
      Pages 57-75

    5. Loglinear Multivariate and Mixture Rasch Models

      • Henk Kelderman
      Pages 77-97

    6. Mixture-Distribution and HYBRID Rasch Models

      • Matthias von Davier, Kentaro Yamamoto
      Pages 99-115

  4. Generalized Models—Specific Research Questions

    1. Front Matter

      Pages 117-117
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    2. Application of the Saltus Model to Stagelike Data: Some Applications and Current Developments

      • Karen Draney, Mark Wilson
      Pages 119-130

    3. Determination of Diagnostic Cut-Points Using Stochastically Ordered Mixed Rasch Models

      • Svend Kreiner
      Pages 131-146

    4. A HYBRID Model for Test Speededness

      • Keith A. Boughton, Kentaro Yamamoto
      Pages 147-156

    5. Multidimensional Three-Mode Rasch Models

      • Claus H. Carstensen, Jürgen Rost
      Pages 157-175

    6. (Almost) Equivalence Between Conditional and Mixture Maximum Likelihood Estimates for Some Models of the Rasch Type

      • Anton K. Formann
      Pages 177-189

    7. Rasch Models for Longitudinal Data

      • Thorsten Meiser
      Pages 191-199

    8. The Interaction Model

      • Shelby J. Haberman
      Pages 201-216

    9. Multilevel Rasch Models

      • Akihito Kamata, Yuk Fai Cheong
      Pages 217-232

  5. Applications of Multivariate and Mixed Rasch Models

    1. Front Matter

      Pages 233-233
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    2. Mixed Rasch Models for Measurement in Cognitive Psychology

      • Susan E. Embretson
      Pages 235-253

    3. Detecting Response Styles and Faking in Personality and Organizational Assessments by Mixed Rasch Models

      • Michael Eid, Michael J. Zickar
      Pages 255-270
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Keywords

About this book

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.

Reviews

From the reviews:

"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 Huškova, Zentralblatt MATH, Vol. 1117 (19), 2007)

"This book, published in honor of the retirement of Jürgen 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)

Authors and Affiliations

  • Educational Testing Service, Princeton, USA

    Matthias Davier

  • Leibniz-Institut für die Pädagogik der Naturwissenschaften (IPN), University of Kiel, Institute for Science Education, Kiel, Germany

    Claus H. Carstensen

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