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Ordinal data is a categorical, statistical data type where the variables have natural, ordered categories and the distances between the categories are not known. [1]: 2 These data exist on an ordinal scale, one of four levels of measurement described by S. S. Stevens in 1946.
The ordinal scale places events in order, but there is no attempt to make the intervals of the scale equal in terms of some rule. Rank orders represent ordinal scales and are frequently used in research relating to qualitative phenomena. A student's rank in his graduation class involves the use of an ordinal scale.
The Beck Anxiety Inventory (BAI) is a formative assessment and rating scale of anxiety. This self-report inventory, or 21-item questionnaire uses a scale (social sciences); the BAI is an ordinal scale; more specifically, a Likert scale that measures the scale quality of magnitude of anxiety. [1]
Generalized Anxiety Disorder 7 (GAD-7) [4] [5] Hamilton Anxiety Scale (HAM-A) [6] [7] Hospital Anxiety and Depression Scale; Panic and Agoraphobia Scale (PAS) Panic Disorder Severity Scale (PDSS) PTSD Symptom Scale – Self-Report Version; Screen for child anxiety related disorders; Social Phobia and Anxiety Inventory-Brief form; Social Phobia ...
Scaling of data: One of the properties of the tests is the scale of the data, which can be interval-based, ordinal or nominal. [3] Nominal scale is also known as categorical. [6] Interval scale is also known as numerical. [6] When categorical data has only two possibilities, it is called binary or dichotomous. [1]
An example is a preference ranking. Some data are measured at the interval level. Numbers indicate the magnitude of difference between items, but there is no absolute zero point. Examples are attitude scales and opinion scales. Some data are measured at the ratio level. Numbers indicate magnitude of difference and there is a fixed zero point.
The reliability scores of the scales in terms of Cronbach's alpha scores rate the Depression scale at 0.91, the Anxiety scale at 0.84, and the Stress scale at 0.90 in the normative sample. The means and standard deviations for each scale are 6.34 and 6.97 for depression, 4.7 and 4.91 for anxiety, and 10.11 and 7.91 for stress, respectively.
In fact, there may also appear phenomena which even question the ordinal scale level in Likert scales. [21] For example, in a set of items A, B, C rated with a Likert scale circular relations like A > B, B > C and C > A can appear. This violates the axiom of transitivity for the ordinal scale.