Model run by pk372 using Apollo 0.3.3 on R 4.3.1 for Linux.
Please acknowledge the use of Apollo by citing Hess & Palma (2019)
  DOI 10.1016/j.jocm.2019.100170
  www.ApolloChoiceModelling.com

Model name                                  : H1_AllSeasons_PreferenceSpaceModel_Balanced
Model description                           : H1_AllSeasons_PreferenceSpaceModel_Balanced
Model run at                                : 2024-07-17 15:32:30.723538
Estimation method                           : bgw
Model diagnosis                             : Relative function convergence
Optimisation diagnosis                      : Maximum found
     hessian properties                     : Negative definite
     maximum eigenvalue                     : -39.170478
     reciprocal of condition number         : 0.00657768
Number of individuals                       : 7163
Number of rows in database                  : 64467
Number of modelled outcomes                 : 64467

Number of cores used                        :  10 
Number of inter-individual draws            : 2000 (pmc)

LL(start)                                   : -75299.86
LL at equal shares, LL(0)                   : -70825.67
LL at observed shares, LL(C)                : -70527.34
LL(final)                                   : -53798.7
Rho-squared vs equal shares                  :  0.2404 
Adj.Rho-squared vs equal shares              :  0.2401 
Rho-squared vs observed shares               :  0.2372 
Adj.Rho-squared vs observed shares           :  0.237 
AIC                                         :  107635.4 
BIC                                         :  107807.8 

Estimated parameters                        : 19
Time taken (hh:mm:ss)                       :  01:24:21.28 
     pre-estimation                         :  00:14:3.53 
     estimation                             :  00:14:23.07 
          initial estimation                :  00:12:50.38 
          estimation after rescaling        :  00:01:32.69 
     post-estimation                        :  00:55:54.68 
Iterations                                  :  24  
     initial estimation                     :  23 
     estimation after rescaling             :  1 

Unconstrained optimisation.

Estimates:
                 Estimate        s.e.   t.rat.(0)  p(1-sided)    Rob.s.e.
asc_A              0.0000          NA          NA          NA          NA
asc_B              0.0000          NA          NA          NA          NA
asc_C             -1.3098     0.02682     -48.837     0.00000     0.03270
mu_Tax            -3.4260     0.04851     -70.630     0.00000     0.04743
mu_Colour2         0.1750     0.02158       8.110   2.220e-16     0.02174
mu_Colour          0.1994     0.03013       6.619   1.812e-11     0.02795
mu_Smell2          0.1191     0.01866       6.383   8.692e-11     0.01806
mu_Smell           0.1688     0.02861       5.901   1.805e-09     0.02872
mu_Sound2          0.2254     0.02067      10.908     0.00000     0.02104
mu_Sound           0.1645     0.02710       6.070   6.396e-10     0.02823
mu_Deadwood2       0.6939     0.02220      31.250     0.00000     0.02368
mu_Deadwood        0.2798     0.02578      10.852     0.00000     0.02663
sig_Tax            2.8860     0.05061      57.020     0.00000     0.05691
sig_Sound         -0.2396     0.15849      -1.512     0.06528     0.24718
sig_Smell         -0.4118     0.06660      -6.184   3.127e-10     0.06760
sig_Colour         0.5098     0.05215       9.776     0.00000     0.06075
sig_Deadwood       0.6223     0.04233      14.702     0.00000     0.04677
sig_Sound2         0.9821     0.02610      37.636     0.00000     0.02860
sig_Smell2         0.4902     0.03338      14.683     0.00000     0.03727
sig_Colour2        0.9367     0.02771      33.805     0.00000     0.03093
sig_Deadwood2      0.7423     0.02998      24.756     0.00000     0.03218
              Rob.t.rat.(0)  p(1-sided)
asc_A                    NA          NA
asc_B                    NA          NA
asc_C              -40.0556      0.0000
mu_Tax             -72.2324      0.0000
mu_Colour2           8.0492   4.441e-16
mu_Colour            7.1349   4.842e-13
mu_Smell2            6.5937   2.145e-11
mu_Smell             5.8777   2.080e-09
mu_Sound2           10.7152      0.0000
mu_Sound             5.8265   2.831e-09
mu_Deadwood2        29.2982      0.0000
mu_Deadwood         10.5095      0.0000
sig_Tax             50.7122      0.0000
sig_Sound           -0.9694      0.1662
sig_Smell           -6.0923   5.566e-10
sig_Colour           8.3922      0.0000
sig_Deadwood        13.3052      0.0000
sig_Sound2          34.3370      0.0000
sig_Smell2          13.1524      0.0000
sig_Colour2         30.2831      0.0000
sig_Deadwood2       23.0621      0.0000


Overview of choices for MNL model component :
                                       A        B        C
Times available                  64467.0 64467.00 64467.00
Times chosen                     23722.0 21966.00 18779.00
Percentage chosen overall           36.8    34.07    29.13
Percentage chosen when available    36.8    34.07    29.13



