Item Response Theory Principles and Applications
In the decade of the 1970s, item response theory became the dominant topic for study by measurement specialists. But, the genesis of item response theory (IRT) can be traced back to the mid-thirties and early forties. In fact, the term "Item Characteristi
- PDF / 35,441,067 Bytes
- 340 Pages / 396.24 x 612.24 pts Page_size
- 92 Downloads / 382 Views
Evaluation in Education and Human Services series
Editors:
George F. Madaus, Boston College Daniel L. Stufflebeam, Western Michigan University
Previously published: Kellaghan, Thomas; Madaus, George F.; Airasian, Peter W.: THE EFFECTS OF STANDARDIZED TESTING Madaus, George F.: THE COURTS, VALIDITY AND MINIMUM COMPETENCY TESTING Madaus, George F.; Scriven, Michael S.; Stufflebeam, Daniel L.: EV.ALUATION MODELS: VIEWPOINTS'ON EDUCATIONAL AND HUMAN SERVICES EVALUATION Brinkerhoff, Robert 0.; Brethower, Dale M.; Hluchyj, Terry; Nowakowski, Jeri Ridings: PROGRAM EVALUATION: A PRACTITIONER'S GUIDE FOR TRAINERS AND EDUCATORS, A SOURCEBOOK/CASEBOOK Brinkerhoff, Robert 0,; Brethower, Dale M.; Hluchyj, Terry; Nowakowski, Jeri Ridings: PROGRAM EVALUATION: A PRACTITIONER'S GUIDE FOR TRAINERS AND EDUCATORS, A SOURCEBOOK Brinkerhoff, Robert 0.; Brethower, Dale M.; Hluchyj, Terry; Nowakowski, Jeri Ridings: PROGRAM EVALUATION: A PRACTITIONER'S GUIDE FOR TRAINERS AND EDUCATORS, A DESIGN MANUAL
Item Response Theory Principles and Applications
Ronald K. Hambleton Hariharan Swaminathan
Springer Science+Business Media, LLC
Ubrary of Congress Cataloging in Publication Data Hambleton, Ronald K. Item response t heory. (Evaluation in education and human services) lncludes bibliographical references and index. 1. Item response theory. 1. Swaminathan, Hariharan. 11. Title. III. Series. BF176.H35 1984 150'.28'7 83-11385 ISBN 978-90-481-5809-6 ISBN 978-94-017-1988-9 (eBook) DOI 10.1007/978-94-017-1988-9 Copyright © 1985 by Springer Science+Business Media New York Originally published by Kluwer· Nijhoff Publishing in 1985 Softcover reprint of the hardcover 1st edition 1991 No part of this book may be reproduced in any form by print, photoprint, microfilm, or any other means without written permission of the publisher.
To Else and Fran
Contents
List of Figures Preface
xi xv
1 Some Background to Item Response Theory 1.1 Shortcomings of Standard Testing Methods 1.2 Historical Perspective 1.3 Item Response Theory 1.4 Features of Item Response Models 1.5 Summary
1 1 4 9 11 13
2
Assumptions of Item Response Theory 2.1 Introduction 2.2 Dimensionality of the Latent Space 2.3 Local Independence 2.4 Item Characteristic Curves 2.5 Speededness 2.6 Summary
15 15 17 23 26 31 31
3 Item Response Models 3.1 Introduction 3.2 Nature of the Test Data 3.3 Commonly-Used Item Response Models 3.4 Summary
33 33 33 34 52
4 Ability Scales 4.1 Introduction 4.2 Definition of Ability and Transformation of the Ability Scale 4.3 Relation of Ability Scores to Domain Scores 4.4 Relationship between Ability Distribution and Domain Score Distribution 4.5 Relationship between Observed Domain Score and Ability
53 53 54 61 62 65
vii
viii 4.6 4.7 4.8 4.9
ITEM RESPONSE THEORY
Relationship between Predicted Observed Score Distribution and Ability Distribution Perfect Scores Need for Validity Studies Summary
5
Estimation of Ability 5.1 Introduction 5.2 The Likelihood Function 5.3 Conditional Maximum Likelihood Estimation of Ability 5.4 Properties of Maxim
