Econometrics

  1. The Multiple Linear Regression Model
    1. Model Specification and Estimation
      1. Extension from Simple Regression
        1. Matrix Notation
          1. OLS Estimation in Matrix Form
            1. Geometric Interpretation
            2. Interpretation of Coefficients
              1. Partial Effects
                1. Ceteris Paribus Interpretation
                  1. Marginal Effects
                    1. Economic Significance vs. Statistical Significance
                    2. The Frisch-Waugh-Lovell Theorem
                      1. Statement and Proof
                        1. Intuition and Applications
                          1. Residual Regression Interpretation
                          2. Specification Issues
                            1. Omitted Variable Bias
                              1. Conditions for Bias
                                1. Direction of Bias
                                  1. Magnitude of Bias
                                    1. Solutions and Prevention
                                    2. Irrelevant Variables
                                      1. Consequences of Inclusion
                                        1. Model Parsimony
                                        2. Functional Form Misspecification
                                          1. Linear vs. Nonlinear Relationships
                                            1. Detection Methods
                                          2. Multicollinearity
                                            1. Perfect Multicollinearity
                                              1. Definition and Consequences
                                              2. Imperfect Multicollinearity
                                                1. Definition and Degrees
                                                  1. Consequences for Estimation
                                                    1. Detection Methods
                                                      1. Variance Inflation Factors
                                                        1. Remedial Measures
                                                      2. Statistical Inference in Multiple Regression
                                                        1. Individual Coefficient Tests
                                                          1. t-tests
                                                            1. Confidence Intervals
                                                            2. Joint Hypothesis Testing
                                                              1. F-tests for Multiple Restrictions
                                                                1. Wald Tests
                                                                  1. Likelihood Ratio Tests
                                                                  2. Testing Linear Combinations
                                                                    1. General Linear Restrictions
                                                                      1. Economic Hypotheses

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                                                                  3. The Simple Linear Regression Model

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                                                                  5. Model Specification and Functional Forms