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A treatment effect is the causal effect of some "treatment" or policy intervention on an outcome variable. Such effects can be estimated with data from randomized or quasi experiments, and clinical trials or with observational data and methods for causal inference.

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Why isn't the Random Variable over which expectation is taken generally written down or note...

Notation is a tricky thing to do well and consistently. It is pretty rare in a book on any difficult stats topic that the notation is going to be perfect and consistent for the entire book. There is a …
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