Longitudinal Categorical Data Analysis
This is the first book in longitudinal categorical data analysis with parametric correlation models developed based on dynamic relationships among repeated categorical responses. This book is a natural generalization of the longitudinal binary data analys
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Brajendra C. Sutradhar
Longitudinal Categorical Data Analysis
Springer Series in Statistics Series Editors Peter Bickel, CA, USA Peter Diggle, Lancaster, UK Stephen E. Fienberg, Pittsburgh, PA, USA Ursula Gather, Dortmund, Germany Ingram Olkin, Stanford, CA, USA Scott Zeger, Baltimore, MD, USA
More information about this series at http://www.springer.com/series/692
Brajendra C. Sutradhar
Longitudinal Categorical Data Analysis
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Brajendra C. Sutradhar Department of Mathematics and Statistics Memorial University of Newfoundland St. John’s, NL, Canada
ISSN 0172-7397 ISSN 2197-568X (electronic) ISBN 978-1-4939-2136-2 ISBN 978-1-4939-2137-9 (eBook) DOI 10.1007/978-1-4939-2137-9 Springer New York Heidelberg Dordrecht London Library of Congress Control Number: 2014950422 © Springer Science+Business Media New York 2014 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Exempted from this legal reservation are brief excerpts in connection with reviews or scholarly analysis or material supplied specifically for the purpose of being entered and executed on a computer system, for exclusive use by the purchaser of the work. Duplication of this publication or parts thereof is permitted only under the provisions of the Copyright Law of the Publisher’s location, in its current version, and permission for use must always be obtained from Springer. Permissions for use may be obtained through RightsLink at the Copyright Clearance Center. Violations are liable to prosecution under the respective Copyright Law. The use of general descriptive names, registered names, trademarks, service marks, etc. in this publication does not imply, even in the absence of a specific statement, that such names are exempt from the relevant protective laws and regulations and therefore free for general use. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Printed on acid-free paper Springer is part of Springer Science+Business Media (www.springer.com)
To Bhagawan Sri Sathya Sai Baba my Guru for teaching me over the years to do my works with love. Bhagawan Baba says that the works done with hands must be in harmony with sanctified thoughts and words; such hands, in fact, are holier than lips that pray.
Preface
Categorical data, whether categories are nominal or ordinal, consist of multinomial responses along with suitable covariates from a la
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