Monte Carlo Response Surfaces - Revision history

Admin at 21:42, 13 July 2011

2011-07-13T21:42:51Z

← Older revision		Revision as of 21:42, 13 July 2011
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			=Using Response Surface Data=

			{{Response Surface Explanation}}

	=Response Surface Results=		=Response Surface Results=

Admin at 17:45, 4 July 2011

2011-07-04T17:45:32Z

← Older revision		Revision as of 17:45, 4 July 2011
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	With the [[Composite Experimental Design#Computing Response Surface\|composite design response surface]], the (reduced) third degree polynomial fit all of the data points exactly, and yielded 0 mean square error and an r-squared value of 1.0. However, this is because there were only 45 sample points, and almost as many polynomial coefficients - 37.		With the [[Composite Experimental Design#Computing Response Surface\|composite design response surface]], the (reduced) third degree polynomial fit all of the data points exactly, and yielded 0 mean square error and an r-squared value of 1.0. However, this is because there were only 45 sample points, and almost as many polynomial coefficients - 37.
	}}		}}



			{{ExperimentalDesign}}

Admin: /* Quartic Surface, 6 Dimensions */

2011-07-04T17:44:56Z

Quartic Surface, 6 Dimensions

← Older revision		Revision as of 17:44, 4 July 2011
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	Degree of response surface is 4.		Degree of response surface is 4.

	MSE = 0.~~02069806~~		MSE = 0.01467238
	MSE DoF = ~~9790~~		MSE DoF = 4825

	L-inf norm resid = 0.~~37829408~~		L-inf norm resid = 0.34656843

	R^2 = 0.~~85452284~~		R^2 = 0.89710012
	adjusted R^2 = 0.~~85141715~~		adjusted R^2 = 0.89264291
	---------------------------------------------------		---------------------------------------------------
	</pre>		</pre>

Admin: /* Quartic Response, 6 Dimensions */

2011-07-04T17:41:50Z

Quartic Response, 6 Dimensions

← Older revision		Revision as of 17:41, 4 July 2011
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	Degree of response surface is 4.		Degree of response surface is 4.

	MSE = 0.~~01150170~~		MSE = 0.00485155
	MSE DoF = 4825		MSE DoF = 4825

	L-inf norm resid = 0.~~30974734~~		L-inf norm resid = 0.22879783

	R^2 = 0.~~91667246~~		R^2 = 0.95819495
	adjusted R^2 = 0.~~91306304~~		adjusted R^2 = 0.95638412
	---------------------------------------------------		---------------------------------------------------
	</pre>		</pre>

Admin: /* Quartic Response, 6 Dimensions */

2011-07-04T17:39:56Z

Quartic Response, 6 Dimensions

← Older revision		Revision as of 17:39, 4 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~MCResponseSurface_Yp_x3_6dim_4deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_x1_6dim_4deg.mat
	\|comments1=		\|comments1=
	\|image=~~MCResponseSurface_Yp_x3_6dim_4deg~~.png		\|image=MCResponseSurface_Yp_x1_6dim_4deg.png
	\|comments2=		\|comments2=
	\|statistics=<pre>		\|statistics=<pre>
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	Degree of response surface is 4.		Degree of response surface is 4.

	MSE = 0.~~01150170~~		MSE = 0.00025835
	MSE DoF = 4825		MSE DoF = 4825

	L-inf norm resid = 0.~~30974734~~		L-inf norm resid = 0.07439991

	R^2 = 0.~~91667246~~		R^2 = 0.99465134
	adjusted R^2 = 0.~~91306304~~		adjusted R^2 = 0.99441966
	---------------------------------------------------		---------------------------------------------------
	</pre>		</pre>

Admin: /* Cubic Response, 6 Dimensions */

2011-07-04T17:38:29Z

Cubic Response, 6 Dimensions

← Older revision		Revision as of 17:38, 4 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_x1_6dim_3deg.mat
	\|comments1=		\|comments1=
	\|image=~~MCResponseSurface_Yp_x2_6dim_3deg~~.png		\|image=MCResponseSurface_Yp_x1_6dim_3deg.png
	\|comments2=		\|comments2=
	\|statistics=<pre>		\|statistics=<pre>
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	Degree of response surface is 3.		Degree of response surface is 3.

