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Modeling and Multivariate Methods - SAS

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450 Correlations <strong>and</strong> <strong>Multivariate</strong> Techniques Chapter 17<br />

<strong>Multivariate</strong> Platform Options<br />

Figure 17.3 Clusters of Correlations<br />

By default, a 95% bivariate normal density ellipse is shown in each scatterplot. Assuming the variables are<br />

bivariate normally distributed, this ellipse encloses approximately 95% of the points. The narrowness of the<br />

ellipse shows the correlation of the variables. If the ellipse is fairly round <strong>and</strong> is not diagonally oriented, the<br />

variables are uncorrelated. If the ellipse is narrow <strong>and</strong> diagonally oriented, the variables are correlated.<br />

Working with the Scatterplot Matrix<br />

Re-sizing any cell resizes all the cells.<br />

Drag a label cell to another label cell to reorder the matrix.<br />

When you look for patterns in the scatterplot matrix, you can see the variables cluster into groups based on<br />

their correlations. Figure 17.3 shows two clusters of correlations: the first two variables (top, left), <strong>and</strong> the<br />

next four (bottom, right).<br />

Options for Scatterplot Matrix<br />

The red triangle menu for the Scatterplot Matrix lets you tailor the matrix with color <strong>and</strong> density ellipses<br />

<strong>and</strong> by setting the α-level.<br />

Table 17.2 Options for the Scatterplot Matrix<br />

Show Points<br />

Density Ellipses<br />

Shows or hides the points in the scatterplots.<br />

Shows or hides the 95% density ellipses in the scatterplots. Use the Ellipse<br />

α menu to change the α-level.

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