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The first and second element of the couples (x, pseudoRandom(x)) will be statistically independent while causally linked
posted Mar 26, 2022
When you talk of "statistically independent" which variable is it you are measuring? And, when talking about "causally linked", what are you referring to? It is my impression in the former case you are talking about "the value of x", whereas in the latter case you are talking about "when x changes". So sure, there is a statistically independent observation, and a causal link, but they don't point to the same variable. Hence, I find this claim highly misleading, as it seems to imply the VALUE of x is causally linked; it isn't. –
Mar 26, 2022 12:08
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Statistical independence only makes sense for probabilities of events
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"A common definition for "orthogonal" is "statistically independent"" opposes "The meaning of "X is orthogonal to Y" shouldn't imply X can’t have a causal relation with Y"
is not used.