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Modeling and Multivariate Methods - SAS

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Chapter 5 Fitting Multiple Response Models 159<br />

The Manova Report<br />

The Manova Report<br />

The Manova report window contains the following elements:<br />

Table 5.1 Description of the Manova Report Window<br />

Manova Fit red triangle<br />

menu<br />

Response Specification<br />

Parameter Estimates<br />

Least Squares Means<br />

Partial Correlation<br />

Overall E&H Matrices<br />

Contains save options. See “The Manova Fit Options” on page 159.<br />

Enables you to specify the response designs for various tests. See “Response<br />

Specification” on page 160.<br />

Contains the parameter estimates for each response variable (without details<br />

like st<strong>and</strong>ard errors or t-tests). There is a column for each response variable.<br />

Reports the overall least squares means of all of the response columns, least<br />

squares means of each nominal level, <strong>and</strong> least squares means plots of the<br />

means.<br />

Shows the covariance matrix <strong>and</strong> the partial correlation matrix of residuals<br />

from the initial fit, adjusted for the X effects.<br />

Shows the E <strong>and</strong> H matrices:<br />

• The elements of the E matrix are the cross products of the residuals.<br />

• The H matrices correspond to hypothesis sums of squares <strong>and</strong> cross<br />

products.<br />

There is an H matrix for the whole model <strong>and</strong> for each effect in the model.<br />

Diagonal elements of the E <strong>and</strong> H matrices correspond to the hypothesis<br />

(numerator) <strong>and</strong> error (denominator) sum of squares for the univariate F<br />

tests. New E <strong>and</strong> H matrices for any given response design are formed from<br />

these initial matrices, <strong>and</strong> the multivariate test statistics are computed from<br />

them.<br />

The Manova Fit Options<br />

Table 5.2 describes the options in the red triangle menu next to Manova Fit.<br />

Table 5.2 Description of the Manova Fit Options<br />

Save Discrim<br />

Save Predicted<br />

Save Residuals<br />

Performs a discriminant analysis <strong>and</strong> saves the results to the data table. For<br />

more details, see “Discriminant Analysis” on page 173.<br />

Saves the predicted responses to the data table.<br />

Saves the residuals to the data table.

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