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Epidemiology and Biostatistics An Introduction to Clinical Research Bryan Kestenbaum Second Edition 123 Epidemiology and Biostatistics Bryan Kestenbaum Epidemiology and Biostatistics An Introduction to Clinical Research Second Edition Editors Noel S. Weiss, MD PhD Department of Epidemiology University of Washington Seattle, WA USA Abigail Shoben, PhD Biostatistics, College of Public Health The Ohio State University Columbus, OH USA Bryan Kestenbaum, MD, MS Division of Nephrology Department of Medicine University of Washington Seattle, WA USA ISBN 978-3-319-96642-7 ISBN 978-3-319-96644-1 (eBook) https://doi.org/10.1007/978-3-319-96644-1 Library of Congress Control Number: 2018955511 © Springer Nature Switzerland AG 2009, 2019 This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. The use of general descriptive names, registered names, trademarks, service marks, 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. The publisher, the authors, and the editors are safe to assume that the advice and information in this book are believed to be true and accurate at the date of publication. Neither the publisher nor the authors or the editors give a warranty, express or implied, with respect to the material contained herein or for any errors or omissions that may have been made. The publisher remains neutral with regard to jurisdictional claims in published maps and institutional affiliations. This Springer imprint is published by the registered company Springer Nature Switzerland AG The registered company address is: Gewerbestrasse 11, 6330 Cham, Switzerland Preface This textbook was originally created from a disparate collection of materials used to teach Epidemiology and Biostatistics to second-year medical students at the University of Washington. These materials included handouts, practice problems, guides to reading journal articles, quizzes, notes from student help sessions, and student emails. The primary goal of these materials, and now this book, is to recre- ate the perspective of learning Epidemiology and Biostatistics for the first time. With critical editing assistance from Epidemiology faculty, graduate students in Epidemiology and Biostatistics, and the students themselves, I have tried to pre- serve the innate logic and connectedness of clinical research methods and demon- strate their application. The textbook is intended to provide students with the tools necessary to form their own informed conclusions from research studies. More than ever, a clear understanding of the fundamental aspects of Epidemiology and Biostatistics is needed to successfully navigate the increasingly complex methods used by modern research studies. The appetite for studies of human health has grown at a rapid pace; yet, the interpretation of findings obtained from these studies has not always keep pace. In this second edition, I have tried to further clarify concepts that are most diffi- cult for students and provide a more logical structure to the material. Many new examples have been added throughout the textbook to reenforce these concepts. This book could not have been created without the dedicated help of the editors, the teaching assistants, and most importantly the students, who asked the important questions. I would especially like to thank my family who patiently allowed me so much time to write. Seattle, WA, USA Bryan Kestenbaum, MD, MS v Contents Part I Epidemiology 1 Causal Relationships in Health and Disease . . . . . . . . . . . . . . . . . . . . . . 3 1.1 Inferring Causation from Epidemiologic Studies . . . . . . . . . . . . . . . 6 1.2 Factors Favoring an Inference of Causation . . . . . . . . . . . . . . . . . . . 7 1.2.1 Evidence Arising from Randomized Studies . . . . . . . . . . . . . 7 1.2.2 Strength of Association . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.3 Temporal Relationship . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 8 1.2.4 Exposure-Varying Association . . . . . . . . . . . . . . . . . . . . . . . . 9 1.2.5 Biological Plausibility . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 10 2 Basic Measures of Disease Frequency . . . . . . . . . . . . . . . . . . . . . . . . . . . 11 2.1 Prevalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.1.1 Definition of Prevalence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 12 2.1.2 Applications of Prevalence Data . . . . . . . . . . . . . . . . . . . . . . 12 2.1.3 Limitation of Prevalence Measures . . . . . . . . . . . . . . . . . . . . 13 2.2 Incidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2.1 Definitions of Incidence . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 13 2.2.2 Applications of Incidence Data . . . . . . . . . . . . . . . . . . . . . . . 16 2.3 Relationship Between Prevalence and Incidence . . . . . . . . . . . . . . . . 17 2.4 Stratification of Disease Frequencies by Person, Place, and Time . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.4.1 Measures of Disease Frequency Stratified by Characteristics of Person. . . . . . . . . . . . . . . . . . . . . . . . . . 18 2.4.2 Measures of Disease Frequency Stratified by Characteristics of Place . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 2.4.3 Measures of Disease Frequency Stratified by Characteristics of Time . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 19 vii viii Contents 3 General Considerations in Epidemiologic Research . . . . . . . . . . . . . . . 21 3.1 Interventional Versus Observational Study Designs . . . . . . . . . . . . . 22 3.1.1 Interventional Studies Can Isolate the Causal Impact of Specific Treatments . . . . . . . . . . . . . . . . . . . . . . . . 22 3.1.2 Interventional Studies Are Limited to Evaluation of Specific Treatments and Diseases . . . . . . . . . . . . . . . . . . . 