Log-Linear Models

This book examines log-linear models for contingency tables. Logistic re­ gression and logistic discrimination are treated as special cases and gener­ alized linear models (in the GLIM sense) are also discussed. The book is designed to fill a niche betwee

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Log-Linear Models

Springer Science+Business Media, LLC

Ronald Christensen Department of Mathematics and Statistics University of New Mexico Albuquerque, NM 87131 USA

Editorial Board Stephen Fienberg Department of Statistics Carnegie-Mellon U niversity Pittsburgh, PA 15213 USA

Irrgram Olkin Department of Statistics Stanford University Stanford, CA 94305 USA

Mathematics Subject Classification: 62H17

Library of Congress Cataloging-in-Publication Data Christensen, Ronald R. Log-linear models / Ronald Christensen. p. cm. - (Springer texts in statistics) Includes bibliographical references and index. 1. Log-linear models. I. title. II. Series. QA278.C49 1990 519.5'35-dc20

90-42812 CIP

Printed on acid-free paper.

©

1990 by Springer Science+Business Media N ew York Originally published by Springer-Verlag New York Inc. in 1990. Softcoverreprint ofthe hardcover1st edition 1990 All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher Springer Science+Business Media, LLC, except for brief excerpts in connection with reviews or scholarly analysis. Use in connection with any form of information storage and retrieval, electronic adaptation. computer software, or by similar or dissimilar methodology now known or hereafter developed is forbidden. The use of general descriptive names, trade names, trademarks, etc., in this publication, even if the former are not especially identified, is not to be taken as a sign that such names, as understood by the Trade Marks and Merchandise Marks Act, may accordingly be used freely by anyone. Photocomposed copy prepared from the author's lffiTRXfile.

9 8 7 6 5 4 3 2 1 ISBN 978-1-4757-4113-1 ISBN 978-1-4757-4111-7 (eBook) DOI 10.1007/978-1-4757-4111-7

To Sharon and Fletch

Preface This book examines