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Distribution of some similarity coefficients for dyadic binary data in the case of associated attributes
- Source :
- University of Groningen, Journal of Classification, 7(1), 5-31. SPRINGER
- Publication Year :
- 1990
- Publisher :
- Springer Science and Business Media LLC, 1990.
-
Abstract
- Parameters are derived of distributions of three coefficients of similarity between pairs (dyads) of operational taxonomic units for multivariate binary data (presence/absence of attributes) under statistical independence. These are applied to test independence for dyadic data. Association among attributes within operational taxonomic units is allowed. It is also permissible for the two units in the dyad to be drawn from different populations having different presence probabilities of attributes. The variance of the distribution of the similarity coefficients under statistical independence is shown to be relatively large in many empirical situations. This result implies that the practical interpretation of these coefficients requires much care. An application using the Jaccard index is given for the assessment of consensus between psychotherapists and their clients.
- Subjects :
- Multivariate statistics
Jaccard index
Statistical parameter
Library and Information Sciences
Mathematics (miscellaneous)
Similarity (network science)
Binary data
Statistics
Econometrics
Simple matching coefficient
Psychology (miscellaneous)
Statistics, Probability and Uncertainty
Beta distribution
Independence (probability theory)
Mathematics
Subjects
Details
- ISSN :
- 14321343 and 01764268
- Volume :
- 7
- Database :
- OpenAIRE
- Journal :
- Journal of Classification
- Accession number :
- edsair.doi.dedup.....24b76185d9ae7844f1956e79f4d5b175