Biostatistics

  1. Survival Analysis
    1. Time-to-Event Data Concepts
      1. Event Definition
        1. Death, Disease Recurrence, Recovery
          1. Competing Events
          2. Time Scale Selection
            1. Calendar Time vs Follow-up Time
              1. Age as Time Scale
              2. Study Design Considerations
                1. Entry and Exit Criteria
                  1. Follow-up Procedures
                2. Censoring Mechanisms
                  1. Right Censoring
                    1. Administrative Censoring
                      1. Loss to Follow-up
                        1. Competing Risks
                        2. Left Censoring
                          1. Definition and Examples
                            1. Analysis Challenges
                            2. Interval Censoring
                              1. Definition and Examples
                                1. Analysis Methods
                                2. Informative vs Non-Informative Censoring
                                  1. Assumptions and Implications
                                    1. Sensitivity Analysis
                                  2. Survival Function Concepts
                                    1. Survival Function
                                      1. Definition and Properties
                                        1. Interpretation
                                        2. Hazard Function
                                          1. Instantaneous Risk
                                            1. Relationship to Survival Function
                                            2. Cumulative Hazard Function
                                              1. Definition and Applications
                                                1. Nelson-Aalen Estimator
                                              2. Non-Parametric Methods
                                                1. Kaplan-Meier Estimator
                                                  1. Construction and Calculation
                                                    1. Handling Ties
                                                      1. Confidence Intervals
                                                        1. Median Survival Time
                                                        2. Comparing Survival Curves
                                                          1. Log-Rank Test
                                                            1. Test Statistic and Distribution
                                                              1. Assumptions and Limitations
                                                              2. Wilcoxon Test
                                                                1. Weighted Comparison
                                                                  1. When to Use
                                                                  2. Stratified Tests
                                                                    1. Controlling for Confounders
                                                                2. Semi-Parametric Methods
                                                                  1. Cox Proportional Hazards Model
                                                                    1. Model Specification
                                                                      1. Partial Likelihood
                                                                        1. Hazard Ratio Interpretation
                                                                        2. Model Assumptions
                                                                          1. Proportional Hazards Assumption
                                                                            1. Testing Methods
                                                                              1. Schoenfeld Residuals
                                                                                1. Time-Dependent Effects
                                                                              2. Model Building
                                                                                1. Variable Selection
                                                                                  1. Interaction Terms
                                                                                    1. Stratification
                                                                                    2. Model Diagnostics
                                                                                      1. Residual Analysis
                                                                                        1. Influence Diagnostics
                                                                                          1. Goodness-of-Fit Assessment
                                                                                        2. Parametric Survival Models
                                                                                          1. Exponential Model
                                                                                            1. Constant Hazard Assumption
                                                                                              1. Parameter Estimation
                                                                                              2. Weibull Model
                                                                                                1. Shape and Scale Parameters
                                                                                                  1. Hazard Function Forms
                                                                                                  2. Log-Normal and Log-Logistic Models
                                                                                                    1. Applications and Properties
                                                                                                    2. Model Selection
                                                                                                      1. Likelihood-Based Criteria
                                                                                                        1. Graphical Methods

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                                                                                                    16. Advanced Statistical Methods