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| {|
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| |{{#if:{{{link|}}}|Download the response surface here: {{{link}}} }}
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| |{{#if:{{{comments1|}}}|{{{comments1}}} }}
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| |{{#if:{{{polynomial_coefficient_vector|}}}|The polynomial coefficient vector is given by:
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| {{{polynomial_coefficient_vector}}}
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| }}
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| |{{#if:{{{polynomial_powers_matrix|}}}|The polynomial powers matrix corresponding to the polynomial coefficient vector is given by:
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| {{{polynomial_powers_matrix|}}}
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| }}
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| |{{#if:{{{comments2|}}}|{{{comments2}}} }}
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| |{{#if:{{{image|}}}|The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
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| {{{image}}}
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| }}
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| |{{#if:{{{comments3|}}}| {{{comments3}}} }}
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| |{{#if:{{{statistics|}}}|Some key statistics for this response surface are given below:
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| {{{statistics}}}
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| }}
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| |{{#if:{{{comments4|}}}| {{{comments4}}} }}
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| |{{#if:{{{text|}}}| {{{text}}} }}
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| |}
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| <noinclude> | | <noinclude> |
| This template creates/organizes information about response surfaces. | | This template creates/organizes information about response surfaces. |
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| <pre> | | <pre> |
| {{{ResponseSurface
| | {{ResponseSurface |
| |title =
| | |link=http://files.charlesmartinreid.com/ExperimentalDesign/ |
| |link= | |
| |comments1= | | |comments1= |
| |polynomial_coefficient_vector= | | |image= |
| |polynomial_powers_matrix=
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| |comments2= | | |comments2= |
| |image= | | |statistics= |
| |comments3= | | |comments3= |
| |statistics=
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| |comments4=
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| |text= | | |text= |
| }}}
| | }} |
| </pre> | | </pre> |
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| =Example= | | =Example= |
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| {|class="wikitable"
| | {{ResponseSurface |
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| |{{ResponseSurface
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| |title=Quartic Response Surface, 6 Dimensions | | |title=Quartic Response Surface, 6 Dimensions |
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| |comments1=Some thoughts about this response surface? | | |comments1=Some thoughts about this response surface? |
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| |polynomial_coefficient_vector=
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| <pre>
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| b(1) = 9.4335e+04
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| b(2) = -7.1360e+04
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| b(3) = -1.3930e+04
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| b(4) = 2.4439e+04
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| b(5) = 6.3177e+01
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| b(6) = -7.3399e-01
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| b(7) = -4.7962e+04
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| b(8) = 2.5084e+04
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| b(9) = 1.2428e+04
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| b(10) = 9.7792e+02
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| b(11) = -9.2480e+03
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| b(12) = -5.1276e+03
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| b(13) = -5.7739e+03
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| b(14) = -1.3153e+02
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| b(15) = 1.5852e+01
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| b(16) = -1.7894e+01
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| b(17) = 7.7344e-01
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| b(18) = -1.1606e+00
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| b(19) = -1.8691e+00
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| b(20) = 5.6333e+00
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| b(21) = 5.4130e-02
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| b(22) = -3.5192e-03
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| b(23) = 1.7109e+03
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| b(24) = -1.8055e+03
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| b(25) = -6.1622e+03
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| b(26) = 9.2918e+01
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| b(27) = 2.2992e+00
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| b(28) = 2.4321e+04
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| b(29) = -3.2712e+03
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| b(30) = -2.0094e+03
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| b(31) = -8.4970e+02
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| b(32) = 6.7127e+02
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| b(33) = 5.4902e+02
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| b(34) = 1.6649e+03
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| b(35) = 3.9418e+01
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| b(36) = -8.6106e+01
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| b(37) = 2.8060e+03
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| b(38) = 8.4698e+02
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| b(39) = 4.0922e+01
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| b(40) = -4.1602e+01
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| b(41) = 3.6996e+01
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| b(42) = 2.7639e+01
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| b(43) = -3.6318e+01
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| b(44) = 1.9221e+01
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| b(45) = -1.3503e-01
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| b(46) = 4.1899e-01
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| b(47) = 3.5445e-02
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| b(48) = 3.4742e-03
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| b(49) = 1.0020e-01
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| b(50) = 9.6863e-01
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| b(51) = 1.0226e-01
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| b(52) = -1.0614e+00
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| b(53) = -7.4942e-01
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| b(54) = -6.7971e-01
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| b(55) = -2.5682e-02
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| b(56) = 1.6590e-03
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| b(57) = 6.0159e-04
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| b(58) = -3.3300e-04
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| b(59) = 6.4587e-04
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| b(60) = 4.1078e-04
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| b(61) = 8.1751e-04
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| b(62) = -4.3508e-06
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| b(63) = 1.0649e-05
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| b(64) = 1.0716e+03
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| b(65) = -3.1054e+02
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| b(66) = -9.7221e+02
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| b(67) = 2.0289e+03
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| b(68) = -9.5553e+02
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| b(69) = 2.5068e+02
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| b(70) = -1.2136e+01
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| b(71) = -2.9474e+00
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| b(72) = -8.2761e+00
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| b(73) = -5.5199e-01
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| b(74) = -1.3527e-01
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| b(75) = -2.5765e-01
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| b(76) = -6.1860e-01
