# Discriminant Analysis Statistics

**Descriptives.** Available
options are means (including standard deviations), univariate ANOVAs, and
Box's *M* test.

- Means. Displays total and group means, as well as standard deviations for the independent variables.
- Univariate ANOVAs. Performs a one-way analysis-of-variance test for equality of group means for each independent variable.
- Box's M. A test for the equality of the group covariance matrices. For sufficiently large samples, a nonsignificant p value means there is insufficient evidence that the matrices differ. The test is sensitive to departures from multivariate normality.

**Function Coefficients.** Available options are
Fisher's classification coefficients and unstandardized coefficients.

- Fisher's. Displays Fisher's classification function coefficients that can be used directly for classification. A separate set of classification function coefficients is obtained for each group, and a case is assigned to the group for which it has the largest discriminant score (classification function value).
- Unstandardized. Displays the unstandardized discriminant function coefficients.

**Matrices.** Available matrices of coefficients
for independent variables are within-groups correlation matrix, within-groups
covariance matrix, separate-groups covariance matrix, and total covariance
matrix.

- Within-groups correlation. Displays a pooled within-groups correlation matrix that is obtained by averaging the separate covariance matrices for all groups before computing the correlations.
- Within-groups covariance. Displays a pooled within-groups covariance matrix, which may differ from the total covariance matrix. The matrix is obtained by averaging the separate covariance matrices for all groups.
- Separate-groups covariance. Displays separate covariance matrices for each group.
- Total covariance. Displays a covariance matrix from all cases as if they were from a single sample.

Choosing Statistics for a Discriminant Analysis

This feature requires the Statistics Base option.

- From the menus choose:
- In the Discriminant Analysis dialog box, click Statistics.