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Analyzing Cluster Partition Similarity Using Different Linkage Methods

Explore how well partitions from different cluster analyses (complete-link, single-link, average-link) predict each other's results using a regression-based measure of similarity. Compare the resulting partitions to determine their level of similarity.

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Analyzing Cluster Partition Similarity Using Different Linkage Methods

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  1. Compare Resulting Partitions from Different Cluster Analyses

  2. Compare Results? Example question: How similar are 2 partitions? ex/ single-link: (S&C, Lux, SUV, Sports)(truck)(4wd)(hybrid)(conv) complete-link: (S&C, Lux, SUV, hybrid, Sports)(truck, 4wd, conv) average-link: (S&C, Lux, SUV, Sports)(hybrid)(truck, 4wd, conv) measure of partition similarity (Hubert and Arabie, 1985, J of Classification): regression-based (i.e., directional) use 1 (complete-link) to predict another (average-link), not necessarily same results as if used average-link to predict complete-link.

  3. Compare Results? How well does row (i) partition predict the column (j) partition?

  4. Compare Results? ex/ use complete-link to predict average-link: (S&C,Lux,SUV,Sports) (hybrid) (truck,4wd,conv) (S&C,Lux,SUV,hybrid,Sports) 4 1 0 | 5 (truck,4wd,conv) 0 0 3 | 3 4 1 3 | 8 Pretty similar…

  5. Compare Results? ex/use complete link to predict single link? (S&C,Lux,SUV,Sports) (truck) (4wd) (hybrid) (conv) (S&C,Lux,SUV,hybrid,Sports) 4 0 0 1 0 | 5 (truck,4wd,conv) 0 1 1 0 1 | 3 4 1 1 1 1 | 8

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