Composite Design Response Surfaces
From charlesreid1
Composite Design Response Surfaces
Yp at X1
Quadratic Response, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_6dim_2deg.mat
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
Some key statistics for this response surface are given below:
--------------------------------------------------- Response surface summary of information: Number of variables in response surface is 6. Number of terms in polynomial is 28. Degree of response surface is 2. MSE = 0.03845480 MSE DoF = 17 L-inf norm resid = 0.34272386 R^2 = 0.86371957 adjusted R^2 = 0.64727417 ---------------------------------------------------
Quadratic Response, 2 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_2dim_2deg.mat
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
Some key statistics for this response surface are given below:
--------------------------------------------------- Response surface summary of information: Number of variables in response surface is 2. Number of terms in polynomial is 6. Degree of response surface is 2. MSE = 0.01817059 MSE DoF = 39 L-inf norm resid = 0.23540351 R^2 = 0.85227039 adjusted R^2 = 0.83333069 ---------------------------------------------------
Cubic Response Surface, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_6dim_3deg.mat
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
Some key statistics for this response surface are given below:
--------------------------------------------------- Response surface summary of information: Number of variables in response surface is 6. Number of terms in polynomial is 37. Degree of response surface is varied, deg is a matrix. Max degree = 3. MSE = 0.00000000 MSE DoF = 8 L-inf norm resid = 0.00000000 R^2 = 1.00000000 adjusted R^2 = 1.00000000 ---------------------------------------------------