Illustrative Examples of Clustering Using the Mixture Method and Two Comparable Methods from SAS.
CORNELL UNIV ITHACA NY MATHEMATICAL SCIENCES INST
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The technique of clustering uses the measurements on a set of element to identify clusters or groups of elements such that there is relative homogeneity within the groups and heterogeneity between the groups. In the associated technical report the mixture model approach is explained in detail and discussed in relation to other clustering techniques. Under this approach to clustering, the elements are assumed to be a sample from a mixture of several populations in various proportions. The practical application to two real data sets is considered here with the density function in each underlying population assumed to be normal. To provide a base for comparison, two SAS clustering methods with similar assumptions are also considered. The data are analysed using KMM-Normal mixture model method, SAS CLUSTER- Wards method, and SAS CLUSTER-Wards method, and SAS CLUSTER-EML method. The results are discussed.
- Statistics and Probability