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Modeling and Multivariate Methods - SAS

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Chapter 24 Visualizing, Optimizing, <strong>and</strong> Simulating Response Surfaces 587<br />

Mixture Profiler<br />

Figure 24.36 Initial Output Window for Five Factor Mixture<br />

A few items to note about the output in Figure 24.36.<br />

• All the factors appear at the top of the window. The mixture factors have low <strong>and</strong> high limits, which<br />

were entered previously as a Column Property. See Using JMP for more information about entering<br />

column properties. Alternatively, you can enter the low <strong>and</strong> high limits directly by entering them in the<br />

Lo Limit <strong>and</strong> Hi Limit boxes.<br />

• Certain regions of the plot are shaded in gray to account for the factor limits.<br />

• The on-axis factors, x1, x2 <strong>and</strong> x3, have radio buttons selected.<br />

• The categorical factor, Type, has a radio button, but it cannot be assigned to the plot. The current value<br />

for Type is L1, which is listed immediately to the right of the Current X box. The Current X box for<br />

Type uses a 0 to represent L1.<br />

• All three prediction equations have contours on the plot <strong>and</strong> are differentiated by color.<br />

A manufacturer desires to hold Y1 less than 1, hold Y2 greater than 8 <strong>and</strong> hold Y3 between 4 <strong>and</strong> 5, with a<br />

target of 4.5. Furthermore, the low <strong>and</strong> high limits on the factors need to be respected. The Mixture Profiler<br />

can help you investigate the response surface <strong>and</strong> find optimal factor settings.<br />

Start by entering the response constraints into the Lo Limit <strong>and</strong> Hi Limit boxes, as shown in Figure 24.37.<br />

Colored shading appears on the plot <strong>and</strong> designates unfeasible regions. The feasible region remains white<br />

(unshaded). Use the Response slider controls to position the contours in the feasible region.

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