Classical covariance matrix:
                      asc_C        mu_Tax    mu_Colour2     mu_Colour
asc_C            7.1936e-04     3.458e-05    1.9389e-04    3.2450e-04
mu_Tax            3.458e-05      0.002353    -6.469e-06   -1.4621e-04
mu_Colour2       1.9389e-04    -6.469e-06    4.6557e-04    2.3356e-04
mu_Colour        3.2450e-04   -1.4621e-04    2.3356e-04    9.0789e-04
mu_Smell2        1.9543e-04     4.776e-05     5.651e-05    1.3767e-04
mu_Smell         1.5768e-04    4.0829e-04    -3.170e-05   -2.8052e-04
mu_Sound2        1.0414e-04    1.0839e-04    -5.914e-06     4.018e-05
mu_Sound          6.609e-06    3.2600e-04   -1.1591e-04   -3.4105e-04
mu_Deadwood2     1.2727e-04    3.0625e-04     6.372e-06     5.562e-05
mu_Deadwood      2.7414e-04    1.6035e-04    1.1947e-04    1.4295e-04
sig_Tax         -1.4955e-04     -0.001244     9.789e-06    1.5991e-04
sig_Sound        4.4328e-04   -3.2244e-04    1.9003e-04    2.8481e-04
sig_Smell        1.3787e-04    -2.492e-05     2.493e-05    -9.944e-06
sig_Colour       -6.407e-05    1.7975e-04     2.360e-05    1.6198e-04
sig_Deadwood     -4.696e-05    1.1795e-04     4.967e-05    1.1475e-04
sig_Sound2       -8.275e-05     9.510e-05     1.184e-05    -3.107e-05
sig_Smell2      -1.5073e-04     7.698e-05    -8.224e-05   -1.0677e-04
sig_Colour2      -6.883e-05    1.1978e-04    -4.154e-05    -4.022e-06
sig_Deadwood2    -3.246e-05     6.720e-05     8.492e-06     1.162e-05
                  mu_Smell2      mu_Smell     mu_Sound2      mu_Sound
asc_C            1.9543e-04    1.5768e-04    1.0414e-04     6.609e-06
mu_Tax            4.776e-05    4.0829e-04    1.0839e-04    3.2600e-04
mu_Colour2        5.651e-05    -3.170e-05    -5.914e-06   -1.1591e-04
mu_Colour        1.3767e-04   -2.8052e-04     4.018e-05   -3.4105e-04
mu_Smell2        3.4821e-04    1.1958e-04    -1.098e-05    -4.341e-05
mu_Smell         1.1958e-04    8.1858e-04     2.740e-05    1.4041e-04
mu_Sound2        -1.098e-05     2.740e-05    4.2708e-04    1.2004e-04
mu_Sound         -4.341e-05    1.4041e-04    1.2004e-04    7.3453e-04
mu_Deadwood2     -1.096e-06    1.5352e-04     4.650e-05     8.778e-06
mu_Deadwood       6.697e-05    -3.082e-06     1.248e-05    -1.228e-05
sig_Tax          -4.398e-05   -4.1785e-04    -8.633e-05   -3.0977e-04
sig_Sound        -4.589e-05    1.2711e-04     6.532e-05   -8.4486e-04
sig_Smell        -1.731e-05   -1.8395e-04    -7.603e-06     3.620e-05
sig_Colour        1.262e-05     8.792e-05     4.531e-05    -1.321e-05
sig_Deadwood      7.909e-06    -3.756e-05     4.598e-05    1.2811e-04
sig_Sound2        3.887e-06     4.714e-05    -2.494e-05     3.696e-05
sig_Smell2       -4.440e-05     4.869e-05     2.372e-05     4.979e-05
sig_Colour2      -7.163e-05     3.525e-05     7.265e-05     2.039e-05
sig_Deadwood2    -2.581e-06     3.485e-05     1.856e-05     1.175e-05
               mu_Deadwood2   mu_Deadwood       sig_Tax     sig_Sound
asc_C            1.2727e-04    2.7414e-04   -1.4955e-04    4.4328e-04
mu_Tax           3.0625e-04    1.6035e-04     -0.001244   -3.2244e-04
mu_Colour2        6.372e-06    1.1947e-04     9.789e-06    1.9003e-04
mu_Colour         5.562e-05    1.4295e-04    1.5991e-04    2.8481e-04
mu_Smell2        -1.096e-06     6.697e-05    -4.398e-05    -4.589e-05
mu_Smell         1.5352e-04    -3.082e-06   -4.1785e-04    1.2711e-04
mu_Sound2         4.650e-05     1.248e-05    -8.633e-05     6.532e-05
