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How Likely Is It That Omitted Variable Bias Will Overturn Your Results?, Deepankar Basu
How Likely Is It That Omitted Variable Bias Will Overturn Your Results?, Deepankar Basu
Economics Department Working Paper Series
Building on a recently developed methodology for sensitivity analysis that parametrizes omitted variable bias in terms of partial R-Squared measures, I propose a simple statistic to capture the severity of omitted variable bias in any observational study: the probability of omitted variable bias overturning the reported result. The central element of my proposal is formal covariate benchmarking, whereby researchers choose an observed regressor (or a group of observed regressors) to benchmark the relative strength of association of the omitted regressor with the outcome variable and with the treatment variable. These relative strengths of association function as the two sensitivity parameters …