| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
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| 2 | Dataset Name: MGH17 (MGH17.dat)
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| 3 |
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| 4 | File Format: ASCII
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| 5 | Starting Values (lines 41 to 45)
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| 6 | Certified Values (lines 41 to 50)
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| 7 | Data (lines 61 to 93)
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| 8 |
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| 9 | Procedure: Nonlinear Least Squares Regression
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| 10 |
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| 11 | Description: This problem was found to be difficult for some very
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| 12 | good algorithms.
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| 13 |
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| 14 | See More, J. J., Garbow, B. S., and Hillstrom, K. E.
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| 15 | (1981). Testing unconstrained optimization software.
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| 16 | ACM Transactions on Mathematical Software. 7(1):
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| 17 | pp. 17-41.
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| 18 |
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| 19 | Reference: Osborne, M. R. (1972).
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| 20 | Some aspects of nonlinear least squares
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| 21 | calculations. In Numerical Methods for Nonlinear
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| 22 | Optimization, Lootsma (Ed).
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| 23 | New York, NY: Academic Press, pp. 171-189.
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| 24 |
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| 25 | Data: 1 Response (y)
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| 26 | 1 Predictor (x)
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| 27 | 33 Observations
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| 28 | Average Level of Difficulty
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| 29 | Generated Data
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| 30 |
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| 31 | Model: Exponential Class
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| 32 | 5 Parameters (b1 to b5)
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| 33 |
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| 34 | y = b1 + b2*exp[-x*b4] + b3*exp[-x*b5] + e
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| 35 |
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| 36 |
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| 37 |
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| 38 | Starting values Certified Values
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| 39 |
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| 40 | Start 1 Start 2 Parameter Standard Deviation
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| 41 | b1 = 50 0.5 3.7541005211E-01 2.0723153551E-03
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| 42 | b2 = 150 1.5 1.9358469127E+00 2.2031669222E-01
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| 43 | b3 = -100 -1 -1.4646871366E+00 2.2175707739E-01
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| 44 | b4 = 1 0.01 1.2867534640E-02 4.4861358114E-04
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| 45 | b5 = 2 0.02 2.2122699662E-02 8.9471996575E-04
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| 46 |
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| 47 | Residual Sum of Squares: 5.4648946975E-05
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| 48 | Residual Standard Deviation: 1.3970497866E-03
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| 49 | Degrees of Freedom: 28
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| 50 | Number of Observations: 33
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| 51 |
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| 52 |
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| 53 |
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| 54 |
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| 55 |
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| 56 |
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| 57 |
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| 58 |
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| 59 |
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| 60 | Data: y x
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| 61 | 8.440000E-01 0.000000E+00
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| 62 | 9.080000E-01 1.000000E+01
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| 63 | 9.320000E-01 2.000000E+01
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| 64 | 9.360000E-01 3.000000E+01
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| 65 | 9.250000E-01 4.000000E+01
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| 66 | 9.080000E-01 5.000000E+01
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| 67 | 8.810000E-01 6.000000E+01
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| 68 | 8.500000E-01 7.000000E+01
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| 69 | 8.180000E-01 8.000000E+01
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| 70 | 7.840000E-01 9.000000E+01
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| 71 | 7.510000E-01 1.000000E+02
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| 72 | 7.180000E-01 1.100000E+02
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| 73 | 6.850000E-01 1.200000E+02
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| 74 | 6.580000E-01 1.300000E+02
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| 75 | 6.280000E-01 1.400000E+02
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| 76 | 6.030000E-01 1.500000E+02
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| 77 | 5.800000E-01 1.600000E+02
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| 78 | 5.580000E-01 1.700000E+02
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| 79 | 5.380000E-01 1.800000E+02
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| 80 | 5.220000E-01 1.900000E+02
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| 81 | 5.060000E-01 2.000000E+02
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| 82 | 4.900000E-01 2.100000E+02
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| 83 | 4.780000E-01 2.200000E+02
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| 84 | 4.670000E-01 2.300000E+02
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| 85 | 4.570000E-01 2.400000E+02
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| 86 | 4.480000E-01 2.500000E+02
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| 87 | 4.380000E-01 2.600000E+02
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| 88 | 4.310000E-01 2.700000E+02
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| 89 | 4.240000E-01 2.800000E+02
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| 90 | 4.200000E-01 2.900000E+02
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| 91 | 4.140000E-01 3.000000E+02
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| 92 | 4.110000E-01 3.100000E+02
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| 93 | 4.060000E-01 3.200000E+02
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