Statistics for Economics

  1. Multiple Linear Regression Analysis
    1. The Multiple Regression Model
      1. Model Specification
        1. Matrix Representation
          1. Assumptions in Matrix Form
          2. OLS Estimation in Multiple Regression
            1. Matrix Derivation of OLS
              1. Normal Equations in Matrix Form
                1. Properties of OLS Estimators
                2. Interpretation of Coefficients
                  1. Partial Regression Coefficients
                    1. Ceteris Paribus Interpretation
                      1. Economic Significance
                      2. Goodness of Fit in Multiple Regression
                        1. Multiple R-Squared
                          1. Adjusted R-Squared
                            1. F-Statistic for Overall Significance
                              1. Information Criteria
                                1. Akaike Information Criterion
                                  1. Bayesian Information Criterion
                                2. Hypothesis Testing in Multiple Regression
                                  1. t-Tests for Individual Coefficients
                                    1. F-Tests for Joint Hypotheses
                                      1. Testing Linear Restrictions
                                        1. Wald Tests
                                        2. Model Specification Issues
                                          1. Omitted Variable Bias
                                            1. Causes and Consequences
                                              1. Direction of Bias
                                              2. Inclusion of Irrelevant Variables
                                                1. Model Selection Criteria
                                                  1. Specification Tests
                                                  2. Multicollinearity
                                                    1. Perfect Multicollinearity
                                                      1. Imperfect Multicollinearity
                                                        1. Detection Methods
                                                          1. Correlation Matrix
                                                            1. Variance Inflation Factor
                                                              1. Condition Number
                                                              2. Consequences of Multicollinearity
                                                                1. Remedial Measures
                                                                2. Prediction in Multiple Regression
                                                                  1. Point Predictions
                                                                    1. Prediction Intervals
                                                                      1. Out-of-Sample Forecasting

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                                                                    8. Advanced Regression Topics