LEVELS
OF MEASUREMENT
A
level of measurement is the precision by which a variable is measured. For 50
years, with few detractors, science has used the Stevens (1951) typology of
measurement levels. There are three things to remember about this typology: (1)
anything that can be measured falls into one of the four types; (2) the higher
the type, the more precision in measurement; and (3) every level up contains
all the properties of the previous level. The four levels of measurement, from
lowest to highest, are:
·
Nominal
·
Ordinal
·
Interval
·
Ratio
The nominal level of measurement describes
variables that are categorical in nature. The characteristics of the data
you're collecting fall into distinct categories. If there are a limited number
of distinct categories (usually only two), then you're dealing with a discrete variable. If there are an unlimited or
infinite number of distinct categories, then you're dealing with a continuous variable. Nominal variables include
demographic characteristics like sex, race, and religion.
The ordinal level of measurement describes
variables that can be ordered or ranked in some order of importance. It
describes most judgments about things, such as big or little, strong or weak.
Most opinion and attitude scales or indexes in the social sciences are ordinal
in nature.
The interval level of measurement describes
variables that have more or less equal intervals, or meaningful distances
between their ranks. For example, if you were to ask somebody if they were
first, second, or third generation immigrant, the assumption is that the
distance, or number of years, between each generation is the same. All crime
rates in criminal justice are interval level measures, as is any kind of
rate.
The ratio level of measurement describes
variables that have equal intervals and a fixed zero (or reference) point. It
is possible to have zero income, zero education, and no involvement in crime,
but rarely do we see ratio level variables in social science since it's almost impossible
to have zero attitudes on things, although "not at all",
"often", and "twice as often" might qualify as ratio level
measurement.
Advanced statistics require at least interval level measurement, so the
researcher always strives for this level, accepting ordinal level (which is the
most common) only when they have to. Variables should be conceptually and
operationally defined with levels of measurement in mind since it's going to
affect how well you can analyze your data later on.
No comments:
Post a Comment