On minimum spanning trees and the intergradation of clusters |
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| Authors: | Steven M Warshauer and Richard Smosna |
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| Institution: | (1) Department of Geology and Geography, West Virginia University, 26506 Morgantown, West Virginia, USA |
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| Abstract: | Cluster analysis groups samples, but does not generally show gradations between clusters. To illustrate these relationships, principal-coordinate analysis and multidimensional scaling can be employed, but these methods may not be appropriate due to structural distortion. A minimum spanning tree (MST) computes a point-to-point path through the original matrix, and clusters are mapped on the MST diagram. The MST linkages, therefore, provide a natural continuum between the clusters, without distortion. Forty-six Silurian Tonoloway Limestone samples were analyzed for 16 sedimentary features indicative of subaerial exposure. Cluster analysis identified nine clusters which were reduced to five final, ordered groups by MST. |
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| Keywords: | multivariate analysis cluster analysis structural distortion minimum spanning tree Silurian Tonoloway Limestone |
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