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Double Exponential Fit,
sample CFS results file (*.LST)
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Nonlinear Parameter Estimation (HETANL); 7.000 1.000: 07-Nov-96 14:06:09
Center for Fluorescence Spectroscopy --- SGI-4D70 --- USER=guest
global frequency domain HETerogenous fluorescence ANaLysis
Data input from file
COMMENTS
PPO cyc 20 ex=600.0 em=360.0
Standard Error of PHASE ANGLE set to 0.300000
Standard Error of MODULATION set to 7.000000E-03
24 data points read
GUESS
Initial value of Tau 1 is 3.00000
Initial value of Tau 2 is 0.500000
Initial value of Tau 3 is 0.000000E+00
Initial value of Tau 4 is 0.000000E+00
Initial value of Tau 5 is 0.000000E+00
Initial value of Alpha 1 is 0.800000
Initial value of Alpha 2 is 0.200000
Initial value of Alpha 3 is 0.000000E+00
Initial value of Alpha 4 is 0.000000E+00
Initial value of Alpha 5 is 0.000000E+00
Derived value of Norm. A 1 for ppocyc.002 is 0.800000
Derived value of Norm. A 2 for ppocyc.002 is 0.200000
Derived value of Norm. A 3 for ppocyc.002 is 0.000000E+00
Derived value of Norm. A 4 for ppocyc.002 is 0.000000E+00
Derived value of Norm. A 5 for ppocyc.002 is 0.000000E+00
Derived value of S.S. Int. 1 for ppocyc.002 is 0.960000
Derived value of S.S. Int. 2 for ppocyc.002 is 4.000000E-02
Derived value of S.S. Int. 3 for ppocyc.002 is 0.000000E+00
Derived value of S.S. Int. 4 for ppocyc.002 is 0.000000E+00
Derived value of S.S. Int. 5 for ppocyc.002 is 0.000000E+00
Resulting Sum of Squares is 28755.8 with 48 observations
(Sum of Squares)/(Number of Observations) is 599.079
NonLinear Parameter Estimation (HETANL); 7.000 1.000 07-Nov-96 14:07:13
Center for Fluorescence Spectroscopy --- SGI-4D70 --- USER=guest
FIT 24 data points to 3 parameters; NDF = 45
1 + ( 3/ 45)*F-statistic( 3, 45, 33.%) = 1.0783
Maximum Fractional Change in Variance = 0.000100
Converged since variance did not change for 1 iterations
6 iterations yielded a weighted SSR of 56.8275
and a weighted variance of 1.26283
for a weighted mean deviation of 1.12376
File Names: ppocyc.002 S.E.s 0.3000 7.0000E-03
Variance Co-Variance Matrix
Alpha 1 ; 4.51989E-03
Tau 1 ; -3.94923E-04 8.84306E-05
Tau 2 ; -5.59208E-04 1.88945E-04 8.74509E-04
Correlation Matrix
Alpha 1 ; 1.0000
Tau 1 ; -0.62467 1.0000
Tau 2 ; -0.28127 0.67944 1.0000
Eigenvalues found to be
0.206147 0.719942 2.07391
28 Variance Calculations in DK:HETANL.VAR
Summary of Parameters; Chi Sq. = 1.2628 ; SSR = 56.827
6 Iterations; 45 Degrees of Freedom; 67.0% Confidence Intervals
Value -C.I. +C.I. Initial Guess
File = ppocyc.002 S.E.s 0.3000 7.0000E-03
Tau 1 1.7672 1.7514 1.7850 3.0000
Tau 2 0.26512 0.22305 0.31210 0.50000
Alpha 1 1.3864 1.2848 1.4879 0.80000
Alpha 2 0.20000 0.20000
Norm. A 1 0.87393 0.86530 0.88151 Derived
Norm. A 2 0.12607 0.11849 0.13470 Derived
S.S. Int. 1 0.97882 0.97350 0.98305 Derived
S.S. Int. 2 2.11826E-02 1.69471E-02 2.64973E-02 Derived
Asymptotic Standard Errors of Fitted Parameters
Value +/- CI/Ase
Alpha 1 = 1.3864 +/- 6.72302E-02 1.5
Tau 1 = 1.7672 +/- 9.40376E-03 1.8
Tau 2 = 0.26512 +/- 2.95721E-02 1.5
Mean C.I./Asym.S.E. = 1.6 range of 1.5 to 1.8
NonLinear Parameter Estimation (HETANL); 7.000 1.000 07-Nov-96 14:07:13
Center for Fluorescence Spectroscopy --- SGI-4D70 --- USER=guest
Summary for File Name: ppocyc.002 S.E.s 0.3000 7.0000E-03
FREQUENCY PHASE ANGLE Calculated W. diff. MODULATION Calculated W. diff.
