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Do 03.05.2012 15:30 - Do 03.05.2012 17:00 Visualization and Benchmarking of Cluster Solutions Vortrag von Friedrich Leisch, BOKU Wien
descr_en: Centroid-based partitioning cluster analysis is a popular method for
segmenting data into more homogeneous subgroups. Visualization can
help tremendously to understand the positions of these subgroups
relative to each other in higher dimensional spaces and to assess the
quality of partitions. In this talk we present several improvements on
existing cluster displays using neighborhood graphs with edge weights
based on cluster separation and convex hulls of inner and outer
cluster regions. Using symbols or complete high-level plots in the
nodes of the graph help to understand the association of background
variables and clusters.

Visualizations can also help to assess the stability of cluster
solutions or compare different partitions. By sampling from the
empirical distribution of a given data set and clustering each of
these bootstrap samples, a sample of iid observations of complete
partitions is derived. Interesting characteristics of these partitions
can then be examined using standard techniques from exploratory data
analysis and inferential statistics, most importantly standard
statistical test procedures. To demonstrate the usefulness in
practice, the theoretical results are applied to benchmark studies
based on artificial and real world data.


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