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#causality #has-images #statistics
In defining the backdoor criterion (Definition 4.1) for the backdoor adjustment (Theorem 4.2), not only did we specify that the adjustment set 𝑊 blocks all backdoor paths, but we also specified that 𝑊 does not contain any descendants of 𝑇 . Why? There are two categories of things that could go wrong if we condition on descendants of 𝑇: 1. We block the flow of causation from 𝑇 to 𝑌. 2. We induce non-causal association between 𝑇 and 𝑌.
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