24 3.1.3 The Results of Interventional Studies May Have Limited Applicability . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2 Study Population . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 25 3.2.1 Source Population . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 26 3.2.2 Exclusion Criteria . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 27 3.2.3 Where to Find Information About the Study Population in a Research Article . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.3 Exposure and Outcome . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.3.1 Definition . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 29 3.3.2 Measuring the Study Data . . . . . . . . . . . . . . . . . . . . . . . . . . . 31 3.3.3 Where to Find Information About the Exposure and Outcome in a Research Article . . . . . . . . . . . . . . . . . . . . 32 3.4 Internal and External Validity . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 32 3.5 Summary of Common Research Study Designs . . . . . . . . . . . . . . . . 33 Reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 34 4 Case Reports and Case Series . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 35 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 38 5 Cross-Sectional Studies. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 39 Reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 43 6 Cohort Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 45 6.1 Cohort Study Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 46 6.1.1 Exclusion for Prevalent Disease . . . . . . . . . . . . . . . . . . . . . . 46 6.1.2 Creation of the Cohorts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 47 6.1.3 Determination of the Outcome. . . . . . . . . . . . . . . . . . . . . . . . 48 6.2 Quality of the Exposure Measurements . . . . . . . . . . . . . . . . . . . . . . . 49 6.2.1 Are the Measurements Accurate? . . . . . . . . . . . . . . . . . . . . . 49 6.2.2 Are the Measurements Precise? . . . . . . . . . . . . . . . . . . . . . . . 50 6.2.3 Are the Measurements Applied Impartially to the Study Population? . . . . . . . . . . . . . . . . . . . . . . . . . . . . 50 6.2.4 Are the Measurements Performed at the Right Time? . . . . . . 50 6.2.5 Retrospective Versus Prospective Data Collection . . . . . . . . 51 6.3 Pharmacoepidemiology Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 51 6.4 Analysis of Cohort Study Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 53 6.4.1 Calculation of Disease Incidences Among the Cohorts . . . . . 53 6.4.2 Comparison of Disease Incidences Among the Cohorts . . . . 54 6.5 Advantages of Cohort Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 Contents ix 6.5.1 Ability to Discern Temporal Relationships Between Exposure and Disease . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 59 6.5.2 Ability to Study Multiple Outcomes . . . . . . . . . . . . . . . . . . . 59 6.6 Limitations of Cohort Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 6.6.1 Confounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 60 6.6.2 Inefficient Design for Rare Diseases and Those with a Long Latency Period . . . . . . . . . . . . . . . . . . . . . . . . . . 60 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 61 7 Case-Control Studies . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 63 7.1 Case-Control Study Design . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 64 7.2 Selection of Cases and Controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 7.2.1 Select Case Individuals Using a Specific Definition of the Disease . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 65 7.2.2 Select Case Individuals Close to the Time of Initial Disease Development . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 7.2.3 Select Control Individuals from the Same Underlying Population as the Cases . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 66 7.2.4 Select Control Individuals Who Have the Same Opportunity to Be Counted as a Case . . . . . . . . . . . . . . . . . . 67 7.2.5 Nested Case-Control Studies . . . . . . . . . . . . . . . . . . . . . . . . . 67 7.2.6 Matching . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 68 7.2.7 Number of Controls . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 7.3 Analysis of Case Control Study Data . . . . . . . . . . . . . . . . . . . . . . . . 69 7.3.1 Concept of the Odds Ratio . . . . . . . . . . . . . . . . . . . . . . . . . . . 69 7.3.2 Practical Calculation of the Odds Ratio . . . . . . . . . . . . . . . . . 72 7.3.3 Odds Ratios and Relative Risk . . . . . . . . . . . . . . . . . . . . . . . . 72 7.4 Advantages of Case Control Studies . . . . . . . . . . . . . . . . . . . . . . . . . 74 7.4.1 Ideal for Studying Rare Diseases and Those with a Long Latency Period . . . . . . . . . . . . . . . . . . . . . . . . . . 74 7.4.2 Efficiency . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 75 7.4.3 Evaluation of Multiple Exposures . . . . . . . . . . . . . . . . . . . . . 76 7.5 Limitations of Case Control Studies . . . . . . . . . . . . . . . . . . . . . . . . . 76 7.5.1 Confounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 7.5.2 Requires Ascertainment of Previous Exposures in Retrospect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 76 7.5.3 Inability to Directly Determine the Incidence of Disease . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 78 8 Randomized Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 79 8.1 Rationale for Randomized Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . 80 8.2 General Design of Randomized Trials . . . . . . . . . . . . . . . . . . . . . . . . 82 8.3 Trial Populations . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 82 8.3.1 Definition of the Target Condition . . . . . . . . . . . . . . . . . . . . . 