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A classification of presence/absence based dissimilarity coefficients

F. B. Baulieu1

(1) Natural and Applied Sciences, University of Wisconsin, 54301 Green Bay, WI, USA

Abstract  Several desirable order properties for dissimilarity coefficients based on presence/absence of attributes are given and several popular dissimilarity coefficients are examined with respect to these properties. A characterization for rational functions with linear numerator and linear denominator satisfying all of the desirable properties is given.

Keywords  Measures of association - Profile similarities


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Referenced by
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  1. Warrens, Matthijs J. (2009) On Robinsonian dissimilarities, the consecutive ones property and latent variable models. Advances in Data Analysis and Classification
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  2. Warrens, Matthijs J. (2009) k-Adic Similarity Coefficients for Binary (Presence/Absence) Data. Journal of Classification
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  3. Eck, Nees Jan van (2009) How to normalize cooccurrence data? An analysis of some well-known similarity measures. Journal of the American Society for Information Science and Technology
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  4. Warrens, Matthijs J. (2008) Bounds of Resemblance Measures for Binary (Presence/Absence) Variables. Journal of Classification
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  5. Warrens, Matthijs J. (2008) On the Equivalence of Cohen’s Kappa and the Hubert-Arabie Adjusted Rand Index. Journal of Classification
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  6. Ford, Thomas C. (2008) On the application of classification concepts to systems engineering design and evaluation. Systems Engineering
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  7. Warrens, Matthijs J. (2008) On Association Coefficients for 2×2 Tables and Properties That Do Not Depend on the Marginal Distributions. Psychometrika
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  8. Warrens, Matthijs J. (2008) On the Indeterminacy of Resemblance Measures for Binary (Presence/Absence) Data. Journal of Classification
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  9. Nowicki, Stephen (1994) Temporal patterning of within-song type and between-song type variation in song repertoires. Behavioral Ecology and Sociobiology 34(5)
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  10. Warrens, Matthijs J. (2008) On Similarity Coefficients for 2×2 Tables and Correction for Chance. Psychometrika
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