3. Suppose that for a particular data set, we perform hierarchical clustering using single and complete linkages. We obtain two dendrograms. (a) At a certain point on the single linkage dendrogram, the clusters {1,2,3} and {4, 5} fuse. On the complete linkage dendrogram, the clusters {1,2,3} and {4, 5} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell? (b) At a certain point on the single linkage dendrogram, the clusters {5} and {6} fuse. On the complete linkage dendrogram, the clusters {5} and {6} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell?
3. Suppose that for a particular data set, we perform hierarchical clustering using single and complete linkages. We obtain two dendrograms. (a) At a certain point on the single linkage dendrogram, the clusters {1,2,3} and {4, 5} fuse. On the complete linkage dendrogram, the clusters {1,2,3} and {4, 5} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell? (b) At a certain point on the single linkage dendrogram, the clusters {5} and {6} fuse. On the complete linkage dendrogram, the clusters {5} and {6} also fuse at a certain point. Which fusion will occur higher on the tree, or will they fuse at the same height, or is there not enough information to tell?
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
Transcribed Image Text:3. Suppose that for a particular data set, we perform hierarchical clustering using single and
complete linkages. We obtain two dendrograms.
(a) At a certain point on the single linkage dendrogram, the clusters {1,2,3} and {4,5} fuse.
On the complete linkage dendrogram, the clusters {1,2,3} and {4, 5} also fuse at a certain
point. Which fusion will occur higher on the tree, or will they fuse at the same height, or
is there not enough information to tell?
(b) At a certain point on the single linkage dendrogram, the clusters {5} and {6} fuse. On the
complete linkage dendrogram, the clusters {5} and {6} also fuse at a certain point. Which
fusion will occur higher on the tree, or will they fuse at the same height, or is there not
enough information to tell?
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