specification of the propensity score: "overlap" or "non-overlap" (default: "overlap")
x_discrete
TRUE if the distribution of the covariate is uniform on -3.0, -2.9, ..., 3.0 and
FALSE if the distribution of the covariate is uniform on [--3,3] (default: FALSE)
Value
An S3 object of type "ATbounds". The object has the following elements.
outcome
n observations of binary outcomes
treat
n observations of binary treatments
covariate
n observations of a scalar covariate
ate_oracle
the sample analog of E[Y(1) - Y(0)]
att_oracle
the sample analog of E[DY(1) - Y(0)|D=1]
References
Sokbae Lee and Martin Weidner. Bounding Treatment Effects by Pooling Limited Information across Observations.
# NOT RUN { data <- simulation_dgp(100, ps_spec = "overlap")
y <- data$outcome
d <- data$treat
x <- data$covariate
ate <- data$ate_oracle
att <- data$att_oracle
# }