Model run by stephane.hess using Apollo 0.2.9 on R 4.0.5 for Darwin. www.ApolloChoiceModelling.com Model name : MDCNEV Model description : MDCNEV model on time use data, alpha-gamma profile with outside good and socio-demographics Model run at : 2023-05-10 22:30:05 Estimation method : bfgs Model diagnosis : successful convergence Optimisation diagnosis : Maximum found hessian properties : Negative definitive maximum eigenvalue : -0.000143 Number of individuals : 447 Number of rows in database : 2826 Number of modelled outcomes : 2826 Number of cores used : 4 Model without mixing LL(start) : -15007.36 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -14991.16 Rho-squared vs equal shares : Not applicable Adj.Rho-squared vs equal shares : Not applicable Rho-squared vs observed shares : Not applicable Adj.Rho-squared vs observed shares : Not applicable AIC : 30014.33 BIC : 30109.48 Estimated parameters : 16 Time taken (hh:mm:ss) : 00:08:25.29 pre-estimation : 00:00:11.42 estimation : 00:04:6.01 initial estimation : 00:03:40.77 estimation after rescaling : 00:00:25.24 post-estimation : 00:04:7.85 Iterations : 27 initial estimation : 24 estimation after rescaling : 3 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -14.7619 83.58407 -0.1766 0.11473 -128.663 gamma_work 4.6712 0.28702 16.2751 0.27694 16.868 gamma_school 3.0881 0.58320 5.2951 0.54541 5.662 gamma_shopping 0.5372 0.04003 13.4197 0.04693 11.447 gamma_private 0.6165 0.05009 12.3093 0.06721 9.173 gamma_leisure 2.6528 0.18265 14.5241 0.21283 12.465 delta_work -3.7000 0.07139 -51.8287 0.11766 -31.447 delta_school -7.4171 0.22460 -33.0239 0.34584 -21.447 delta_shopping -3.6624 0.04272 -85.7370 0.05532 -66.206 delta_private -4.2749 0.04787 -89.3040 0.06214 -68.794 delta_leisure -3.3129 0.04073 -81.3390 0.05308 -62.410 delta_work_FT 1.3422 0.08305 16.1613 0.13665 9.822 delta_work_wknd -2.8878 0.14356 -20.1160 0.19744 -14.626 delta_school_young 2.3379 0.25770 9.0723 0.40206 5.815 delta_leisure_wknd 0.2309 0.06282 3.6762 0.06676 3.459 theta_mandatory 1.0000 NA NA NA NA theta_optional 0.8583 0.02385 35.9874 0.03752 22.877 Nest structure for model component : mandatory (1): work, school, private optional. (0.86): outside, shopping, leisure Overview of choices for model component : outside work school shopping private leisure Times available 2826.00 2826.00 2826.00 2826.0 2826.00 2826.00 Observations in which chosen 2826.00 1139.00 85.00 783.0 535.00 1174.00 Average consumption when available 18.21 2.89 0.11 0.5 0.44 1.85 Average consumption when chosen 18.21 7.17 3.52 1.8 2.34 4.45 Classical covariance matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 6986.296267 -0.020998 -0.011258 -8.0800e-04 -0.002970 gamma_work -0.020998 0.082380 -3.8254e-04 -7.7658e-04 -3.745e-05 gamma_school -0.011258 -3.8254e-04 0.340128 -5.263e-05 -1.708e-05 gamma_shopping -8.0800e-04 -7.7658e-04 -5.263e-05 0.001602 -1.232e-05 gamma_private -0.002970 -3.745e-05 -1.708e-05 -1.232e-05 0.002509 gamma_leisure -0.004164 -0.004514 -4.8970e-04 0.002664 -7.880e-05 delta_work 0.007783 -0.002304 1.3280e-04 5.055e-05 5.802e-06 delta_school 0.007530 -1.3075e-04 -2.3905e-04 -1.225e-05 3.348e-07 delta_shopping 0.009159 -8.1815e-04 -4.359e-05 3.5477e-04 -1.322e-05 delta_private 0.007597 -9.205e-05 1.962e-06 -4.598e-06 -2.2180e-04 delta_leisure 0.008553 -4.9296e-04 