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Modeling and Multivariate Methods - SAS

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

The Simulator<br />

Figure 24.61 Yield Maximum<br />

The maximum Yield is approximately 0.62 at a Time of 0.116 hours <strong>and</strong> Temperature of 539.92 degrees<br />

Kelvin, or hot <strong>and</strong> fast. [Your results may differ slightly due to r<strong>and</strong>om starting values in the optimization<br />

process. Optimization settings can be modified (made more stringent) by selecting Maximization Options<br />

from the Prediction Profiler pop-up menu. Decreasing the Covergence Tolerance will enable the solution<br />

to be reproducible.]<br />

In a production environment, process inputs can’t always be controlled exactly. What happens to Yield if the<br />

inputs (Time <strong>and</strong> Temperature) have r<strong>and</strong>om variation? Furthermore, if Yield has a spec limit, what percent<br />

of batches will be out of spec <strong>and</strong> need to be discarded? The Simulator can help us investigate the variation<br />

<strong>and</strong> defect rate for Yield, given variation in Time <strong>and</strong> Temperature.<br />

Select Simulator from the Prediction Profiler pop-up menu. As shown in Figure 24.62, fill in the factor<br />

parameters so that Temperature is Normal weighted with st<strong>and</strong>ard deviation of 1, <strong>and</strong> Time is Normal<br />

weighted with st<strong>and</strong>ard deviation of 0.03. The Mean parameters default to the current factor values.<br />

Change the number of runs to 15,000. Yield has a lower spec limit of 0.55, set as a column property, <strong>and</strong><br />

shows on the chart as a red line. If it doesn’t show by default, enter it by selecting Spec Limits on the<br />

Simulator pop-up menu.

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