Introducing USREL ISM Introducing Statistical Methods Series editor: Daniel B. Wright, University of Bristol This series provides accessible but in-depth introductions to statistical methods that are not covered in any detail in standard introductory courses. The books are aimed both at the beginning researcher who needs to know how to use a particular technique and the established researcher who wishes to keep up to date with recent developments in statistical data analysis. Editorial board Glynis Breakwell, University of Surrey Jan de Leeuw, University of California, Los Angeles Colm O'Muircheartaigh, London School of Economics Willem Saris, Universiteit van Amsterdam Howard Schuman, University of Michigan Karl van Meter, Centre National de la Recherche Scientifique, Paris Other titles in this series Introducing Social Networks Alain Degenne and Michel Forse Introducing Multilevel Modeling Ita Kreft and Jan de Leeuw Introducing ANOVA and ANCOVA: A GLM Approach Andrew Rutherford Introducing LISREL A Guide for the Uninitiated ADAMANTIOS DIAMANTOPOULOS JUDY A. SIGUAW SAGE Publications London · Thousand Oaks · New Delhi © Adamantios Diamantopoulos and Judy Siguaw 2000 First published 2000 Apart from any fair dealing for the purposes of research or private study, or criticism or review, as permitted under the Copyright, Designs and Patents Act 1988, this publication may be reproduced, stored or transmitted in any form, or by any means, only with the prior permission in writing of the publishers or, in the case of reprographic reproduction, in accordance with the terms of licences issued by the Copyright Licensing Agency. Inquiries concerning reproduction outside those terms should be sent to the publishers. SAGE Publications Ltd � tf\ 6 Bonhill Street � London EC2A 4PU � SAGE Publications Inc. � 2455 Teller Road � Thousand Oaks, California 91320 � SAGE Publications India Pvt Ltd � 32, M-Block Market � Greater Kailash - I � New Delhi 110 048 � British Library Cataloguing in Publication data A catalogue record for this book is available from the British Library ISBN 0 7619 5170 9 ISBN 0 7619 5171 7 (pbk) Library of Congress catalog card number is available Typeset by Mayhew Typesetting, Rhayader, Powys Printed in Great Britain by Athenaeum Press, Gateshead To Heidi, Holly, Winkie and Legend for making me happy Adamantios Diamantopoulos To my husband and my daughters for all their support and encouragement Judy Siguaw CONTENTS About the authors ix Preface xi Acknowledgements xiii 1 WHAT IS LISREL ALL ABOUT? 1 A brief background 4 Sequential steps in LISREL modeling 6 APPENDIX 1A Variance and covariance 10 APPENDIX IB Implied covariance matrix 1 1 2 MODEL CONCEPTUALIZATION 13 APPENDIX 2A Reflective and formative indicators 21 3 PATH DIAGRAM CONSTRUCTION 22 APPENDIX 3A Path diagram construction for a LISREL model 28 4 MODEL SPECIFICATION 30 APPENDIX 4A Covariance matrix to be analyzed 41 APPENDIX 4B Direct entry of covariance matrix into the SIMPLIS input file 42 APPENDIX 4C Selected output from SIMPLIS input file for illustrative model 43 APPENDIX 4D Parameter matrices of a comprehensive LISREL model 45 APPENDIX 4E Illustrative model in matrix form 46 5 MODEL IDENTIFICATION 48 6 PARAMETER ESTIMATION 55 Reading the program output: SIMPLIS format 57 Reading the program output: LISREL format 62 VIM CONTENTS APPENDIX 6A Estimation problems 76 APPENDIX 6B Path diagram as produced by LISREL 8 program 79 APPENDIX 6C Standardized and completely standardized indirect and total effects 80 7 ASSESSMENT OF MODEL FIT 82 Overall fit assessment 82 Assessment of measurement model 89 Assessment of structural model 92 Power assessment 93 APPENDIX 7A Different types of discrepancy in evaluating a LISREL model 101 8 MODEL MODIFICATION 102 Specification searches 103 Diagnostics for model modification 105 Modification of illustrative model: fit improvement 1 1 8 Modification of illustrative model: model simplification 1 22 9 MODEL CROSS-VALIDATION 129 Cross-validating the illustrative model (final version) 1 31 Cross-validation and model comparison 1 35 Equivalent models 1 38 APPENDIX 9A SIMPLIS input file for validation sample 142 10 AN INTRODUCTION TO PRELIS 2 143 APPENDIX 10A Thresholds for ordinal variables 156 References 157 Index 167 ABOUT THE AUTHORS Adamantios Diamantopoulos (BA, MSc, PhD, MCIM, MMRS) holds the chair of Marketing and Business Research and is Research Director of Loughborough University Business School. Previously he held the Chair of International Marketing at the European Business Management School, University of Wales Swansea, where he headed the Marketing Group. He has held full-time appointments at the University of Edinburgh and the University of Strathclyde and Visiting Professorships at the University of Miami, Vienna University of Economics and Business, Universite Robert Schuman (Strasbourg) and University of Dortmund. During 1997-99 he was also the Nestle Visiting Research Professor of Consumer Marketing at Lund University, Sweden. His research interests are in pricing, sales fore- casting, marketing research and international marketing and he is the author/co-author of some 160 publications in these areas. He has presented his research at more than 60 international conferences and has been the recipient of several Best Paper Awards. His work has appeared, among others, in the International Journal of Research in Marketing, Journal of Business Research, International Journal of Forecasting, Journal of Inter national Marketing, Journal of the Market Research Society, Journal of Strategic Marketing, European Journal of Marketing and Journal of Marketing Management. He sits on the editorial review boards of eight marketing journals, is the UK Country Coordinator for the European Marketing Academy (EMAC), a founder member of the Consortium for International Marketing Research (CIMaR), Associate Editor of the Inter national Journal of Research in Marketing, and a referee for several academic journals, professional associations and funding bodies. He is also a member of the Senate of the Chartered Institute of Marketing (CIM). Judy A. Siguaw is an Associate Professor of Marketing in the School of Hotel Administration at Cornell University. Prior to entering academia, Dr Siguaw spent ten years in the corporate environment, including a stint as a sales representative with General Foods Corporation, a subsidiary of Philip Morris. She has published numerous journal articles including those appear- ing in the Journal of Marketing Research, Journal of Marketing, Journal of the Academy of Marketing Science, Journal of Strategic Marketing, Industrial Management, Journal of Business Ethics and the Cornell Hotel and Restaur ant Administration Quarterly. She is co-author of Marketing: Best Practices and American Lodging Excellence: The Key To Best Practices in The U.S. Lodging Industry. She is also a contributor to four other textbooks and the author/co-author of 25 national and international conference papers. She