Biostatistics

  1. Multiple Regression Analysis
    1. Multiple Linear Regression Model
      1. Model Specification
        1. Multiple Predictors
          1. Partial Regression Coefficients
            1. Model Equation
            2. Interpretation of Coefficients
              1. Holding Other Variables Constant
                1. Standardized vs Unstandardized
                2. Model Fitting
                  1. Least Squares Estimation
                    1. Matrix Formulation
                    2. Model Assessment
                      1. Multiple R-Squared
                        1. Adjusted R-Squared
                          1. F-Test for Overall Model
                        2. Variable Selection
                          1. Forward Selection
                            1. Procedure and Criteria
                              1. Advantages and Limitations
                              2. Backward Elimination
                                1. Procedure and Criteria
                                  1. Advantages and Limitations
                                  2. Stepwise Selection
                                    1. Bidirectional Approach
                                      1. Stopping Criteria
                                      2. Best Subsets Regression
                                        1. All Possible Models
                                          1. Selection Criteria
                                          2. Model Selection Criteria
                                            1. Akaike Information Criterion (AIC)
                                              1. Bayesian Information Criterion (BIC)
                                                1. Mallows' Cp
                                              2. Multicollinearity
                                                1. Definition and Detection
                                                  1. Correlation Matrix
                                                    1. Variance Inflation Factor (VIF)
                                                      1. Tolerance
                                                      2. Consequences of Multicollinearity
                                                        1. Unstable Coefficients
                                                          1. Inflated Standard Errors
                                                          2. Remedial Measures
                                                            1. Variable Removal
                                                              1. Ridge Regression
                                                                1. Principal Components
                                                              2. Model Diagnostics
                                                                1. Residual Analysis
                                                                  1. Standardized Residuals
                                                                    1. Studentized Residuals
                                                                      1. Residual Plots
                                                                      2. Influence Diagnostics
                                                                        1. Leverage Values
                                                                          1. Cook's Distance
                                                                            1. DFBETAS
                                                                            2. Assumption Checking
                                                                              1. Linearity Assessment
                                                                                1. Homoscedasticity Testing
                                                                                  1. Normality of Residuals
                                                                                    1. Independence Verification
                                                                                  2. Interaction and Polynomial Terms
                                                                                    1. Interaction Effects
                                                                                      1. Definition and Interpretation
                                                                                        1. Testing for Interactions
                                                                                          1. Centering Variables
                                                                                          2. Polynomial Regression
                                                                                            1. Quadratic and Higher-Order Terms
                                                                                              1. Interpretation Challenges
                                                                                                1. Overfitting Concerns

                                                                                            Previous

                                                                                            12. Correlation and Simple Regression

                                                                                            Go to top

                                                                                            Next

                                                                                            14. Categorical Data Analysis