Social Statistics

  1. Multivariate Regression
    1. Multiple Linear Regression
      1. The Multiple Regression Model
        1. Multiple Regression Equation
          1. Partial Regression Coefficients
            1. Interpretation of b Coefficients
              1. Controlling for Other Variables
              2. Standardized Coefficients
                1. Beta Coefficients
                  1. Comparing Variable Importance
                  2. Model Fit Assessment
                    1. Multiple R-squared
                      1. Adjusted R-squared
                        1. Standard Error of Estimate
                        2. Statistical Significance
                          1. Overall F-Test
                            1. Individual t-Tests
                              1. Confidence Intervals
                            2. Assumptions and Diagnostics
                              1. Linearity
                                1. Partial Regression Plots
                                  1. Component-Plus-Residual Plots
                                  2. Independence of Errors
                                    1. Durbin-Watson Test
                                    2. Homoscedasticity
                                      1. Residual Plots
                                        1. Breusch-Pagan Test
                                        2. Normality of Residuals
                                          1. Normal Probability Plots
                                            1. Shapiro-Wilk Test
                                            2. Absence of Multicollinearity
                                              1. Correlation Matrix
                                                1. Variance Inflation Factor
                                                  1. Tolerance Values
                                                  2. Influential Observations
                                                    1. Leverage Values
                                                      1. Cook's Distance
                                                        1. Studentized Residuals
                                                      2. Model Building and Selection
                                                        1. Theoretical vs. Statistical Approaches
                                                          1. Stepwise Regression
                                                            1. Forward Selection
                                                              1. Backward Elimination
                                                                1. Bidirectional Stepwise
                                                                2. Hierarchical Regression
                                                                  1. Planned Entry of Variables
                                                                    1. Testing Incremental R-squared
                                                                    2. Model Selection Criteria
                                                                      1. Akaike Information Criterion
                                                                        1. Bayesian Information Criterion
                                                                          1. Cross-Validation
                                                                        2. Categorical Predictors
                                                                          1. Dummy Variable Coding
                                                                            1. Reference Category Selection
                                                                              1. Creating Dummy Variables
                                                                              2. Effects Coding
                                                                                1. Interpreting Coefficients
                                                                                  1. Interaction Terms
                                                                                    1. Continuous by Categorical
                                                                                      1. Categorical by Categorical

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                                                                                  12. Bivariate Correlation and Regression

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                                                                                  14. Advanced Topics in Social Statistics