Consensus and dissention

A measure of ordinal dispersion

William J. Tastle, Mark J. Wierman

Research output: Contribution to journalArticle

67 Citations (Scopus)

Abstract

A new measure of dispersion is introduced as a representation of consensus (agreement) and dissention (disagreement). Building on the generally accepted Shannon entropy, this measure utilizes a probability distribution and the distance between categories to produce a value spanning the unit interval. The measure is applied to the Likert scale (or any ordinal scale) to determine degrees of consensus or agreement. Using this measure, data on ordinal scales can be given a value of dispersion that is both logically and theoretically sound.

Original languageEnglish
Pages (from-to)531-545
Number of pages15
JournalInternational Journal of Approximate Reasoning
Volume45
Issue number3
DOIs
StatePublished - Aug 2007

Fingerprint

Ordinal Scale
Probability distributions
Measure Data
Entropy
Shannon Entropy
Acoustic waves
Probability Distribution
Interval
Unit
Sound
Probability distribution

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Electrical and Electronic Engineering
  • Statistics, Probability and Uncertainty
  • Information Systems and Management
  • Information Systems
  • Computer Science Applications
  • Artificial Intelligence

Cite this

Consensus and dissention : A measure of ordinal dispersion. / Tastle, William J.; Wierman, Mark J.

In: International Journal of Approximate Reasoning, Vol. 45, No. 3, 08.2007, p. 531-545.

Research output: Contribution to journalArticle

Tastle, William J. ; Wierman, Mark J. / Consensus and dissention : A measure of ordinal dispersion. In: International Journal of Approximate Reasoning. 2007 ; Vol. 45, No. 3. pp. 531-545.
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