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Stage-Wise Adaptive Designs (Wiley Series in Probability and Statistics) PDF

412 Pages·2009·4.41 MB·English
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STAGE-WISE ADAPTIVE DESIGNS SHELEMYAHU ZACKS WILEY A JOHN WILEY & SONS, INC., PUBLICATION This Page Intentionally Left Blank STAGE-WISE ADAPTIVE DESIGNS WILEY SERIES IN PROBABILITY AND STATISTICS Established by WALTER A. SHEWHART and SAMUEL S. WILKS Editors: David J. Balding, Noel A. C. Cressie, Garrett M. Fitzmaurice, Harvey Goldstein, Iain M. Johnstone, Geert Molenberghs, David W. Scott, Adrian F. M. Smith, Ruey S. Tsay, Sanford Weisberg Editors Emeriti: Vic Barnett, J. Stuart Hunter, JozefL. Teugels A complete list of the titles in this series appears at the end of this volume. STAGE-WISE ADAPTIVE DESIGNS SHELEMYAHU ZACKS WILEY A JOHN WILEY & SONS, INC., PUBLICATION S-PLUS® is a registered trademark of the Insightful Corporation. Copyright © 2009 John Wiley & Sons, Inc. All rights reserved. Published by John Wiley & Sons, Inc., Hoboken, New Jersey Published simultaneously in Canada No part of this publication may be reproduced, stored in a retrieval system, or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning, or otherwise, except as per- mitted under Section 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, Inc., 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 750-4470, or on the web at www.copyright.com. Requests to the Publisher for permission should be ad- dressed to the Permissions Department, John Wiley & Sons, Inc., 111 River Street, Hoboken, NJ 07030, (201) 748-6011, fax (201) 748-6008, or online at http://www.wiley.com/go/permission. Limit of Liability/Disclaimer of Warranty: While the publisher and author have used their best efforts in preparing this book, they make no representations or warranties with respect to the accuracy or com- pleteness of the contents of this book and specifically disclaim any implied warranties of merchantability or fitness for a particular purpose. No warranty may be created or extended by sales representatives or written sales materials. The advice and strategies contained herein may not be suitable for your situation. You should consult with a professional where appropriate. Neither the publisher nor author shall be li- able for any loss of profit or any other commercial damages, including but not limited to special, inciden- tal, consequential, or other damages. For general information on our other products and services or for technical support, please contact our Customer Care Department within the United States at (.800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic formats. For more information about Wiley products, visit our web site at www.wiley.com. Library of Congress Cataloging-in-Publication Data: Zacks, Shelemyahu, 1932- Stage-wise adaptive designs / Shelemyahu Zacks. p.; cm. — (Wiley series in probability and statistics) Includes bibliographical references and indexes. ISBN 978-0-470-05095-8 (cloth) 1. Medicine—Research—Statistical methods. 2. Medical statistics. 3. Statistics. I. Title. II. Series. [DNLM: 1. Models, Statistical. 2. Clinical Trials as Topic. WA 950 Z 16s 2009] R853.S7Z33 2009 610.72—<k22 2008047059 Printed in the United States of America 10 9 8 7 6 5 4 3 21 To My Wife, Hanna, for her love, support, and encouragement This Page Intentionally Left Blank CONTENTS Preface Synopsis 1 1.1 Multistage and Sequential Estimation 1 1.2 Adaptive Designs for Generalized Linear Models 3 1.3 Adaptive Methods for Sampling from Finite Populations 5 1.4 Adaptive Prediction and Forecasting in Time Series Analysis 6 1.5 Adaptive Search of an MTD in Cancer Phase I Clinical Trials 7 1.6 Adaptive and Sequential Procedures in Phase III Clinical Trials 9 1.7 Sequential Allocation of Resources 10 1.8 Sequential Detection of Change Points 12 1.9 Sequential Methods in Industrial Testing, Reliability, and Design of Experiments 13 Multistage and Sequential Estimation 15 vii

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An expert introduction to stage-wise adaptive designs in all areas of statisticsStage-Wise Adaptive Designs presents the theory and methodology of stage-wise adaptive design across various areas of study within the field of statistics, from sampling surveys and time series analysis to generalized li
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