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To provide an unbiased estimate, a regression analysis depends, among other things, on there being no unmeasured confounding. Often, unmeasured confounding is thought to be possible, but not severe; leading to a secondary instrumental variables (IV) analysis. However, these two analyses are correlated. It is unclear how much independent evidence is provided by the IV analysis. We resolve this redundancy using a new estimator, which extracts the part of the regression estimator uncorrelated to the IV-based 2SLS estimator. We apply our approach to analyze the effect of exposure to violent conflict on preferences for altruistic behavior, time and risk.

biostatistics and epidemiology

Constructing independent evidence from regression and instrumental variables with an application to the effect of violent conflict on altruism and risk preference