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Clinical Trial Data Analysis Using R (Chapman & Hall CRC Biostatistics Series) PDF

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Clinical Trial Data Analysis Using R Editor-in-Chief Shein-Chung Chow, Ph.D. Professor Department of Biostatistics and Bioinformatics Duke University School of Medicine Durham, North Carolina Series Editors Byron Jones Jen-pei Liu Senior Director Professor Statistical Research and Consulting Centre Division of Biometry (IPC 193) Department of Agronomy Pfizer Global Research and Development National Taiwan University Sandwich, Kent, U.K. Taipei, Taiwan Karl E. Peace Bruce W. Turnbull Georgia Cancer Coalition Professor Distinguished Cancer Scholar School of Operations Research Senior Research Scientist and and Industrial Engineering Professor of Biostatistics Cornell University Jiann-Ping Hsu College of Public Health Ithaca, New York Georgia Southern University Statesboro, Georgia Adaptive Design Theory and Implementation DNA Microarrays and Related Genomics Using SAS and R, Mark Chang Techniques: Design, Analysis, and Interpretation of Experiments, David B. Allsion, Grier P. Page, Advances in Clinical Trial Biostatistics, T. Mark Beasley, and Jode W. Edwards Nancy L. Geller Elementary Bayesian Biostatistics, Applied Statistical Design for the Researcher, Lemuel A. Moyé Daryl S. Paulson Frailty Models in Survival Analysis, Basic Statistics and Pharmaceutical Statistical Andreas Wienke Applications, Second Edition, James E. De Muth Handbook of Regression and Modeling: Bayesian Adaptive Methods for Clinical Trials, Applications for the Clinical and Pharmaceutical Scott M. Berry, Bradley P. Carlin, J. Jack Lee, Industries, Daryl S. Paulson and Peter Muller Measures of Interobserver Agreement and Bayesian Methods for Measures of Agreement, Reliability, Second Edition, Lyle D. Broemeling Mohamed M. Shoukri Bayesian Missing Data Problems: EM, Data Medical Biostatistics, Second Edition, Augmentation and Noniterative Computation, A. Indrayan Ming T. Tan, Guo-Liang Tian, and Kai Wang Ng Meta-Analysis in Medicine and Health Policy, Bayesian Modeling in Bioinformatics, Dalene Generalized Linear Models: A Bayesian Dipak K. Dey, Samiran Ghosh, and Bani K. Mallick Perspective, Dipak K. Dey, Sujit K. Ghosh, and Causal Analysis in Biomedicine and Bani K. Mallick Epidemiology: Based on Minimal Sufficient Monte Carlo Simulation for the Pharmaceutical Causation, Mikel Aickin Industry: Concepts, Algorithms, and Case Clinical Trial Data Analysis using R, Studies, Mark Chang Ding-Geng (Din) Chen and Karl E. Peace Multiple Testing Problems in Pharmaceutical Clinical Trial Methodology, Karl E. Peace and Statistics, Alex Dmitrienko, Ajit C. Tamhane, Ding-Geng (Din) Chen and Frank Bretz Computational Methods in Biomedical Research, Sample Size Calculations in Clinical Research, Ravindra Khattree and Dayanand N. Naik Second Edition, Shein-Chung Chow, Jun Shao, Computational Pharmacokinetics, Anders Källén and Hansheng Wang Data and Safety Monitoring Committees in Statistical Design and Analysis of Stability Clinical Trials, Jay Herson Studies, Shein-Chung Chow Design and Analysis of Animal Studies in Statistical Methods for Clinical Trials, Pharmaceutical Development, Mark X. Norleans Shein-Chung Chow and Jen-pei Liu Statistics in Drug Research: Methodologies and Design and Analysis of Bioavailability and Recent Developments, Shein-Chung Chow and Bioequivalence Studies, Third Edition, Jun Shao Shein-Chung Chow and Jen-pei Liu Statistics in the Pharmaceutical Industry, Third Design and Analysis of Clinical Trials with Time- Edition, Ralph Buncher and Jia-Yeong Tsay to-Event Endpoints, Karl E. Peace Translational Medicine: Strategies and Difference Equations with Public Health Statistical Methods, Dennis Cosmatos and Applications, Lemuel A. Moyé and Shein-Chung Chow Asha Seth Kapadia DNA Methylation Microarrays: Experimental Design and Statistical Analysis, Sun-Chong Wang and Arturas Petronis Clinical Trial Data Analysis Using R Ding-Geng (Din) Chen Jiann-Ping Hsu College of Public Health Georgia Southern University Statesboro, Georgia Karl E. Peace Jiann-Ping Hsu College of Public Health Georgia Southern University Statesboro, Georgia MATLAB® is a trademark of The MathWorks, Inc. and is used with permission. The MathWorks does not warrant the accuracy of the text or exercises in this book. This book’s use or discussion of MAT- LAB® software or related products does not constitute endorsement or sponsorship by The MathWorks of a particular pedagogical approach or particular use of the MATLAB® software. CRC Press Taylor & Francis Group 6000 Broken Sound Parkway NW, Suite 300 Boca Raton, FL 