New Horizon Testing
Latent Trait Test Theory and Computerized Adaptive Testing
Published on 4. January 1984
Book
Hardback
345 pages
978-0-12-742780-5 (ISBN)
Description
New Horizons in Testing: Latent Trait Test Theory and Computerized Adaptive Testing provides an in-depth analysis of psychological measurement, espoused by the computer-latent trait test theory (item response theory) and computerized adaptive testing. The book is organized into five parts. The first part addresses basic problems in estimating the parameters of the item response theory models that constitute a class of latent trait test theory models. The second part, discusses the implications of item response theory for measuring individuals using more than just simply a trait level (e.g., ability) score. Part III describes the application of item response theory models to specific applied problems, including the problem of equating tests or linking items into a pool, a latent trait model for timed tests, and the problem of measuring growth using scores derived from the application of item response theory models. Part IV is concerned with the application of item response theory to computerized adaptive testing. Finally, Part V includes discussion of two special models beyond the standard models used in the rest of the book. One of these models, the constant information model, is a simplification of the general latent trait models, whereas the other is an extension of latent trait models to the problem of measuring change. Psychometricians, psychologists, and psychiatrists will find the book useful.
New Horizons in Testing: Latent Trait Test Theory and Computerized Adaptive Testing provides an in-depth analysis of psychological measurement, espoused by the computer-latent trait test theory (item response theory) and computerized adaptive testing. The book is organized into five parts. The first part addresses basic problems in estimating the parameters of the item response theory models that constitute a class of latent trait test theory models. The second part, discusses the implications of item response theory for measuring individuals using more than just simply a trait level (e.g., ability) score. Part III describes the application of item response theory models to specific applied problems, including the problem of equating tests or linking items into a pool, a latent trait model for timed tests, and the problem of measuring growth using scores derived from the application of item response theory models. Part IV is concerned with the application of item response theory to computerized adaptive testing. Finally, Part V includes discussion of two special models beyond the standard models used in the rest of the book. One of these models, the constant information model, is a simplification of the general latent trait models, whereas the other is an extension of latent trait models to the problem of measuring change. Psychometricians, psychologists, and psychiatrists will find the book useful.
New Horizons in Testing: Latent Trait Test Theory and Computerized Adaptive Testing provides an in-depth analysis of psychological measurement, espoused by the computer-latent trait test theory (item response theory) and computerized adaptive testing. The book is organized into five parts. The first part addresses basic problems in estimating the parameters of the item response theory models that constitute a class of latent trait test theory models. The second part, discusses the implications of item response theory for measuring individuals using more than just simply a trait level (e.g., ability) score. Part III describes the application of item response theory models to specific applied problems, including the problem of equating tests or linking items into a pool, a latent trait model for timed tests, and the problem of measuring growth using scores derived from the application of item response theory models. Part IV is concerned with the application of item response theory to computerized adaptive testing. Finally, Part V includes discussion of two special models beyond the standard models used in the rest of the book. One of these models, the constant information model, is a simplification of the general latent trait models, whereas the other is an extension of latent trait models to the problem of measuring change. Psychometricians, psychologists, and psychiatrists will find the book useful.
More details
Language
English
Place of publication
San Diego
United States
Publishing group
Elsevier Science Publishing Co Inc
Target group
College/higher education
Professional and scholarly
Weight
780 gr
ISBN-13
978-0-12-742780-5 (9780127427805)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
06/2014
Academic Press
€54.95
Available for download
Person
Content
Contributors
Preface
Acknowledgments
Introduction
Latent Trait Theory
Adaptive Testing
References
I Estimating Item Parameters and Ability
1 Estimation of Parameters in the Three-Parameter Latent Trait Model
Purpose
Design of the Study
Results
Discussion
References
2 Robustness of Item Response Models and Effects of Test Length and Sample Size on the Precision of Ability Estimates
Study 1
Study 2
References
3 Small N Justifies Rasch Model
Method
Test Studied
Results
Conclusions
Appendix: Asymptotic Sampling Variance of ?
