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Multidimensional item response theory

Author: Mark Reckase
Publisher: New York ; London : Springer, 2009.
Series: Statistics for social and behavioral sciences.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
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.
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Reckase, Mark.
Multidimensional item response theory.
New York ; London : Springer, 2009
(OCoLC)416289543
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Mark Reckase
ISBN: 9780387899763 0387899766 0387899758 9780387899756
OCLC Number: 437345698
Description: 1 online resource.
Contents: Cover --
Contents --
1 Introduction --
1.1 A Conceptual Framework for Thinking About People and Test Items --
1.2 General Assumptions Behind Model Development --
1.3 Exercises --
2 Unidimensional Item Response Theory Models --
2.1 Unidimensional Models of the Interactions of Persons and Test Items --
2.1.1 Models for Items with Two Score Categories --
2.1.2 Relationships Between UIRT Parameters and Classical Item Statistics --
2.1.3 Models for Items with More Than Two Score Categories --
2.2 Other Descriptive Statistics for Items and Tests --
2.2.1 The Test Characteristic Curve --
2.2.2 Information Function --
2.3 Limitations of Unidimensional IRT Models --
2.4 Exercises --
3 Historical Background for Multidimensional Item Response Theory --
3.1 Psychological and Educational Context for MIRT --
3.2 Test Development Context for MIRT --
3.3 Psychometric Antecedents of MIRT --
3.3.1 Factor Analysis --
3.3.2 Item Response Theory --
3.3.3 Comparison of the Factor Analytic and MIRT Approaches --
3.4 Early MIRT Developments --
3.5 Developing Applications of MIRT --
3.6 Influence of MIRT on the Concept of a Test --
3.7 Exercises --
4 Multidimensional Item Response Theory Models --
4.1 Multidimensional Models for the Interaction Between a Person and a Test Item --
4.1.1 MIRT Models for Test Items with Two Score Categories --
4.1.2 MIRT Models for Test Items with More Than Two Score Categories --
4.2 Future Directions for Model Development --
4.3 Exercises --
5 Statistical Descriptions of Item and Test Functioning --
5.1 Item Difficulty and Discrimination --
5.2 Item Information --
5.3 MIRT Descriptions of Test Functioning --
5.4 Summary and Conclusions --
5.5 Exercises --
6 Estimation of Item and Person Parameters --
6.1 Background Concepts for Parameter Estimation --
6.1.1 Estimation of the -vector with Item Parameters Known --
6.2 Computer Programs for Estimating MIRT Parameters --
6.2.1 TESTFACT --
6.2.2 NOHARM --
6.2.3 ConQuest --
6.2.4 BMIRT --
6.3 Comparison of Estimation Programs --
6.4 Exercises --
7 Analyzing the Structure of Test Data --
7.1 Determining the Number of Dimensions for an Analysis --
7.1.1 Over and Under-Specification of Dimensions --
7.1.2 Theoretical Requirements for Fit by a One-Dimensional Model --
7.2 Procedures for Determining the Required Number of Dimensions --
7.2.1 DIMTEST --
7.2.2 DETECT --
7.2.3 Parallel Analysis --
7.2.4 Difference Chi-Square --
7.3 Clustering Items to Confirm Dimensional Structure --
7.4 Confirmatory Analysis to Check Dimensionality --
7.5 Concluding Remarks --
7.6 Exercises --
8 Transforming Parameter Estimates to a Specified Coordinate System --
8.1 Converting Parameters from One Coordinate System to Another --
8.1.1 Translation of the Origin of the -Space --
8.1.2 Rotating the Coordinate Axes of the -Space --
8.1.3 Changing the Units of the Coordinate Axes --
8.1.4 Converting Parameters Using Translation, Rotation, and Change of Units --
8.2 Recovering Transformations from Item- and Person-Parameters --
8.2.1 Recovering Transformations from -vectors --
8.2.2 Recovering Transformations Using Item Parameters --
8.3 Transforming the -space for the Partially Compensatory Model --
8.4 Exercises --
9 Linking and Scaling --
9.1 Specifying the Common Multidimensional Space --
9.2 Relating Results from Different Test Forms --
9.2.1.
Series Title: Statistics for social and behavioral sciences.
Responsibility: by Mark D. Reckase.

Abstract:

This book describes the commonly used multidimensional item response theory (MIRT) models and the important methods needed for their practical application. It is the first book to give thorough  Read more...

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From the reviews:"This book is the result of the author's many years of work in multidimensional item response theory (MIRT) work that builds on the foundations laid by item response theory (IRT) and Read more...

 
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