Composite Design Response Surfaces - Revision history

Admin: /* Using Response Surface Data */

2011-07-13T21:42:53Z

Using Response Surface Data

@@ Line 1: / Line 1: @@
 =Using Response Surface Data=
-Once you download the .mat file associated with a response surface, you will see two variables:
+{{Response Surface Explanation}}
 =Composite Design Response Surfaces=

Admin at 21:40, 13 July 2011

2011-07-13T21:40:59Z

← Older revision		Revision as of 21:40, 13 July 2011
Line 1:		Line 1:
			=Using Response Surface Data=

			Once you download the .mat file associated with a response surface, you will see two variables:

			* <code>model</code>
			** matrix of size <math>N_{vars} \times N_{polynomial terms}</math>
			** number of columns is equal to the number of input variables <math>
			** number of rows is equal to the number of terms in the polynomial response surface
			** variable order is as follows:
			*** Mass flowrate <math>\dot{m}</math>
			*** Reaction rate <math>k(T)</math>
			*** Mixing length <math>L_{mix}</math>
			*** Measurement location 1 <math>z_1</math>
			*** Measurement location 2 <math>z_2</math>
			*** Measurement location 3 <math>z_3</math>

			* <code>response_surface</code>
			** cell object that results from Matlab's <code>regstats()</code> function
			** polynomial coefficients corresponding to each row of <math>model</code> object are contained in <code>response_surface.beta</code>
			** covariance matrix is stored in <code>response_surface.covb</code>
			** R-squared and adjusted R-squared values stored in <code>response_surface.rsquare</code> and <code>response_surface.adjrsquare</code>, respectively
			** mean square error is contained in <code>response_surface.mse</code>

			See the Matlab <code>regstats()</code> help page for more information: http://www.mathworks.com/help/toolbox/stats/regstats.html

	=Composite Design Response Surfaces=		=Composite Design Response Surfaces=

Admin at 17:46, 4 July 2011

2011-07-04T17:46:10Z

← Older revision		Revision as of 17:46, 4 July 2011
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	\|text=		\|text=
	}}		}}


			{{ExperimentalDesign}}

Admin: /* Cubic Response Surface, 6 Dimensions */

2011-07-04T17:25:04Z

Cubic Response Surface, 6 Dimensions

← Older revision		Revision as of 17:25, 4 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~CDResponseSurface_Yp_x1_6dim_3deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_out_6dim_3deg.mat
	\|comments1=		\|comments1=
	\|image=~~CDResponseSurface_Yp_x1_6dim_3deg~~.png		\|image=CDResponseSurface_Yp_out_6dim_3deg.png
	\|comments2=		\|comments2=
	\|statistics=<pre>		\|statistics=<pre>

Admin: /* Quadratic Response, 2 Dimensions */

2011-07-04T17:24:53Z

Quadratic Response, 2 Dimensions

← Older revision		Revision as of 17:24, 4 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~CDResponseSurface_Yp_x1_2dim_2deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_out_2dim_2deg.mat
	\|comments1=		\|comments1=
	\|image=~~CDResponseSurface_Yp_x1_2dim_2deg~~.png		\|image=CDResponseSurface_Yp_out_2dim_2deg.png
	\|comments2=		\|comments2=
	\|statistics=<pre>		\|statistics=<pre>

Admin at 07:11, 4 July 2011

2011-07-04T07:11:24Z

Show changes

Admin: Created page with "=Composite Design Response Surfaces= ==Yp at X1== ===Quadratic Response, 6 Dimensions=== {{ResponseSurface |link=http://files.charlesmartinreid.com/ExperimentalDesign/CDRespon..."

2011-07-04T04:09:38Z

Created page with "=Composite Design Response Surfaces= ==Yp at X1== ===Quadratic Response, 6 Dimensions=== {{ResponseSurface |link=http://files.charlesmartinreid.com/ExperimentalDesign/CDRespon..."

New page

=Composite Design Response Surfaces=

==Yp at X1==

===Quadratic Response, 6 Dimensions===

{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/CDResponseSurface_Yp_x1_6dim_2deg.mat
|comments1=
|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 = 0.03845480
MSE DoF = 17

L-inf norm resid = 0.34272386

R^2 = 0.86371957
adjusted R^2 = 0.64727417
---------------------------------------------------
</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 = 0.01817059
MSE DoF = 39

L-inf norm resid = 0.23540351

R^2 = 0.85227039
adjusted R^2 = 0.83333069
---------------------------------------------------
</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 = 0.00000000
MSE DoF = 8

L-inf norm resid = 0.00000000

R^2 = 1.00000000
adjusted R^2 = 1.00000000
---------------------------------------------------
</pre>
|comments3=
|text=
}}