2.934e-06 3.1472e-04 -8.316e-06 delta_work_FT -1.6055e-04 -0.005141 -1.2655e-04 3.555e-05 -9.627e-06 delta_work_wknd 1.2800e-04 0.006488 -7.244e-05 -6.058e-05 9.085e-06 delta_school_young -8.854e-05 1.0423e-04 -0.003061 -2.396e-05 -5.046e-08 delta_leisure_wknd -3.5908e-04 4.2159e-04 -2.861e-05 -2.3471e-04 1.233e-05 theta_optional -0.001564 7.7812e-04 4.807e-05 -5.4653e-04 1.308e-05 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -0.004164 0.007783 0.007530 0.009159 0.007597 gamma_work -0.004514 -0.002304 -1.3075e-04 -8.1815e-04 -9.205e-05 gamma_school -4.8970e-04 1.3280e-04 -2.3905e-04 -4.359e-05 1.962e-06 gamma_shopping 0.002664 5.055e-05 -1.225e-05 3.5477e-04 -4.598e-06 gamma_private -7.880e-05 5.802e-06 3.348e-07 -1.322e-05 -2.2180e-04 gamma_leisure 0.033361 2.7281e-04 -1.0817e-04 0.002679 -5.614e-05 delta_work 2.7281e-04 0.005096 3.7969e-04 3.5124e-04 3.8988e-04 delta_school -1.0817e-04 3.7969e-04 0.050444 2.8114e-04 3.8524e-04 delta_shopping 0.002679 3.5124e-04 2.8114e-04 0.001825 2.9337e-04 delta_private -5.614e-05 3.8988e-04 3.8524e-04 2.9337e-04 0.002291 delta_leisure 6.1054e-04 4.2242e-04 2.8242e-04 6.1453e-04 2.9067e-04 delta_work_FT 1.9720e-04 -0.004655 5.469e-06 3.463e-05 -8.444e-06 delta_work_wknd -4.1168e-04 -9.1040e-04 3.786e-05 -6.752e-05 2.193e-05 delta_school_young -9.569e-05 3.023e-05 -0.050246 -1.712e-05 -8.641e-06 delta_leisure_wknd -0.001802 -2.9834e-04 4.946e-05 -2.2507e-04 3.480e-05 theta_optional -0.002778 -5.271e-05 1.074e-05 -5.5435e-04 8.085e-07 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 0.008553 -1.6055e-04 1.2800e-04 -8.854e-05 -3.5908e-04 gamma_work -4.9296e-04 -0.005141 0.006488 1.0423e-04 4.2159e-04 gamma_school 2.934e-06 -1.2655e-04 -7.244e-05 -0.003061 -2.861e-05 gamma_shopping 3.1472e-04 3.555e-05 -6.058e-05 -2.396e-05 -2.3471e-04 gamma_private -8.316e-06 -9.627e-06 9.085e-06 -5.046e-08 1.233e-05 gamma_leisure 6.1054e-04 1.9720e-04 -4.1168e-04 -9.569e-05 -0.001802 delta_work 4.2242e-04 -0.004655 -9.1040e-04 3.023e-05 -2.9834e-04 delta_school 2.8242e-04 5.469e-06 3.786e-05 -0.050246 4.946e-05 delta_shopping 6.1453e-04 3.463e-05 -6.752e-05 -1.712e-05 -2.2507e-04 delta_private 2.9067e-04 -8.444e-06 2.193e-05 -8.641e-06 3.480e-05 delta_leisure 0.001659 1.827e-05 -3.1992e-04 -1.764e-05 -0.001436 delta_work_FT 1.827e-05 0.006898 -0.001336 -6.737e-05 -1.745e-05 delta_work_wknd -3.1992e-04 -0.001336 0.020609 -1.499e-05 9.2614e-04 delta_school_young -1.764e-05 -6.737e-05 -1.499e-05 0.066410 1.371e-05 delta_leisure_wknd -0.001436 -1.745e-05 9.2614e-04 1.371e-05 0.003947 theta_optional -3.3022e-04 -4.429e-05 7.561e-05 2.034e-05 2.5551e-04 theta_optional alpha_base -0.001564 gamma_work 7.7812e-04 gamma_school 4.807e-05 gamma_shopping -5.4653e-04 gamma_private 1.308e-05 gamma_leisure -0.002778 delta_work -5.271e-05 delta_school 1.074e-05 delta_shopping -5.5435e-04 delta_private 8.085e-07 delta_leisure -3.3022e-04 delta_work_FT -4.429e-05 delta_work_wknd 7.561e-05 delta_school_young 2.034e-05 delta_leisure_wknd 2.5551e-04 theta_optional 5.6888e-04 Robust covariance matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 0.013164 0.012411 0.006225 -9.3371e-04 5.6606e-04 gamma_work 0.012411 0.076694 0.012728 -0.001654 0.001206 gamma_school 0.006225 0.012728 0.297468 -0.002134 7.7326e-04 gamma_shopping -9.3371e-04 -0.001654 -0.002134 0.002202 