Reference
4 Are We Correcting for Guessing in the Wrong Direction?
The Start of an Alternative
A More Specific Plan
An AMJACK Example
Conclusions
Afterthought
Appendix A
Appendix B
References
II Beyond the Ability Estimate
5 The Person Response Curve: Fit of Individuals to Item Response Theory Models
Related Research
The Person Response Curve
Method
Results
Conclusions and Directions for Future Research
References
6 Appropriateness Measurement: Validating Studies and Variable Ability Models
Objectives and Limitations of Appropriateness Measurement
Review of Test Theories and Basic Appropriateness Measurement
Simulation Procedures and Earlier Results
Empirical Studies
Summary and Concluding Remarks
References
III Applications to Testing Problems
7 Effects of Sample Size on Linear Equating of Item Characterisfic Curve Parameters
Item Characteristic Curve Parameters
Linking Paradigms
Method
Results
Discussion
Conclusions
References
8 A Test of the Adequacy of Curvilinear Score Equating Models
Equating Models
Study Design
Results and Discussion
Conclusions
References
9 Timed Testing: An Approach Using Item Response Theory
The Model
Estimation
Applications: I. Spatial Test Data
Applications: II. Three Tests
Conclusions
References
10 The Mental Growth Curve Reexamined
A Scaling Procedure Fully Independent of Chronological Age Units
Scaling the Binet Test
Advantages of the Present Scaling Procedure
Appendix
References
IV Application to Adaptive Testing
11 Reliability and Validity of Adaptive Ability Tests in a Military Setting
Background and Purpose
Method
Results
Conclusions
References
12 A Procedure for Decision Making Using Tailored Testing
Tailored Testing Procedures
Sequential Decision Procedures
The Sequential Probability Ratio Test
Research Design
Results
Summary and Conclusions
References
13 A Comparison of IRT-Based Adaptive Mastery Testing and a Sequential Mastery Testing Procedure
Alternatives to Conventional Mastery Tests
Method
Results
Discussion and Conclusions
References
V Models for Special Applications
14 The Constant Information Model on the Dichotomous Response Level
The Constant Information Model
Use of the Constant Information Model in the Estimation of the Operating Characteristics of Item Response Categories
Discussion and Conclusion
References
15 Some Latent Trait Models for Measuring Change in Qualitative Observations
A Family of Linear Logistic Models for Qualitative Data
The Dichotomous Linear Logistic Model with Relaxed Assumptions
The Epistemological Background of the Linear Logistic Model with Relaxed Assumptions
Estimating Model Parameters in the Linear Logistic Model with Relaxed Assumptions
Testing Hypotheses with the Linear Logistic Model with Relaxed Assumptions
The Polytomous Linear Logistic Model with Relaxed Assumptions
References
Author Index
Subject Index
Preface
Acknowledgments
Introduction
Latent Trait Theory
Adaptive Testing
References
I Estimating Item Parameters and Ability
1 Estimation of Parameters in the Three-Parameter Latent Trait Model
Purpose
Design of the Study
Results
Discussion
References
2 Robustness of Item Response Models and Effects of Test Length and Sample Size on the Precision of Ability Estimates
Study 1
Study 2
References
3 Small N Justifies Rasch Model
Method
Test Studied
Results
Conclusions
Appendix: Asymptotic Sampling Variance of ?
Reference
4 Are We Correcting for Guessing in the Wrong Direction?
The Start of an Alternative
A More Specific Plan
An AMJACK Example
Conclusions
Afterthought
Appendix A
Appendix B
References
II Beyond the Ability Estimate
5 The Person Response Curve: Fit of Individuals to Item Response Theory Models
Related Research
The Person Response Curve
Method
Results
Conclusions and Directions for Future Research
References
6 Appropriateness Measurement: Validating Studies and Variable Ability Models
Objectives and Limitations of Appropriateness Measurement
Review of Test Theories and Basic Appropriateness Measurement
Simulation Procedures and Earlier Results
Empirical Studies
Summary and Concluding Remarks
References
III Applications to Testing Problems
7 Effects of Sample Size on Linear Equating of Item Characterisfic Curve Parameters
Item Characteristic Curve Parameters
Linking Paradigms
Method
Results
Discussion
Conclusions
References
8 A Test of the Adequacy of Curvilinear Score Equating Models
Equating Models
Study Design
Results and Discussion
Conclusions
References
9 Timed Testing: An Approach Using Item Response Theory
The Model
Estimation
Applications: I. Spatial Test Data
Applications: II. Three Tests
Conclusions
References
10 The Mental Growth Curve Reexamined
A Scaling Procedure Fully Independent of Chronological Age Units
Scaling the Binet Test
Advantages of the Present Scaling Procedure
Appendix
References
IV Application to Adaptive Testing
11 Reliability and Validity of Adaptive Ability Tests in a Military Setting
Background and Purpose
Method
Results
Conclusions
References
12 A Procedure for Decision Making Using Tailored Testing
Tailored Testing Procedures
Sequential Decision Procedures
The Sequential Probability Ratio Test
Research Design
Results
Summary and Conclusions
References
13 A Comparison of IRT-Based Adaptive Mastery Testing and a Sequential Mastery Testing Procedure
Alternatives to Conventional Mastery Tests
Method
Results
Discussion and Conclusions
References
V Models for Special Applications
14 The Constant Information Model on the Dichotomous Response Level
The Constant Information Model
Use of the Constant Information Model in the Estimation of the Operating Characteristics of Item Response Categories
Discussion and Conclusion
References
15 Some Latent Trait Models for Measuring Change in Qualitative Observations
A Family of Linear Logistic Models for Qualitative Data
The Dichotomous Linear Logistic Model with Relaxed Assumptions
The Epistemological Background of the Linear Logistic Model with Relaxed Assumptions
Estimating Model Parameters in the Linear Logistic Model with Relaxed Assumptions
Testing Hypotheses with the Linear Logistic Model with Relaxed Assumptions
The Polytomous Linear Logistic Model with Relaxed Assumptions
References
Author Index
Subject Index