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Methods & measurement · 2026

The Surprising Bias of PPML Estimates of Structural Gravity Models With Two-Way Fixed Effects

Review of International Economics, 34(3), 615–631

The paper

This article examines finite-sample bias in PPML estimates of structural gravity models with exporter and importer fixed effects. It combines a theoretical characterization, simulations, and an application to observed trade data to assess when bias matters and how to reduce it.

Research findings

  • Bias can remain noticeable in datasets with tens of thousands of observations, especially with noisy data and sector-level estimation.
  • The leading bias shrinks with the square of the number of countries. Bootstrap and split-sample jackknife corrections can reduce it, with results depending on the data.

Implications for applied research

  • Compare standard and bias-corrected estimates when gravity coefficients feed into assessments of trade agreements or other policy changes.
  • For counterfactual modeling, assess the stability of the point estimates used as inputs; a large observation count alone does not establish that finite-sample bias is negligible.