Example of the Gaussian Process Platform
This example uses the Gaussian Process platform to find the exploratory power of two variables on a response. The data are from a space filling design in two variables with a deterministic equation for the response. You can view the equation for the response in the column formula.
1. Select Help > Sample Data Folder and open 2D Gaussian Process Example.jmp.
2. Select Analyze > Specialized Modeling > Gaussian Process.
3. Select X1 and X2 and click X.
4. Select Y and click Y
5. Select Correlation Type > Cubic.
6. 
Deselect Fast GASP.
7. Click OK.
Figure 17.2 Gaussian Process ReportÂ
Note: The estimated parameters can be different due to different starting points in the minimization routine, the choice of correlation type, and the inclusion of a nugget parameter.
Now, visualize the fitted surface compared to the original surface.
8. Click the red triangle next to Gaussian Process Model of Y and select Save Prediction Formula.
9. Select Graph > Surface Plot.
10. Select X1 through Y Prediction Formula and click Columns.
11. Click OK.
12. In the Dependent Variables section below the plot, in the Surface column, select Both sides for the Y Prediction Formula. This plots both Y and the Predicted Y on the same surface.
Figure 17.3 3D Surface Plot of the Actual and Predicted YsÂ
The two surfaces are similar. The impact of X1 and X2 on the response Y can be visualized. You can click and drag to rotate the plot to view it from different angles. Marginal plots are another tool to use to understand the impact of the factors on the response.