Test Equating, Scaling, and Linking
Test Equating, Scaling, and Linking

Author: Michael J. Kolen

Publisher: Springer Science & Business Media

Published: 2014-01-13

Total Pages: 582

ISBN-13: 1493903179

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This book provides an introduction to test equating, scaling and linking, including those concepts and practical issues that are critical for developers and all other testing professionals. In addition to statistical procedures, successful equating, scaling and linking involves many aspects of testing, including procedures to develop tests, to administer and score tests and to interpret scores earned on tests. Test equating methods are used with many standardized tests in education and psychology to ensure that scores from multiple test forms can be used interchangeably. Test scaling is the process of developing score scales that are used when scores on standardized tests are reported. In test linking, scores from two or more tests are related to one another. Linking has received much recent attention, due largely to investigations of linking similarly named tests from different test publishers or tests constructed for different purposes. In recent years, researchers from the education, psychology and statistics communities have contributed to the rapidly growing statistical and psychometric methodologies used in test equating, scaling and linking. In addition to the literature covered in previous editions, this new edition presents coverage of significant recent research. In order to assist researchers, advanced graduate students and testing professionals, examples are used frequently and conceptual issues are stressed. New material includes model determination in log-linear smoothing, in-depth presentation of chained linear and equipercentile equating, equating criteria, test scoring and a new section on scores for mixed-format tests. In the third edition, each chapter contains a reference list, rather than having a single reference list at the end of the volume The themes of the third edition include: * the purposes of equating, scaling and linking and their practical context * data collection designs * statistical methodology * designing reasonable and useful equating, scaling, and linking studies * importance of test development and quality control processes to equating * equating error, and the underlying statistical assumptions for equating

Advancing Human Assessment
Advancing Human Assessment

Author: Randy E. Bennett

Publisher: Springer

Published: 2017-10-17

Total Pages: 717

ISBN-13: 3319586890

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This book is open access under a CC BY-NC 2.5 license.​​ This book describes the extensive contributions made toward the advancement of human assessment by scientists from one of the world’s leading research institutions, Educational Testing Service. The book’s four major sections detail research and development in measurement and statistics, education policy analysis and evaluation, scientific psychology, and validity. Many of the developments presented have become de-facto standards in educational and psychological measurement, including in item response theory (IRT), linking and equating, differential item functioning (DIF), and educational surveys like the National Assessment of Educational Progress (NAEP), the Programme of international Student Assessment (PISA), the Progress of International Reading Literacy Study (PIRLS) and the Trends in Mathematics and Science Study (TIMSS). In addition to its comprehensive coverage of contributions to the theory and methodology of educational and psychological measurement and statistics, the book gives significant attention to ETS work in cognitive, personality, developmental, and social psychology, and to education policy analysis and program evaluation. The chapter authors are long-standing experts who provide broad coverage and thoughtful insights that build upon decades of experience in research and best practices for measurement, evaluation, scientific psychology, and education policy analysis. Opening with a chapter on the genesis of ETS and closing with a synthesis of the enormously diverse set of contributions made over its 70-year history, the book is a useful resource for all interested in the improvement of human assessment.

The Kernel Method of Test Equating
The Kernel Method of Test Equating

Author: Alina A. von Davier

Publisher: Springer Science & Business Media

Published: 2003-10-01

Total Pages: 244

ISBN-13: 0387019855

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KE is applied to the four major equating designs and to both Chain Equating and Post-Stratification Equating for the Non-Equivalent groups with Anchor Test Design. It will be an important reference for several groups: (a) Statisticians (b) Practitioners and (c) Instructors in psychometric and measurement programs. The authors assume some familiarity with linear and equipercentile test equating, and with matrix algebra.

Linking and Aligning Scores and Scales
Linking and Aligning Scores and Scales

Author: Neil J. Dorans

Publisher: Springer Science & Business Media

Published: 2007-10-15

Total Pages: 399

ISBN-13: 0387497714

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In this book, experts in statistics and psychometrics describe classes of linkages, the history of score linkings, data collection designs, and methods used to achieve sound score linkages. They describe and critically discuss applications to a variety of domains. They define what linking is, to distinguish among the varieties of linking and to describe different procedure for linking. Furthermore, they convey the complexity and diversity of linking by covering different areas of linking and providing diverse perspectives.

Applying Test Equating Methods
Applying Test Equating Methods

Author: Jorge González

Publisher: Springer

Published: 2017-03-06

Total Pages: 217

ISBN-13: 3319518240

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This book describes how to use test equating methods in practice. The non-commercial software R is used throughout the book to illustrate how to perform different equating methods when scores data are collected under different data collection designs, such as equivalent groups design, single group design, counterbalanced design and non equivalent groups with anchor test design. The R packages equate, kequate and SNSequate, among others, are used to practically illustrate the different methods, while simulated and real data sets illustrate how the methods are conducted with the program R. The book covers traditional equating methods including, mean and linear equating, frequency estimation equating and chain equating, as well as modern equating methods such as kernel equating, local equating and combinations of these. It also offers chapters on observed and true score item response theory equating and discusses recent developments within the equating field. More specifically it covers the issue of including covariates within the equating process, the use of different kernels and ways of selecting bandwidths in kernel equating, and the Bayesian nonparametric estimation of equating functions. It also illustrates how to evaluate equating in practice using simulation and different equating specific measures such as the standard error of equating, percent relative error, different that matters and others.

