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xv | |
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Symbols |
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xxi | |
Preface |
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xxiii | |
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1 | (10) |
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1.1 Examples of risk models for disease incidence |
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2 | (5) |
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1.1.1 Breast cancer incidence |
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2 | (1) |
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1.1.1.1 A brief survey of models |
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2 | (2) |
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1.1.1.1 The National Cancer Institute's (NCI's) Breast Cancer Risk Assessment Tool, BCRAT |
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4 | (2) |
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1.1.2 Other models of cancer incidence |
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6 | (1) |
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1.1.3 Framingham Model for incidence of coronary heart disease |
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7 | (1) |
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1.2 Applications of risk models for disease incidence |
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7 | (2) |
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1.3 Prognosis after disease diagnosis |
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9 | (1) |
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9 | (2) |
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2 Definitions and basic concepts for survival data in a cohort without covariates |
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11 | (8) |
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2.1 Basic survival concepts |
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11 | (1) |
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2.2 Choice of time scale: age, time since diagnosis, time since accrual or counseling |
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12 | (1) |
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13 | (2) |
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14 | (1) |
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15 | (1) |
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15 | (2) |
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2.5.1 Kaplan-Meier survival estimate |
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16 | (1) |
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2.6 Counting processes and Markov methods |
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17 | (2) |
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19 | (8) |
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3.1 Concepts and definitions |
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19 | (3) |
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3.2 Pure versus cause-specific hazard functions |
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22 | (1) |
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3.3 Non-parametric estimation of absolute risk |
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23 | (4) |
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4 Regression models for absolute risk estimated from cohort data |
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27 | (36) |
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4.1 Cause-specific hazard regression |
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27 | (5) |
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4.1.1 Estimation of the hazard ratio parameters |
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29 | (1) |
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4.1.2 Non-parametric estimation of the baseline hazard |
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30 | (1) |
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4.1.3 Semi-parametric estimation of absolute risk rm |
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30 | (1) |
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4.1.4 Estimation of a piecewise exponential baseline hazard model |
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31 | (1) |
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4.1.5 Alternative hazard models |
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32 | (1) |
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4.2 Cumulative incidence regression |
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32 | (4) |
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4.2.1 Proportional sub-distribution hazards model |
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33 | (2) |
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4.2.2 Other cumulative incidence regression models |
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35 | (1) |
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4.2.3 Relationship between the cause-specific and the proportional sub-distribution hazards models |
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36 | (1) |
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36 | (7) |
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4.3.1 Absolute risk of breast cancer incidence |
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36 | (4) |
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4.3.2 Absolute risk of second primary thyroid cancer (SPTC) incidence |
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40 | (3) |
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4.4 Estimating cause-specific hazard functions from sub-samples from cohorts |
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43 | (6) |
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45 | (2) |
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4.4.2 Nested case-control design |
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47 | (2) |
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4.5 Estimating cause specific hazard functions from cohorts with complex survey designs |
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49 | (6) |
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4.5.1 Example of survey design |
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49 | (1) |
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50 | (1) |
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4.5.3 Estimation of hazard ratio parameters and the baseline hazard function |
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50 | (1) |
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4.5.4 Example: absolute risk of cause-specific deaths from the NHANES I and II |
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51 | (4) |
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55 | (8) |
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4.6.1 Approaches to variance estimation |
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56 | (1) |
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4.6.2 Influence function based variance of the absolute risk estimate from cohort data |
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57 | (6) |
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5 Estimating absolute risk by combining case-control or cohort data with disease registry data |
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63 | (12) |
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5.1 Relationship between attributable risk, composite age-specific incidence, and baseline hazard |
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63 | (1) |
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5.2 Estimating relative risk and attributable risk from case-control data |
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64 | (1) |
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5.3 Estimating relative risk and attributable risk from cohort data |
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65 | (1) |
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5.4 Estimating the cause-specific hazard of the competing causes of mortality, λ2(t;z2) |
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66 | (1) |
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5.5 Some strengths and limitations of using registry data |
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67 | (1) |
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5.6 Absolute risk estimate |
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67 | (1) |
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5.7 Example: estimating absolute risk of breast cancer incidence by combining cohort data with registry data |
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68 | (1) |
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5.8 Variance computations |
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68 | (7) |
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5.8.1 Relative risk parameters and attributable risk estimated from a case-control study |
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70 | (2) |
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5.8.2 Relative risk parameters and attributable risk estimated from a cohort study |
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72 | (1) |
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5.8.3 Variance computation when an external reference survey is used to obtain the risk factor distribution |
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72 | (1) |
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5.8.4 Resampling methods to estimate variance |
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73 | (2) |
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6 Assessment of risk model performance |
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75 | (26) |
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75 | (1) |
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6.2 The risk distribution |
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76 | (2) |
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6.2.1 The predictiveness curve |
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77 | (1) |
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78 | (6) |
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6.3.1 Definition of calibration and tests of calibration |
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78 | (3) |
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6.3.2 Reasons for poor calibration and approaches to recalibration |
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81 | (2) |
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6.3.3 Assessing calibration with right censored data |
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83 | (1) |
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6.3.4 Assessing calibration on the training data, that is, internal validation |
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83 | (1) |
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84 | (6) |
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6.4.1 Predictive accuracy: the Brier score and the logarithmic score |
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84 | (1) |
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6.4.2 Classification accuracy |
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85 | (1) |
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6.4.2.2 Distribution of risk in cases and non-cases |
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85 | (1) |
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6.4.2.2 Accuracy criteria |
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86 | (2) |
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6.4.3 Discriminatory accuracy |
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88 | (1) |
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6.4.4 Extensions of accuracy measures to functions of time and allowance for censoring |
