Measurement Scales (4 of 6)
The first is philosophical and challenges the validity of the notion that there
is some unseen "true" measurement scale that is only being approximated
by the rating scale. The second counter argument accepts the notion of an underlying
scale but considers the examples to be very contrived and unlikely to occur in
real data. Measurement scales used in behavioral research are invariably somewhere
between ordinal and interval scales. In the preference experiment, it may not
be the case that the difference between the ratings one and two is exactly the
same as the difference between five and six, but it is unlikely to be many times
larger either. The scale is roughly interval and it is exceedingly unlikely that
the means on this scale would favor color displays while the means on the "true"
scale would favor the B & W displays.
There are some cases where one can validly argue
that the use of an ordinal instead of a ratio scale seriously distorts the conclusions.
Consider an experiment designed to determine whether 5-year old children are
more distractible than 10-year old children.