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> E.g. a U shape in the scatterplot may have a zero correlation coefficient but is not conditionally independent. Ok this is correct, but has nothing to do wit
by bdjsiqoocwk 2y ago
> E.g. a U shape in the scatterplot may have a zero correlation coefficient but is not conditionally independent.
Ok this is correct, but has nothing to do with causality. Whether or not two variables are correlated and whether or not they are independent, and when one does or doesn't imply the other, is a conversation that can be had without resorting to the concept of causality at all. And in fact that's how the subject is taught at an introductory level basically 100% of the times.
- cubefox 2y ago> Ok this is correct, but has nothing to do with causality. It does. Dependence and independence have a lot to do with causation, as the article explains. > Whether or not two variables are correlated and whether or not they are independent, and when one does or doesn't imply the other, is a conversation that can be had without resorting to the concept of causality at all. Yes, but this is irrelevant. It's like saying "whether or not someone is married is a conversation that can be had without resorting to the concept of a bachelor at all". You can talk about (in)dependence without talking about causation, but you can't talk in detail about causation without talking about (in)dependence.