Composite Design Response Surfaces: Difference between revisions
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{{ResponseSurface | {{ResponseSurface | ||
|link=http://files.charlesmartinreid.com/ExperimentalDesign/ | |link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_out_6dim_3deg.mat | ||
|comments1= | |comments1= | ||
|image= | |image=CDResponseSurface_Yp_out_6dim_3deg.png | ||
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|statistics=<pre> | |statistics=<pre> | ||
Revision as of 17:25, 4 July 2011
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 = 0.00080509 MSE DoF = 17 L-inf norm resid = 0.05454099 R^2 = 0.99052326 adjusted R^2 = 0.97547197 ---------------------------------------------------
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 = 0.00037084 MSE DoF = 39 L-inf norm resid = 0.04927581 R^2 = 0.98998584 adjusted R^2 = 0.98870197 ---------------------------------------------------
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 = 0.00000010 MSE DoF = 8 L-inf norm resid = 0.00069080 R^2 = 0.99999947 adjusted R^2 = 0.99999709 ---------------------------------------------------
Yp at X2
Quadratic Response, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_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 = 0.01492871 MSE DoF = 17 L-inf norm resid = 0.19955474 R^2 = 0.93864060 adjusted R^2 = 0.84118743 ---------------------------------------------------
Quadratic Response, 2 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_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 = 0.00690353 MSE DoF = 39 L-inf norm resid = 0.13735696 R^2 = 0.93490530 adjusted R^2 = 0.92655983 ---------------------------------------------------
Cubic Response Surface, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_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 = 0.00000006 MSE DoF = 8 L-inf norm resid = 0.00020206 R^2 = 0.99999989 adjusted R^2 = 0.99999941 ---------------------------------------------------
Yp at X3
Quadratic Response, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_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 = 0.03224452 MSE DoF = 17 L-inf norm resid = 0.30852831 R^2 = 0.88596596 adjusted R^2 = 0.70485306 ---------------------------------------------------
Quadratic Response, 2 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_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 = 0.01514132 MSE DoF = 39 L-inf norm resid = 0.20318228 R^2 = 0.87715488 adjusted R^2 = 0.86140551 ---------------------------------------------------
Cubic Response Surface, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_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 = 0.00000005 MSE DoF = 8 L-inf norm resid = 0.00033261 R^2 = 0.99999992 adjusted R^2 = 0.99999957 ---------------------------------------------------
Yp at X Out
Quadratic Response, 6 Dimensions
Download the response surface here: http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_out_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_out_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_out_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 ---------------------------------------------------