Inference on time-invariant variables using panel data: a pretest estimator

Pré-publication, Document de travail: For static panel data models that include endogenous time-invariant variables corre- lated with individual e¤ects, exogenous averages over time of time-varying variables can be internal instruments. To pretest their exogeneity, we .rst estimate a random e¤ects model that includes all averages over time of time-varying variables (Mundlak, 1978; Kr- ishnakumar, 2006). Internal instruments are then selected if their parameter is statistically di¤erent from zero (Mundlak, 1978; Hausman and Taylor, 1981). Finally, we estimate a Hausman-Taylor (1981) model using these internal instruments. We then evaluate the bi- ases of currently used alternative estimators in a Monte-Carlo simulation: repeated between, ordinary least squares, two-stage restricted between, Oaxaca-Geisler estimator, .xed e¤ect vector decomposition, and random e¤ects (restricted generalized least squares).

Auteur(s)

Jean-Bernard Chatelain, Kirsten Ralf

Date de publication
  • 2021
Mots-clés JEL
C1 C22 C23
Mots-clés
  • Time-invariant variables
  • Panel data
  • Time-series cross-sections
  • Pretest estimator
  • Mundlak estimator
  • Hausman-Taylor estimator
Référence interne
  • PSE Working Papers n°2018-07
Version
  • 2