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89 | (1) |
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6.5 Criteria for applications of risk models for screening or high-risk interventions |
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90 | (4) |
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6.5.1 Proportion of cases followed and proportion needed to follow |
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90 | (2) |
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6.5.1.1 Estimation of PCF and PNF |
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92 | (2) |
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6.6 Model assessment based on expected costs or expected utility specialized for a particular application |
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94 | (7) |
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6.6.1 Two health states and two intervention options |
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95 | (2) |
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6.6.2 More complex outcomes and interventions |
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97 | (1) |
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6.6.2.2 Example with four intervention choices |
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97 | (1) |
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6.6.2.2 Multiple outcomes in prevention trials |
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98 | (1) |
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6.6.2.2 Expected cost calculations for outcomes following disease diagnosis |
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99 | (2) |
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7 Comparing the performance of two models |
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101 | (18) |
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7.1 Use of external validation data for model comparison |
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101 | (1) |
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102 | (1) |
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7.3 Comparison of model calibration |
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102 | (2) |
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7.4 Model comparisons based on the difference in separate model-specific estimates of a criterion |
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104 | (8) |
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7.4.1 Comparisons of predictive accuracy using the Brier and logarithmic scores |
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105 | (1) |
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7.4.2 Classification accuracy criteria based on single risk threshold |
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105 | (2) |
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7.4.3 Comparisons based on the receiver operating characteristic (ROC) curve |
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107 | (1) |
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7.4.4 Integrated discrimination improvement (IDI) and mean risk difference |
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108 | (1) |
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7.4.5 Comparing two risk models based on PCF, PNF, iPCF, or iPNF |
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109 | (1) |
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7.4.6 Comparisons based on expected loss or expected benefit |
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110 | (2) |
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7.5 Joint distributions of risk |
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112 | (1) |
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7.6 Risk stratification tables and reclassification indices |
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112 | (5) |
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7.6.1 Net reclassification improvement (NRI) |
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115 | (1) |
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116 | (1) |
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117 | (2) |
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8 Building and updating relative risk models |
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119 | (16) |
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119 | (1) |
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8.2 Selection of covariates |
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119 | (3) |
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122 | (2) |
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8.3.1 Types of missing data |
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123 | (1) |
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8.3.2 Approaches to handling missing data |
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123 | (1) |
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8.4 Updating risk models with new risk factors |
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124 | (11) |
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8.4.1 Estimating an updated relative risk model, rr(X,Z), from case-control data |
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125 | (1) |
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8.4.2 Estimating rr(X, Z) from new data only |
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125 | (1) |
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8.4.3 Incorporating information on rr(X) into rr(X, Z) via likelihood ratio (LR) updating |
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126 | (1) |
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8.4.3.3 Joint estimation of LRD(Z|X) |
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127 | (1) |
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8.4.3.3 Estimating LRD(Z|X) based on fitting separate models for cases (D = 1) and non-cases (D = 0) |
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127 | (1) |
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8.4.3.3 LR updating assuming independence of Z and X (independence Bayes) |
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128 | (1) |
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8.4.3.3 LR updating with multiple markers |
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128 | (1) |
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8.4.4 Joint estimation, logistic model with offset |
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128 | (1) |
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8.4.5 Independence Bayes with shrinkage |
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129 | (1) |
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8.4.6 Updating using constrained maximum likelihood estimation (CML) |
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129 | (1) |
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130 | (2) |
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132 | (3) |
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9 Risk estimates based on genetic variants and family studies |
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135 | (16) |
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135 | (1) |
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9.2 Mendelian models: the autosomal dominant model for pure breast cancer risk |
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136 | (2) |
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9.3 Models that allow for residual familial aggregation to estimate pure breast cancer risk |
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138 | (2) |
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138 | (1) |
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9.3.2 Models with latent genetic effects: BOADICEA and IBIS |
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138 | (2) |
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140 | (1) |
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9.4 Estimating genotype-specific absolute risk from family-based designs |
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140 | (4) |
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9.4.1 General considerations |
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140 | (1) |
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9.4.2 Combining relative-risks from family-based case-control studies with population-based incidence rates |
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141 | (1) |
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141 | (2) |
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9.4.4 Families with several affected members (multiplex pedigrees) |
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143 | (1) |
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9.5 Comparisons of some models for projecting breast cancer risk |
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144 | (4) |
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148 | (3) |
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151 | (20) |
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151 | (1) |
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10.2 Prognosis following disease onset |
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151 | (1) |
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10.3 Missing or misclassified information on event type |
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152 | (2) |
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10.4 Time varying covariates |
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154 | (6) |
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10.4.1 Fixed versus time-varying covariates and internal versus external time-varying covariates |
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154 | (1) |
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10.4.2 Joint modeling of covariates and health outcomes, including multistate models |
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155 | (3) |
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158 | (2) |
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10.5 Risk model applications for counseling individuals and for public health strategies for disease prevention |
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160 | (11) |
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10.5.1 Use of risk models in counseling individuals |
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160 | (1) |
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10.5.1.1 Providing realistic risk estimates and perspective |
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160 | (2) |
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10.5.1.1 More formal risk-benefit analysis for individual counseling |
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162 | (1) |
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10.5.2 Use of risk models in public health prevention |
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162 | (1) |
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10.5.2.2 Designing intervention trials to prevent disease |
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162 | (1) |
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10.5.2.2 Assessing absolute risk reduction in a population from interventions on modifiable risk factors |
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163 | (2) |
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10.5.2.2 Implementing a "high risk" intervention strategy for disease prevention |
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165 | (4) |
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10.5.2.2 Allocating preventive interventions under cost constraints |
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169 | (2) |
Bibliography |
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171 | (22) |
Index |
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