List of Figures | p. ix |
List of Tables | p. xiii |
Preface | p. xv |
Event History and Survival Data | p. 1 |
Introduction | p. 1 |
Survival Data | p. 1 |
Right Censoring | p. 5 |
Left Truncation | p. 6 |
Time Scales | p. 7 |
Event History Data | p. 9 |
More Data Sets | p. 11 |
Single Sample Data | p. 17 |
Introduction | p. 17 |
Continuous Time Model Descriptions | p. 17 |
Discrete Time Models | p. 22 |
Nonparametric Estimators | p. 23 |
Doing it in R | p. 27 |
Cox Regression | p. 31 |
Introduction | p. 31 |
Proportional Hazards | p. 31 |
The Log-Rank Test | p. 33 |
Proportional Hazards in Continuous Time | p. 39 |
Estimation of the Baseline Hazard | p. 42 |
Explanatory Variables | p. 42 |
Interactions | p. 44 |
Interpretation of Parameter Estimates | p. 47 |
Proportional Hazards in Discrete Time | p. 47 |
Model Selection | p. 48 |
Male Mortality | p. 49 |
Poisson Regression | p. 57 |
Introduction | p. 57 |
The Poisson Distribution | p. 57 |
The Connection to Cox Regression | p. 59 |
The Connection to the Piecewise Constant Hazards Model | p. 62 |
Tabular Lifetime Data | p. 62 |
More on Cox Regression | p. 677 |
Introduction | p. 67 |
Time-Varying Covariates | p. 67 |
Communal covariates | p. 68 |
Tied Event Times | p. 71 |
Stratification | p. 74 |
Sampling of Risk Sets | p. 75 |
Residuals | p. 77 |
Checking Model Assumptions | p. 80 |
Fixed Study Period Survival | p. 83 |
Left- or Right-Censored Data | p. 84 |
Parametric Models | p. 85 |
Introduction | p. 85 |
Proportional Hazards Models | p. 85 |
Accelerated Failure Time Models | p. 112 |
Proportional Hazards or AFT Model? | p. 115 |
Discrete Time Models | p. 116 |
Multivariate Survival Models | p. 127 |
Introduction | p. 127 |
Frailty Models | p. 129 |
Parametric Frailty Models | p. 134 |
Stratification | p. 136 |
Competing Risks Models | p. 139 |
Introduction | p. 139 |
Some Mathematics | p. 140 |
Estimation | p. 140 |
Meaningful Probabilities | p. 140 |
Regression | p. 141 |
R Code for Competing Risks | p. 144 |
Causality and Matching | p. 147 |
Introduction | p. 147 |
Philosophical Aspects of Causality | p. 147 |
Causal Inference | p. 148 |
Aalen's Additive Hazards Model | p. 150 |
Dynamic Path Analysis | p. 152 |
Matching | p. 153 |
Conclusion | p. 157 |
Basic Statistical Concepts | p. 159 |
Introduction | p. 159 |
Statistical Inference | p. 159 |
Asymptotic theory | p. 161 |
Model Selection | p. 163 |
Survival Distributions | p. 165 |
Introduction | p. 165 |
Relevant Distributions in R | p. 165 |
Parametric Proportional Hazards and Accelerated Failure Time Models | p. 172 |
A Brief Introduction to R | p. 177 |
R in General | p. 177 |
Some Standard R Functions | p. 182 |
Writing Functions | p. 187 |
Graphics | p. 193 |
Probability Functions | p. 194 |
Help in R | p. 197 |
Functions in eha and survival | p. 197 |
Reading Data into R | p. 202 |
Survival Packages in R | p. 205 |
Introduction | p. 205 |
eha | p. 205 |
survival | p. 206 |
Other Packages | p. 207 |
Bibliography | p. 209 |
Index | p. 213 |
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