When I learned about conditional probability, I found this statement:
if A is not independent of B then also B is not independent of A. Formally, if P(A) ≠ P(A|B) then P(B) ≠ P(B|A).
I think “not independent” is the same as “dependent”, right?
So does that mean this statement is also correct: “if A is dependent on B then B is also dependent on A”? I’m a little bit confused because in my mother language, the translation of “dependent” is directed word that’s not symmetrical.
In statistics, “dependent” and “not independent” have the same meaning. There is no inherent notion of causation.
In regular English, I would say that “dependent” implies causation. Dinner temperature depends on oven temperature, not the other way around.