33487-2742 © 2011 by Taylor and Francis Group, LLC CRC Press is an imprint of Taylor & Francis Group, an Informa business No claim to original U.S. Government works Printed in the United States of America on acid-free paper 10 9 8 7 6 5 4 3 2 1 International Standard Book Number-13: 978-1-4398-4021-4 (Ebook-PDF) This book contains information obtained from authentic and highly regarded sources. Reasonable efforts have been made to publish reliable data and information, but the author and publisher cannot assume responsibility for the validity of all materials or the consequences of their use. The authors and publishers have attempted to trace the copyright holders of all material reproduced in this publication and apologize to copyright holders if permission to publish in this form has not been obtained. If any copyright material has not been acknowledged please write and let us know so we may rectify in any future reprint. Except as permitted under U.S. Copyright Law, no part of this book may be reprinted, reproduced, transmitted, or utilized in any form by any electronic, mechanical, or other means, now known or hereafter invented, including photocopying, microfilming, and recording, or in any information stor- age or retrieval system, without written permission from the publishers. For permission to photocopy or use material electronically from this work, please access www.copy- right.com (http://www.copyright.com/) or contact the Copyright Clearance Center, Inc. (CCC), 222 Rosewood Drive, Danvers, MA 01923, 978-750-8400. CCC is a not-for-profit organization that pro- vides licenses and registration for a variety of users. For organizations that have been granted a pho- tocopy license by the CCC, a separate system of payment has been arranged. Trademark Notice: Product or corporate names may be trademarks or registered trademarks, and are used only for identification and explanation without intent to infringe. Visit the Taylor & Francis Web site at http://www.taylorandfrancis.com and the CRC Press Web site at http://www.crcpress.com Tomyparentsandparents-in-lawwhovaluehighereducationandhardwork; andtomywife,Ke,myson,JohnD.Chen,andmydaughter,JennyK.Chen, for their love and support. Din Chen To the memory of my late mother, Elsie Mae Cloud Peace; my late wife, Jiann-PingHsu;andtomyson,ChristopherK.Peace,daughter-in-lawAshley Hopkins Peace, and grandchildren, Camden and Henry. Karl E. Peace Contents Preface xvii List of Figures xxi List of Tables xxiii 1 Introduction to R 1 1.1 What is R? . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1.2 Steps on Installing R and Updating R Packages . . . . . . . . 2 1.2.1 First Step: Install R Base System . . . . . . . . . . . . 3 1.2.2 Second Step: Installing and Updating R Packages . . . 4 1.2.3 Steps to Get Help and Documentation . . . . . . . . . 4 1.3 R for Clinical Trials . . . . . . . . . . . . . . . . . . . . . . . 5 1.4 A Simple Simulated Clinical Trial . . . . . . . . . . . . . . . 7 1.4.1 Data Simulation . . . . . . . . . . . . . . . . . . . . . 7 1.4.1.1 R Functions. . . . . . . . . . . . . . . . . . . 7 1.4.1.2 Data Generation and Manipulation . . . . . 8 1.4.1.3 Basic R Graphics. . . . . . . . . . . . . . . . 10 1.4.2 Data Analysis. . . . . . . . . . . . . . . . . . . . . . . 13 1.5 Concluding Remarks . . . . . . . . . . . . . . . . . . . . . . 15 2 Overview of Clinical Trials 17 2.1 Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . 17 2.2 Phases of Clinical Trials and Objectives . . . . . . . . . . . . 18 2.2.1 Phase I Trials . . . . . . . . . . . . . . . . . . . . . . . 18 2.2.2 Phase II Trials . . . . . . . . . . . . . . . . . . . . . . 19 2.2.3 Phase III Trials . . . . . . . . . . . . . . . . . . . . . . 19 2.3 The Clinical Development Plan . . . . . . . . . . . . . . . . . 20 2.4 Biostatistical Aspects of a Protocol . . . . . . . . . . . . . . 20 2.4.1 Background or Rationale . . . . . . . . . . . . . . . . 21 2.4.2 Objective . . . . . . . . . . . . . . . . . . . . . . . . . 21 2.4.3 Plan of Study . . . . . . . . . . . . . . . . . . . . . . . 22 2.4.3.1 Study Population . . . . . . . . . . . . . . . 22 2.4.3.2 Study Design . . . . . . . . . . . . . . . . . . 22 2.4.3.3 Problem Management . . . . . . . . . . . . . 24 2.4.4 Statistical Analysis Section . . . . . . . . . . . . . . . 24 ix

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Too often in biostatistical research and clinical trials, a knowledge gap exists between developed statistical methods and the applications of these methods. Filling this gap, Clinical Trial Data Analysis Using R provides a thorough presentation of biostatistical analyses of clinical trial data and
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