PopED Results 

        2016-12-12 12:50:38

==============================================================================
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: 0
Number of model covariates: 1

Initial Sampling Schedule
   0.5      1      2      6     24     36     72    120

Minimum allowed sampling values
  0.01   0.01   0.01   0.01   0.01   0.01   0.01   0.01

Maximum allowed sampling values
   120    120    120    120    120    120    120    120

Covariates  (min, max):
Group 1: 70 (0.01, 100)

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

Initial OFV = 55.3964

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

Initial design expected parameter 
relative standard error (%RSE)
    Parameter   Values   RSE_0
      bpop[1]     0.15    5.10
      bpop[2]     8.00    3.03
      bpop[3]     1.00   14.26
       D[1,1]     0.07   29.76
       D[2,2]     0.02   36.68
       D[3,3]     0.60   26.75
   SIGMA[1,1]     0.01   32.01
   SIGMA[2,2]     0.25   25.64

==============================================================================
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-familty design (0) 
  (with or without parameter uncertainty)

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

* Optimize Sampling Schedule
* Optimize Covariates

*******************************
Initial Value
 OFV(mf) = 55.3964
*******************************

RS - It. : 2   OFV : 55.3964

*******************************
RS Results
 OFV(mf) = 55.3964

Optimized Sampling Schedule
   0.5      1      2      6     24     36     72    120

Optimized Covariates:
Group 1: 70

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

SG - It. : 1  OFV : 55.45   Diff. :     1
SG - It. : 2  OFV : 55.61   Diff. : 0.002799

SG - Iteration 2 --------- FINAL -------------------------
Normalized gradient: Grad_xt(OFV)/OFV
-0.00262406 -0.000132029 0.00495629 -0.000109895 -0.000341253 2.7264e-05 0.000160461 3.06136e-05 
xt opt:
0.210319 0.950299 2.28968 5.71032 23.7103 36.2897 72.2897 120 
Normalized gradient: Grad_a(OFV)/OFV
6.312884e-04
aopt:
7.024140e+01
OFV(mf)    : 55.6095
diff       : 0.00279928
*************************************************************
*****************************
            Line Search

group 1 -- xt[1] changed from  0.210319 to  0.01
     OFV(MF) changed from 55.6095 to 55.8352 
group 1 -- xt[1] changed from  0.01 to  120
     OFV(MF) changed from 55.8352 to 55.8915 
group 1 -- xt[7] changed from  72.2897 to  120
     OFV(MF) changed from 55.8915 to 55.983 
group 1 -- xt[6] changed from  36.2897 to  60.005
     OFV(MF) changed from 55.983 to 55.9922 
group 1 -- xt[6] changed from  60.005 to  120
     OFV(MF) changed from 55.9922 to 56.0561 

Best value for OFV(MF) = 56.0561

Best value for xt:
0.9503   2.29   5.71  23.71    120    120    120    120

group 1 -- a[1] changed from  70.2414 to  100
     OFV(MF) changed from 56.0561 to 56.8149 
Best value for OFV(MF) = 56.8149

Best value for a: 
Group 1: 100


Line search run time: 0.391 seconds
***************************

===============================================================================
FINAL RESULTS
Optimized Sampling Schedule
0.9503   2.29   5.71  23.71    120    120    120    120

Optimized Covariates:
Group 1: 100

 FIM: 
 1.841462e+04 -2.646428e+01 -1.288866e+01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-2.646428e+01  1.874169e+01 -3.209473e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-1.288866e+01 -3.209473e+00  4.889567e+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  2.682319e+03  1.575806e+01  5.840074e-02  4.236895e+02  5.925998e+01
 0.000000e+00  0.000000e+00  0.000000e+00  1.575806e+01  2.248007e+04  1.030072e+01  1.081192e+04  1.389206e+02
 0.000000e+00  0.000000e+00  0.000000e+00  5.840074e-02  1.030072e+01  3.735604e+01  1.303299e+02  2.083231e+00
 0.000000e+00  0.000000e+00  0.000000e+00  4.236895e+02  1.081192e+04  1.303299e+02  2.030748e+05  3.499830e+03
 0.000000e+00  0.000000e+00  0.000000e+00  5.925998e+01  1.389206e+02  2.083231e+00  3.499830e+03  6.998942e+02


Inverse(FIM):
 5.443370e-05  8.022220e-05  1.961418e-05  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 8.022220e-05  5.408178e-02  3.571032e-03  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.961418e-05  3.571032e-03  2.069128e-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  3.735228e-04  4.996878e-08  2.002626e-06 -2.603667e-07 -3.034005e-05
 0.000000e+00  0.000000e+00  0.000000e+00  4.996878e-08  4.566083e-05 -4.103358e-06 -2.486751e-06  3.379887e-06
 0.000000e+00  0.000000e+00  0.000000e+00  2.002626e-06 -4.103358e-06  2.682991e-02 -1.711442e-05  6.366683e-06
 0.000000e+00  0.000000e+00  0.000000e+00 -2.603667e-07 -2.486751e-06 -1.711442e-05  5.535502e-06 -2.711377e-05
 0.000000e+00  0.000000e+00  0.000000e+00 -3.034005e-05  3.379887e-06  6.366683e-06 -2.711377e-05  1.566249e-03

OFV = 56.8149

Efficiency criterion [usually defined as det(FIM)^(1/npar)]  = 1214.22

Efficiency: 
  ((exp(ofv_final) / exp(ofv_init))^(1/n_parameters)) = 1.194

Expected parameter 
relative standard error (%RSE):
    Parameter   Values   RSE_0     RSE
      bpop[1]     0.15    5.10    4.92
      bpop[2]     8.00    3.03    2.91
      bpop[3]     1.00   14.26   14.38
       D[1,1]     0.07   29.76   27.61
       D[2,2]     0.02   36.68   33.79
       D[3,3]     0.60   26.75   27.30
   SIGMA[1,1]     0.01   32.01   23.53
   SIGMA[2,2]     0.25   25.64   15.83

Total running time: 1.138 seconds
