76 lines
2.1 KiB
Plaintext
76 lines
2.1 KiB
Plaintext
|
NIST/ITL StRD
|
||
|
|
Dataset Name: Rat43 (Rat43.dat)
|
||
|
|
|
||
|
|
File Format: ASCII
|
||
|
|
Starting Values (lines 41 to 44)
|
||
|
|
Certified Values (lines 41 to 49)
|
||
|
|
Data (lines 61 to 75)
|
||
|
|
|
||
|
|
Procedure: Nonlinear Least Squares Regression
|
||
|
|
|
||
|
|
Description: This model and data are an example of fitting
|
||
|
|
sigmoidal growth curves taken from Ratkowsky (1983).
|
||
|
|
The response variable is the dry weight of onion bulbs
|
||
|
|
and tops, and the predictor variable is growing time.
|
||
|
|
|
||
|
|
|
||
|
|
Reference: Ratkowsky, D.A. (1983).
|
||
|
|
Nonlinear Regression Modeling.
|
||
|
|
New York, NY: Marcel Dekker, pp. 62 and 88.
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
Data: 1 Response (y = onion bulb dry weight)
|
||
|
|
1 Predictor (x = growing time)
|
||
|
|
15 Observations
|
||
|
|
Higher Level of Difficulty
|
||
|
|
Observed Data
|
||
|
|
|
||
|
|
Model: Exponential Class
|
||
|
|
4 Parameters (b1 to b4)
|
||
|
|
|
||
|
|
y = b1 / ((1+exp[b2-b3*x])**(1/b4)) + e
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
Starting Values Certified Values
|
||
|
|
|
||
|
|
Start 1 Start 2 Parameter Standard Deviation
|
||
|
|
b1 = 100 700 6.9964151270E+02 1.6302297817E+01
|
||
|
|
b2 = 10 5 5.2771253025E+00 2.0828735829E+00
|
||
|
|
b3 = 1 0.75 7.5962938329E-01 1.9566123451E-01
|
||
|
|
b4 = 1 1.3 1.2792483859E+00 6.8761936385E-01
|
||
|
|
|
||
|
|
Residual Sum of Squares: 8.7864049080E+03
|
||
|
|
Residual Standard Deviation: 2.8262414662E+01
|
||
|
|
Degrees of Freedom: 9
|
||
|
|
Number of Observations: 15
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
|
||
|
|
Data: y x
|
||
|
|
16.08E0 1.0E0
|
||
|
|
33.83E0 2.0E0
|
||
|
|
65.80E0 3.0E0
|
||
|
|
97.20E0 4.0E0
|
||
|
|
191.55E0 5.0E0
|
||
|
|
326.20E0 6.0E0
|
||
|
|
386.87E0 7.0E0
|
||
|
|
520.53E0 8.0E0
|
||
|
|
590.03E0 9.0E0
|
||
|
|
651.92E0 10.0E0
|
||
|
|
724.93E0 11.0E0
|
||
|
|
699.56E0 12.0E0
|
||
|
|
689.96E0 13.0E0
|
||
|
|
637.56E0 14.0E0
|
||
|
|
717.41E0 15.0E0
|