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Modeling and Multivariate Methods - SAS

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514 Fitting Partial Least Squares Models Chapter 21<br />

Model Fit Options<br />

Figure 21.8 Cross Validation Report<br />

Model Fit Report Displays detailed results for each fitted model. The fit uses either the optimum number<br />

of factors based on cross validation, or the specified number of factors if no cross validation methods was<br />

specified. The report title indicates whether NIPALS or SIMPLS was used <strong>and</strong> gives the number of<br />

extracted factors.<br />

The report includes the following summary information:<br />

X-Y Scores Plots Produces scatterplots of the X <strong>and</strong> Y scores for each extracted factor.<br />

Percent Variation Explained Shows the percent variation <strong>and</strong> cumulative percent variation explained<br />

for both X <strong>and</strong> Y. Results are given for each extracted factor.<br />

Model Coefficients for Centered <strong>and</strong> Scaled Data For each Y, shows the coefficients of the Xs for the<br />

model based on the centered <strong>and</strong> scaled data.<br />

Model Coefficients for Original Data For each Y, shows the coefficients of the Xs for the model based<br />

on the original data.<br />

Model Fit Options<br />

The Model Fit red triangle menu has the following options:<br />

Percent Variation Plots<br />

Plots the percent variation explained by each extracted factor for the Xs <strong>and</strong> Ys.<br />

Variable Importance Plot Plots the VIP values for each X variable (Figure 21.9). The VIP score is a<br />

measure of a variable’s importance in modeling both X <strong>and</strong> Y. If a variable has a small coefficient <strong>and</strong> a<br />

small VIP, then it is a c<strong>and</strong>idate for deletion from the model (Wold,1995). A value of 0.8 is generally<br />

considered to be a small VIP (Eriksson et al, 2006) <strong>and</strong> a blue line is drawn on the plot at 0.8.

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