Model Estimation and Analysis: Binary Choice Models

Binary choice

  • Functional forms: probit, logit, extreme value (complementary log log), Gompertz, Burr, linear
  • Proportions data: minimum chi-squared and MLE
  • Marginal effects
    • Standard errors by delta method
    • Effects for dummy variables
    • Effects evaluated at means and specified configurations
    • Marginal effects by strata
  • Numerous fit measures - tabulations of predictions
  • Predicted probabilities: adjustable threshold for predictions
  • Choice based sampling corrections
  • Robust covariance matrices, cluster, sandwich
  • Weights
  • Linear restrictions: impose or test
    • LM tests for specifications
    • Heteroscedasticity
    • Missing variables
    • LR, Wald tests for restrictions
  • Heteroscedastic probit or logit models
    • ML estimation
    • LM tests
    • Marginal effects
  • Two step estimation: use previous results or pass results to another estimator
  • Semiparametric
    • Klein and Spady
    • Maximum score
  • Nonparametric regression
  • Panel data
    • Random effects - quadrature or simulation
    • Unconditional fixed effects one and two way (fit up to 20,000 dummy variable coefficients)
    • Random parameters
    • Latent class
    • Conditional logit fixed effects
    • LR and LM tests for effects

Bivariate probit

  • Individual or proportions data
  • Marginal effects
  • Predictions
  • Partial observability models (Abowd, Poirier, Meng/Schmidt)
  • Choice based sampling
  • Restrictions, LM and LR
  • Sample selection model
  • Panel data, random parameters, random effects
  • Simultaneous equations

Multivariate probit

  • Up to 20 equations - GHK simulator
  • Marginal effects
  • Restrictions and tests of restrictions
  • Sample selection model