Evaluate extra piece of efficient influence function resulting from misspecification of propensity score
eval_Dstar_Q(A, Y, DeltaY, DeltaA, Qn, gn, grn, a_0, reduction)
A
: A vector of binary treatment assignment (assumed to be equal to 0 or 1)Y
: A numeric of continuous or binary outcomes.DeltaY
: Indicator of missing outcome (assumed to be equal to 0 if missing 1 if observed)DeltaA
: Indicator of missing treatment (assumed to be equal to 0 if missing 1 if observed)Qn
: List of estimated outcome regression evaluated at observationsgn
: List of estimated propensity scores evaluated at observationsgrn
: List of estimated reduced-dimension propensity scores evaluated at observationsa_0
: Vector of values to return marginal meanreduction
: A character equal to "univariate"
for a univariate misspecification correction or "bivariate"
for the bivariate version.