• Source: Outline of regression analysis

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

Kata Kunci Pencarian:

• Statistika matematika
• Statistika
• Model generatif
• Variabel acak
• Ilmu aktuaria
• Eksperimen semu
• Efek pengacau
• Outline of regression analysis
• Regression analysis
• Outline of statistics
• Linear least squares
• Nonlinear regression
• Robust regression
• List of statistics articles
• Polynomial regression
• Nonparametric regression
• Isotonic regression