Trimming for bounds on treatment effects with missing outcomes

DS Lee - 2002 - nber.org
2002nber.org
Empirical researchers routinely encounter sample selection bias whereby 1) the regressor of
interest is assumed to be exogenous, 2) the dependent variable is missing in a potentially
non-random manner, 3) the dependent variable is characterized by an unbounded (or very
large) support, and 4) it is unknown which variables directly affect sample selection but not
the outcome. This paper proposes a simple and intuitive bounding procedure that can be
used in this context. The proposed trimming procedure yields the tightest bounds on …
Empirical researchers routinely encounter sample selection bias whereby 1) the regressor of interest is assumed to be exogenous, 2) the dependent variable is missing in a potentially non-random manner, 3) the dependent variable is characterized by an unbounded (or very large) support, and 4) it is unknown which variables directly affect sample selection but not the outcome. This paper proposes a simple and intuitive bounding procedure that can be used in this context. The proposed trimming procedure yields the tightest bounds on average treatment effects consistent with the observed data. The key assumption is a monotonicity restriction on how the assignment to treatment effects selection -- a restriction that is implicitly assumed in standard formulations of the sample selection problem.
nber.org
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