The Theory and Practice of Item Response Theory

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Guilford Press, Jan 1, 2009 - Education - 448 pages

Item response theory (IRT) is a latent variable modeling approach used to minimize bias and optimize the measurement power of educational and psychological tests and other psychometric applications.

Designed for researchers, psychometric professionals, and advanced students, this book clearly presents both the "how-to" and the "why" of IRT. It describes simple and more complex IRT models and shows how they are applied with the help of widely available software packages. Chapters follow a consistent format and build sequentially, taking the reader from model development through the fit analysis and interpretation phases that one would perform in practice. The use of common empirical data sets across the chapters facilitates understanding of the various models and how they relate to one another.
 

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Contents

Conceptual Development of the TwoParameter Model
99
Metric Transformation 2PL Model
106
Information and Relative Efficiency
114
The ThreeParameter Model
123
Rasch Models for Ordered Polytomous Data
162
NonRasch Models for Ordered Polytomous Data
211
Models for Nominal Polytomous Data
237
Models for Multidimensional Data
275
Differential Item Functioning
323
APPENDIx A Maximum Likelihood Estimation of Person Locations
347
APPENDIx B Maximum Likelihood Estimation of Item Locations
356
Computerized Adaptive Testing
373
APPENDIx E Miscellanea
382
References
419
Author Index
439
About the Author
448

11 Linking and Equating
306

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About the author (2009)

R. J. de Ayala is Professor of Educational Psychology at the University of Nebraska-Lincoln. His research interests include psychometrics, item response theory, computerized adaptive testing, applied statistics, and multilevel models. His work has appeared in Applied Psychological Measurement, Applied Measurement in Education, the British Journal of Mathematical and Statistical Psychology, Educational and Psychological Measurement, the Journal of Applied Measurement, and the Journal of Educational Measurement. He is a Fellow of the American Psychological Association's Division 5: Evaluation, Measurement, and Statistics, as well as of the American Educational Research Association.

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