Ebook: Rasch Models: Foundations, Recent Developments, and Applications

Thirty-two years after the publication of the legendary 'Rasch book' (Rasch, 1960), the rich literature on the Rasch model and its extensions was scattered in journals and many less accessible sources, including 'grey' literature. When asked by students or junior researchers for references to the Rasch model, it was a typical reaction on the part of the editors to state that it was difficult to name one, or just a few; actually, only a whole list of references differing in notation and level of formal abstraction seemed to meet the request in most cases. Therefore, in 1992 the editors decided to invite a number of outstanding authors in the field of Rasch modeling to contribute to a book presenting the current state of knowledge about Rasch models. The aim was not just to collect a number of papers on the subject, rather to produce a well-organized monograph. To this end, a workshop was held in Vienna from 25 to 27 February 1993 in which, after a process of mutual reviewing, drafts of all chapters were read and discussed by all authors, leading to a more systematic organization of the topics treated in unified notation and terminology. (The workshop was sponsored by the University of Vienna; here, the editors would like to express their thanks, in the name of all contributors, both for the financial support and for the hospitality granted.

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This edited volume comprises twenty-one chapters written by leading experts who have closely cooperated to present a self contained and unified overview of results thus far scattered or waiting for journal publication. Together, the chapters survey the underlying theory of Rasch models and the associated statistical ideas, provide systematic access to the fundamental results and proofs, and present a variety of applications.
A clear and current overview is given of the Rasch model for dichotomous and polychotomous responses per item, dealing with the fundamental assumptions, parameter estimation, fit tests, relations to other models, use of item banks, measurement of change and other fields of application.

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This edited volume comprises twenty-one chapters written by leading experts who have closely cooperated to present a self contained and unified overview of results thus far scattered or waiting for journal publication. Together, the chapters survey the underlying theory of Rasch models and the associated statistical ideas, provide systematic access to the fundamental results and proofs, and present a variety of applications.
A clear and current overview is given of the Rasch model for dichotomous and polychotomous responses per item, dealing with the fundamental assumptions, parameter estimation, fit tests, relations to other models, use of item banks, measurement of change and other fields of application.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Some Background for Item Response Theory and the Rasch Model....Pages 3-14
Derivations of the Rasch Model....Pages 15-38
Estimation of Item Parameters....Pages 39-51
On Person Parameter Estimation in the Dichotomous Rasch Model....Pages 53-68
Testing the Rasch Model....Pages 69-95
The Assessment of Person Fit....Pages 97-110
Test Construction from Item Banks....Pages 111-127
Front Matter....Pages 129-129
The Linear Logistic Test Model....Pages 131-155
Linear Logistic Models for Change....Pages 157-180
Dynamic Generalizations of the Rasch Model....Pages 181-201
Linear and Repeated Measures Models for the Person Parameters....Pages 203-214
The One Parameter Logistic Model....Pages 215-237
Linear Logistic Latent Class Analysis and the Rasch Model....Pages 239-255
Mixture Distribution Rasch Models....Pages 257-268
Front Matter....Pages 269-269
Polytomous Rasch Models and their Estimation....Pages 271-291
The Derivation of Polytomous Rasch Models....Pages 293-305
The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models....Pages 307-323
Tests of Fit for Polytomous Rasch Models....Pages 325-352
Extended Rating Scale and Partial Credit Models for Assessing Change....Pages 353-370
Polytomous Mixed Rasch Models....Pages 371-379
Back Matter....Pages 391-436
What Georg Rasch Would Have Thought about this Book....Pages 383-390

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This edited volume comprises twenty-one chapters written by leading experts who have closely cooperated to present a self contained and unified overview of results thus far scattered or waiting for journal publication. Together, the chapters survey the underlying theory of Rasch models and the associated statistical ideas, provide systematic access to the fundamental results and proofs, and present a variety of applications.
A clear and current overview is given of the Rasch model for dichotomous and polychotomous responses per item, dealing with the fundamental assumptions, parameter estimation, fit tests, relations to other models, use of item banks, measurement of change and other fields of application.
Content:
Front Matter....Pages i-viii
Front Matter....Pages 1-1
Some Background for Item Response Theory and the Rasch Model....Pages 3-14
Derivations of the Rasch Model....Pages 15-38
Estimation of Item Parameters....Pages 39-51
On Person Parameter Estimation in the Dichotomous Rasch Model....Pages 53-68
Testing the Rasch Model....Pages 69-95
The Assessment of Person Fit....Pages 97-110
Test Construction from Item Banks....Pages 111-127
Front Matter....Pages 129-129
The Linear Logistic Test Model....Pages 131-155
Linear Logistic Models for Change....Pages 157-180
Dynamic Generalizations of the Rasch Model....Pages 181-201
Linear and Repeated Measures Models for the Person Parameters....Pages 203-214
The One Parameter Logistic Model....Pages 215-237
Linear Logistic Latent Class Analysis and the Rasch Model....Pages 239-255
Mixture Distribution Rasch Models....Pages 257-268
Front Matter....Pages 269-269
Polytomous Rasch Models and their Estimation....Pages 271-291
The Derivation of Polytomous Rasch Models....Pages 293-305
The Polytomous Rasch Model within the Class of Generalized Linear Symmetry Models....Pages 307-323
Tests of Fit for Polytomous Rasch Models....Pages 325-352
Extended Rating Scale and Partial Credit Models for Assessing Change....Pages 353-370
Polytomous Mixed Rasch Models....Pages 371-379
Back Matter....Pages 391-436
What Georg Rasch Would Have Thought about this Book....Pages 383-390
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