inst/Examples/Example_5/Stdout.r

In PFIM: Pharmacokinetic/Pharmacodynamic Fisher Information Matrix

PFIM 3.2  
 
Option: 1 

 
Project: Example 5 
 
Date: Thu Feb 10 14:53:33 2011
 

 
**************************** INPUT SUMMARY ********************************
 
Analytical function model:  
 
dose/V * ka/(ka - (Cl/V)) * (exp(-(Cl/V) * t) - exp(-ka * t)) 
 

 
Initial population design: 

 
Sample times for response: A 
          Protocol subjects doses
1 c=(0.5, 2, 4, 8)       40    30

 
Total number of samples: 160
 
Associated criterion value: 1826.068
 
Identical sampling times for each response: TRUE
 
Number of occasions: 2
 
Random effect model: Trand =  2
 
Variance error model response A : ( 0.1 + 0 *f)^2

 

Optimization step:  
 
Sampling windows for the response: A 
Window 1 : t= 0.5 1 1.5 2 4 6 8 
    Nb of sampling points to be taken in this window, n[ 1 ]= 4 
Maximum total number of points in one elementary protocol : 4 
Minimum total number of points in one elementary protocol : 4 

 

Now evaluating the Fisher Information Matrix for the 35 protocols generated 

 
**************************** OPTIMISED DESIGN *****************************
 

 
Optimised population design: 
Sample times for response: A 
            times freq Subjects doses
1 c(0.5, 2, 6, 8)    1       40    30

 

 
Associated optimised criterion: 1913.953
 

 
******************* POPULATION FISHER INFORMATION MATRIX ******************
 
            [,1]       [,2]      [,3]         [,4]         [,5]         [,6]         [,7]         [,8]         [,9]
 [1,] 342.070959 -11.909950  2.294299    0.0000000    0.0000000    0.0000000 0.000000e+00 0.000000e+00 0.000000e+00
 [2,] -11.909950  29.371134  0.624963    0.0000000    0.0000000    0.0000000 0.000000e+00 0.000000e+00 0.000000e+00
 [3,]   2.294299   0.624963 98.030214    0.0000000    0.0000000    0.0000000 0.000000e+00 0.000000e+00 0.000000e+00
 [4,]   0.000000   0.000000  0.000000 1462.6567613   21.7203074    0.2631903 7.313284e+02 1.086015e+01 1.315952e-01
 [5,]   0.000000   0.000000  0.000000   21.7203074 1618.1679873    0.2392295 1.086015e+01 8.090840e+02 1.196147e-01
 [6,]   0.000000   0.000000  0.000000    0.2631903    0.2392295 1921.9845543 1.315952e-01 1.196147e-01 9.609923e+02
 [7,]   0.000000   0.000000  0.000000  731.3283806   10.8601537    0.1315952 1.252260e+04 4.388584e+03 3.991645e+01
 [8,]   0.000000   0.000000  0.000000   10.8601537  809.0839937    0.1196147 4.388584e+03 1.961824e+04 6.185025e+01
 [9,]   0.000000   0.000000  0.000000    0.1315952    0.1196147  960.9922772 3.991645e+01 6.185025e+01 3.560094e+04
[10,]   0.000000   0.000000  0.000000  414.3130643  276.7056180   28.1724200 2.608003e+03 1.889931e+03 9.261151e+02
            [,10]
 [1,]     0.00000
 [2,]     0.00000
 [3,]     0.00000
 [4,]   414.31306
 [5,]   276.70562
 [6,]    28.17242
 [7,]  2608.00290
 [8,]  1889.93103
 [9,]   926.11512
[10,] 20551.58326

 

 
************************** EXPECTED STANDARD ERRORS ************************
 
------------------------ Fixed Effects Parameters -------------------------
 
   Beta   StdError      RSE  
ka  1.0 0.05445931 5.445931 %
V   3.5 0.18585115 5.310033 %
Cl  2.0 0.10101646 5.050823 %

 

 
------------------------- Variance of Inter-Subject Random Effects ----------------------
 
   Omega   StdError      RSE  
ka  0.09 0.02660961 29.56624 %
V   0.09 0.02516549 27.96165 %
Cl  0.09 0.02296550 25.51722 %

 
------------------------- Variance of Inter-Occasion Random Effects ----------------------
 
    Gamma    StdError      RSE  
ka 0.0225 0.009552479 42.45546 %
V  0.0225 0.007539081 33.50703 %
Cl 0.0225 0.005339183 23.72970 %

 
------------------------ Standard deviation of residual error ------------------------
 
           Sigma    StdError      RSE  
sig.interA   0.1 0.007098313 7.098313 %

 
******************************* DETERMINANT ********************************
 
6.596486e+32
 
******************************** CRITERION *********************************
 
1913.953
 

 

 
Time difference of 0.595 secs
sys.self 
    0.03