Ordinal Data
Author: Ernad Mujakic
Date: 2025-07-07
Ordinal data is a type of Categorical Data that represents categories that a defined order or ranking. Unlike Nominal Data, which has no intrinsic ordering, ordinal data allows for the comparison of the relative positioning of items.
Unequal Intervals
A key property of ordinal data is that the interval between adjacent ranks is not necessarily equal. For example, the interval between "expensive" and "average" is not necessarily equal to the interval between "cheap" and "average."
Non-Numeric
Another key property of Ordinal data is that it is non-numeric. While ordinal variables may be represented by numbers (e.g. 1, 2, 3), these numbers are only labels that indicate orders and not precise values.
Examples
Examples of ordinal data include attributes like education levels (e.g. High School, Bachelor's, Masters), or survey responses (e.g. Unsatisfied, Neutral, Satisfied).
Analysis
The analysis of ordinal data requires specific statistical techniques that respect the inherent order of the categories while acknowledging that the intervals between them are not necessarily uniform.
Descriptive Statistics
- The Median and Mode can be used to summarize the central tendencies and identify the most frequent categories.
- Bar Charts can visualize the frequency distribution of categories and illustrate the most common or uncommon values.
Statistical Techniques
- Because ordinal data does not meet the assumptions required for Parametric Tests, Non-Parametric Tests, such as Mann-Whitney U Test or Kruskal-Wallis Test are often used to analyze the difference between groups.
- Spearman's Rank correlation can be used to assess relationships between ordinal attributes, providing potential insights on the strength and direction of correlations.
References
- J. Han and M. Kamber, Data Mining : Concepts and Techniques, 3rd ed. Haryana, India ; Burlington, Ma: Elsevier, 2018.
- “Types of Data | Introduction to Data Science,” www.stat.lsa.umich.edu. https://dept.stat.lsa.umich.edu/~kshedden/introds/topics/types_of_data/
- “Ordinal data,” Wikipedia, Apr. 03, 2020. https://en.wikipedia.org/wiki/Ordinal_data