Basic Analysis and Graphing - SAS

196 Performing Contingency Analysis Chapter 6
Cochran-Mantel-Haenszel Test
Table 6.7 Description of the Details Report
Singular Value
Inertia
Portion
Cumulative
X variable (Cheese) c1,
c2, c3
Y variable (Response) c1,
c2, c3
Provides the singular value decomposition of the contingency table. For the
formula, see “Statistical Details for the Details Report” on page 214.
Lists the square of the singular values, reflecting the relative variation
accounted for in the canonical dimensions.
Portion of inertia with respect to the total inertia.
Shows the cumulative portion of inertia. If the first two singular values
capture the bulk of the inertia, then the 2-D correspondence analysis plot is
sufficient to show the relationships in the table.
The values plotted on the Correspondence Analysis plot.
The values plotted on the Correspondence Analysis plot.
Related Information
• “Example of Correspondence Analysis” on page 202
Cochran-Mantel-Haenszel Test
The Cochran-Mantel-Haenszel test discovers if there is a relationship between two categorical variables after
blocking across a third classification.
Table 6.8 Description of the Cochran-Mantel-Haenszel Test
Correlation of Scores
Row Score by Col Categories
Col Score by Row Categories
General Assoc. of Categories
Applicable when either the Y or X is ordinal. The alternative
hypothesis is that there is a linear association between Y and X in
at least one level of the blocking variable.
Applicable when Y is ordinal or interval. The alternative
hypothesis is that, for at least one level of the blocking variable,
the mean scores of the r rows are unequal.
Applicable when X is ordinal or interval. The alternative
hypothesis is that, for at least one level of the blocking variable,
the mean scores of the c columns are unequal.
Tests that for at least one level of the blocking variable, there is
some type of association between X and Y.
Related Information
• “Example of a Cochran Mantel Haenszel Test” on page 206