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Cluster analysis linkage methods

Hierarchical cluster analysis (Section 6.4)—with the result represented by a dendrogram—is a complementary, nonlinear, and widely used method for cluster analysis. The distance measure used was dTANi (Equation 6.5), and the cluster mode was average linkage. The dendrogram in Figure 6.6 (without the chemical structures) was obtained from the descriptor matrix X by... [Pg.273]

Of the four different methods of cluster analysis applied, the method of Ward described in the Clustan User Manual (10), worked best when compared to the single-, complete-, or average-linkage methods. Using Ward s method, two clusters, Gn and Gm, are fused when by pooling the variance within two existing clusters the variance of the so formed clusters increases minimally. The variance or the sum of squares within the classes will be chosen as the index h of a partition. [Pg.147]

Figure 7.1 Authentication of monovarietal virgin olive oils results of applying clustering analysis to volatile compounds. The Mahattan (city block) distance metric and Ward s amalgamation methods were used in (a) the Squared Euclidean distance and (b) complete linkage amalgamation methods. Note A, cv. Arbequina (6) C, cv. Coratina (6) K, cv. Koroneiki (6) P, cv. Picual (6) 1, harvest 1991 2, harvest 1992. Olives were harvested at three levels of maturity (unripe, normal, overripe) (source SEXIA Group-Instituto de la Grasa, Seville, Spain). Figure 7.1 Authentication of monovarietal virgin olive oils results of applying clustering analysis to volatile compounds. The Mahattan (city block) distance metric and Ward s amalgamation methods were used in (a) the Squared Euclidean distance and (b) complete linkage amalgamation methods. Note A, cv. Arbequina (6) C, cv. Coratina (6) K, cv. Koroneiki (6) P, cv. Picual (6) 1, harvest 1991 2, harvest 1992. Olives were harvested at three levels of maturity (unripe, normal, overripe) (source SEXIA Group-Instituto de la Grasa, Seville, Spain).
Using the correlation matrix, perform cluster analysis using the furthest neighbour method. Illustrate each stage of linkage. [Pg.257]

Fig. 17.3. Tree displaying the relationships between the hexapeptide sequence patterns after cluster analysis of the pairwise distances between patterns using the method of average-linkage clustering... Fig. 17.3. Tree displaying the relationships between the hexapeptide sequence patterns after cluster analysis of the pairwise distances between patterns using the method of average-linkage clustering...
Dendrograms for cluster analysis of the hair data in Table 5.1 based on the Euclidean distance and the single linkage (A) or Ward method (B). [Pg.179]

The result of a cluster analysis using a single linkage method (without transformation of data) is given in the two dendrograms of FIGURES 4 and 5. [Pg.36]


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