Educational Measurement
Educational Measurement

Author: Robert L. Brennan

Publisher: Rowman & Littlefield

Published: 2023-10-03

Total Pages: 804

ISBN-13: 1493082256

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Educational Measurement has been the bible in its field since the first edition was published by ACE in 1951. The importance of this fourth edition of Educational Measurement is to extensively update and extend the topics treated in the previous three editions. As such, the fourth edition documents progress in the field and provides critical guidance to the efforts of new generations of researchers and practitioners. Edited by Robert Brennan and jointly sponsored by the American Council on Education (ACE) and the National Council on Measurement in Education, the fourth edition provides in-depth treatments of critical measurement topics, and the chapter authors are acknowledged experts in their respective fields. Educational measurement researchers and practitioners will find this text essential, and those interested in statistics, psychology, business, and economics should also find this work to be of very strong interest. Topics covered are divided into three subject areas: theory and general principles; construction, administration, and scoring; and applications. The first part of the book covers the topics of validation, reliability, item response theory, scaling and norming, linking and equating, test fairness, and cognitive psychology. Part two includes chapters on test development, test administration, performance assessment, setting performance standards, and technology in testing. The final section includes chapters on second language testing, testing for accountability in K-12 schools, standardized assessment of individual achievement in K-12 schools, higher education admissions testing, monitoring educational progress, licensure and certification testing, and legal and ethical issues.

Looking Back
Looking Back

Author: Neil J. Dorans

Publisher: Springer Science & Business Media

Published: 2011-07-15

Total Pages: 289

ISBN-13: 1441993894

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In 2006, Paul W. Holland retired from Educational Testing Service (ETS) after a career spanning five decades. In 2008, ETS sponsored a conference, Looking Back, honoring his contributions to applied and theoretical psychometrics and statistics. Looking Back attracted a large audience that came to pay homage to Paul Holland and to hear presentations by colleagues who worked with him in special ways over those 40+ years. This book contains papers based on these presentations, as well as vignettes provided by Paul Holland before each section. The papers in this book attest to how Paul Holland's pioneering ideas influenced and continue to influence several fields such as social networks, causal inference, item response theory, equating, and DIF. He applied statistical thinking to a broad range of ETS activities in test development, statistical analysis, test security, and operations. The original papers contained in this book provide historical context for Paul Holland’s work alongside commentary on some of his major contributions by noteworthy statisticians working today.

The Wiley Handbook of Psychometric Testing
The Wiley Handbook of Psychometric Testing

Author: Paul Irwing

Publisher: John Wiley & Sons

Published: 2018-02-12

Total Pages: 550

ISBN-13: 1118489829

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A must-have resource for researchers, practitioners, and advanced students interested or involved in psychometric testing Over the past hundred years, psychometric testing has proved to be a valuable tool for measuring personality, mental ability, attitudes, and much more. The word ‘psychometrics’ can be translated as ‘mental measurement’; however, the implication that psychometrics as a field is confined to psychology is highly misleading. Scientists and practitioners from virtually every conceivable discipline now use and analyze data collected from questionnaires, scales, and tests developed from psychometric principles, and the field is vibrant with new and useful methods and approaches. This handbook brings together contributions from leading psychometricians in a diverse array of fields around the globe. Each provides accessible and practical information about their specialist area in a three-step format covering historical and standard approaches, innovative issues and techniques, and practical guidance on how to apply the methods discussed. Throughout, real-world examples help to illustrate and clarify key aspects of the topics covered. The aim is to fill a gap for information about psychometric testing that is neither too basic nor too technical and specialized, and will enable researchers, practitioners, and graduate students to expand their knowledge and skills in the area. Provides comprehensive coverage of the field of psychometric testing, from designing a test through writing items to constructing and evaluating scales Takes a practical approach, addressing real issues faced by practitioners and researchers Provides basic and accessible mathematical and statistical foundations of all psychometric techniques discussed Provides example software code to help readers implement the analyses discussed

Test Equating, Scaling, and Linking
Test Equating, Scaling, and Linking

Author: Michael J. Kolen

Publisher: Springer Science & Business Media

Published: 2013-03-14

Total Pages: 568

ISBN-13: 1475743106

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By providing an introduction to test equating which both discusses the most frequently used equating methodologies and covering many of the practical issues involved, this volume expands upon the coverage of the first edition by providing a new chapter on test scaling and a second on test linking.

Statistical Models for Test Equating, Scaling, and Linking
Statistical Models for Test Equating, Scaling, and Linking

Author: Alina von Davier

Publisher: Springer Science & Business Media

Published: 2010-10-19

Total Pages: 380

ISBN-13: 0387981381

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The goal of this book is to emphasize the formal statistical features of the practice of equating, linking, and scaling. The book encourages the view and discusses the quality of the equating results from the statistical perspective (new models, robustness, fit, testing hypotheses, statistical monitoring) as opposed to placing the focus on the policy and the implications, which although very important, represent a different side of the equating practice. The book contributes to establishing “equating” as a theoretical field, a view that has not been offered often before. The tradition in the practice of equating has been to present the knowledge and skills needed as a craft, which implies that only with years of experience under the guidance of a knowledgeable practitioner could one acquire the required skills. This book challenges this view by indicating how a good equating framework, a sound understanding of the assumptions that underlie the psychometric models, and the use of statistical tests and statistical process control tools can help the practitioner navigate the difficult decisions in choosing the final equating function. This book provides a valuable reference for several groups: (a) statisticians and psychometricians interested in the theory behind equating methods, in the use of model-based statistical methods for data smoothing, and in the evaluation of the equating results in applied work; (b) practitioners who need to equate tests, including those with these responsibilities in testing companies, state testing agencies, and school districts; and (c) instructors in psychometric, measurement, and psychology programs.