mu_Sound          8.778e-06    -1.228e-05   -3.0977e-04   -8.4486e-04
mu_Deadwood2     4.9306e-04    1.9023e-04   -2.9054e-04    1.2044e-04
mu_Deadwood      1.9023e-04    6.6485e-04   -1.3117e-04   -5.8767e-04
sig_Tax         -2.9054e-04   -1.3117e-04      0.002562    -8.038e-05
sig_Sound        1.2044e-04   -5.8767e-04    -8.038e-05      0.025118
sig_Smell        -7.591e-05     4.661e-05   -1.1955e-04    7.8497e-04
sig_Colour       1.4371e-04     5.529e-05   -1.4430e-04      0.002485
sig_Deadwood      9.028e-05    1.2010e-04    -8.482e-05    3.0775e-04
sig_Sound2        4.467e-05     6.440e-06    -5.354e-05   -7.1251e-04
sig_Smell2        3.667e-05    -4.869e-05    -6.647e-05    4.9307e-04
sig_Colour2      1.1203e-04     3.388e-06    -9.015e-05    3.7859e-04
sig_Deadwood2     6.321e-05     1.286e-05    -3.361e-05    1.3037e-04
                  sig_Smell    sig_Colour  sig_Deadwood    sig_Sound2
asc_C            1.3787e-04    -6.407e-05    -4.696e-05    -8.275e-05
mu_Tax           -2.492e-05    1.7975e-04    1.1795e-04     9.510e-05
mu_Colour2        2.493e-05     2.360e-05     4.967e-05     1.184e-05
mu_Colour        -9.944e-06    1.6198e-04    1.1475e-04    -3.107e-05
mu_Smell2        -1.731e-05     1.262e-05     7.909e-06     3.887e-06
mu_Smell        -1.8395e-04     8.792e-05    -3.756e-05     4.714e-05
mu_Sound2        -7.603e-06     4.531e-05     4.598e-05    -2.494e-05
mu_Sound          3.620e-05    -1.321e-05    1.2811e-04     3.696e-05
mu_Deadwood2     -7.591e-05    1.4371e-04     9.028e-05     4.467e-05
mu_Deadwood       4.661e-05     5.529e-05    1.2010e-04     6.440e-06
sig_Tax         -1.1955e-04   -1.4430e-04    -8.482e-05    -5.354e-05
sig_Sound        7.8497e-04      0.002485    3.0775e-04   -7.1251e-04
sig_Smell          0.004435    7.9943e-04    2.0551e-04    -8.814e-05
sig_Colour       7.9943e-04      0.002719    3.1165e-04     6.113e-05
sig_Deadwood     2.0551e-04    3.1165e-04      0.001792     4.542e-05
sig_Sound2       -8.814e-05     6.113e-05     4.542e-05    6.8097e-04
sig_Smell2      -1.5461e-04    1.8042e-04    1.1378e-04    1.0951e-04
sig_Colour2      -2.879e-05    2.7208e-04    1.5413e-04    1.0643e-04
sig_Deadwood2   -1.0122e-04    1.4837e-04    1.3081e-04    1.1969e-04
                 sig_Smell2   sig_Colour2 sig_Deadwood2
asc_C           -1.5073e-04    -6.883e-05    -3.246e-05
mu_Tax            7.698e-05    1.1978e-04     6.720e-05
mu_Colour2       -8.224e-05    -4.154e-05     8.492e-06
mu_Colour       -1.0677e-04    -4.022e-06     1.162e-05
mu_Smell2        -4.440e-05    -7.163e-05    -2.581e-06
mu_Smell          4.869e-05     3.525e-05     3.485e-05
mu_Sound2         2.372e-05     7.265e-05     1.856e-05
mu_Sound          4.979e-05     2.039e-05     1.175e-05
mu_Deadwood2      3.667e-05    1.1203e-04     6.321e-05
mu_Deadwood      -4.869e-05     3.388e-06     1.286e-05
sig_Tax          -6.647e-05    -9.015e-05    -3.361e-05
sig_Sound        4.9307e-04    3.7859e-04    1.3037e-04
sig_Smell       -1.5461e-04    -2.879e-05   -1.0122e-04
sig_Colour       1.8042e-04    2.7208e-04    1.4837e-04
sig_Deadwood     1.1378e-04    1.5413e-04    1.3081e-04
sig_Sound2       1.0951e-04    1.0643e-04    1.1969e-04
sig_Smell2         0.001114     9.855e-05     7.760e-05
sig_Colour2       9.855e-05    7.6780e-04    1.7080e-04
sig_Deadwood2     7.760e-05    1.7080e-04    8.9899e-04

