Under a single-mechanism change across two environments, the causal effect of treatment on outcome is identified up to two candidates and can be estimated from higher-order moments.
Does compulsory school attendance affect schooling and earnings? The Quarterly Journal of Economics, 106 0 (4): 0 979--1014, 1991
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Causal Effect Identification in Heterogeneous Environments from Higher-Order Moments
Under a single-mechanism change across two environments, the causal effect of treatment on outcome is identified up to two candidates and can be estimated from higher-order moments.