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Double Exponential Fit,

sample CFS results file (*.LST)

Single Exponential Fit


 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    |                                                                           |

              |                                                                    *      |

              |                                                                 *  |      |

              |                                       *                         |  |  *   |

              |           *        *     *   *        |  *   *     *            |  |  |   |

    0.0      -|---------------------------------------------------------------------------|-

              ||  |  |          |    *          |  *            *     |  *   |           ||

              ||  |  *          |               *                     |      |           ||

              ||  *             *                                     *      *           ||

              ||                                                                         ||

   -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    |                                                                           |

              |                                                                           |

              |                                                                           |

              |                                                                           |

              |                                                                           |

    0.0      -|-------------------------------------------------*------------*------------|-

              ||  |  |    |     |  | |   *   *  |  |  |  |   *     |  |  |      *  |  |  *|

              |*  *  |    |     |  | *          |  |  |  |         *  |  |         *  |   |

              |      |    |     |  *            |  |  *  |            *  *            *   |

              |      *    *     |               |  *     *                                |

  -0.72933    |                 *               *                                         |

               ----- SSR =   3.75320     --- NPT =   24 ----------------------------------




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