Statistics with R

  1. Multiple Linear Regression
    1. Multiple Regression Model
      1. Model with Multiple Predictors
        1. Matrix Notation
          1. Assumptions
          2. Model Fitting
            1. lm() with Multiple Predictors
              1. Categorical Predictors
                1. Interaction Terms
                2. Interpreting Multiple Regression
                  1. Coefficient Interpretation
                    1. Holding Other Variables Constant
                      1. Partial Effects
                      2. Model Assessment
                        1. Multiple R-squared
                          1. Adjusted R-squared
                            1. F-test for Overall Significance
                              1. Individual Coefficient Tests
                              2. Multicollinearity
                                1. Definition and Problems
                                  1. Detection Methods
                                    1. Correlation Matrix
                                      1. Variance Inflation Factor
                                        1. Tolerance
                                        2. Addressing Multicollinearity
                                        3. Variable Selection
                                          1. Forward Selection
                                            1. Backward Elimination
                                              1. Stepwise Selection
                                                1. Best Subsets
                                                  1. Information Criteria
                                                    1. AIC
                                                      1. BIC
                                                    2. Model Comparison
                                                      1. Nested Model Tests
                                                        1. Cross-validation
                                                          1. Model Selection Criteria

                                                        Previous

                                                        22. Regression Diagnostics

                                                        Go to top

                                                        Next

                                                        24. Generalized Linear Models