Ordinal Scale
Initial Definition

An ordinal scale is a scale (of measurement) that uses labels to classify cases (measurements) into ordered classes.


Note that an ordinal scale implies that the classes must be put into an order such that each case in one class is considered greater than (or less than) every case in another class. Cases in the same class are considered to be equivalent.


Some examples of variables that use ordinal scales would be movie ratings, political affiliation, military rank, etc.


Example

One example of an ordinal scale could be "movie ratings". For example, students in a class could rate a movie on the scale below.

Movie Rating Chart

A sample data set is given below left. Notice in the graph that the horizontal direction "left" implies negative or bad responses to the movie, while the horizontal direction "right" implies positive or good responses to the movie. In this type of scale, the order of classes cannot be changed, (as illustrated in the example graph below right).

Ordinal Scale Example

Notice that the difference between a movie with a five star rating and a movie with a four star rating can't be quantified, and may not be the same as the difference between a movie with a four star rating and a movie with a three star rating. Only the ordering of the classes can't be changed. See the illustration below.

Position example