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Multidimensional Item Response Theory

✍ Scribed by M.D. Reckase (auth.)


Publisher
Springer-Verlag New York
Year
2009
Tongue
English
Leaves
355
Series
Statistics for Social and Behavioral Sciences
Edition
1
Category
Library

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✦ Synopsis


Multidimensional Item Response Theory is the first book to give thorough coverage to this emerging area of psychometrics. The book describes the commonly used multidimensional item response theory (MIRT) models and the important methods needed for their practical application. These methods include ways to determine the number of dimensions required to adequately model data, procedures for estimating model parameters, ways to define the space for a MIRT model, and procedures for transforming calibrations from different samples to put them in the same space. A full chapter is devoted to methods for multidimensional computerized adaptive testing.

The text is appropriate for an advanced course in psychometric theory or as a reference work for those interested in applying MIRT methodology. A working knowledge of unidimensional item response theory and matrix algebra is assumed. Knowledge of factor analysis is also helpful.

Mark D. Reckase is a professor of Measurement and Quantitative Methods in the College of Education at Michigan State University. He has been president of the National Council of Measurement in Education, Vice President of Division D of the American Educational Research Association, on the Board of Trustees of the Psychometric Society, and the editor of Applied Psychological Measurement and the Journal of Educational Measurement. He has been doing research in the area of MIRT since 1972.

✦ Table of Contents


Front Matter....Pages i-ix
Introduction....Pages 1-10
Unidimensional Item Response Theory Models....Pages 11-55
Historical Background for Multidimensional Item Response Theory (MIRT)....Pages 57-77
Multidimensional Item Response Theory Models....Pages 79-112
Statistical Descriptions of Item and Test Functioning....Pages 113-135
Estimation of Item and Person Parameters....Pages 137-178
Analyzing the Structure of Test Data....Pages 179-231
Transforming Parameter Estimates to a Specified Coordinate System....Pages 233-273
Linking and Scaling....Pages 275-310
Computerized Adaptive Testing Using MIRT....Pages 311-339
Back Matter....Pages 341-353

✦ Subjects


Statistics for Social Science, Behavorial Science, Education, Public Policy, and Law; Psychometrics; Simulation and Modeling; Psychological Methods/Evaluation; Methodology of the Social Sciences


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