Samiksha Jaiswal (Editor)

Outline of regression analysis

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The following outline is provided as an overview of and topical guide to regression analysis:

Contents

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
  • Least squares
  • Linear least squares (mathematics)
  • Non-linear least squares
  • Least absolute deviations
  • Curve fitting
  • Smoothing
  • Cross-sectional study
  • 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
  • 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

    • References

    Outline of regression analysis Wikipedia
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