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Multidimensional item reponse theory. (English) Zbl 1291.62023

Statistics for Social and Behavioral Sciences. New York, NY: Springer (ISBN 978-0-387-89975-6/hbk; 978-1-4614-1714-9/pbk; 978-0-387-89976-3/ebook). ix, 353 p. (2009).
Publisher’s description: This 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.

MSC:

62-02 Research exposition (monographs, survey articles) pertaining to statistics
62H15 Hypothesis testing in multivariate analysis
62-07 Data analysis (statistics) (MSC2010)
62N03 Testing in survival analysis and censored data
62P15 Applications of statistics to psychology
62P25 Applications of statistics to social sciences

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