Journal
INFORMATION SCIENCES
Volume 181, Issue 12, Pages 2529-2549Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.02.001
Keywords
Consensus; Concordance; Preference ranking; Kendall W; Kendall tau; Likert item; All common subsequences; String kernels; Rank correlation
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Funding
- University of Ulster
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This paper deals with the measurement of concordance and the construction of consensus in preference data, either in the form of preference rankings or in the form of response distributions with Likert-items. We propose a set of axioms of concordance in preference orderings and a new class of concordance measures. The measures outperform classic measures like Kendall's tau and W and Spearman's rho in sensitivity and apply to large sets of orderings instead of just to pairs of orderings. For sets of N orderings of n items, we present very efficient and flexible algorithms that have a time complexity of only O(Nn(2)). Remarkably, the algorithms also allow for fast calculation of all longest common subsequences of the full set of orderings. We experimentally demonstrate the performance of the algorithms. A new and simple measure for assessing concordance on Likert-items is proposed. (C) 2011 Elsevier Inc. All rights reserved.
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