Under no assumptions about selection, the ATE is only partially
identified. Returns a named list with lower_bound, upper_bound,
point_estimate, width.
Usage
manski_bounds(
outcome_treated,
outcome_control,
p_treated,
outcome_range = NULL
)
Arguments
- outcome_treated
Outcomes for treated units.
- outcome_control
Outcomes for control units.
- p_treated
Proportion treated.
- outcome_range
c(min, max) on the outcome. Default c(0, 1).
Examples
set.seed(1)
res <- manski_bounds(runif(50), runif(50), p_treated = 0.5)
c(res$lower_bound, res$upper_bound)
#> [1] -0.4705084 0.5147458