Robust covariance matrix:
                      asc_C        mu_Tax    mu_Colour2     mu_Colour
asc_C              0.001069    -5.241e-05    2.0910e-04    2.5893e-04
mu_Tax           -5.241e-05      0.002250    -7.919e-05   -1.5360e-04
mu_Colour2       2.0910e-04    -7.919e-05    4.7264e-04    2.8334e-04
mu_Colour        2.5893e-04   -1.5360e-04    2.8334e-04    7.8126e-04
mu_Smell2        1.7558e-04     1.745e-05     9.254e-05    1.5242e-04
mu_Smell         2.2068e-04    4.5152e-04    -2.376e-06   -2.5576e-04
mu_Sound2        1.6818e-04    -2.247e-05     6.992e-05     7.112e-05
mu_Sound         1.5809e-04    1.8671e-04    -5.953e-05   -2.8803e-04
mu_Deadwood2     1.7250e-04    3.9401e-04     3.558e-05     6.486e-05
mu_Deadwood      3.6076e-04    1.5006e-04    1.8960e-04    1.2615e-04
sig_Tax         -1.4917e-04     -0.001053    1.3710e-04    2.2444e-04
sig_Sound        4.2255e-04    1.1069e-04    -2.679e-05    3.3867e-04
sig_Smell        1.1378e-04     9.756e-05    -8.189e-05     4.012e-05
sig_Colour       1.4115e-04    3.3726e-04    -6.613e-05    1.0745e-04
sig_Deadwood     1.3453e-04     8.964e-06     4.961e-05    2.1355e-04
sig_Sound2       -1.798e-05    1.7096e-04    -9.662e-06    -6.931e-05
sig_Smell2        2.579e-06    1.1503e-04   -1.2447e-04   -1.4668e-04
sig_Colour2       5.372e-05    3.1484e-04    -6.124e-05    -2.695e-05
sig_Deadwood2    1.1567e-04    1.1696e-04     4.057e-05     4.072e-05
                  mu_Smell2      mu_Smell     mu_Sound2      mu_Sound
asc_C            1.7558e-04    2.2068e-04    1.6818e-04    1.5809e-04
mu_Tax            1.745e-05    4.5152e-04    -2.247e-05    1.8671e-04
mu_Colour2        9.254e-05    -2.376e-06     6.992e-05    -5.953e-05
mu_Colour        1.5242e-04   -2.5576e-04     7.112e-05   -2.8803e-04
mu_Smell2        3.2630e-04    1.1092e-04     2.253e-05    -6.807e-06
mu_Smell         1.1092e-04    8.2512e-04     2.670e-05    1.5693e-04
mu_Sound2         2.253e-05     2.670e-05    4.4262e-04    2.3916e-04
mu_Sound         -6.807e-06    1.5693e-04    2.3916e-04    7.9721e-04
mu_Deadwood2      3.912e-05    2.4366e-04     6.570e-05     3.253e-05
mu_Deadwood       9.849e-05     8.013e-05     8.654e-05    1.0748e-04
sig_Tax           1.408e-05   -5.3966e-04     4.343e-05   -2.0205e-04
sig_Sound       -3.3826e-04    2.6336e-04   -3.4845e-04     -0.002300
sig_Smell        -2.480e-05   -2.8579e-04    -7.626e-05    -1.237e-05
sig_Colour       -4.743e-05    1.6389e-04    -7.113e-06   -1.4620e-04
sig_Deadwood      2.627e-05    -7.085e-05     6.354e-05    1.3278e-04
sig_Sound2       -5.539e-06    1.3434e-04     9.393e-05    1.8509e-04
sig_Smell2       -5.868e-05    1.4933e-04    -7.218e-06     1.375e-05
sig_Colour2     -1.0705e-04    1.5324e-04     8.711e-05     7.537e-05
sig_Deadwood2     5.116e-06    1.2660e-04     6.723e-06     3.979e-05
               mu_Deadwood2   mu_Deadwood       sig_Tax     sig_Sound
asc_C            1.7250e-04    3.6076e-04   -1.4917e-04    4.2255e-04
mu_Tax           3.9401e-04    1.5006e-04     -0.001053    1.1069e-04
mu_Colour2        3.558e-05    1.8960e-04    1.3710e-04    -2.679e-05
mu_Colour         6.486e-05    1.2615e-04    2.2444e-04    3.3867e-04
mu_Smell2         3.912e-05     9.849e-05     1.408e-05   -3.3826e-04
mu_Smell         2.4366e-04     8.013e-05   -5.3966e-04    2.6336e-04
mu_Sound2         6.570e-05     8.654e-05     4.343e-05   -3.4845e-04
mu_Sound          3.253e-05    1.0748e-04   -2.0205e-04     -0.002300
mu_Deadwood2     5.6094e-04    2.5142e-04   -4.1415e-04    2.8185e-04
mu_Deadwood      2.5142e-04    7.0895e-04   -1.0905e-04     -0.001773
sig_Tax         -4.1415e-04   -1.0905e-04      0.003239     -0.001531
sig_Sound        2.8185e-04     -0.001773     -0.001531      0.061099
sig_Smell        -1.733e-05     2.088e-05   -3.7223e-04      0.002177
sig_Colour       2.7503e-04    -6.413e-05   -5.4908e-04      0.006823
sig_Deadwood      9.758e-05    1.1739e-04    -7.514e-05      0.001415
sig_Sound2        6.621e-05     4.394e-05   -1.3636e-04     -0.002102
sig_Smell2        8.877e-05    -4.905e-05   -2.3202e-04      0.001956
sig_Colour2      2.0755e-04    -5.495e-05   -3.7244e-04      0.001660
sig_Deadwood2    2.0310e-04     9.387e-05   -1.0621e-04    8.3464e-04
                  sig_Smell    sig_Colour  sig_Deadwood    sig_Sound2
asc_C            1.1378e-04    1.4115e-04    1.3453e-04    -1.798e-05
mu_Tax            9.756e-05    3.3726e-04     8.964e-06    1.7096e-04
mu_Colour2       -8.189e-05    -6.613e-05     4.961e-05    -9.662e-06
mu_Colour         4.012e-05    1.0745e-04    2.1355e-04    -6.931e-05
mu_Smell2        -2.480e-05    -4.743e-05     2.627e-05    -5.539e-06
mu_Smell        -2.8579e-04    1.6389e-04    -7.085e-05    1.3434e-04
mu_Sound2        -7.626e-05    -7.113e-06     6.354e-05     9.393e-05
mu_Sound         -1.237e-05   -1.4620e-04    1.3278e-04    1.8509e-04
mu_Deadwood2     -1.733e-05    2.7503e-04     9.758e-05     6.621e-05
mu_Deadwood       2.088e-05    -6.413e-05    1.1739e-04     4.394e-05
sig_Tax         -3.7223e-04   -5.4908e-04    -7.514e-05   -1.3636e-04
sig_Sound          0.002177      0.006823      0.001415     -0.002102
sig_Smell          0.004570    9.7136e-04    3.1173e-04   -1.4083e-04
sig_Colour       9.7136e-04      0.003690    7.6971e-04     8.863e-05
sig_Deadwood     3.1173e-04    7.6971e-04      0.002187     5.921e-05
sig_Sound2      -1.4083e-04     8.863e-05     5.921e-05    8.1811e-04
sig_Smell2        1.838e-05    6.6767e-04    1.8431e-04    2.0337e-04
sig_Colour2       4.849e-05    7.6107e-04    3.6489e-04    1.7303e-04
sig_Deadwood2   -1.4405e-04    4.2558e-04    3.0225e-04    1.4029e-04
                 sig_Smell2   sig_Colour2 sig_Deadwood2
asc_C             2.579e-06     5.372e-05    1.1567e-04
mu_Tax           1.1503e-04    3.1484e-04    1.1696e-04
mu_Colour2      -1.2447e-04    -6.124e-05     4.057e-05
mu_Colour       -1.4668e-04    -2.695e-05     4.072e-05
mu_Smell2        -5.868e-05   -1.0705e-04     5.116e-06
mu_Smell         1.4933e-04    1.5324e-04    1.2660e-04
mu_Sound2        -7.218e-06     8.711e-05     6.723e-06
mu_Sound          1.375e-05     7.537e-05     3.979e-05
mu_Deadwood2      8.877e-05    2.0755e-04    2.0310e-04
mu_Deadwood      -4.905e-05    -5.495e-05     9.387e-05
sig_Tax         -2.3202e-04   -3.7244e-04   -1.0621e-04
sig_Sound          0.001956      0.001660    8.3464e-04
sig_Smell         1.838e-05     4.849e-05   -1.4405e-04
sig_Colour       6.6767e-04    7.6107e-04    4.2558e-04
sig_Deadwood     1.8431e-04    3.6489e-04    3.0225e-04
sig_Sound2       2.0337e-04    1.7303e-04    1.4029e-04
sig_Smell2         0.001389    3.1116e-04    1.7617e-04
sig_Colour2      3.1116e-04    9.5680e-04    2.9685e-04
sig_Deadwood2    1.7617e-04    2.9685e-04      0.001036

