PopED Results 

        2021-05-21 13:20:08

==============================================================================
Model description : PopED model 

Model Sizes : 
Number of individual model parameters                  g[j]    : Ng    = 5
Number of population model fixed parameters            bpop[j] : Nbpop = 4
Number of population model random effects parameters   b[j]    : Nb    = 3

Typical Population Parameters:
bpop[1]:  0.15 
bpop[2]:     8 
bpop[3]:     1 
bpop[4]:     1 

Between Subject Variability matrix D (variance units) 
0.07 0.00 0.00
0.00 0.02 0.00
0.00 0.00 0.60

Diagonal Elements of D [sqrt(param)]:
D[1,1]:  0.07 [0.2646] 
D[2,2]:  0.02 [0.1414] 
D[3,3]:   0.6 [0.7746] 

Residual Unexplained Variability matrix SIGMA (variance units) : 
0.01 0.00
0.00 0.25

Diagonal Elements of SIGMA [sqrt(param)]:
SIGMA[1,1]:  0.01 [  0.1] 
SIGMA[2,2]:  0.25 [  0.5] 

==============================================================================
Experiment description (design and design space)

Number of individuals: 32
Number of groups (individuals with same design): 1
Number of individuals per group:
     Group 1: 32
Number of samples per group:
 Number of discrete experimental variables: 0
Number of model covariates: 1

Initial Sampling Schedule
Group 1:    0.5      1      2      6     24     36     72    120

Minimum allowed sampling values
Group 1:   0.01   0.01   0.01   0.01   0.01   0.01   0.01   0.01

Maximum allowed sampling values
Group 1:    120    120    120    120    120    120    120    120

Covariates:
Group 1: 70

===============================================================================
Initial design evaluation

Initial OFV = 55.3964

Efficiency criterion [usually defined as OFV^(1/npar)]  = 1016.94

Initial design
expected relative standard error
(%RSE, rounded to nearest integer)
   Parameter   Values   RSE_0
          CL     0.15       5
           V        8       3
          KA        1      14
        d_CL     0.07      30
         d_V     0.02      37
        d_KA      0.6      27
    sig_prop     0.01      32
     sig_add     0.25      26

==============================================================================
Criterion Specification

OFV calculation for FIM: 4 
  1=Determinant of FIM,
  4=log determinant of FIM,
  6=determinant of interesting part of FIM (Ds)

Approximation method: 0
  0=FO, 
  1=FOCE, 
  2=FOCEI, 
  3=FOI

Fisher Information Matrix type: 1
  0=Full FIM,
  1=Reduced FIM,
  2=weighted models,
  3=Loc models,
  4=reduced FIM with derivative of SD of sigma as pfim,
  5=FULL FIM parameterized with A,B,C matrices & derivative of variance,
  6=Calculate one model switch at a time, good for large matrices,
  7=Reduced FIM parameterized with A,B,C matrices & derivative of variance

Design family: 1
  D-family design (1) or 
  ED-family design (0) 
  (with or without parameter uncertainty)

==============================================================================
Optimization of design parameters

