Panel data/cross-sectional time-series


Fixed- and random-effects models
  • linear model with panel-level effects and i.i.d. errors
  • linear model with panel-level effects and AR(1) errors
  • GLS and ML estimators
  • robust and cluster-robust standard errors

Tests

  • Hausman specification test
  • Breusch and Pagan Lagrange multiplier test for random effects

Arellano–Bond linear, dynamic panel-data estimator

  • one step, one-step robust, two step
  • exogenously unbalanced panels
  • opening, closing, and embedded gaps
  • predetermined covariates
  • full instrument list or pared-down version

Panel-corrected standard errors (PCSE) for linear cross-sectional models

Two-stage least-squares panel-data estimators

  • between-2SLS estimator
  • within-2SLS estimator
  • Balestra–Varadharajan–Krishnakumar G2SLS estimator
  • Baltagi EC2SLS estimator
  • all with balanced or exogenously balanced panels

Stochastic frontier models

  • time-invariant model
  • time-varying decay model
  • Battese–Coelli parameterization of time effects
  • estimates of technical efficiency and inefficiency

Regressors correlated with individual-level effects

  • Hausman–Taylor instrumental variable estimators
  • Amemiya–MaCurdy instrumental variable estimators
 
Linear mixed, multilevel, and hierarchical models

GEE estimation of general linear models (GLMs)

  • 6 distribution families
  • 9 links
  • 7 correlation structures
  • specific models include:
    • probit model with panel-correlation structure
    • Poisson model with panel-correlation structure

Summary statistics and tabulations

  • statistics within and between panels
  • pattern of panel participation

Random-effects regression for binary and count-dependent variables

  • interval regression
  • tobit
  • probit
  • logistic regression
  • complementary log-log regression
  • Poisson regression (Gaussian random-effects)
  • Poisson regression (gamma random-effects)
  • negative binomial regression
  • linear parameter constraints

Conditional fixed-effects regression for binary and count-dependent variables

  • logit regression
  • Poisson regression
  • negative binomial regression

Population-averaged regression

  • complementary log-log regression
  • logit regression
  • negative binomial regression
  • Poisson regression
  • probit regression
  • linear models regression

Swamy's random-coefficients regression

Panel-data line plots

  • graphs by panel
  • overlaid panels

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