Re:Type I and Type II Errors: The Inevitable Errors in Optim...
by thaumasiotes on Thursday April 09, 2020 @01:13PM
(#22824795)
> Imagine mathematicians calling commutative groups abelian? How do you remember if xy=yx there?
Actually, even if you ignore jerf's response, this is different in an important way from the "Type I" / "Type II" terminology.
Group in which the group operation is commutative: "Abelian group".
Group with no guarantees except the group axioms: "group".
The special one is marked and the non-special one is unmarked. In contrast, the designations "Type I" and "Type II" are parallel; it's not at all obvious which one is the default and which one deviates from the default.
Actually, even if you ignore jerf's response, this is different in an important way from the "Type I" / "Type II" terminology.
Group in which the group operation is commutative: "Abelian group".
Group with no guarantees except the group axioms: "group".
The special one is marked and the non-special one is unmarked. In contrast, the designations "Type I" and "Type II" are parallel; it's not at all obvious which one is the default and which one deviates from the default.