Regression Analysis

Collinearity
Collinearity refers to the linear relationship between two or more independent variables within a multiple regression model.
Least-Squares Growth Rate
An estimate of the growth rate of a variable obtained from the ordinary least squares regression of the natural logarithm of the variable on a constant and on a linear time trend.
Generalized Least Squares (GLS) Estimator
A comprehensive overview of the Generalized Least Squares (GLS) estimator, its historical context, major analytical frameworks, and related terms.
Tobit Model
A regression model used to estimate unknown parameters from a censored sample.
Adjusted R-squared
A refined version of the coefficient of determination (R-squared), adjusted for the degrees of freedom in a regression analysis.
between-groups estimator
An estimator of the parameters in a linear regression model with panel data, using the time averages of the data for each cross-section unit.
Categorical Variable - Definition and Meaning
A thorough exploration of the concept of a categorical variable in economics, including its definition, historical context, and analytical frameworks.
Chow Test
A statistical test used to determine whether the coefficients in two linear regressions on different data samples are equal.
Degrees of Freedom
Definition and analysis of the concept of degrees of freedom in economics and statistics
Dependent Variable
Explaining the role and significance of a dependent variable in econometric models
Error Term
Definition and explanation of the error term in the context of regression analysis in economics
F-test
A comprehensive overview of the F-test, its usage in general linear hypotheses and the F-statistic.
General Linear Hypothesis
A set of linear equality restrictions on the coefficients of a linear regression model.
Goodness of Fit Measures
Measures of adequacy of the estimated regression model, such as the coefficient of determination and the information criterion.
Instrumental Variable
An overview of the concept of instrumental variables in econometrics, used to address endogeneity problems in regression analysis.
Logit Model
A statistical model used for predicting the probability of a binary outcome.
Mean Reversion
Understanding the principle of mean reversion in economics and its applications.
Multicollinearity
An examination of multicollinearity within multiple regression analysis, its impacts, and possible remedies.
Normal Equations
An overview of the term 'normal equations' in the context of econometrics and least squares estimation.
Pooled Least Squares
Least squares regression analysis that ignores possible group structure of the data
predictor
An estimator of the value of the dependent variable given by the estimated regression equation
Ramsey Regression Equation Specification Error Test (RESET)
An overview of the Ramsey Regression Equation Specification Error Test, a method for identifying linear regression model misspecifications by testing non-linear combinations of explanatory variables.
Random Effects
A detailed exploration of the random effects in panel data regression models and its significance in economics
Residual Variation
Variation in the dependent variable not explained by the regression model, represented by the residuals of the regression
Residual: Definition and Meaning
An in-depth analysis of the term 'residual' in the context of economics and econometrics.
Restricted Least Squares Estimator
An estimator method in econometrics used to minimize the sum of squared residuals subject to constraints for hypothesis testing.
Ridge Regression
A method in regression analysis used to address multicollinearity issues by introducing a bias to the estimator, thereby reducing variance.
Right-Hand-Side Variable
Explanation of the term 'right-hand-side variable,' a term used in statistical regression analysis.
Significance Test
An overview of significance tests, their formulation, and application in the context of linear regression models.