	MSE = 0.~~01047521~~		MSE = 0.00101396
	MSE DoF = 4951		MSE DoF = 4951

	L-inf norm resid = 0.~~33881196~~		L-inf norm resid = 0.21757339

	R^2 = 0.~~90737957~~		R^2 = 0.97845992
	adjusted R^2 = 0.~~90582686~~		adjusted R^2 = 0.97809881
	---------------------------------------------------		---------------------------------------------------

	</pre>		</pre>

Admin: /* Cubic Surface, 6 Dimensions */

2011-07-04T03:30:57Z

Cubic Surface, 6 Dimensions

← Older revision		Revision as of 03:30, 4 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_6dim_3deg.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_6dim_3deg.mat
	\|image=~~MCResponseSurface_Yp_exit_6dim_3deg~~.png		\|image=MCResponseSurface_Yp_out_6dim_3deg.png
	\|statistics=<pre>		\|statistics=<pre>
	---------------------------------------------------		---------------------------------------------------

Admin: /* Yp at exit */

2011-07-03T23:57:19Z

Yp at exit

← Older revision		Revision as of 23:57, 3 July 2011
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~MCResponseSurface_Yp_exit_6dim_2deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_6dim_2deg.mat
	\|comments1=A quadratic response surface was computed using all of the information from the Monte Carlo samples. There were 10,000 samples in total.		\|comments1=A quadratic response surface was computed using all of the information from the Monte Carlo samples. There were 10,000 samples in total.
	\|image=MCResponseSurface_Yp_out_6dim_2deg.png		\|image=MCResponseSurface_Yp_out_6dim_2deg.png
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~MCResponseSurface_Yp_exit_2dim_2deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_2dim_2deg.mat
	\|comments1=The same set of Monte Carlo samples was fit to a quadratic surface, but with 2 variables instead of 6. This results in a response surface that looks similar to the 6-dimensional quadratic response surface:		\|comments1=The same set of Monte Carlo samples was fit to a quadratic surface, but with 2 variables instead of 6. This results in a response surface that looks similar to the 6-dimensional quadratic response surface:
	\|image=MCResponseSurface_Yp_out_2dim_2deg.png		\|image=MCResponseSurface_Yp_out_2dim_2deg.png
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	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~MCResponseSurface_Yp_exit_6dim_3deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_6dim_3deg.mat
	\|image=MCResponseSurface_Yp_exit_6dim_3deg.png		\|image=MCResponseSurface_Yp_exit_6dim_3deg.png
	\|statistics=<pre>		\|statistics=<pre>
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	}}		}}

	===Quartic ~~Response~~ Surface===		===Quartic Surface, 6 Dimensions===

	{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/~~MCResponseSurface_Yp_exit_6dim_4deg~~.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_out_6dim_4deg.mat
	\|image=MCResponseSurface_Yp_out_6dim_4deg.png		\|image=MCResponseSurface_Yp_out_6dim_4deg.png
	\|statistics=<pre>		\|statistics=<pre>

Admin: /* Yp at exit */

2011-07-03T23:56:22Z

Yp at exit

← Older revision		Revision as of 23:56, 3 July 2011
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	===Quadratic Surface, 6 Dimensions===		===Quadratic Surface, 6 Dimensions===

	{{{ResponseSurface		{{ResponseSurface
	\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_exit_6dim_2deg.mat		\|link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_exit_6dim_2deg.mat
	\|comments1=A quadratic response surface was computed using all of the information from the Monte Carlo samples. There were 10,000 samples in total.		\|comments1=A quadratic response surface was computed using all of the information from the Monte Carlo samples. There were 10,000 samples in total.

Admin: /* Yp at X3 */

2011-07-03T23:55:04Z

Yp at X3

@@ Line 226: / Line 226: @@
 ==Yp at X3==
-===Quadratic Surface, 6 Dimensions===
+===Quadratic Response, 6 Dimensions===
 {{ResponseSurface
 |link=http://files.charlesmartinreid.com/ExperimentalDesign/MCResponseSurface_Yp_x3_6dim_2deg.mat
 |comments1=
-|image=
+|image=MCResponseSurface_Yp_x3_6dim_2deg.png
 |comments2=
-|statistics=
+|statistics=<pre>
 |comments3=
 |text=
-}}}
+}}
 ==Yp at exit==