Advances in Statistical Methods for the Health Sciences Applications

Statistical methods have become increasingly important and now form integral part of research in the health sciences. Many sophisticated methodologies have been developed for specific applications and problems. This self-contained volume, an outgrowt

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Series Editor N. Balakrishnan McMaster University Department of Mathematics and Statistics 1280 Main Street West Hamilton, Ontario L8S 4K1 Canada

Editorial Advisory Board Max Engelhardt EG&G Idaho, Inc. Idaho Falls, ID 83415 Harry F. Martz Group A-1 MS F600 Los Alamos National Laboratory Los Alamos, NM 87545 Gary C. McDonald NAO Research & Development Center 30500 Mound Road Box 9055 Warren, MI 48090-9055 Kazuyuki Suzuki Communication & Systems Engineering Department University of Electro Communications 1-5-1 Chofugaoka Chofu-shi Tokyo 182 Japan

Advances in Statistical Methods for the Health Sciences Applications to Cancer and AIDS Studies, Genome Sequence Analysis, and Survival Analysis

Jean-Louis Auget N. Balakrishnan Mounir Mesbah Geert Molenberghs Editors

Birkh¨auser Boston • Basel • Berlin

Jean-Louis Auget UFR of Pharmaceutical Sciences 1 rue Gaston Veil 44035 Nantes Cedex 1 France

N. Balakrishnan Department of Mathematics and Statistics McMaster University 1280 Main Street West Hamilton, Ontario L8S 4K1 Canada

Mounir Mesbah Laboratoire de Statistique Th´eorie et Appliqu´ee Universit´e Pierre et Marie Curie 175 rue de Chevaleret 75013 Paris France

Geert Molenberghs Center for Statistics Hasselt University Agoralaan–Building D 3590 Diepenbeek Belgium

Mathematics Subject Classification: 62K99, 62L05, 62N01, 62N02, 62N03, 62P10, 62P12 Library of Congress Control Number: 2006934773 ISBN-10: 0-8176-4368-0 ISBN-13: 978-0-8176-4368-3

e-ISBN-10: 0-8176-4542-X e-ISBN-13: 978-0-8176-4542-7

Printed on acid-free paper. c 2007 Birkh¨auser Boston  All rights reserved. This work may not be translated or copied in whole or in part without the written permission of the publisher (Birkh¨auser Boston, c/o Springer Science+Business Media LLC, 233 Spring Street, New York, NY 10013, USA), 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 in this publication of trade names, trademarks, service marks and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights.

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(Ham)

Contents

Preface Contributors List of Tables List of Figures

xix xxi xxix xxxv

Part I: Prognostic Studies and General Epidemiology 1 Systematic Review of Multiple Studies of Prognosis: The Feasibility of Obtaining Individual Patient Data D. G. Altman, M. Trivella, F. Pezzella, A. L. Harris, and U. Pastorino 1.1 Introduction 3 1.2 Systematic Review Based on Individual Patient Data 5 1.3 A Case Study: Microvessel Density in Non-Small Cell Lung Cancer 6 1.3.1 Identifying studies (data sets) and obtaining the data 7 1.3.2 Checking the data 9 1.3.3 MVD measurements 11 1.3.4 Meta-analysis 12 1.4 Discussion 12 1.4.1 Systematic review of prognostic studies using individual patient data 13 1.