Classical correlation matrix:
                      asc_C        mu_Tax    mu_Colour2     mu_Colour
asc_C              1.000000      0.026578      0.335044      0.401535
mu_Tax             0.026578      1.000000     -0.006181     -0.100036
mu_Colour2         0.335044     -0.006181      1.000000      0.359243
mu_Colour          0.401535     -0.100036      0.359243      1.000000
mu_Smell2          0.390473      0.052765      0.140345      0.244849
mu_Smell           0.205478      0.294199     -0.051356     -0.325403
mu_Sound2          0.187892      0.108127     -0.013262      0.064528
mu_Sound           0.009092      0.247979     -0.198203     -0.417638
mu_Deadwood2       0.213697      0.284330      0.013299      0.083137
mu_Deadwood        0.396406      0.128202      0.214743      0.183992
sig_Tax           -0.110169     -0.506906      0.008963      0.104856
sig_Sound          0.104283     -0.041942      0.055569      0.059642
sig_Smell          0.077183     -0.007715      0.017349     -0.004956
sig_Colour        -0.045809      0.071060      0.020977      0.103089
sig_Deadwood      -0.041363      0.057447      0.054388      0.089971
sig_Sound2        -0.118228      0.075129      0.021025     -0.039521
sig_Smell2        -0.168360      0.047542     -0.114174     -0.106153
sig_Colour2       -0.092617      0.089118     -0.069482     -0.004817
sig_Deadwood2     -0.040358      0.046205      0.013127      0.012857
                  mu_Smell2      mu_Smell     mu_Sound2      mu_Sound
asc_C              0.390473      0.205478      0.187892      0.009092
mu_Tax             0.052765      0.294199      0.108127      0.247979
mu_Colour2         0.140345     -0.051356     -0.013262     -0.198203
mu_Colour          0.244849     -0.325403      0.064528     -0.417638
mu_Smell2          1.000000      0.223988     -0.028481     -0.085829
mu_Smell           0.223988      1.000000      0.046338      0.181084
mu_Sound2         -0.028481      0.046338      1.000000      0.214322
mu_Sound          -0.085829      0.181084      0.214322      1.000000
mu_Deadwood2      -0.002645      0.241645      0.101338      0.014587
mu_Deadwood        0.139180     -0.004177      0.023414     -0.017576
sig_Tax           -0.046569     -0.288557     -0.082540     -0.225828
sig_Sound         -0.015516      0.028032      0.019943     -0.196695
sig_Smell         -0.013926     -0.096538     -0.005524      0.020057
sig_Colour         0.012972      0.058924      0.042044     -0.009349
sig_Deadwood       0.010013     -0.031019      0.052560      0.111672
sig_Sound2         0.007983      0.063139     -0.046251      0.052259
sig_Smell2        -0.071279      0.050977      0.034379      0.055038
sig_Colour2       -0.138525      0.044460      0.126867      0.027147
sig_Deadwood2     -0.004613      0.040626      0.029957      0.014455
               mu_Deadwood2   mu_Deadwood       sig_Tax     sig_Sound
asc_C              0.213697      0.396406     -0.110169       0.10428
mu_Tax             0.284330      0.128202     -0.506906      -0.04194
mu_Colour2         0.013299      0.214743      0.008963       0.05557
mu_Colour          0.083137      0.183992      0.104856       0.05964
mu_Smell2         -0.002645      0.139180     -0.046569      -0.01552
mu_Smell           0.241645     -0.004177     -0.288557       0.02803
mu_Sound2          0.101338      0.023414     -0.082540       0.01994
mu_Sound           0.014587     -0.017576     -0.225828      -0.19669
mu_Deadwood2       1.000000      0.332258     -0.258519       0.03423
mu_Deadwood        0.332258      1.000000     -0.100510      -0.14381
sig_Tax           -0.258519     -0.100510      1.000000      -0.01002
sig_Sound          0.034225     -0.143807     -0.010021       1.00000
sig_Smell         -0.051329      0.027146     -0.035465       0.07437
sig_Colour         0.124111      0.041121     -0.054672       0.30073
sig_Deadwood       0.096056      0.110044     -0.039591       0.04588
sig_Sound2         0.077083      0.009571     -0.040536      -0.17228
sig_Smell2         0.049477     -0.056567     -0.039342       0.09320
sig_Colour2        0.182083      0.004742     -0.064282       0.08621
sig_Deadwood2      0.094941      0.016632     -0.022145       0.02743
                  sig_Smell    sig_Colour  sig_Deadwood    sig_Sound2
asc_C              0.077183     -0.045809      -0.04136     -0.118228
mu_Tax            -0.007715      0.071060       0.05745      0.075129
mu_Colour2         0.017349      0.020977       0.05439      0.021025
mu_Colour         -0.004956      0.103089       0.08997     -0.039521
mu_Smell2         -0.013926      0.012972       0.01001      0.007983
mu_Smell          -0.096538      0.058924      -0.03102      0.063139
mu_Sound2         -0.005524      0.042044       0.05256     -0.046251
mu_Sound           0.020057     -0.009349       0.11167      0.052259
mu_Deadwood2      -0.051329      0.124111       0.09606      0.077083
mu_Deadwood        0.027146      0.041121       0.11004      0.009571
sig_Tax           -0.035465     -0.054672      -0.03959     -0.040536
sig_Sound          0.074370      0.300725       0.04588     -0.172281
sig_Smell          1.000000      0.230185       0.07290     -0.050713
sig_Colour         0.230185      1.000000       0.14119      0.044921
sig_Deadwood       0.072902      0.141191       1.00000      0.041124
sig_Sound2        -0.050713      0.044921       0.04112      1.000000
sig_Smell2        -0.069546      0.103646       0.08053      0.125717
sig_Colour2       -0.015600      0.188290       0.13141      0.147187
sig_Deadwood2     -0.050690      0.094893       0.10307      0.152969
                 sig_Smell2   sig_Colour2 sig_Deadwood2
asc_C              -0.16836     -0.092617     -0.040358
mu_Tax              0.04754      0.089118      0.046205
mu_Colour2         -0.11417     -0.069482      0.013127
mu_Colour          -0.10615     -0.004817      0.012857
mu_Smell2          -0.07128     -0.138525     -0.004613
mu_Smell            0.05098      0.044460      0.040626
mu_Sound2           0.03438      0.126867      0.029957
mu_Sound            0.05504      0.027147      0.014455
mu_Deadwood2        0.04948      0.182083      0.094941
mu_Deadwood        -0.05657      0.004742      0.016632
sig_Tax            -0.03934     -0.064282     -0.022145
sig_Sound           0.09320      0.086208      0.027435
sig_Smell          -0.06955     -0.015600     -0.050690
sig_Colour          0.10365      0.188290      0.094893
sig_Deadwood        0.08053      0.131415      0.103073
sig_Sound2          0.12572      0.147187      0.152969
sig_Smell2          1.00000      0.106547      0.077533
sig_Colour2         0.10655      1.000000      0.205577
sig_Deadwood2       0.07753      0.205577      1.000000

