Math for Causal Inference
All simulators

Bandwidth & Robust Bias Correction

Bias, SD and RMSE across bandwidths, and coverage of conventional versus robust bias-corrected intervals.

Day 75: Bandwidth Selection & Bias Correction
0120.20.40.60.8bandwidth hlocal linear60%80%100%0.20.40.60.8bandwidth hcoverage of 95% CI
|bias| / conventional coverageSDRMSErobust bias-corrected coverage
RMSE-best bandwidth
0.40
coverage there: conventional / RBC
90% / 96%

120 simulated RD studies at each bandwidth (true jump 5). Left: bias, SD and RMSE of the local linear estimate; the RMSE is smallest at an intermediate bandwidth. Right: coverage of conventional local linear 95% intervals versus robust bias-corrected intervals (local quadratic at the same bandwidth). Raise curvature to see conventional coverage collapse at wide bandwidths.