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  Assessment Systems Corporation :: Books :: Multivariate and Mixture Distribution Rasch Models: Extensions and Applications

  Multivariate and Mixture Distribution Rasch Models: Extensions and Applications
Multivariate and Mixture Distribution Rasch Models: Extensions and Applications

Multivariate and Mixture Distribution Rasch Models: Extensions and Applications

Matthias von Davier
Claus H. Carstensen

This volume covers extensions of the Rasch model, one of the most researched and applied models in educational research and social science. This collection contains 22 chapters by some of the most recognized international experts in the field. They cover topics ranging from general model extensions to applications in fields 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 examinees' responses to multiple tasks such as cognitive items from psychological tests or from educational assessments. The Rasch model's elegant mathematical form is suitable for extensions that allow for greater flexibility in handling complex samples of examinees and collections of tasks from different domains. In these extensions, the Rasch model is enhanced by additional structural elements that either account for differences between diverse populations or for differences among observed variables.

Research on extending well-known statistical tools like regression, mixture distributions, and hierarchical linear models has led to the adoption of Rasch model features to handle categorical observed variables. We maintain both perspectives in the volume and show how these merged models—Rasch models with a more complex item or population structure—are derived either from the Rasch model or from a structural model, how they are estimated, and where they are applied.

Written for:

Empirical researchers in Education, Sociology, Psychology in universities and testing organizations, graduate students in Psychometrics

Table of Contents

  • Introduction: Extending the Rasch model or abandoning the Rasch model: Matthias von Davier, Jürgen Rost, Claus H. Carstensen.
  • Measurement models as narrative structures: Robert Mislevy, Chun-Wei Huang.
  • Testing generalized RM's: Cees A.W. Glas.
  • The mixed-coefficients multinomal logit model--a generalized form of the Rasch model: Raymond J. Adams, Margaret L. Wu.
  • Loglinear multivariate mixture Rasch models: Henk Kelderman.
  • Mixture distribution and hybrid Rasch models: Matthias von Davier, Kentaro Yamamoto.
  • Application of the Saltus model to stage-like data: some appliations and current developments: Karen Draney, Mark Wilson.
  • Determination of diagnostic cutpoints using stochastically ordered mixed Rasch models: Svend Kreiner.
  • A HYBRID model for test speededness: Keith A. Boughton, Kentaro Yamamoto.
  • Multidimensional three-mode RM's: Claus H. Carstensen, Jürgen Rost.
  • (Almost) equivalence between conditional and mixture maximum likelihood estimates for some models of the Rasch type: Anton K. Formann.
  • Rasch models for longitudinal data: Thorsten Meiser.
  • The interaction model: Shelby J. Haberman.
  • Multilvel Rasch models: Akihito Kamata, Yuk Fai Cheong.
  • Mixed Rasch models for measurement in cognitive psychology: Susan E. Embretson.
  • Detecting response styles and faking in personality and organizational assessments by mixed Rasch models: Michael Eid, Michael J. Zickar.
  • Application of multivariate Rasch models in international large scale educational assessments: Raymond J. Adams, Margaret L. Wu, Claus H. Carstensen.
  • Studying development via item response models: a wide range of potential uses: Judith Glück, Christiane Spiel.
  • A comparison of the Rasch model and constrained item response theory models for pertinent psychological test data: Klaus D. Kubinger, Clemens Draxler.
  • Latent response Rasch models for strategy shifts in problem solving processes: Carl P. M. Rijkes,Henk Kelderman.
  • Validity and objectivity in health related scales: analysis by graphical loglinear Rasch models: Svend Kreiner, Karl Bang Christensen.
  • Applications of generalized Rasch models in the sport, exercise and the motor domains: Gershon Tenenbaum, Bernd Strauss, Dirk Büsch.

402 pages. 2007. Hardcover.

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