ISSN:
1432-1343
Keywords:
Combinatorial enumeration
;
Dendrogram
;
Hierarchical cluster analysis
;
Shape
;
Significance testing
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
Abstract A cluster diagram is a rooted planar tree that depicts the hierarchical agglomeration of objects into groups of increasing size. On the null hypothesis that at each stage of the clustering procedure all possible joins are equally probable, we derive the probability distributions for two properties of these diagrams: (1)S, the number of single objects previously ungrouped that are joined in the final stages of clustering, and (2)m k, the number of groups ofk+1 objects that are formed during the process. Ecological applications of statistical tests for these properties are described and illustrated with data from weed communities of Saskatchewan fields.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01901669
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