Robust correlation matrix:
                      asc_C        mu_Tax    mu_Colour2     mu_Colour
asc_C              1.000000     -0.033789      0.294131       0.28328
mu_Tax            -0.033789      1.000000     -0.076798      -0.11586
mu_Colour2         0.294131     -0.076798      1.000000       0.46627
mu_Colour          0.283282     -0.115859      0.466270       1.00000
mu_Smell2          0.297239      0.020362      0.235648       0.30189
mu_Smell           0.234938      0.331408     -0.003805      -0.31855
mu_Sound2          0.244449     -0.022523      0.152864       0.12095
mu_Sound           0.171222      0.139421     -0.096977      -0.36496
mu_Deadwood2       0.222732      0.350740      0.069109       0.09797
mu_Deadwood        0.414338      0.118825      0.327547       0.16950
sig_Tax           -0.080158     -0.390160      0.110816       0.14110
sig_Sound          0.052276      0.009442     -0.004986       0.04902
sig_Smell          0.051469      0.030427     -0.055718       0.02123
sig_Colour         0.071052      0.117048     -0.050072       0.06328
sig_Deadwood       0.087960      0.004041      0.048792       0.16336
sig_Sound2        -0.019223      0.126014     -0.015538      -0.08670
sig_Smell2         0.002116      0.065076     -0.153631      -0.14082
sig_Colour2        0.053113      0.214592     -0.091068      -0.03117
sig_Deadwood2      0.109903      0.076619      0.057977       0.04527
                  mu_Smell2      mu_Smell     mu_Sound2      mu_Sound
asc_C              0.297239      0.234938      0.244449      0.171222
mu_Tax             0.020362      0.331408     -0.022523      0.139421
mu_Colour2         0.235648     -0.003805      0.152864     -0.096977
mu_Colour          0.301888     -0.318546      0.120948     -0.364961
mu_Smell2          1.000000      0.213775      0.059272     -0.013346
mu_Smell           0.213775      1.000000      0.044180      0.193496
mu_Sound2          0.059272      0.044180      1.000000      0.402604
mu_Sound          -0.013346      0.193496      0.402604      1.000000
mu_Deadwood2       0.091438      0.358145      0.131848      0.048649
mu_Deadwood        0.204784      0.104773      0.154496      0.142968
sig_Tax            0.013701     -0.330129      0.036277     -0.125748
sig_Sound         -0.075758      0.037092     -0.067005     -0.329562
sig_Smell         -0.020311     -0.147176     -0.053618     -0.006482
sig_Colour        -0.043226      0.093921     -0.005566     -0.085237
sig_Deadwood       0.031099     -0.052739      0.064580      0.100548
sig_Sound2        -0.010722      0.163513      0.156092      0.229184
sig_Smell2        -0.087163      0.139499     -0.009207      0.013065
sig_Colour2       -0.191579      0.172460      0.133855      0.086296
sig_Deadwood2      0.008799      0.136937      0.009929      0.043788
               mu_Deadwood2   mu_Deadwood       sig_Tax     sig_Sound
asc_C               0.22273       0.41434      -0.08016      0.052276
mu_Tax              0.35074       0.11882      -0.39016      0.009442
mu_Colour2          0.06911       0.32755       0.11082     -0.004986
mu_Colour           0.09797       0.16950       0.14110      0.049018
mu_Smell2           0.09144       0.20478       0.01370     -0.075758
mu_Smell            0.35815       0.10477      -0.33013      0.037092
mu_Sound2           0.13185       0.15450       0.03628     -0.067005
mu_Sound            0.04865       0.14297      -0.12575     -0.329562
mu_Deadwood2        1.00000       0.39869      -0.30727      0.048143
mu_Deadwood         0.39869       1.00000      -0.07197     -0.269426
sig_Tax            -0.30727      -0.07197       1.00000     -0.108856
sig_Sound           0.04814      -0.26943      -0.10886      1.000000
sig_Smell          -0.01083       0.01160      -0.09676      0.130301
sig_Colour          0.19115      -0.03965      -0.15883      0.454352
sig_Deadwood        0.08809       0.09426      -0.02823      0.122362
sig_Sound2          0.09774       0.05769      -0.08377     -0.297362
sig_Smell2          0.10058      -0.04943      -0.10940      0.212290
sig_Colour2         0.28331      -0.06671      -0.21158      0.217173
sig_Deadwood2       0.26643       0.10953      -0.05799      0.104914
                  sig_Smell    sig_Colour  sig_Deadwood    sig_Sound2
asc_C              0.051469      0.071052      0.087960      -0.01922
mu_Tax             0.030427      0.117048      0.004041       0.12601
mu_Colour2        -0.055718     -0.050072      0.048792      -0.01554
mu_Colour          0.021233      0.063280      0.163359      -0.08670
mu_Smell2         -0.020311     -0.043226      0.031099      -0.01072
mu_Smell          -0.147176      0.093921     -0.052739       0.16351
mu_Sound2         -0.053618     -0.005566      0.064580       0.15609
mu_Sound          -0.006482     -0.085237      0.100548       0.22918
mu_Deadwood2      -0.010826      0.191154      0.088095       0.09774
mu_Deadwood        0.011603     -0.039649      0.094265       0.05769
sig_Tax           -0.096758     -0.158826     -0.028233      -0.08377
sig_Sound          0.130301      0.454352      0.122362      -0.29736
sig_Smell          1.000000      0.236535      0.098597      -0.07284
sig_Colour         0.236535      1.000000      0.270909       0.05101
sig_Deadwood       0.098597      0.270909      1.000000       0.04426
sig_Sound2        -0.072837      0.051008      0.044260       1.00000
sig_Smell2         0.007297      0.294916      0.105747       0.19079
sig_Colour2        0.023188      0.405017      0.252226       0.19557
sig_Deadwood2     -0.066209      0.217666      0.200789       0.15240
                 sig_Smell2   sig_Colour2 sig_Deadwood2
asc_C              0.002116       0.05311      0.109903
mu_Tax             0.065076       0.21459      0.076619
mu_Colour2        -0.153631      -0.09107      0.057977
mu_Colour         -0.140817      -0.03117      0.045270
mu_Smell2         -0.087163      -0.19158      0.008799
mu_Smell           0.139499       0.17246      0.136937
mu_Sound2         -0.009207       0.13385      0.009929
mu_Sound           0.013065       0.08630      0.043788
mu_Deadwood2       0.100576       0.28331      0.266434
mu_Deadwood       -0.049432      -0.06671      0.109534
sig_Tax           -0.109400      -0.21158     -0.057987
sig_Sound          0.212290       0.21717      0.104914
sig_Smell          0.007297       0.02319     -0.066209
sig_Colour         0.294916       0.40502      0.217666
sig_Deadwood       0.105747       0.25223      0.200789
sig_Sound2         0.190790       0.19557      0.152396
sig_Smell2         1.000000       0.26993      0.146879
sig_Colour2        0.269925       1.00000      0.298176
sig_Deadwood2      0.146879       0.29818      1.000000

