Linear models


Regression

  • ordinary, constrained, instrumental variables, censored, and errors in variables
  • influence statistics and fit diagnostics
    • Ramsey regression specification-error test for omitted variables
    • variance-inflation factors
    • Cook's distance
    • COVRATIO
    • DFBETAs
    • DFITs
    • diagonal elements of hat matrix
    • residuals, standardized residuals, studentized residuals
    • standard errors of the forecast, prediction, and residuals
    • Welsch distance
  • tests for heteroskedasticity
    • Cook and Weisberg test
    • Szroetzer's rank test
    • information matrix test
    • Cameron and Trivedi's decomposition
    • White's test
  • tests for autocorrelation
    • Durbin–Watson
    • Durbin–Watson h statistic
    • Breusch–Godfrey
  • ARCH LM test
  • diagnostic plots
    • added variable (leverage) plot
    • component plus residual plot
    • leverage vs. squared residual plot
    • residual vs. fitted plot
    • residual vs. predictor
  • fixed- and random-effects models for panel data
  • traditional, robust (Huber/White/sandwich), bootstrap, or jackknife standard errors
  • robust regression
  • graph estimates and confidence intervals
  • Newey–West estimator of variance
  • variance-weighted least squares
  • GLM
  • GLS for cross-sectional time-series data
  • list estimates and confidence intervals
 

Simultaneous systems

  • three-stage least-squares regression
  • two-stage least-squares regression
  • linear constraints within and across equations
  • accepts time-series operators
  • models with selection

Seemingly unrelated regressions

  • linear constraints within and across equations
  • accepts time-series operators

Fractional polynomial regression

  • mean adjustment to variables
  • component+residual plots

Quantile regression

  • median regression
  • least absolute deviations (LAD)
  • regression of any quantile
  • Koenker and Bassett or bootstrapped standard errors

Linear mixed models

  • multilevel random effects
  • BLUP estimation

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