Biostatistics

  1. Correlation and Simple Regression
    1. Correlation Analysis
      1. Pearson Correlation Coefficient
        1. Definition and Calculation
          1. Assumptions and Limitations
            1. Interpretation Guidelines
              1. Significance Testing
              2. Spearman Rank Correlation
                1. Definition and Calculation
                  1. When to Use
                    1. Comparison to Pearson
                    2. Correlation vs Causation
                      1. Common Misconceptions
                        1. Third Variable Problem
                          1. Temporal Relationships
                          2. Factors Affecting Correlation
                            1. Outliers and Influential Points
                              1. Restriction of Range
                                1. Non-Linear Relationships
                              2. Simple Linear Regression
                                1. Model Specification
                                  1. Linear Relationship Assumption
                                    1. Regression Equation
                                      1. Parameters and Interpretation
                                      2. Least Squares Estimation
                                        1. Minimizing Sum of Squared Errors
                                          1. Normal Equations
                                            1. Properties of Estimates
                                            2. Model Assessment
                                              1. Coefficient of Determination (R²)
                                                1. Residual Standard Error
                                                  1. Standard Errors of Coefficients
                                                  2. Inference for Regression
                                                    1. Hypothesis Tests for Slope
                                                      1. Confidence Intervals for Coefficients
                                                        1. Prediction Intervals
                                                        2. Assumptions and Diagnostics
                                                          1. Linearity
                                                            1. Independence
                                                              1. Homoscedasticity
                                                                1. Normality of Residuals
                                                                  1. Residual Analysis
                                                                    1. Residual Plots
                                                                      1. Normal Probability Plots
                                                                        1. Identifying Outliers
                                                                          1. Influential Observations

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                                                                    11. Analysis of Variance (ANOVA)

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                                                                    13. Multiple Regression Analysis