PopED Optimization Results for the Adaptive Random Search Algorithm 

        2015-03-20 12:42:24

==============================================================================
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)

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

Initial Sampling Schedule
   0.5      1      2      6     24     36     72    120

Discrete Variables  (possible vales):
Group 1: 70 ( 10  20  30  40  50  60  70  80  90  100 )

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

OFV = 1.14386e+24

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

Initial design expected parameter variance 
and relative standard error (%RSE)
    Parameter   Values   Variance     RSE
      bpop[1]     0.15   5.84e-05    5.10
      bpop[2]     8.00   5.88e-02    3.03
      bpop[3]     1.00   2.03e-02   14.26
       D[1,1]     0.07   4.34e-04   29.76
       D[2,2]     0.02   5.38e-05   36.68
       D[3,3]     0.60   2.58e-02   26.75
   SIGMA[1,1]     0.01   1.02e-05   32.01
   SIGMA[2,2]     0.25   4.11e-03   25.64

==============================================================================
Optimization Settings

Random Search :
Number of cycles : 3
Locality factor for xt : 10
Locality factor for a  : 10

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

OFV calculation for FIM: 1 
  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-familty design (0) 
  (with or without parameter uncertainty)

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

* Optimize Discrete variables


*******************************
Initial Value
 OFV(mf) = 1.14386e+24
*******************************

RS - It. : 3   OFV : 1.53895e+24

*******************************
RS Results
 OFV(mf) = 1.53895e+24


Optimized Discrete Variables:
Group 1: 80

*********************************

===============================================================================
FINAL RESULTS


Optimized Discrete Variables:
Group 1: 80

 FIM: 
 1.763353e+04  1.594608e+01  7.763759e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.594608e+01  1.778430e+01 -3.175276e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 7.763759e+00 -3.175276e+00  5.022115e+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  2.459595e+03  5.721246e+00  2.119077e-02  7.223442e+02  7.541988e+01
 0.000000e+00  0.000000e+00  0.000000e+00  5.721246e+00  2.024201e+04  1.008238e+01  1.005356e+04  2.290878e+02
 0.000000e+00  0.000000e+00  0.000000e+00  2.119077e-02  1.008238e+01  3.940881e+01  6.600733e+01  2.408334e+00
 0.000000e+00  0.000000e+00  0.000000e+00  7.223442e+02  1.005356e+04  6.600733e+01  2.376988e+05  6.606579e+03
 0.000000e+00  0.000000e+00  0.000000e+00  7.541988e+01  2.290878e+02  2.408334e+00  6.606579e+03  4.019773e+02


Inverse(FIM):
 5.676346e-05 -5.306203e-05 -1.213004e-05  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-5.306203e-05  5.692096e-02  3.607081e-03  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-1.213004e-05  3.607081e-03  2.014187e-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  4.092719e-04  2.482119e-07  3.328219e-06  1.626612e-06 -1.036836e-04
 0.000000e+00  0.000000e+00  0.000000e+00  2.482119e-07  5.049554e-05 -9.513829e-06 -2.456345e-06  1.160343e-05
 0.000000e+00  0.000000e+00  0.000000e+00  3.328219e-06 -9.513829e-06  2.538963e-02 -4.719656e-06 -6.974888e-05
 0.000000e+00  0.000000e+00  0.000000e+00  1.626612e-06 -2.456345e-06 -4.719656e-06  7.871945e-06 -1.282541e-04
 0.000000e+00  0.000000e+00  0.000000e+00 -1.036836e-04  1.160343e-05 -6.974888e-05 -1.282541e-04  4.608844e-03

det(FIM) = 1.53895e+24

Efficiency criterion [usually defined as OFV^(1/npar)]  = 1055.37

Efficiency (final_design/initial_design): 1.03778

Expected parameter variance 
and relative standard error (%RSE):
    Parameter   Values   Variance     RSE   RSE_initial_design
      bpop[1]     0.15   5.68e-05    5.02                 5.10
      bpop[2]     8.00   5.69e-02    2.98                 3.03
      bpop[3]     1.00   2.01e-02   14.19                14.26
       D[1,1]     0.07   4.09e-04   28.90                29.76
       D[2,2]     0.02   5.05e-05   35.53                36.68
       D[3,3]     0.60   2.54e-02   26.56                26.75
   SIGMA[1,1]     0.01   7.87e-06   28.06                32.01
   SIGMA[2,2]     0.25   4.61e-03   27.16                25.64

Total running time: 0.058 seconds
