The Positivity-Unconfoundedness Tradeoff
Although conditioning on more covariates could lead to a higher chance of satisfying unconfoundedness, it can lead to a higher chance of violating positivity. As we increase the dimension of the covariates, we make the subgroups for any level 𝑥 of the covariates smaller.
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- (no access) - Introduction_to_Causal_Inference-Nov19_2020-Neal.pdf, p21
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