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Basic Analysis and Graphing - SAS

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Chapter 6 Performing Contingency <strong>Analysis</strong> 195<br />

Correspondence <strong>Analysis</strong><br />

Table 6.5 Descriptions of the <strong>Analysis</strong> of Means for Proportions Options (Continued)<br />

Display Options<br />

Shows or hides the decision limits, decision limit shading, center line,<br />

<strong>and</strong> needles.<br />

Related Information<br />

• “Example of <strong>Analysis</strong> of Means for Proportions” on page 201<br />

Correspondence <strong>Analysis</strong><br />

Correspondence analysis is a graphical technique to show which rows or columns of a frequency table have<br />

similar patterns of counts. In the correspondence analysis plot, there is a point for each row <strong>and</strong> for each<br />

column. Use Correspondence <strong>Analysis</strong> when you have many levels, making it difficult to derive useful<br />

information from the mosaic plot.<br />

Underst<strong>and</strong>ing Correspondence <strong>Analysis</strong> Plots<br />

The row profile can be defined as the set of rowwise rates, or in other words, the counts in a row divided by<br />

the total count for that row. If two rows have very similar row profiles, their points in the correspondence<br />

analysis plot are close together. Squared distances between row points are approximately proportional to<br />

Chi-square distances that test the homogeneity between the pair of rows.<br />

Column <strong>and</strong> row profiles are alike because the problem is defined symmetrically. The distance between a<br />

row point <strong>and</strong> a column point has no meaning. However, the directions of columns <strong>and</strong> rows from the<br />

origin are meaningful, <strong>and</strong> the relationships help interpret the plot.<br />

Correspondence <strong>Analysis</strong> Options<br />

Use the options in the red triangle menu next to Correspondence <strong>Analysis</strong> to produce a 3-D scatterplot <strong>and</strong><br />

add column properties to the data table.<br />

Table 6.6 Descriptions of the Correspondence <strong>Analysis</strong> Options<br />

3D Correspondence <strong>Analysis</strong><br />

Save Value Ordering<br />

Produces a 3-D scatterplot.<br />

Takes the order of the levels sorted by the first correspondence score<br />

coefficient <strong>and</strong> makes a column property for both the X <strong>and</strong> Y<br />

columns.<br />

The Details Report<br />

The Details report contains statistical information about the correspondence analysis <strong>and</strong> shows the values<br />

used in the plot.

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