5.945e-05 gamma_private 5.6606e-04 0.001206 7.7326e-04 5.945e-05 0.004518 gamma_leisure -0.004428 -0.002102 -0.004507 0.004108 -0.001064 delta_work -0.001319 -0.003475 -0.002733 6.4129e-04 -7.7435e-04 delta_school 0.011394 0.011270 0.045076 -8.6083e-04 1.5410e-04 delta_shopping -7.7401e-04 -0.002582 -3.6870e-04 5.2201e-04 -3.1997e-04 delta_private 9.3053e-04 0.001168 0.001519 -1.9440e-04 -1.2716e-04 delta_leisure -7.2512e-04 -0.002655 0.001207 4.3192e-04 -2.4733e-04 delta_work_FT -0.002342 -0.011896 0.003176 -3.4254e-04 4.9324e-04 delta_work_wknd 0.004421 0.020957 0.001502 -4.583e-05 7.3022e-04 delta_school_young -0.011499 -0.005537 -0.047043 8.6560e-04 1.8894e-04 delta_leisure_wknd 6.1053e-04 0.001687 0.001865 -5.4525e-04 7.709e-05 theta_optional 0.001595 0.001807 0.001363 -9.8676e-04 1.1367e-04 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -0.004428 -0.001319 0.011394 -7.7401e-04 9.3053e-04 gamma_work -0.002102 -0.003475 0.011270 -0.002582 0.001168 gamma_school -0.004507 -0.002733 0.045076 -3.6870e-04 0.001519 gamma_shopping 0.004108 6.4129e-04 -8.6083e-04 5.2201e-04 -1.9440e-04 gamma_private -0.001064 -7.7435e-04 1.5410e-04 -3.1997e-04 -1.2716e-04 gamma_leisure 0.045295 0.002610 -2.6624e-04 0.003639 -0.001300 delta_work 0.002610 0.013844 0.004059 9.2379e-04 -4.3808e-04 delta_school -2.6624e-04 0.004059 0.119604 -0.001678 8.7777e-04 delta_shopping 0.003639 9.2379e-04 -0.001678 0.003060 5.5557e-04 delta_private -0.001300 -4.3808e-04 8.7777e-04 5.5557e-04 0.003861 delta_leisure 8.1529e-04 3.6858e-04 -4.7597e-04 0.001324 8.5952e-04 delta_work_FT -0.002332 -0.013551 -0.005292 -3.4690e-04 4.2593e-04 delta_work_wknd 0.003064 7.9020e-04 0.012142 -0.001236 -2.4708e-04 delta_school_young -5.4665e-04 -0.008469 -0.119821 0.001402 -0.001128 delta_leisure_wknd -0.002088 -4.386e-05 3.9638e-04 -3.7412e-04 5.741e-05 theta_optional -0.005313 -3.8576e-04 0.001434 -0.001194 9.106e-05 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base -7.2512e-04 -0.002342 0.004421 -0.011499 6.1053e-04 gamma_work -0.002655 -0.011896 0.020957 -0.005537 0.001687 gamma_school 0.001207 0.003176 0.001502 -0.047043 0.001865 gamma_shopping 4.3192e-04 -3.4254e-04 -4.583e-05 8.6560e-04 -5.4525e-04 gamma_private -2.4733e-04 4.9324e-04 7.3022e-04 1.8894e-04 7.709e-05 gamma_leisure 8.1529e-04 -0.002332 0.003064 -5.4665e-04 -0.002088 delta_work 3.6858e-04 -0.013551 7.9020e-04 -0.008469 -4.386e-05 delta_school -4.7597e-04 -0.005292 0.012142 -0.119821 3.9638e-04 delta_shopping 0.001324 -3.4690e-04 -0.001236 0.001402 -3.7412e-04 delta_private 8.5952e-04 4.2593e-04 -2.4708e-04 -0.001128 5.741e-05 delta_leisure 0.002818 3.9201e-04 -9.0022e-04 3.3568e-04 -0.001690 delta_work_FT 3.9201e-04 0.018674 -0.006530 0.008747 -1.9140e-04 delta_work_wknd -9.0022e-04 -0.006530 0.038983 -0.005972 2.9354e-04 delta_school_young 3.3568e-04 0.008747 -0.005972 0.161652 0.001144 delta_leisure_wknd -0.001690 -1.9140e-04 2.9354e-04 0.001144 0.004457 theta_optional -7.3224e-04 1.5868e-04 1.9659e-04 -0.001066 6.7546e-04 theta_optional alpha_base 0.001595 gamma_work 0.001807 gamma_school 0.001363 gamma_shopping -9.8676e-04 gamma_private 1.1367e-04 gamma_leisure -0.005313 delta_work -3.8576e-04 delta_school 0.001434 delta_shopping -0.001194 delta_private 9.106e-05 delta_leisure -7.3224e-04 delta_work_FT 1.5868e-04 delta_work_wknd 1.9659e-04 