Handbook of Polytomous Item Response Theory Models  book cover
1st Edition

Handbook of Polytomous Item Response Theory Models

ISBN 9780805859928
Published April 6, 2010 by Routledge
306 Pages

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Book Description

This comprehensive Handbook focuses on the most used polytomous item response theory (IRT) models. These models help us understand the interaction between examinees and test questions where the questions have various response categories.  The book reviews all of the major models and includes discussions about how and where the models originated, conceptually and in practical terms. Diverse perspectives on how these models can best be evaluated are also provided. Practical applications provide a realistic account of the issues practitioners face using these models. Disparate elements of the book are linked through editorial sidebars that connect common ideas across chapters, compare and reconcile differences in terminology, and explain variations in mathematical notation. These sidebars help to demonstrate the commonalities that exist across the field. By assembling this critical information, the editors hope to inspire others to use polytomous IRT models in their own research so they too can achieve the type of improved measurement that such models can provide.

Part 1 examines the most commonly used polytomous IRT models, major issues that cut across these models,  and a common notation for calculating functions for each model. An introduction to IRT software is also provided.  Part 2 features distinct approaches to evaluating the effectiveness of polytomous IRT models in various measurement contexts. These chapters appraise evaluation procedures and fit tests and demonstrate how to implement these procedures using IRT software. The final section features groundbreaking applications.  Here the goal is to provide solutions to technical problems to allow for the most effective use of these models in measuring educational, psychological, and social science abilities and traits. This section also addresses the major issues encountered when using polytomous IRT models in computerized adaptive testing.  Equating test scores across different testing contexts is the focus of the last chapter. The various contexts include personality research, motor performance, health and quality of life indicators, attitudes, and educational achievement.

Featuring contributions from the leading authorities, this handbook will appeal to measurement researchers, practitioners, and students who want to apply polytomous IRT models to their own research. It will be of particular interest to education and psychology assessment specialists who develop and use tests and measures in their work, especially researchers in clinical, educational, personality, social, and health  psychology.  This book also serves as a supplementary text in graduate courses on educational measurement, psychometrics, or item response theory.

Table of Contents

Part 1. Development of Polytomous IRT Models. R. Ostini, M. Nering, New Perspectives and Applications. R. Hambleton, W. van der Linden, C. Well, IRT Models for the Analysis of Polytomously-Scored Data: Brief and Selected History of Model Building Advances. D. Thissen, L. Cai, R.D. Bock, The Nominal Categories Item Response Model. F. Samejima, The General Graded Response Model. G. Masters, The Partial Credit Model. D. Andrich, Understanding the Response Structure and Process in the Polytomous Rasch Model. Part 2. Polytomous IRT Model Evaluation. R.D. Bock, R. Gibbons, Factor Analysis of Categorical Item Responses. C.A.W. Glas, Testing Fit to IRT Models for Polytomously Scored Items. Part 3. Application of Polytomous IRT Models. C. Huang, R. Mislevy, An Application of the Polytomous Rasch Model to Mixed Strategies. A. Boyd, B. Dodd, S. Choi, Polytomous Models in Computerized Adaptive Testing. S. Kim, D. Harris, M. Kolen, Equating with Polytomous Item Response Models.

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Michael L. Nering is the Director of the Psychometrics Department at Measured Progress, Inc. He received his Ph.D. in Psychology at the University of Minnesota in 1996. His research interests include person fit, computer-based assessment, equating and item response theory. He has published research in such journals as Applied Psychological Measurement, Measurement and Evaluation in Counseling and Development, Journal of Educational Measurement, and Educational and Psychological Measurement.

Remo Ostini is a Research Fellow in the Healthy Communities Research Centre at the University of Queensland in Australia. He received his Ph.D. in Psychology from the University of Minnesota in 2001. His research interests include health literacy motivation, personality and attitude measurement, and the psychology of morality. He has published research in such journals as the Journal of Medical Ethics, Pharmacoepidemiology and Drug Safety, and the Annals of Pharmacotherapy.


"I am excited to share this book with graduate students and fellow IRT researchers. ... There is a lot of rich information in here that helps even seasoned IRT researchers develop a greater appreciation and understanding. ... It is one of the most useful measurement-related edited volumes that I have read and I will be referring to this book for years to come." - Michael Zickar, Bowling Green State University, USA, in The American Statistician

"This really is a ‘must read’ for measurement students and specialists alike. An outstanding group of authors explain the models, clarify misconceptions, and offer new historical material, methods for evaluating model fit, and innovative applications." - Edward Haertel, Stanford University, USA

"It will likely become a standard reference on polytomous IRT analyses …I would definitely buy it and recommend it. I would most likely use it for an advanced IRT course." - Mark D. Reckase, Michigan State University, USA

" I expect this book will quickly become a seminal resource for researchers and practitioners… it will … have a large impact on the measurement community... Nering and Ostini have put together a very impressive group of experts in the area of polytomous IRT modeling. … This book fills a big gap … I would certainly purchase the book and use it in teaching my advanced IRT classes." - Terry Ackerman, University of North Carolina, Greensboro, USA

"An outstanding collection of original chapters by the principal developers of polytomous IRT models, supplemented by important contributions on model evaluation and example applications. This book will be a standard reference on these models for years to come." - David J. Weiss, Professor of Psychology, University of Minnesota, USA