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Modeling and Multivariate Methods - SAS

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558 Visualizing, Optimizing, <strong>and</strong> Simulating Response Surfaces Chapter 24<br />

The Profiler<br />

Figure 24.3 Illustration of Traces<br />

current predicted value<br />

of response, changes by<br />

dragging a factor value<br />

current value of factor,<br />

changes by dragging<br />

the dotted line<br />

95% confidence interval<br />

on the mean response<br />

current factor values<br />

traces, lines, <strong>and</strong> error<br />

bars show predicted<br />

values<br />

The Profiler in some situations computes confidence intervals for each profiled column. If you have saved<br />

both a st<strong>and</strong>ard error formula <strong>and</strong> a prediction formula for the same column, the Profiler offers to use the<br />

st<strong>and</strong>ard errors to produce the confidence intervals rather than profiling them as a separate column.<br />

Interpreting the Profiles<br />

The illustration in Figure 24.4 describes how to use the components of the Profiler. There are several<br />

important points to note when interpreting a prediction profile:<br />

• The importance of a factor can be assessed to some extent by the steepness of the prediction trace. If the<br />

model has curvature terms (such as squared terms), then the traces may be curved.<br />

• If you change a factor’s value, then its prediction trace is not affected, but the prediction traces of all the<br />

other factors can change. The Y response line must cross the intersection points of the prediction traces<br />

with their current value lines.<br />

Note: If there are interaction effects or cross-product effects in the model, the prediction traces can shift<br />

their slope <strong>and</strong> curvature as you change current values of other terms. That is what interaction is all about. If<br />

there are no interaction effects, the traces only change in height, not slope or shape.

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