Assign numbers that can be used to identify & classify objects.
Numbers have no value.
Splits data into mutually exclusive categories (dichotomous).
What is your hair color?
B-Black
W-White
Y-Yellow
R-Red
G-Green
Where do you live?
1-Pahang
2-Kuala Lumpur
3-Selangor
What is your gender?
1-Man
2-Woman
What is your ethnic group?
1-Malay
2-Chinese
3-Indian
4-Others
Ranks data in some order.
Attributes are ordered.
The ranking of the data without establishing the degree of variation between them.
The order of the values is what’s important and significant, but the differences between each one is not really known.
Take a look at the example below. In each case, we know that a #4 is better than a #3 or #2, but we don’t know–and cannot quantify–how much better it is. For example, is the difference between “OK” and “Unhappy” the same as the difference between “Very Happy” and “Happy?” We can’t say.
How long do you exercise your body a day?
20 minutes
30 minutes
40 minutes.
How do you feel today?
Very unhappy
Unhappy
OK
Happy
Very happy
How satisfied are you with our service?
Very unsatisfied
Unsatisfied
Neutral
Somewhat satisfied
Very satisfied
Numeric scales in which we know both the order and the exact differences between the values.
Differences can be interpreted directly. For example, the difference between 60 and 50 degrees is a measurable 10 degrees.
Interval scales not only tell us about order, but also about the value between each item.
This scale does not have a “true zero.” For example, there is no such thing as “no temperature,” at least not with Celsius. In the case of interval scales, zero doesn’t mean the absence of value, but is actually another number used on the scale, like 0 degrees Celsius.
consider this: 10 degrees C + 10 degrees C = 20 degrees C. No problem there. 20 degrees C is not twice as hot as 10 degrees C, however, because there is no such thing as “no temperature” when it comes to the Celsius scale. When converted to Fahrenheit, it’s clear: 10C=50F and 20C=68F, which is clearly not twice as hot.
Starts with absolute zero, indicating that a particular characteristic for a variable is not present.
Tell us about the order and the exact value between units.
Good examples of ratio variables include height, weight, and duration.
Ratio scales provide a wealth of possibilities when it comes to statistical analysis. These variables can be meaningfully added, subtracted, multiplied, divided (ratios).
Note: The interval scale has 1 as an arbitrary starting point. The ratio scale has the natural origin 0, which is meaningful.
One of the assumptions of multiple regression & correlation is that IV & DV have a linear relationship. The DV must be continuous & at least interval-scale.
In summary, nominal variables are used to “name,” or label a series of values. Ordinal scales provide good information about the order of choices, such as in a customer satisfaction survey. Interval scales give us the order of values + the ability to quantify the difference between each one. Finally, Ratio scales give us the ultimate–order, interval values, plus the ability to calculate ratios since a “true zero” can be defined.
Bougie, R., & Sekaran, U. (2019). Research methods for business: A skill building approach (8th Ed.). John Wiley & Sons. Click here
Types of Data & Measurement Scales: Nominal, Ordinal, Interval and Ratio. Click here.