University of Michigan - Ann Arbor

Must take into account existing health condition disparities that cause difference in base mortality rate.
Thus we define : 
1. B : B=1-->Losing at Russian Roulette i.e. bullet in the barrel ; B=0--> No bullet in the barrel.
2. H : H=1-->All other health factors that cause death ; H=0--> other factors that cause survival


Building Correct Structural Diagram

Cinelli, Carlos, and Judea Pearl. “Generalizing Experimental Results by Leveraging Knowledge of Mechanisms.” Technical Report - UCLA, 10 Dec. 2019.

https://ftp.cs.ucla.edu/pub/stat_ser/r492.pdf

Generalizing Experimental Results by
Leveraging Knowledge of Mechanisms

Correct Causal Diagram

1. S is d-separate from Y. This model is thus, transportable.
2. Absence of an edge(directed/bi-directed) between H and B denotes that they are independent according to the first assumption of the paper. 
3. Lack of a selection node on B implies that we expect the effect of Russian Roulette on mortality rate, in both NYC and LA to be the same.
4. H must be blocked to prevent disparity and have a clean estimate. However H is un-observable and cannot be blocked via mediator (there are none)

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