 20 worst outliers in terms of lowest average per choice prediction:
   ID Avg prob per choice
 6643           0.1233108
 7105           0.1248366
 2456           0.1258325
 5091           0.1271671
 5638           0.1280874
 1364           0.1292467
 6399           0.1336595
 2849           0.1351316
  339           0.1381537
  369           0.1395803
 4055           0.1403318
 3524           0.1425793
  302           0.1427152
 6363           0.1447449
 7098           0.1456213
 5476           0.1457968
 2788           0.1462417
 5226           0.1462768
 1580           0.1476740
 6900           0.1486646

Changes in parameter estimates from starting values:
                  Initial    Estimate  Difference
asc_A             0.00000      0.0000     0.00000
asc_B             0.00000      0.0000     0.00000
asc_C            -0.12596     -1.3098    -1.18389
mu_Tax           -3.00000     -3.4260    -0.42603
mu_Colour2        0.13625      0.1750     0.03874
mu_Colour         0.15130      0.1994     0.04813
mu_Smell2         0.10909      0.1191     0.01002
mu_Smell          0.06521      0.1688     0.10363
mu_Sound2         0.15022      0.2254     0.07521
mu_Sound          0.18945      0.1645    -0.02494
mu_Deadwood2      0.39822      0.6939     0.29568
mu_Deadwood       0.23732      0.2798     0.04251
sig_Tax           0.01000      2.8860     2.87597
sig_Sound         0.01000     -0.2396    -0.24961
sig_Smell         0.01000     -0.4118    -0.42184
sig_Colour        0.01000      0.5098     0.49982
sig_Deadwood      0.01000      0.6223     0.61229
sig_Sound2        0.01000      0.9821     0.97213
sig_Smell2        0.01000      0.4902     0.48015
sig_Colour2       0.01000      0.9367     0.92672
sig_Deadwood2     0.01000      0.7423     0.73225

