7.2 Covariates & Missing pot. outcome perspective

  • To estimate the causal effect for any particular unit we need to predict/impute the missing potential outcome
Unit Di (Aspirin: Yes/No) Yi1 (Pain | Aspirin) Yi0 (Pain | NoAspirin) Gender
Simone 1 0 ? 0
Julia 1 1 ? 1
Paul 0 ? 1 0
Trump 0 ? 0 0
Fabrizio 0 ? 0 0
Diego 0 ? 0 0
  • Q: Assumping we have a treatment D (Aspirin) and outcome Y (Pain), what kind of person would you look for to imput Peter (75kg/1.85m/25years)?

  • We can use pre-treatment variables to make predictions (fill in missings/find comparable units)