1 18.980 10.701 11.684 -3.2764 0.97640 0.97863 -0.31849
2 22.776 13.330 13.932 -2.0067 0.96774 0.96965 -0.27347
3 26.572 15.851 16.135 -0.94646 0.95548 0.95936 -0.55442
4 34.164 20.563 20.385 0.59395 0.93151 0.93537 -0.55116
5 34.164 20.515 20.385 0.43578 0.93209 0.93537 -0.46830
6 45.552 25.748 26.312 -1.8818 0.88789 0.89300 -0.72933
7 53.144 30.072 29.942 0.43424 0.85888 0.86208 -0.45730
8 60.736 33.176 33.308 -0.43935 0.82787 0.83014 -0.32497
9 72.124 37.970 37.877 0.31221 0.78067 0.78195 -0.18341
10 87.308 43.381 43.135 0.82141 0.71855 0.71988 -0.18931
11 102.49 47.213 47.558 -1.1490 0.65748 0.66245 -0.70947
12 121.47 51.936 52.117 -0.60225 0.59448 0.59854 -0.57978
13 140.45 56.218 55.816 1.3395 0.54091 0.54333 -0.34500
14 167.02 60.094 59.907 0.62433 0.47517 0.47892 -0.53551
15 197.39 63.668 63.460 0.69584 0.41897 0.42020 -0.17603
16 231.56 66.259 66.475 -0.72179 0.36814 0.36840 -3.73381E-02
17 273.31 69.489 69.223 0.88476 0.31813 0.31972 -0.22694
18 318.86 70.861 71.455 -1.9815 0.27649 0.27931 -0.40255
19 375.80 73.406 73.535 -0.43063 0.23892 0.24125 -0.33241
20 444.13 74.819 75.387 -1.8922 0.20737 0.20748 -1.57356E-02
21 520.05 77.550 76.942 2.0252 0.17870 0.17970 -0.14261
22 614.95 79.128 78.434 2.3135 0.15250 0.15405 -0.22180
23 721.24 80.108 79.728 1.2636 0.13018 0.13289 -0.38713
24 850.30 80.120 80.957 -2.7896 0.11325 0.11392 -9.51141E-02
SSR = 56.827 NPT = 48
-------- weighted residuals for PHASE ANGLE vs. log FREQUENCY ---------
3.2764 | |
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| * | |
| * | | * |
| * * * * | * * * | | | |
0.0 -|---------------------------------------------------------------------------|-
|| | | | * | * * | * | ||
|| | * | * | | ||
|| * * * * ||
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-3.2764 |* *|
----- SSR = 53.0743 --- NPT = 24 ----------------------------------
NonLinear Parameter Estimation (HETANL); 7.000 1.000 07-Nov-96 14:07:13
Center for Fluorescence Spectroscopy --- SGI-4D70 --- USER=kazik
-------- weighted residuals for MODULATION vs. log FREQUENCY ---------
0.72933 | |
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0.0 -|-------------------------------------------------*------------*------------|-
|| | | | | | | * * | | | | * | | | * | | *|
|* * | | | | * | | | | * | | * | |
| | | | * | | * | * * * |
| * * | | * * |
-0.72933 | * * |
----- SSR = 3.75320 --- NPT = 24 ----------------------------------
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