Settings and functions used in model definition:

apollo_control
--------------
                       Value                                        
nCores                 "10"                                         
mixing                 "TRUE"                                       
modelDescr             "H1_AllSeasons_PreferenceSpaceModel_Balanced"
modelName              "H1_AllSeasons_PreferenceSpaceModel_Balanced"
indivID                "Respondent"                                 
outputDirectory        "CEOutputData/H1/Balanced/"                  
weights                "Weights"                                    
debug                  "FALSE"                                      
workInLogs             "FALSE"                                      
seed                   "13"                                         
HB                     "FALSE"                                      
noValidation           "FALSE"                                      
noDiagnostics          "FALSE"                                      
calculateLLC           "TRUE"                                       
analyticHessian        "FALSE"                                      
panelData              "TRUE"                                       
analyticGrad           "TRUE"                                       
analyticGrad_manualSet "FALSE"                                      
overridePanel          "FALSE"                                      
preventOverridePanel   "FALSE"                                      
noModification         "FALSE"                                      

Hessian routines attempted
--------------------------
numerical jacobian of LL analytical gradient

Scaling used in computing Hessian
---------------------------------
                  Value
asc_C         1.3098496
mu_Tax        3.4260251
mu_Colour2    0.1749911
mu_Colour     0.1994297
mu_Smell2     0.1191065
mu_Smell      0.1688358
mu_Sound2     0.2254330
mu_Sound      0.1645099
mu_Deadwood2  0.6939045
mu_Deadwood   0.2798255
sig_Tax       2.8859688
sig_Sound     0.2396120
sig_Smell     0.4118369
sig_Colour    0.5098164
sig_Deadwood  0.6222855
sig_Sound2    0.9821268
sig_Smell2    0.4901527
sig_Colour2   0.9367225
sig_Deadwood2 0.7422503


apollo_randCoeff
------------------
function (apollo_beta, apollo_inputs) 
{
    randcoeff = list()
    randcoeff[["beta_Tax"]] = -exp(mu_Tax + sig_Tax * draws_Tax)
    randcoeff[["b_Smell"]] = (mu_Smell + sig_Smell * draws_Smell)
    randcoeff[["b_Sound"]] = (mu_Sound + sig_Sound * draws_Sound)
    randcoeff[["b_Colour"]] = (mu_Colour + sig_Colour * draws_Colour)
    randcoeff[["b_Deadwood"]] = (mu_Deadwood + sig_Deadwood * 
        draws_Deadwood)
    randcoeff[["b_Smell2"]] = (mu_Smell2 + sig_Smell2 * draws_Smell2)
    randcoeff[["b_Sound2"]] = (mu_Sound2 + sig_Sound2 * draws_Sound2)
    randcoeff[["b_Colour2"]] = (mu_Colour2 + sig_Colour2 * draws_Colour2)
    randcoeff[["b_Deadwood2"]] = (mu_Deadwood2 + sig_Deadwood2 * 
        draws_Deadwood2)
    return(randcoeff)
}
<bytecode: 0x84eb628>


apollo_probabilities
----------------------
function (apollo_beta, apollo_inputs, functionality = "estimate") 
{
    apollo_attach(apollo_beta, apollo_inputs)
    on.exit(apollo_detach(apollo_beta, apollo_inputs))
    asc_C1 = asc_C
    P = list()
    V = list()
    V[["A"]] = asc_A + beta_Tax * Tax1 + b_Colour * (Colour1 == 
        1) + b_Colour2 * (Colour1 == 2) + b_Smell * (Smell1 == 
        1) + b_Smell2 * (Smell1 == 2) + b_Sound * (Sound1 == 
        1) + b_Sound2 * (Sound1 == 2) + b_Deadwood * (Deadwood1 == 
        7) + b_Deadwood2 * (Deadwood1 == 15)
    V[["B"]] = asc_B + beta_Tax * Tax2 + b_Colour * (Colour2 == 
        1) + b_Colour2 * (Colour2 == 2) + b_Smell * (Smell2 == 
        1) + b_Smell2 * (Smell2 == 2) + b_Sound * (Sound2 == 
        1) + b_Sound2 * (Sound2 == 2) + b_Deadwood * (Deadwood2 == 
        7) + b_Deadwood2 * (Deadwood2 == 15)
    V[["C"]] = asc_C1
    mnl_settings = list(alternatives = c(A = 1, B = 2, C = 3), 
        avail = list(A = 1, B = 1, C = 1), choiceVar = Choice, 
        V = V)
    P[["model"]] = apollo_mnl(mnl_settings, functionality)
    P = apollo_panelProd(P, apollo_inputs, functionality)
    P = apollo_avgInterDraws(P, apollo_inputs, functionality)
    P = apollo_weighting(P, apollo_inputs, functionality)
    P = apollo_prepareProb(P, apollo_inputs, functionality)
    return(P)
}