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| b(77) = 4.1224e-03
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| b(78) = -3.8697e-04
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| b(79) = -1.8981e+03
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| b(80) = 1.5007e+03
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| b(81) = 5.7488e+02
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| b(82) = -1.3082e+01
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| b(83) = -3.1649e-01
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| b(84) = -3.6841e+03
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| </pre>
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|
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| |polynomial_powers_matrix=
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| <pre>
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| 0 0 0 0 0 0
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| 0 0 0 0 0 1
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| 0 0 0 0 1 0
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| 0 0 0 1 0 0
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| 0 0 1 0 0 0
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| 0 1 0 0 0 0
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| 1 0 0 0 0 0
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| 0 0 0 0 0 2
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| 0 0 0 0 1 1
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| 0 0 0 0 2 0
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| 0 0 0 1 0 1
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| 0 0 0 1 1 0
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| 0 0 0 2 0 0
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| 0 0 1 0 0 1
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| 0 0 1 0 1 0
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| 0 0 1 1 0 0
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| 0 0 2 0 0 0
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| 0 1 0 0 0 1
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| 0 1 0 0 1 0
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| 0 1 0 1 0 0
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| 0 1 1 0 0 0
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| 0 2 0 0 0 0
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| 1 0 0 0 0 1
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| 1 0 0 0 1 0
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| 1 0 0 1 0 0
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| 1 0 1 0 0 0
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| 1 1 0 0 0 0
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| 2 0 0 0 0 0
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| 0 0 0 0 0 3
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| 0 0 0 0 1 2
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| 0 0 0 0 2 1
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| 0 0 0 0 3 0
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| 0 0 0 1 0 2
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| 0 0 0 1 1 1
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| 0 0 0 1 2 0
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| 0 0 0 2 0 1
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| 0 0 0 2 1 0
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| 0 0 0 3 0 0
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| 0 0 1 0 0 2
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| 0 0 1 0 1 1
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| 0 0 1 0 2 0
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| 0 0 1 1 0 1
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| 0 0 1 1 1 0
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| 0 0 1 2 0 0
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| 0 0 2 0 0 1
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| 0 0 2 0 1 0
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| 0 0 2 1 0 0
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| 0 0 3 0 0 0
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| 0 1 0 0 0 2
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| 0 1 0 0 1 1
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| 0 1 0 0 2 0
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| 0 1 0 1 0 1
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| 0 1 0 1 1 0
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| 0 1 0 2 0 0
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| 0 1 1 0 0 1
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| 0 1 1 0 1 0
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| 0 1 1 1 0 0
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| 0 1 2 0 0 0
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| 0 2 0 0 0 1
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| 0 2 0 0 1 0
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| 0 2 0 1 0 0
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| 0 2 1 0 0 0
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| 0 3 0 0 0 0
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| 1 0 0 0 0 2
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| 1 0 0 0 1 1
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| 1 0 0 0 2 0
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| 1 0 0 1 0 1
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| 1 0 0 1 1 0
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| 1 0 0 2 0 0
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| 1 0 1 0 0 1
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| 1 0 1 0 1 0
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| 1 0 1 1 0 0
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| 1 0 2 0 0 0
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| 1 1 0 0 0 1
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| 1 1 0 0 1 0
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| 1 1 0 1 0 0
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| 1 1 1 0 0 0
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| 1 2 0 0 0 0
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| 2 0 0 0 0 1
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| 2 0 0 0 1 0
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| 2 0 0 1 0 0
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| 2 0 1 0 0 0
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| 2 1 0 0 0 0
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| 3 0 0 0 0 0
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| </pre>
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| |comments2=
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| |image=MCResponseSurface_Yp_exit_6dim_4deg.png | | |image=MCResponseSurface_Yp_exit_6dim_4deg.png |
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| |comments3=Some comments about the image | | |comments2=Some comments about the image |
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| |statistics= | | |statistics= |
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| </pre> | | </pre> |
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| |comments4=Comments about the statistics? | | |comments3=Comments about the statistics? |
| | }} |
| | |
| | |
| | ---- |
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| | |
| | ---- |
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|
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|
| |text=Some final thoughts here.
| | ---- |
| }}
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| |}
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|
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| </noinclude> | | </noinclude> |
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| | Download the response surface here: {{{link}}} |
| | |
| | {{{comments1|}}} |
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| | The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value): |
| | |
| | [[Image:{{{image}}}|500px]] |
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| | {{{comments2|}}} |
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| | Some key statistics for this response surface are given below: |
| | |
| | {{{statistics}}} |
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| | {{{comments3|}}} |
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| | {{{text|}}} |
This template creates/organizes information about response surfaces.
The usage is like this:
{{ResponseSurface
|link=http://files.charlesmartinreid.com/ExperimentalDesign/
|comments1=
|image=
|comments2=
|statistics=
|comments3=
|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 following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
File:MCResponseSurface Yp exit 6dim 4deg.png
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?
Download the response surface here: {{{link}}}
The following is a visualization of the response surface (non-visualized dimensions are kept constant at their mean value):
[[Image:{{{image}}}|500px]]
Some key statistics for this response surface are given below:
{{{statistics}}}