83 x Contents 8.3.2 Exclusion of People Suspected to Have Difficulty Adhering to the Study Treatments . . . . . . . . . . . . . . . . . . . . . 83 8.3.3 Exclusion of People Who Have Comorbid Conditions . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 8.3.4 Exclusion of People Who Are Already Receiving the Study Treatment . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 84 8.3.5 Exclusion for Safety . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 85 8.3.6 Broadly Inclusive Healthcare Settings Promote Applicability of Trial Results . . . . . . . . . . . . . . . . . . . . . . . . . 86 8.4 Interventions and Control Procedures . . . . . . . . . . . . . . . . . . . . . . . . 86 8.4.1 Intervention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 8.4.2 Control Procedures. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 86 8.5 Outcomes of Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 8.5.1 Capture Important Benefits and Harms of the Intervention . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 88 8.5.2 Types of Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 8.5.3 Mortality Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 89 8.5.4 Surrogate Outcomes . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 90 8.5.5 Premature Termination of Trials . . . . . . . . . . . . . . . . . . . . . . 90 8.6 Procedures to Promote Internal Validity of Trials . . . . . . . . . . . . . . . 91 8.6.1 Randomization . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 91 8.6.2 Blinding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 92 8.6.3 Concealment of Treatment Allocation . . . . . . . . . . . . . . . . . . 93 8.6.4 Efficacy and Effectiveness . . . . . . . . . . . . . . . . . . . . . . . . . . . 93 8.6.5 Trial Reporting . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 8.7 Specific Trial Designs . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 8.7.1 Factorial Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 94 8.7.2 Crossover Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 95 8.7.3 Phases of Drug Development . . . . . . . . . . . . . . . . . . . . . . . . . 98 8.8 Analysis of Clinical Trial Data . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 8.8.1 Measures of Effect . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 100 8.8.2 Intention-To-Treat Analysis . . . . . . . . . . . . . . . . . . . . . . . . . . 103 8.8.3 Subgroup Analyses. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 105 8.9 Limitations of Randomized Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 8.9.1 Limited External Validity (Applicability) of the Trial Population . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 8.9.2 Limited External Validity (Applicability) of the Trial Environment . . . . . . . . . . . . . . . . . . . . . . . . . . . . 108 8.9.3 Narrow Study Question . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 8.9.4 Randomized Design Accounts Only for Confounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 109 8.9.5 Negative Trials . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 110 Contents xi 9 Misclassification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 113 9.1 Definition of Miscalculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 114 9.2 Non-differential Miscalculation . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 115 9.2.1 Non-differential Misclassification of the Exposure . . . . . . . . 115 9.2.2 Non-differential Misclassification of the Outcome . . . . . . . . 118 9.2.3 Summary of Non-differential Misclassification . . . . . . . . . . . 120 9.3 Differential Misclassification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 120 9.3.1 Differential Misclassification of the Exposure. . . . . . . . . . . . 120 9.3.2 Differential Misclassification of the Outcome . . . . . . . . . . . . 122 9.3.3 Summary of Differential Misclassification . . . . . . . . . . . . . . 122 9.4 Assessment of Misclassification in Research Articles . . . . . . . . . . . . 123 Reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 124 10 Confounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 125 10.1 Confounding Obscure Understanding of Causal Relationships . . . . 125 10.2 Evaluation of a Potential Confounding Characteristic . . . . . . . . . . . 127 10.2.1 Confounding Characteristic Associated with the Exposure 127 10.2.2 Confounding Characteristic Associated with the Outcome 129 10.2.3 C onfounding Characteristic Not on the Causal Pathway of Association 129 10.2.4 Evaluation of Confounding Characteristics in Research Articles 131 10.3 Residual Confounding . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 10.4 Confounding by Indication . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 133 10.5 Methods to Control for Confounding . . . . . . . . . . . . . . . . . . . . . . . 134 10.5.1 Method of Restriction 135 10.5.2 Method of Stratification plus Adjustment 136 10.5.3 Method of Matching 139 10.5.4 Method of Regression 141 10.6 Interpreting Results After Adjustment for Confounding . . . . . . . . . 141 Reference . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 142 11 Effect Modification . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 143 11.1 Concept of Effect Modification . . . . . . . . . . . . . . . . . . . . . . . . . . . . 144 11.2 Evaluation of Effect Modification . . . . . . . . . . . . . . . . . . . . . . . . . . 146 11.2.1 C riteria for Assessing the Presence of Effect Modification 147 11.2.2 S tatistical Considerations for Evaluating Effect Modification 148 11.3 Effect Modification and Confounding Are Distinct Concepts . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 152 11.4 Effect Modification on the Relative and Absolute Scales . . . . . . . . 154 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 155

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