Biostatistics

  1. Probability Fundamentals
    1. Basic Probability Concepts
      1. Sample Space and Events
        1. Definition and Examples
          1. Simple vs Compound Events
          2. Probability Axioms
            1. Non-negativity
              1. Normalization
                1. Additivity
                2. Probability Rules
                  1. Addition Rule
                    1. Multiplication Rule
                      1. Complement Rule
                    2. Conditional Probability
                      1. Definition and Calculation
                        1. Independence of Events
                          1. Definition and Testing
                            1. Mutual Independence
                            2. Bayes' Theorem
                              1. Formula and Derivation
                                1. Applications in Medical Testing
                                  1. Prior and Posterior Probabilities
                                2. Diagnostic Test Evaluation
                                  1. Test Performance Measures
                                    1. Sensitivity
                                      1. Definition and Calculation
                                        1. Clinical Interpretation
                                        2. Specificity
                                          1. Definition and Calculation
                                            1. Clinical Interpretation
                                            2. Positive Predictive Value
                                              1. Definition and Calculation
                                                1. Dependence on Prevalence
                                                2. Negative Predictive Value
                                                  1. Definition and Calculation
                                                    1. Dependence on Prevalence
                                                  2. Likelihood Ratios
                                                    1. Positive Likelihood Ratio
                                                      1. Negative Likelihood Ratio
                                                        1. Clinical Applications
                                                        2. ROC Curves
                                                          1. Construction and Interpretation
                                                            1. Area Under the Curve
                                                              1. Optimal Cutpoint Selection
                                                                1. Comparing Diagnostic Tests

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                                                            4. Data Visualization

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                                                            6. Probability Distributions