| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
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| 2 | Dataset Name: Rat42 (Rat42.dat)
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| 3 |
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| 4 | File Format: ASCII
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| 5 | Starting Values (lines 41 to 43)
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| 6 | Certified Values (lines 41 to 48)
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| 7 | Data (lines 61 to 69)
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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 model and data are an example of fitting
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| 12 | sigmoidal growth curves taken from Ratkowsky (1983).
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| 13 | The response variable is pasture yield, and the
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| 14 | predictor variable is growing time.
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| 15 |
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| 16 |
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| 17 | Reference: Ratkowsky, D.A. (1983).
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| 18 | Nonlinear Regression Modeling.
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| 19 | New York, NY: Marcel Dekker, pp. 61 and 88.
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| 20 |
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| 21 |
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| 22 |
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| 23 |
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| 24 |
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| 25 | Data: 1 Response (y = pasture yield)
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| 26 | 1 Predictor (x = growing time)
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| 27 | 9 Observations
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| 28 | Higher Level of Difficulty
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| 29 | Observed Data
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| 30 |
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| 31 | Model: Exponential Class
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| 32 | 3 Parameters (b1 to b3)
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| 33 |
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| 34 | y = b1 / (1+exp[b2-b3*x]) + 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 = 100 75 7.2462237576E+01 1.7340283401E+00
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| 42 | b2 = 1 2.5 2.6180768402E+00 8.8295217536E-02
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| 43 | b3 = 0.1 0.07 6.7359200066E-02 3.4465663377E-03
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| 44 |
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| 45 | Residual Sum of Squares: 8.0565229338E+00
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| 46 | Residual Standard Deviation: 1.1587725499E+00
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| 47 | Degrees of Freedom: 6
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| 48 | Number of Observations: 9
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| 49 |
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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 | 8.930E0 9.000E0
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| 62 | 10.800E0 14.000E0
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| 63 | 18.590E0 21.000E0
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| 64 | 22.330E0 28.000E0
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| 65 | 39.350E0 42.000E0
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| 66 | 56.110E0 57.000E0
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| 67 | 61.730E0 63.000E0
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| 68 | 64.620E0 70.000E0
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| 69 | 67.080E0 79.000E0
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