Testlet Response Theory and Its Applications

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Overview

The measurement models employed to score tests have been evolving over the past century from those that focus on the entire test (true score theory) to models that focus on individual test items (item response theory) to models that use small groups of items (testlets) as the fungible unit from which tests are constructed and scored (testlet response theory, or TRT). In this book, the inventors of TRT trace the history of this evolution and explain the character of modern TRT. Written for researchers and professionals in statistics, psychometrics, and educational psychology, the first part of the book offers an accessible introduction to TRT and its applications. The rest of the book is a comprehensive, self-contained discussion of the model couched within a fully Bayesian framework. Its parameters are estimated using Markov chain Monte Carlo procedures, and the resulting posterior distributions of the parameters yield insights into score stability that were previously unsuspected. The authors received the National Council on Measurement in Education award for scientific contribution to a field of educational measurement for this work.

About the Author:
Howard Wainer is a Distinguished Research Scientist for the National Board of Medical Examiners and Adjunct Professor of Statistics at the Wharton School of the University of Pennsylvania

About the Author:
Eric T. Bradlow is the K. P. Chao Professor; Professor of Marketing, Statistics, and Education; and Academic Director of the Wharton Small Business Development Center at the Wharton School of the University of Pennsylvania

About the Author:
Xiaohui Wang is an Assistant Professor in theDepartment of Statistics at the University of Virginia

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Editorial Reviews

From the Publisher
"Wainer, Bradlow, and Wang's Testlet Response Theory and Its Applications (2007) is a very accessible and incredibly delightful book to read. We feel that the book is an excellent resource for researchers, practitioners, teachers, and students alike. In summary, we believe the book is a valuable addition to the bookshelves of teachers, students and researchers in testing and measurement. We especially encourage teachers to introduce the TRT models as an integral part of their IRT classes and this book would be a wonderful reference for the students."
Ying Cheng and Leslie Keng for PSYCHOMETRIKA
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Product Details

  • ISBN-13: 9780521862721
  • Publisher: Cambridge University Press
  • Publication date: 3/28/2007
  • Pages: 280
  • Product dimensions: 5.98 (w) x 8.98 (h) x 0.83 (d)

Meet the Author

Dr Howard Wainer is a Distinguished Research Scientist for the National Board of Medical Examiners and Adjunct Professor of Statistics at the Wharton School of the University of Pennsylvania.

Eric T. Bradlow is the K. P. Chao Professor, Professor of Marketing and Statistics, and Academic Director of the Wharton Small Business Development Center, Wharton School of the University of Pennsylvania. Before joining the Wharton faculty, he worked in the Corporate Marketing and Business Research Division at the DuPont Corporation, and in the Statistics and Psychometrics Research Group at the Educational Testing Service. Bradlow was recently named a Fellow of the American Statistical Association.

Dr Xiaohui Wang is an Assistant Professor in the Department of Statistics at the University of Virginia. She worked as a Principal Data Analyst for three years in the Division of Data Analysis and Research Technology at the Educational Testing Service. She has twice received the National Council on Measurement in Education Award for Scientific Contribution to a Field of Educational Measurement.

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Table of Contents


Peface     ix
Introduction to Testlets     1
Introduction     3
True score theory     14
Item response theory     24
What's a testlet and why do we need them?     44
The origins of testlet response theory - three alternatives     60
Fitting testlets with polytomous IRT models     72
Bayesian Testlet Response Theory     105
A brief history and the basic ideas of modern testlet response theory     110
The 2-PL Bayesian testlet model     118
The 3-PL Bayesian testlet model     134
A Bayesian testlet model for a mixture of binary and polytomous data     144
A Bayesian testlet model with covariates     154
Testlet nonresponse theory: dealing with missing data     186
Two Applications and a Tutorial     205
Using posterior distributions to evaluate passing scores: the PPoP curve     207
A Bayesian method for studying DIF: a cautionary tale filled with surprises and delights     219
A Bayesian primer     234
Glossary of terms     247
Epilogue     249
Bibliography     251
Author Index     261
Subject Index     263
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