Notes on "The Book of Why"
Confounder and Mediator (Chapter 4)
Control for a mediator (e.g., add to a regression model) could block the effect between the treatment and the outcome.
You should only control for $Z$ if you have a "strong prior reason" ... This "strong prior reason" is nothing more or less than a causal assumption.
Simpson's Paradox and Lord's Paradox (Chapter 6)
Change in the causal assumption should affect the way we formulate the effect between the treatment and the outcome.
Reference
- Pearl, Judea and Dana Mackenzie. The Book of Why: The New Science of Cause and Effect. Basic Books, 2018.