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At the risk of making an idiot of myself in public: most of this is not wrong, right? I cannot really comment on the statement that there are usually too few covariates in ph, but it is strictly more likely that you can block the paths that need to be blocked if you have access to more variables.

I think the paragraph, and the paragraphs surrounding it, are both talking about modelling the likelihood of treatment; it's using 'data' as a short hand for the data within that model, not the number of covariates in the broader dataset that you have access to

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