Measuring disagreement in groups facing limited-choice problems

  • Authors:
  • Brian Whitworth;Roy Felton

  • Affiliations:
  • Manukau Institute of Technology, Auckland, New Zealand;Manukau Institute of Technology, Auckland, New Zealand

  • Venue:
  • ACM SIGMIS Database
  • Year:
  • 1999

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Abstract

Agreement is an important concept in group interaction, both for computer-mediated and face-to-face groups. This paper presents a measure of disagreement, D, for groups facing limited-choice problems, based on the average pair-wise separations between group member responses. It allows a meaningful disagreement value to be assigned to any group response pattern. The same logic also provides an individual level measure, d, giving the disagreement of individuals within the group.The properties of this measure are explored and found to be similar to those expected of a measure of disagreement. For nominal data, such as produced by questionnaire responses, D offers a standard scale of disagreement from 0 to 1 for any size group facing any number of mutually exclusive choices. The measures can be inverted to show agreement, although this does not necessarily predict group coalescence, as polarized groups can also contain considerable agreement.The measure can be extended to ranked, interval, and ratio-scale solution choices. In this case, D is equal to twice the variance of the solution scores. The existence of an equivalent measure of ecological diversity further suggests the possibility of a generalized concept of dispersion. An example application is given, illustrating how disagreement at both the individual and group levels can be meaningfully and usefully represented by d and D.