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Modeling and Multivariate Methods - SAS

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474 Clustering Data Chapter 18<br />

Normal Mixtures<br />

Outlier Cluster is used to fit a Uniform cluster to catch any outliers that do not fall into any of the<br />

Normal clusters. If this cluster is created, it is designated cluster 0.<br />

Tours is the number of independent restarts of estimation process, each with different starting values. This<br />

helps to guard against finding local solutions.<br />

Maximum Iterations<br />

algorithm.<br />

is the maximum number of iterations of the convergence stage of the EM<br />

Converge Criteria is the difference in the likelihood at which the EM iterations stop.<br />

For an example of Normal Mixtures, open the Iris.jmp sample data table. This data set was first introduced<br />

by Fisher (1936), <strong>and</strong> includes four different measurements: sepal length, sepal width, petal length, <strong>and</strong><br />

petal width, performed on samples of 50 each for three species of iris.<br />

Note: Your results may not exactly match these results due to the r<strong>and</strong>om selection of initial centers.<br />

On the Cluster launch dialog, assign all four variables to the Y, Columns role, select KMeans from Method<br />

menu, <strong>and</strong> click OK. Select Normal Mixtures from the Method menu, specify 3 for the Number of<br />

Clusters, <strong>and</strong> click Go. The report is shown in Figure 18.8.<br />

Figure 18.8 Normal Mixtures Report<br />

The report gives summary statistics for each cluster:<br />

• count of number of observations <strong>and</strong> proportions<br />

• means for each variable<br />

• st<strong>and</strong>ard deviations for each variable.<br />

• correlations between variables

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