Outline of regression analysis
Introduction The following outline is provided as an overview of and topical guide to regression analysis:'''Regression analysis''' – use of statistical techniques for learning about the relationship between one or more dependent variables (''Y'') and one or more independent variables (''X'').
Overview articles * Regression analysis* Linear regression
Non-statistical articles related to regression * Least squares* Linear least squares (mathematics)* Non-linear least squares* Least absolute deviations* Curve fitting* Smoothing* Cross-sectional study
Basic statistical ideas related to regression * Conditional expectation* Correlation* Correlation coefficient* Mean square error* Residual sum of squares* Explained sum of squares* Total sum of squares
Visualization * Scatterplot
Linear regression based on least squares * General linear model* Ordinary least squares* Generalized least squares* Simple linear regression* Trend estimation* Ridge regression* Polynomial regression* Segmented regression* Nonlinear regression
Generalized linear models * Generalized linear models* Logistic regression**Multinomial logit**Ordered logit* Probit model**Multinomial probit** Ordered probit* Poisson regression* Maximum likelihood* Cochrane–Orcutt estimation
Computation *Numerical methods for linear least squares
Inference for regression models * F-test* t-test* Lack-of-fit sum of squares* Confidence band* Coefficient of determination* Multiple correlation* Scheffé's method
Challenges to regression modeling * Autocorrelation* Cointegration* Multicollinearity* Homoscedasticity and heteroscedasticity* Lack of fit* Non-normality of errors* Outliers
Diagnostics for regression models * Regression model validation* Studentized residual* Cook's distance* Variance inflation factor* DFFITS* Partial residual plot* Partial regression plot* Leverage* Durbin–Watson statistic* Condition number
Formal aids to model selection * Model selection* Mallows's ''Cp''* Akaike information criterion* Bayesian information criterion* Hannan–Quinn information criterion* Cross validation
Robust regression * Robust regression
Terminology * Linear model — relates to meaning of "linear"* Dependent and independent variables* Errors and residuals in statistics* Hat matrix* Trend-stationary process* Cross-sectional data* Time series
Methods for dependent data * Mixed model* Random effects model* Hierarchical linear models
Nonparametric regression * Nonparametric regression* Isotonic regression
Semiparametric regression * Semiparametric regression* Local regression
Other forms of regression * Total least squares regression* Deming regression* Errors-in-variables model* Instrumental variables regression* Quantile regression* Generalized additive model* Autoregressive model* Moving average model* Autoregressive moving average model* Autoregressive integrated moving average* Autoregressive conditional heteroskedasticity
See also  * Prediction* Design of experiments* Data transformation* Box–Cox transformation* Machine learning* Analysis of variance* Causal inference