Example of the Response Limits Panel shows the Response Limits panel in the Column Info window for the response Stretch in the Bounce Data.jmp sample data table, found in the Design Experiment folder.
Example of the Response Limits Panel
The Coffee Data.jmp sample data table (located in the Design Experiment folder) contains the results of an experiment that was performed to optimize the Strength of coffee. For a complete description of the experimental design and analysis, see The Coffee Strength Experiment in Starting Out with DOE.
1.
Select Help > Sample Data Library and open Design Experiment/Coffee Data.jmp.
2.
Select Run Script from the red triangle next to DOE Dialog.
Responses Outline in Custom Design Window
5.
In the Coffee Data.jmp sample data table, select the Strength column and select Cols > Column Info.
Response Limits Column Property for Strength
The Goal is set to Match Target.
7.
Select the Show as graph reference lines option.
8.
9.
In the Coffee Data.jmp data table, select Run Script from the red triangle next to Reduced Model.
10.
Click Run.
Profiler Showing Desirability Function for Strength
The desirability function for Strength appears in the plot at the right above Desirability. This plot appears because the data table contains a Response Limits column property for Strength. The Prediction Profiler also shows reference lines for the Lower and Upper limits for Strength.
11.
Hold down the Ctrl key and click the Strength plot for Desirability.
Response Goal Window for Strength
The Desirability plot in Profiler Showing Desirability Function for Strength shows how JMP uses the Desirability values shown in Response Goal Window for Strength. The Desirability function for Strength is essentially 0 beyond the Low and High values and it increases to 1 gradually as Strength approaches the target of 1.3. The Importance value is set to 1 since there is only one response in the model.
12.
Click Cancel to exit the window.
13.
Select Maximize Desirability from the Prediction Profiler red triangle menu.
The settings for Time and Charge are updated to show settings for the factors that maximize the desirability function for Strength. However, many other settings also maximize the desirability function. See the Contour Profiler chapter in the Profilers book for information about how to identify other settings that maximize the desirability function.
In the Vinyl Data.jmp sample data table, a Response Limits column property is already assigned to the response thickness. The property has a goal of maximizing thickness. Suppose that instead of maximizing thickness, you want the sheets of vinyl to have a thickness between 6 and 10, with a target thickness of 8.5.
1.
Select Help > Sample Data Library and open Design Experiment/Vinyl Data.jmp.
2.
Select the thickness column and select Cols > Column Info.
The Response Limits property appears in the Column Properties list as the only property assigned to thickness. The Response Limits panel appears to the right of the list.
3.
Click Maximize and select Match Target.
4.
Type 1 for the Importance value.
This is an example of asymmetric response limits. Values of thickness as small as 6 or as large as 10 are acceptable. However, the target for thickness is 8.5.
6.
Select Show as graph reference lines.
Completed Response Limits Panel
7.
8.
In the Vinyl Data.jmp data table, select Run Script from the red triangle next to Model.
Note that m1, m2, and m3 are mixture factors. Also, the design involves a random Whole Plots factor. Because of this, the default Method is REML (Recommended).
9.
Click Run.
10.
From the red triangle next to Response thickness, select Row Diagnostics > Plot Actual by Predicted.
Prediction Profiler Showing Asymmetric Desirability Function
The plot at the right above Desirability shows the desirability function that JMP has constructed for thickness. The desirability is 1 at the Middle limit of 8.5. The desirability is essentially 0 for thickness values below 6 and above 10.
12.
Hold down the Ctrl key and click the thickness plot for Desirability.
Response Goal Window for Thickness
This window shows your settings for the High, Middle, and Low Values. It also shows the Desirability values that JMP assigns, based on your goal of Match Target. The Desirability function shown in Prediction Profiler Showing Asymmetric Desirability Function is a continuous curve that matches the Desirability settings in Response Goal Window for Thickness at the High, Middle, and Low Values. At other values, the Desirability function assigns desirabilities that are consistent with the selected goal.
13.
Click Cancel.
14.
Select Maximize Desirability from the Prediction Profiler red triangle menu.
The settings for the factors are updated to show values that maximize the desirability function for thickness. Keep in mind that many other settings also maximize the desirability function. The predicted response at these optimal settings is 8.28. Recall that you set 8.5 as the target setting, with limits of 6 and 10.
15.
Close the Vinyl Data.jmp sample data table without saving the changes.