IJIJI Let dsingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage andaverage linkage, respectively. Briefly ellaborate whether the following inequality holds or not:d'singledaverageII The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and withelectric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom.x1 x26.77 6.496.48 6.836.37 6.096.11 6.636.62 6.76With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular,d) If the tree is cut at a height (distance) h = 0.27, how many clusters are formed at that value h and which sizes do they have?

### Part I: Inequality between Single Linkage and Average Linkage DissimilaritiesSingle linkage and…

Answered: IJ IJ I Let dsingle, daverage be the…

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

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Chapter11: Data Analysis And Probability

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I Let dr single dcomplete IJ be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and complete linkage, respectively. Briefly ellaborate whether the following inequality holds or not: single d IJ
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IJ I Let dsingle, daverage be the dissimilarities between a generic pair of clusters I, J. As the names indicate, these dissimilarities are built using single linkage and average linkage, respectively. Briefly ellaborate whether the following inequality holds or not: dsingle IJ Javerage IJ II The following data are acidity measurements (in pH scale) of n = 5 soil samples. The variables measured are results obtained with litmus paper (1) and with electric probe (x2), and the samples (individuals) are labelled as usual 1 to 5 from top to bottom. x1 x2 6.77 6.49 6.48 6.83 6.37 6.09 6.11 6.63 6.62 6.76 With these data, perform agglomerative clustering using the euclidean metric and average linkage. In particular, a) Compute and write the distance matrix between individuals, then report the steps of agglomerative clustering. At each stage of clustering, state the dissimilarity matrix and the new cluster formed.
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