Statistical Methods for Biostatistics and Related Fields

Biostatistics is one of the scientific fields for which the recent developments have been extremely important. It is also strongly related to other scientific disciplines involving statistical methodology. The aim of this book is to cover a wide scope of

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Wolfgang Härdle · Yuichi Mori Philippe Vieu

Statistical Methods for Biostatistics and Related Fields

With 91 Figures and 57 Tables

123

Professor Wolfgang Härdle CASE - Center for Applied Statistics and Economics Institute for Statistics and Econometrics School of Business and Economics Humboldt Universität zu Berlin Spandauer Str. 1 10178 Berlin [email protected]

Professor Yuichi Mori Department of Socio-information Okayama University of Sciences 1-l Ridai-cho 700-0005 Okayama [email protected]

Professor Philippe Vieu Laboratoire de Statistique et Probabilités Université Paul Sabatier 118 route de Narbonne 31062 Toulouse Cedex [email protected]

Library of Congress Control Number: 2006934207

ISBN-13 978-3-540-32690-8 Springer Berlin Heidelberg New York This work is subject to copyright. All rights are reserved, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilm or in any other way, and storage in data banks. Duplication of this publication or parts thereof is permitted only under the provisions of the German Copyright Law of September 9, 1965, in its current version, and permission for use must always be obtained from Springer. Violations are liable to prosecution under the German Copyright Law. Springer is part of Springer Science+Business Media springer.com © Springer-Verlag Berlin Heidelberg 2007 The use of general descriptive names, registered names, trademarks, 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. Production: LE-TEX Jelonek, Schmidt & V¨ ockler GbR, Leipzig Cover-design: Erich Kirchner, Heidelberg SPIN 11681021

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Preface Biostatistics is one of the scientific fields for which the developments during the last decades of the 20th century have been the most important. Biostatistics is a pluri-disciplinary area combining statistics and biology, but also agronomics, medicine or health sciences. It needs a good knowledge of the mathematical background inherent in statistical methodology, in order to understand the various fields of applications. The idea of this book is to present a variety of research papers on the state of art in modern biostatistics. Biostatistics is interacting with many scientific fields. To highlight this wide diversity, we deliberately put these interactions at the center of our project. Our book is therefore divided into two parts. Part I is presenting several statistical models and methods for different biologic applications, while Part II will be concerned with problems and statistical methods coming from other related scientific fields. This book intends to provide a basis for many people interested in biostatistics and related sciences. Students, teachers and academic researchers will find an overview on modelling and statistical analysis o