In his post, [EMAIL PROTECTED] (Paul W. Jeffries) wrote:
> I have a question that must have a simple response...but I don't see
> it right now. The textbooks say that a ratio scale has the
> properties of an interval scale plus a true zero point.
Okay.
> This implies that any scale that has a true zero point should have
> the cardinal property of an interval scale; namely, equal intervals
> represent equal amounts of the property being measured.
I do not see how the second statement follows from the first.
Statement 1: (A implies B) and (A implies C)
where A = is a ratio scale
B = is an interval scale
C = has a true zero
Statement 2: C implies B
But does Statement 2 imply Statement 1? Consider another example:
A = is an elephant
B = is large
C = is a mammal
Then [(A-->B) and (A-->C)] is true, but C-->A is not true.
--
John Uebersax
[EMAIL PROTECTED]
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