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Clarity comments on Open thread, Dec. 21 - Dec. 27, 2015 - Less Wrong Discussion
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I am not following your mixture model idea. For every data point you know if it comes from the RCT or observational study. You don't need uncertainty about treatment assignment. What you need is figuring out how to massage observational data to get causal conclusions (e.g. what I think about all day long).
If you have specific observational data you want to look at, email me if you want to chat more.
You specialise in identifying the determinants of biases in causal inference? Just curious :) Interesting
And how to make those biases go away, yes.