PopED Results 

        2021-05-21 13:05:10

==============================================================================
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  (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 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
* Optimize Covariates

===============================================================================
FINAL RESULTS
Optimized Sampling Schedule
Group 1:   0.01 0.5591  5.971  5.971  5.971  5.971  97.69  105.4

Optimized Covariates:
Group 1: 100

 FIM: 
 1.758189e+04 -6.307184e+00 -9.706386e-01  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-6.307184e+00  2.139774e+01 -1.202874e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
-9.706386e-01 -1.202874e+00  5.009078e+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  2.445211e+03  8.950628e-01  3.312213e-04  4.479652e+02  8.853508e+01
 0.000000e+00  0.000000e+00  0.000000e+00  8.950628e-01  2.930324e+04  1.446905e+00  7.939132e+03  7.336248e+01
 0.000000e+00  0.000000e+00  0.000000e+00  3.312213e-04  1.446905e+00  3.920447e+01  8.415900e+01  2.608624e+00
 0.000000e+00  0.000000e+00  0.000000e+00  4.479652e+02  7.939132e+03  8.415900e+01  3.422839e+05  3.365699e+03
 0.000000e+00  0.000000e+00  0.000000e+00  8.853508e+01  7.336248e+01  2.608624e+00  3.365699e+03  4.745883e+02


Inverse(FIM):
 5.688282e-05  1.685146e-05  1.506921e-06  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.685146e-05  4.680208e-02  1.124226e-03  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00  0.000000e+00
 1.506921e-06  1.124226e-03  1.999078e-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  4.117623e-04  1.216745e-07  4.722921e-06  2.288446e-07 -7.848251e-05
 0.000000e+00  0.000000e+00  0.000000e+00  1.216745e-07  3.434182e-05  4.275524e-07 -8.001614e-07  3.409546e-07
 0.000000e+00  0.000000e+00  0.000000e+00  4.722921e-06  4.275524e-07  2.552551e-02 -5.270807e-06 -1.038711e-04
 0.000000e+00  0.000000e+00  0.000000e+00  2.288446e-07 -8.001614e-07 -5.270807e-06  3.160416e-06 -2.230316e-05
 0.000000e+00  0.000000e+00  0.000000e+00 -7.848251e-05  3.409546e-07 -1.038711e-04 -2.230316e-05  2.280419e-03

OFV = 57.3261

Efficiency criterion [usually defined as det(FIM)^(1/npar)]  = 1294.35

Efficiency: 
  ((exp(ofv_final) / exp(ofv_init))^(1/n_parameters)) = 1.2728

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    29
        d_KA      0.6       0     0
    sig_prop     0.01      32    18
     sig_add     0.25      26    19

Total running time: 440.414 seconds
