
Multidimensional Item Response Theory
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This book is a description of the theoretical foundations of multidimensional item response theory and the methodologies for applying multidimensional item response theory to practical testing problems.
Table of contents:
- Introduction
- Historical and intellectual underpinnings of multidimensional item response theory
- Basic background in item response theory
- Extension of item response theory to the multidimensional case
- Estimation of item and person parameters
- Linking of calibrations
- Multidimensional models for computerized adaptive tests
- Other applications of multidimensional item response theory
- Future directions for multidimensional item response theory.
Table of contents:
- Introduction
- Historical and intellectual underpinnings of multidimensional item response theory
- Basic background in item response theory
- Extension of item response theory to the multidimensional case
- Estimation of item and person parameters
- Linking of calibrations
- Multidimensional models for computerized adaptive tests
- Other applications of multidimensional item response theory
- Future directions for multidimensional item response theory.
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.
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.