* Optimize Sampling Schedule

MFEA - It. : 1
Exchanged sample 2 in group/ind 1 from 1 to 5.0516
Delta : 0.00814805   OFV. : 55.8478
MFEA - It. : 2
Exchanged sample 6 in group/ind 1 from 36 to 118.992
Delta : 0.0075907   OFV. : 56.2717
MFEA - It. : 3
Exchanged sample 3 in group/ind 1 from 2 to 5.0516
Delta : 0.00397759   OFV. : 56.4956
MFEA - It. : 4
Exchanged sample 5 in group/ind 1 from 24 to 6.05992
Delta : 0.0026399   OFV. : 56.6447
MFEA - It. : 5
Exchanged sample 7 in group/ind 1 from 72 to 89.7504
Delta : 0.000504905   OFV. : 56.6733
MFEA - It. : 6
Exchanged sample 8 in group/ind 1 from 120 to 99.8336
Delta : 0.000249075   OFV. : 56.6874
MFEA - It. : 7
Exchanged sample 6 in group/ind 1 from 118.992 to 108.908
Delta : 5.47899e-05   OFV. : 56.6905
MFEA - It. : 8
Exchanged sample 7 in group/ind 1 from 89.7504 to 99.8336
Delta : 9.48833e-05   OFV. : 56.6959
MFEA - It. : 9
Exchanged sample 2 in group/ind 1 from 5.0516 to 6.05992
Delta : 3.23664e-05   OFV. : 56.6978
MFEA - It. : 10
Exchanged sample 3 in group/ind 1 from 5.0516 to 6.05992
Delta : 2.56586e-05   OFV. : 56.6992
MFEA - It. : 11
Exchanged sample 6 in group/ind 1 from 108.908 to 103.867
Delta : 1.59013e-05   OFV. : 56.7001
MFEA - It. : 12
Exchanged sample 7 in group/ind 1 from 99.8336 to 101.85
Delta : 4.51108e-06   OFV. : 56.7004
MFEA - It. : 13
Exchanged sample 8 in group/ind 1 from 99.8336 to 101.85
Delta : 1.82907e-06   OFV. : 56.7005
MFEA - It. : 14
Exchanged sample 6 in group/ind 1 from 103.867 to 101.85
Delta : 1.84847e-06   OFV. : 56.7006
MFEA - It. : 15
Delta : 0   OFV. : 56.7006
===============================================================================
FINAL RESULTS
Optimized Sampling Schedule
Group 1:    0.5      6   6.06   6.06   6.06  101.9  101.9  101.9

 FIM: 
 1.696551e+04 -5.426344e+00  2.022872e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-5.426344e+00  2.087914e+01 -1.276929e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 2.022872e-01 -1.276929e+00  4.862848e+01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 0.000000e+00  0.000000e+00  0.000000e+00  2.276769e+03  6.625173e-01  1.438603e-05  3.165675e+02  1.132370e+02
 0.000000e+00  0.000000e+00  0.000000e+00  6.625173e-01  2.790007e+04  1.630548e+00  7.532117e+03  1.351413e+02
 0.000000e+00  0.000000e+00  0.000000e+00  1.438603e-05  1.630548e+00  3.694889e+01  7.397026e+01  5.490369e+00
 0.000000e+00  0.000000e+00  0.000000e+00  3.165675e+02  7.532117e+03  7.397026e+01  2.501916e+05  4.745531e+03
 0.000000e+00  0.000000e+00  0.000000e+00  1.132370e+02  1.351413e+02  5.490369e+00  4.745531e+03  5.166225e+02


Inverse(FIM):
 5.894801e-05  1.532980e-05  1.573284e-07  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.532980e-05  4.797572e-02  1.259725e-03  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.573284e-07  1.259725e-03  2.059716e-02  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 0.000000e+00  0.000000e+00  0.000000e+00  4.445672e-04  1.115233e-07  1.351131e-05  1.552104e-06 -1.118733e-04
 0.000000e+00  0.000000e+00  0.000000e+00  1.115233e-07  3.613612e-05  5.150894e-07 -1.099972e-06  6.213651e-07
 0.000000e+00  0.000000e+00  0.000000e+00  1.351131e-05  5.150894e-07  2.710961e-02 -3.056889e-06 -2.631221e-04
 0.000000e+00  0.000000e+00  0.000000e+00  1.552104e-06 -1.099972e-06 -3.056889e-06  4.879534e-06 -4.484183e-05
 0.000000e+00  0.000000e+00  0.000000e+00 -1.118733e-04  6.213651e-07 -2.631221e-04 -4.484183e-05  2.374707e-03

OFV = 56.7006

Efficiency criterion [usually defined as det(FIM)^(1/npar)]  = 1197

Efficiency: 
  ((exp(ofv_final) / exp(ofv_init))^(1/n_parameters)) = 1.1771

Expected relative standard error
(%RSE, rounded to nearest integer):
   Parameter   Values   RSE_0   RSE
          CL     0.15       5     5
           V        8       3     3
          KA        1      14    14
        d_CL     0.07       0     0
         d_V     0.02      37    30
        d_KA      0.6       0     0
    sig_prop     0.01      32    22
     sig_add     0.25      26    19

Total running time: 124.611 seconds
