Clinical trials and decision analysis

One cannot use observational data to estimate p(s^{\prime}|a,s) within a decision analysis, without further assumptions.

Imagine s^{\prime}=heart attack, a=drug A, s=smokes, and that smoking leads one to avoid drug A and get more heart attacks.

If we use observational data, but do not collect smoking status, it would appear that drug A reduces heart attacks, even if drug A truly has no effect.

I suspect one needs to treat s^{\prime} like a counterfactual in some form, and therefore that one would need to rely on the no unmeasured confounders assumption, if one is using observational data.

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