Linking and Aligning Scores and Scales

The comparability of measurements made in differing circumstances by different methods and investigators is a fundamental pre-condition for all of science. Successful applications of technology require comparable measurements. While the applications heref

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Statistics for Social and Behavioral Sciences Brennan: Generalizability Theory DeBoeck/Wilson: Explanatory Item Response Models: A Generalized Linear and Nonlinear Approach Devlin/Fienberg/Resnick/Roeder: Intelligence, Genes, and Success: Scientists Respond to The Bell Curve Dorans/Pommerich/Holland: Linking and Aligning Scores and Scales Finkelstein/Levin: Statistical for Lawyers, 2nd ed. Gastwirth: Statistical Science in the Courtroom Handcock/Morris: Relative Distribution Methods in the Social Sciences Johnson/Albert: Ordinal Data Modeling Kolen/Brennan: Test Equating, Scaling, and Linking: Methods and Practices, 2nd ed. Longford: Missing Data and Small-Area Estimation: Modern Analytical Equipment for the Survey Statistician Morton/Rolph: Public Policy and Statistics: Case Studies from RAND van der Linden: Linear Models for Optimal Test Design von Davier/Carstensen: Multivariate and Mixture Distribution Rasch Models von Davier/Holland/Thayer: The Kernel Method of Test Equating Zeisel/Kaye: Prove It with Figures: Empirical Methods in Law and Litigation

Neil J. Dorans Mary Pommerich Paul W. Holland (Editors)

Linking and Aligning Scores and Scales Foreword by Ida M. Lawrence

Paul W. Holland Educational Testing Service Rosedale Road Princeton, NJ 08541 [email protected]

Neil J. Dorans Educational Testing Service Rosedale Road Princeton, NJ 08541 [email protected]

Mary Pommerich Monterey Bay Defense Manpower Data Center 400 Gigling Rd. Seaside, CA 93955 USA [email protected]

Disclaimer: The opinions expressed by Mary Pommerich are her own and not necessarily those of the Department of Defense or the United States Government.

ETS, GRE, Praxis and TOEFL are registered trademarks of Educational Testing Service (ETS). CLEP, COLLEGE BOARD, PSAT/NMSQT, and SAT are registered trademarks of College Board. SAT REASONING TEST is a trademark of College Board. ACT is a registered trademark of ACT, Inc. in the U.S.A. and other countries. Library of Congress Control Number: 2007920470 ISBN-10: 0-387-49770-6 ISBN-13: 978-0-387-49770-9

e-ISBN-10: 0-387-49771-4 e-ISBN-13: 978-0-387-49771-6

Printed on acid-free paper.  C

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Dedication

To Kirsten. —N. J. D. To Bob and Mellita —M. P. To Martha —P. W. H.

Foreword

In their pr