Handbook of Quantitative Methods for Educational Research

As part of their research activities, researchers in all areas of education develop measuring instruments, design and conduct experiments and surveys, and analyze data resulting from these activities. Educational research has a strong tradition of employi

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Handbook of Quantitative Methods for Educational Research

Edited by Timothy Teo University of Auckland, New Zealand

A C.I.P. record for this book is available from the Library of Congress.

ISBN: 978-94-6209-402-4 (paperback) ISBN: 978-94-6209-403-1 (hardback) ISBN: 978-94-6209-404-8 (e-book)

Published by: Sense Publishers, P.O. Box 21858, 3001 AW Rotterdam, The Netherlands https://www.sensepublishers.com/

Printed on acid-free paper

All Rights Reserved © 2013 Sense Publishers No part of this work may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, microfilming, recording or otherwise, without written permission from the Publisher, with the exception of any material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work.

TABLE OF CONTENTS

Foreword

vii

Section 1: Measurement Theory 1. Psychometrics Mark Wilson & Perman Gochyyev

3

2. Classical Test Theory Ze Wang & Steven J. Osterlind

31

3. Item Response Theory Xitao Fan & Shaojing Sun

45

Section 2: Methods of Analysis 4. Multiple Regression Ken Kelley & Jocelyn Holden

71

5. Cluster Analysis Christine DiStefano & Diana Mindrila 6. Multivariate Analysis of Variance: With Discriminant Function Analysis Follow-up Lisa L. Harlow & Sunny R. Duerr

103

123

7. LoGistic Regression Brian F. French, Jason C. Immekus & Hsiao-Ju Yen

145

8. Exploratory Factor Analysis W. Holmes Finch

167

9. A Brief Introduction to Hierarchical Linear Modeling Jason W. Osborne & Shevaun D. Neupert

187

10. Longitudinal Data Analysis D. Betsy McCoach, John P. Madura, Karen E. Rambo-Hernandez, Ann A. O’Connell & Megan E. Welsh

199

11. Meta-Analysis Spyros Konstantopoulos

231

12. Agent Based Modelling Mauricio Salgado & Nigel Gilbert

247 v

TABLE OF CONTENTS

13. Mediation, Moderation & Interaction: Definitions, Discrimination & (Some) Means of Testing James Hall & Pamela Sammons

267

Section 3: Structural Equation Models 14. Introduction to Confirmatory Factor Analysis and Structural Equation Modeling Matthew W. Gallagher & Timothy A. Brown

289

15. Testing Measurement and Structural Invariance: Implications for Practice 315 Daniel A. Sass & Thomas A. Schmitt 16. Mixture Models in Education George A. Marcoulides & Ronald H. Heck

347

17. Selecting SEM Computer Programs: Considerations and Comparisons Barbara Byrne

367

About the Authors

395

vi

FOREWORD

This is the age of “evidence” and all around are claims about the need for all to make evidence based decisions. Evidence, however, is not neutral and critically depends on appropriate interpretation and defensible actions in light of evidence. So often evidence is called for, collected, and then analysed with little impact. At other times we seem awash with data, soothed by advanced methods, and too easily impressed with the details that are extracted. Thus there seems a tension between the desire to make more meaning out of the aplenty data, and the n