Extending Gower's general coefficient of similarity to ordinal characters

Authors
Citation
J. Podani, Extending Gower's general coefficient of similarity to ordinal characters, TAXON, 48(2), 1999, pp. 331-340
Citations number
29
Categorie Soggetti
Plant Sciences
Journal title
TAXON
ISSN journal
00400262 → ACNP
Volume
48
Issue
2
Year of publication
1999
Pages
331 - 340
Database
ISI
SICI code
0040-0262(199905)48:2<331:EGGCOS>2.0.ZU;2-#
Abstract
The possibilities of calculating similarity based on ordinal characters are evaluated by distinguishing subtypes of the ordinal scale. Multivariate an alysis is most problematic when ordinal variables appear together with othe r scale types in the data. This difficulty is solved by extending Gower's g eneral coefficient of similarity to ordinal data types, facilitating cluste r analysis and multidimensional scaling. Two alternatives, a non-metric and a metric version, are offered. The modified formula implies that ordinal v ariables are equally weighted with the others, and that partially and fully ranked data are both applicable, due to the inherent standardisation proce dure. A morphological data set derived for the moss genus Tortula illustrat es the new approach.