Accelerated Foundation in Applied Causal InferenceFor Economists · 15 modules · 45 lessons
Part III · Advanced Causal Machine Learning

Module 09. Instrumental Variables & the LATE

Use external variation to beat unobserved confounding, and be precise about whom the estimate describes.

Education economics: distance to college and the exclusion restriction about 6 hours3 lessons
Module progress0/3 lessons · 0%
Lessons
9.1

Instruments, the Wald Estimator and Compliers

  • · State the three IV conditions: relevance, independence and the exclusion restriction
  • · Compute the Wald estimator as reduced form divided by first stage
  • · Classify units as compliers, always-takers, never-takers and defiers
120 min 5 Colab cellsVideo coming soon
9.2

Two-Stage Least Squares and Weak Instruments

  • · Estimate 2SLS by hand and with linearmodels, and see why manual second stages get the standard errors wrong
  • · Estimate the return to schooling with college proximity as an instrument (Card, 1995)
  • · Read first-stage diagnostics and apply the F > 10 rule of thumb (and its modern caveats)
120 min 5 Colab cellsVideo coming soon
9.3

The Exclusion Restriction, Endogeneity Tests and Over-Identification

  • · Simulate violations of the exclusion restriction and see how far they move the estimate
  • · Run and interpret the Wu–Hausman test of endogeneity
  • · Use two instruments and interpret the Sargan over-identification test, including its limits
120 min 5 Colab cellsVideo coming soon