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 language | English |
|---|---|
| Pages (from-to) | 531-545 |
| Number of pages | 15 |
| Journal | International Journal of Approximate Reasoning |
| Volume | 45 |
| Issue number | 3 |
| DOIs | |
| State | Published - Aug 2007 |
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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 journal › Article
}
TY - JOUR
T1 - Consensus and dissention
T2 - A measure of ordinal dispersion
AU - Tastle, William J.
AU - Wierman, Mark J.
PY - 2007/8
Y1 - 2007/8
N2 - 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.
AB - 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.
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UR - http://www.scopus.com/inward/citedby.url?scp=34249938123&partnerID=8YFLogxK
U2 - 10.1016/j.ijar.2006.06.024
DO - 10.1016/j.ijar.2006.06.024
M3 - Article
VL - 45
SP - 531
EP - 545
JO - International Journal of Approximate Reasoning
JF - International Journal of Approximate Reasoning
SN - 0888-613X
IS - 3
ER -