CVASCORES procedure

Calculates scores for individual units in canonical variates analysis (S.A. Harding).

Option

PRINT = strings

What output to print (scores, adjustments); default scor

Parameters

WSSPM = SSPMs

Within-group sums of squares and products structure

LRV = LRVs

Loadings, roots and trace saved from CVA of the WSSPM

SCORES = matrices

Unit scores

ADJUSTMENTS = matrices

Mean Adjustments

Description

CVASCORES calculates coordinates of the individual data points projected into the canonical variate space of a canonical variates analysis. This provides data that may be plotted with the canonical variate means to provide more informative graphics.

The WSSPM parameter must be set to the within-group SSP matrix that was used as input to the CVA directive when calculating the analysis, and the LRV parameter must supply the LRV structure formed by CVA. The scores can be saved using the SCORES parameter, and the mean adjustments (as printed by CVA) can be saved using the ADJUSTMENTS parameter. The PRINT option allows the scores and adjustments to be printed, with the default to print just the scores.

Option: PRINT. Parameters: WSSP, LRV, SCORES, ADJUSTMENTS.

Method

The data matrix X is rotated using the canonical variate loadings, L, to form Y=XL. The columns of Y then have the mean adjustments subtracted, to match the location of the canonical variate means, which are translated such that their their weighted centroid is at the origin. As the procedure needs to compute the mean adjustments, these can also be saved as they are unavailable from CVA itself.