13.3 Regression assumptions

exogeneity assumption: In a regression context, the assumption that the variables in the model (or perhaps just our treatment variable) is uncorrelated with the error term

  • basically the same conditions as for identifying a causal effect
  • if something is still in the error term and is correlated with X, we haven’t closed this path
  • other way to say this: X is correlated with ϵ and so is endogenous
  • endogeneity problem: bias –> estimate gives the wrong answer on average
  • here: omitted variable bias