Composite Design Response Surfaces: Difference between revisions

From charlesreid1

(Created page with "=Composite Design Response Surfaces= ==Yp at X1== ===Quadratic Response, 6 Dimensions=== {{ResponseSurface |link=http://files.charlesmartinreid.com/ExperimentalDesign/CDRespon...")
 
No edit summary
Line 9: Line 9:
|comments1=
|comments1=
|image=CDResponseSurface_Yp_x1_6dim_2deg.png
|image=CDResponseSurface_Yp_x1_6dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Quadratic Response, 2 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_2dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_x1_2dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Cubic Response Surface, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_6dim_3deg.mat
|comments1=
|image=CDResponseSurface_Yp_x1_6dim_3deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
==Yp at X2==
===Quadratic Response, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_6dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_x2_6dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Quadratic Response, 2 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_2dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_x2_2dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Cubic Response Surface, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x2_6dim_3deg.mat
|comments1=
|image=CDResponseSurface_Yp_x2_6dim_3deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
==Yp at X3==
===Quadratic Response, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_6dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_x3_6dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Quadratic Response, 2 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_2dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_x3_2dim_2deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
===Cubic Response Surface, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x3_6dim_3deg.mat
|comments1=
|image=CDResponseSurface_Yp_x3_6dim_3deg.png
|comments2=
|statistics=<pre>
---------------------------------------------------
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
---------------------------------------------------
</pre>
|comments3=
|text=
}}
==Yp at X Out==
===Quadratic Response, 6 Dimensions===
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_out_6dim_2deg.mat
|comments1=
|image=CDResponseSurface_Yp_out_6dim_2deg.png
|comments2=
|comments2=
|statistics=<pre>
|statistics=<pre>

Revision as of 07:11, 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):

CDResponseSurface Yp x1 6dim 2deg.png


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):

CDResponseSurface Yp x1 2dim 2deg.png


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):

CDResponseSurface Yp x1 6dim 3deg.png


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):

CDResponseSurface Yp x2 6dim 2deg.png


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):

CDResponseSurface Yp x2 2dim 2deg.png


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):

CDResponseSurface Yp x2 6dim 3deg.png


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):

CDResponseSurface Yp x3 6dim 2deg.png


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):

CDResponseSurface Yp x3 2dim 2deg.png


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):

CDResponseSurface Yp x3 6dim 3deg.png


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):

CDResponseSurface Yp out 6dim 2deg.png


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):

CDResponseSurface Yp x1 2dim 2deg.png


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):

CDResponseSurface Yp x1 6dim 3deg.png


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 
---------------------------------------------------



Retrieved from "https://charlesreid1.com/w/index.php?title=Composite_Design_Response_Surfaces&oldid=3014"