| Sameer Agarwal | ea11704 | 2012-08-29 18:18:48 -0700 | [diff] [blame] | 1 | NIST/ITL StRD
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| 2 | Dataset Name: Rat43 (Rat43.dat)
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| 3 |
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| 4 | File Format: ASCII
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| 5 | Starting Values (lines 41 to 44)
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| 6 | Certified Values (lines 41 to 49)
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| 7 | Data (lines 61 to 75)
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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 the dry weight of onion bulbs
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| 14 | and tops, and the 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. 62 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 = onion bulb dry weight)
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| 26 | 1 Predictor (x = growing time)
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| 27 | 15 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 | 4 Parameters (b1 to b4)
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| 33 |
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| 34 | y = b1 / ((1+exp[b2-b3*x])**(1/b4)) + 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 = 100 700 6.9964151270E+02 1.6302297817E+01
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| 42 | b2 = 10 5 5.2771253025E+00 2.0828735829E+00
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| 43 | b3 = 1 0.75 7.5962938329E-01 1.9566123451E-01
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| 44 | b4 = 1 1.3 1.2792483859E+00 6.8761936385E-01
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| 45 |
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| 46 | Residual Sum of Squares: 8.7864049080E+03
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| 47 | Residual Standard Deviation: 2.8262414662E+01
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| 48 | Degrees of Freedom: 9
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| 49 | Number of Observations: 15
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| 50 |
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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 | 16.08E0 1.0E0
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| 62 | 33.83E0 2.0E0
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| 63 | 65.80E0 3.0E0
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| 64 | 97.20E0 4.0E0
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| 65 | 191.55E0 5.0E0
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| 66 | 326.20E0 6.0E0
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| 67 | 386.87E0 7.0E0
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| 68 | 520.53E0 8.0E0
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| 69 | 590.03E0 9.0E0
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| 70 | 651.92E0 10.0E0
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| 71 | 724.93E0 11.0E0
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| 72 | 699.56E0 12.0E0
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| 73 | 689.96E0 13.0E0
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| 74 | 637.56E0 14.0E0
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| 75 | 717.41E0 15.0E0
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