Say I have some data with no labels. Each column is a separate numerical measurement, with each entry in the column being a single measurement of that type. I do not know anything else beyond that, however; what is being measured, or how it was measured, just that it was.
Is there any method to computationally determine the measurement level (nominal, ordinal, interval, ratio) of each column? Are there any methods that would work that would not depend on looking at the data in other columns?
How about if I have categorical strings instead of numerical measurements? Is there a way to determine nominal versus ordinal?