Probability of Causation with Sample Selection: A Reanalysis of the Impacts of Jóvenes en Acción on FormalityThis paper identifies the probability of causation when there is sample
selection. We show that the probability of causation is partially identified
for individuals who are always observed regardless of treatment status and
derive sharp bounds under three increasingly restrictive sets of assumptions.
The first set imposes an exogenous treatment and a monotone sample selection
mechanism. To tighten these bounds, the second set also imposes the monotone
treatment response assumption, while the third set additionally imposes a
stochastic dominance assumption. Finally, we use experimental data from the
Colombian job training program \Jóvenes en Acción to empirically illustrate
our approach's usefulness. We find that, among women who are always employed
regardless of treatment, at least 12 and at most 19 transition to the formal
labor market because of this training program.
arxiv.org