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. Author manuscript; available in PMC: 2014 Jul 23.
Published in final edited form as: Stat Methods Med Res. 2010 Oct 28;21(1):31–54. doi: 10.1177/0962280210386207

Table 1.

Overview of three classes of causal effect estimator

G-computation estimator
Needed for implementation Estimator Qn of Q0
Needed for consistency Qn is a consistent estimator of Q0
Response to sparsity Extrapolates based on Qn
Sparsity can amplify bias due to model misspecification
IPTW estimator
Needed for implementation Estimator gn of g0
Needed for consistency gn is a consistent estimator of g0
g0 satisfies positivity
Response to sparsity Does not extrapolate based on Qn
Sensitive to positivity violations and near violations
DR estimators
Needed for implementation Estimator gn of g0 and Qn of Q0
Needed for consistency gn is consistent or Qn is consistent
gn converges to a distribution that satisfies positivity
Response to sparsity Can extrapolate based on Qn
Without positivity, relies on consistency of Qn