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Gelman & Zelizer (2014) write:

five other methods used for causal inference in observational studies: simple regression, matching, selection modeling, difference in differences, and instrumental variables

What is "selection modeling"?

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It probably refers to something like what is done in Tobit/Heckmann-type Models. This would make sense, because they "model" the "selection". Also, Gelman & Zelizer's next sentence would make sense then

selection modeling is sensitive to untestable distributional assumptions

But admittedly, "selection modelling" is not a common term

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