Hi.
I am not sure I understand your question.
So we get pairs of studies, more or less testing the same thing except one is randomized and the other is correlational.
If I got such data I would (a) be very happy, (b) use the RCT to inform policy, and (c) use the pair to point out how correct causal inference methods can recover the RCT result if assumptions hold (hopefully they hold in the observational study). We can try to combine strength of two studies, but then the results live or die by assumptions on how treatments were assigned in the observational study.
I am also not a fan of classifying biases like they do (it's a common silly practice). For example, it's really not informative to say "confounding bias," in reality you can have a lot of types of confounding, with different solutions necessary depending on the type (I like to draw pictures to understand this).
I think Robins et al (?Hernan?) at some point recovered the result of an RCT via his g methods from observational data.
I think Robins et al (?Hernan?) at some point recovered the result of an RCT via his g methods from observational data.
The paper you are referring to is "Observational Studies Analyzed Like Randomized Experiments: An application to Postmenopausal Hormone Therapy and Coronary Heart Disease" by Hernan et al. It is available at https://cdn1.sph.harvard.edu/wp-content/uploads/sites/343/2013/03/observational-studies.pdf
The controversy about hormone replacement therapy is fascinating as a case study. Until 2002, essentially all women who reached m...
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