“…Under the assumption of no omitted variable bias, regression-based estimators yield unbiased estimates of the average treatment effect for the subset patients who chose treatment or the average treatment effect on the treated (ATT) [ 43 , 48 – 50 , 54 , 57 , 60 , 68 , 69 ]. Consequently, if treatment choice in an empirical setting was influenced by unmeasured patient factors related to treatment effectiveness – essential heterogeneity – the parametric estimate of ATT for a reference class will overstate the true treatment effects for the untreated patients in the class [ 39 , 49 , 50 , 70 ]. Researchers using parametric estimators have learned not to generalize a single parametric treatment effect estimate to all patients in a population [ 38 , 43 , 47 – 51 , 53 , 55 , 56 , 58 , 59 , 61 , 67 , 70 , 71 ].…”