Template:ResponseSurface
From charlesreid1
This template creates/organizes information about response surfaces.
The usage is like this:
{{{ResponseSurface
|title =
|link=
|comments1=
|polynomial_coefficient_vector=
|polynomial_powers_matrix=
|comments2=
|image=
|comments3=
|statistics=
|comments4=
|text=
}}}
Example
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_exit_6dim_4deg.mat
Some thoughts about this response surface?
The polynomial coefficient vector is given by:
b(1) = 9.4335e+04 b(2) = -7.1360e+04 b(3) = -1.3930e+04 b(4) = 2.4439e+04 b(5) = 6.3177e+01 b(6) = -7.3399e-01 b(7) = -4.7962e+04 b(8) = 2.5084e+04 b(9) = 1.2428e+04 b(10) = 9.7792e+02
The polynomial powers matrix corresponding to the polynomial coefficient vector is given by:
0 0 0 0 0 0
0 0 0 0 0 1
0 0 0 0 1 0
0 0 0 1 0 0
0 0 1 0 0 0
0 1 0 0 0 0
1 0 0 0 0 0
0 0 0 0 0 2
0 0 0 0 1 1
0 0 0 0 2 0
0 0 0 1 0 1
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
Some comments about the image
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 210. Degree of response surface is 4. MSE = 0.02069806 MSE DoF = 9790 L-inf norm resid = 0.37829408 R^2 = 0.85452284 adjusted R^2 = 0.85141715 ---------------------------------------------------
Comments about the statistics?
Some final thoughts here.
Download the response surface here: {{{link}}}
The polynomial coefficient vector is given by:
The polynomial powers matrix corresponding to the polynomial coefficient vector is given by:
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
[[Images:{{{image}}}|500px]]
Some key statistics for this response surface are given below:
{{{statistics}}}