| Introduction, Objectives, and an Alternative | p. 1 |
| Introduction | p. 1 |
| Nonrandomized Epidemiologic Research | p. 1 |
| The Treatment of Uncertainty in Nonrandomized Research | p. 2 |
| Objective | p. 3 |
| An Alternative | p. 4 |
| Heuristics | p. 5 |
| Conclusion | p. 10 |
| A Guide to Implementing Quantitative Bias Analysis | p. 13 |
| Introduction | p. 13 |
| Reducing Error | p. 13 |
| Reducing Error by Design | p. 14 |
| Reducing Error in the Analysis | p. 16 |
| Quantifying Error | p. 18 |
| When Is Quantitative Bias Analysis Valuable? | p. 18 |
| Planning for Bias Analysis | p. 20 |
| Creating a Data Collection Plan for Bias Analysis | p. 22 |
| Creating an Analytic Plan for a Bias Analysis | p. 24 |
| Bias Analysis Techniques | p. 27 |
| A Note on Inference | p. 31 |
| Conclusion | p. 32 |
| Data Sources for Bias Analysis | p. 33 |
| Bias Parameters | p. 33 |
| Internal Data Sources | p. 33 |
| Selection Bias | p. 34 |
| Unmeasured Confounder | p. 34 |
| Information Bias | p. 35 |
| Limitations of Internal Validation Studies | p. 36 |
| External Data Sources | p. 37 |
| Selection Bias | p. 38 |
| Unmeasured Confounder | p. 39 |
| Information Bias | p. 40 |
| Summary | p. 41 |
| Selection Bias | p. 43 |
| Introduction | p. 43 |
| Definitions and Terms | p. 45 |
| Conceptual | p. 45 |
| Motivation for Bias Analysis | p. 48 |
| Sources of Data | p. 48 |
| Simple Correction for Differential Initial Participation | p. 49 |
| Example | p. 49 |
| Introduction to Correction | p. 50 |
| Correction by Projecting the Exposed Proportion Among Nonparticipants | p. 51 |
| Correction Using Selection Proportions | p. 52 |
| Simple Correction for Differential Loss-to-Follow-up | p. 54 |
| Example | p. 54 |
| Correction | p. 55 |
| Unmeasured and Unknown Confounders | p. 59 |
| Introduction | p. 59 |
| Definition and Terms | p. 60 |
| Conceptual | p. 60 |
| Motivation for Bias Analysis | p. 61 |
| Sources of Data | p. 62 |
| Introduction to Simple Bias Analysis | p. 63 |
| Approach | p. 63 |
| Introduction to the Example | p. 63 |
| Bias Parameters | p. 64 |
| Implementation of Simple Bias Analysis | p. 65 |
| Ratio Measures | p. 65 |
| Example | p. 68 |
| Difference Measures | p. 71 |
| Unmeasured Confounder in the Presence of Effect Modification | p. 72 |
| Polytomous Confounders | p. 75 |
| Bounding the Bias Limits of Unmeasured Confounding | p. 76 |
| Analytic Approach | p. 77 |
| Misclassification | p. 79 |
| Introduction | p. 79 |
| Definitions and Terms | p. 80 |
| Conceptual | p. 80 |
| Calculating Classification Bias Parameters from Validation Data | p. 82 |
| Sources of Data | p. 83 |
| Bias Analysis of Exposure Misclassification | p. 85 |
| Corrections Using Sensitivity and Specificity: Nondifferential and Independent Errors | p. 87 |
| Corrections Using Predictive Values | p. 89 |
| Corrections Using Sensitivity and Specificity: Differential Independent Errors | p. 91 |
| Corrections Using Sensitivity and Specificity: Internal Validation Data | p. 91 |
| Overreliance on Nondifferential Misclassification Biasing Toward the Null | p. 93 |
| Disease Misclassification | p. 94 |
| Corrections with Sensitivity and Specificity Nondifferential and Independent Errors | p. 94 |
| Overreliance on Nondifferential Misclassification Biasing Toward the Null | p. 96 |
| Covariate Misclassification | p. 100 |
| Corrections with Sensitivity and Specificity Nondifferential and Independent Errors | p. 100 |
| Overreliance on Nondifferential Misclassification Biasing Toward the Null | p. 101 |
| Dependent Misclassification | p. 103 |
| Adjusting Standard Errors for Corrections | p. 106 |
| Standard Errors When Sensitivity and Specificity Are Used | p. 106 |
| Standard Errors When Predictive Values Are Used | p. 107 |
| Conclusions | p. 107 |
| Extensions | p. 107 |
| Limitations | p. 108 |
| Multidimensional Bias Analysis | p. 109 |
| Introduction | p. 109 |
| Selection Bias | p. 110 |
| Unmeasured Confounder | p. 112 |
| Misclassification | p. 113 |
| Limitations | p. 116 |
| Probabilistic Bias Analysis | p. 117 |
| Introduction | p. 117 |
| Probability Distributions | p. 119 |
| Uniform Distribution | p. 119 |
| Trapezoidal Distribution | p. 121 |
| Triangular Distribution | p. 123 |
| Normal Distribution | p. 124 |
| Beta Distribution | p. 126 |
| Other Probability Distributions | p. 132 |
| Analytic Approach | p. 132 |
| Exposure Misclassification Implementation | p. 132 |
| Misclassification Implementation Alternative: Predictive Values | p. 138 |
| Unmeasured Confounding Implementation | p. 138 |
| Confounding Implementation Alternative: Relative Risk Due to Confounding | p. 141 |
| Selection Bias Implementation | p. 142 |
| Correlated Distributions | p. 144 |
| Impossible Values for Bias Parameters | p. 146 |
| Combining Systematic and Random Error | p. 147 |
| Record Level Correction | p. 149 |
| Conclusions | p. 149 |
| Appendix | p. 150 |
| Multiple Bias Modeling | p. 151 |
| Introduction | p. 151 |
| Multiple Bias Analysis Example | p. 153 |
| Multiple Bias Analysis, Simple Methods | p. 154 |
| Simple Misclassification Bias Analysis | p. 154 |
| Simple Selection Bias Analysis | p. 155 |
| Simple Unmeasured Confounder Analysis | p. 158 |
| Multiple Bias Analysis, Multidimensional Methods | p. 160 |
| Misclassification Scenarios | p. 160 |
| Selection Bias Scenarios | p. 160 |
| Unmeasured Confounder Scenarios | p. 161 |
| Multiple Bias Analysis, Probabilistic Methods | p. 162 |
| Probabilistic Misclassification Bias Analysis | p. 163 |
| Probabilistic Selection Bias Analysis | p. 168 |
| Probabilistic Unmeasured Confounder Bias Analysis | p. 169 |
| Probabilistic Multiple Bias Analysis | p. 171 |
| Presentation and Inference | p. 175 |
| Introduction | p. 175 |
| Presentation | p. 175 |
| Methods | p. 175 |
| Results | p. 176 |
| Inference | p. 178 |
| Inferential Framework | p. 178 |
| Caveats and Cautions | p. 179 |
| Utility | p. 180 |
| References | p. 183 |
| Index | p. 191 |
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