delta_school_young -0.001066 delta_leisure_wknd 6.7546e-04 theta_optional 0.001408 Classical correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 1.000000 -8.7526e-04 -2.3096e-04 -2.4150e-04 -7.0944e-04 gamma_work -8.7526e-04 1.000000 -0.002285 -0.067592 -0.002605 gamma_school -2.3096e-04 -0.002285 1.000000 -0.002255 -5.8466e-04 gamma_shopping -2.4150e-04 -0.067592 -0.002255 1.000000 -0.006142 gamma_private -7.0944e-04 -0.002605 -5.8466e-04 -0.006142 1.000000 gamma_leisure -2.7273e-04 -0.086099 -0.004597 0.364351 -0.008613 delta_work 0.001304 -0.112453 0.003190 0.017690 0.001623 delta_school 4.0109e-04 -0.002028 -0.001825 -0.001363 2.977e-05 delta_shopping 0.002565 -0.066730 -0.001750 0.207478 -0.006178 delta_private 0.001899 -0.006700 7.029e-05 -0.002399 -0.092509 delta_leisure 0.002512 -0.042169 1.2351e-04 0.193033 -0.004076 delta_work_FT -2.313e-05 -0.215653 -0.002613 0.010695 -0.002314 delta_work_wknd 1.067e-05 0.157464 -8.6522e-04 -0.010541 0.001264 delta_school_young -4.110e-06 0.001409 -0.020366 -0.002322 -3.910e-06 delta_leisure_wknd -6.838e-05 0.023382 -7.8078e-04 -0.093335 0.003919 theta_optional -7.8471e-04 0.113664 0.003456 -0.572430 0.010952 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -2.7273e-04 0.001304 4.0109e-04 0.002565 0.001899 gamma_work -0.086099 -0.112453 -0.002028 -0.066730 -0.006700 gamma_school -0.004597 0.003190 -0.001825 -0.001750 7.029e-05 gamma_shopping 0.364351 0.017690 -0.001363 0.207478 -0.002399 gamma_private -0.008613 0.001623 2.977e-05 -0.006178 -0.092509 gamma_leisure 1.000000 0.020922 -0.002637 0.343314 -0.006420 delta_work 0.020922 1.000000 0.023680 0.115177 0.114089 delta_school -0.002637 0.023680 1.000000 0.029304 0.035832 delta_shopping 0.343314 0.115177 0.029304 1.000000 0.143469 delta_private -0.006420 0.114089 0.035832 0.143469 1.000000 delta_leisure 0.082070 0.145277 0.030873 0.353210 0.149084 delta_work_FT 0.013000 -0.785106 2.9319e-04 0.009761 -0.002124 delta_work_wknd -0.015701 -0.088832 0.001174 -0.011010 0.003192 delta_school_young -0.002033 0.001643 -0.868119 -0.001555 -7.0046e-04 delta_leisure_wknd -0.157024 -0.066523 0.003505 -0.083872 0.011572 theta_optional -0.637770 -0.030956 0.002006 -0.544093 7.0814e-04 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base 0.002512 -2.313e-05 1.067e-05 -4.110e-06 -6.838e-05 gamma_work -0.042169 -0.215653 0.157464 0.001409 0.023382 gamma_school 1.2351e-04 -0.002613 -8.6522e-04 -0.020366 -7.8078e-04 gamma_shopping 0.193033 0.010695 -0.010541 -0.002322 -0.093335 gamma_private -0.004076 -0.002314 0.001264 -3.910e-06 0.003919 gamma_leisure 0.082070 0.013000 -0.015701 -0.002033 -0.157024 delta_work 0.145277 -0.785106 -0.088832 0.001643 -0.066523 delta_school 0.030873 2.9319e-04 0.001174 -0.868119 0.003505 delta_shopping 0.353210 0.009761 -0.011010 -0.001555 -0.083872 delta_private 0.149084 -0.002124 0.003192 -7.0046e-04 0.011572 delta_leisure 1.000000 0.005401 -0.054714 -0.001681 -0.561041 delta_work_FT 0.005401 1.000000 -0.112091 -0.003148 -0.003345 delta_work_wknd -0.054714 -0.112091 1.000000 -4.0521e-04 0.102693 delta_school_young -0.001681 -0.003148 -4.0521e-04 1.000000 8.4697e-04 delta_leisure_wknd -0.561041 -0.003345 0.102693 8.4697e-04 1.000000 theta_optional -0.339925 -0.022359 0.022081 0.003308 0.170524 theta_optional alpha_base -7.8471e-04 gamma_work 0.113664 gamma_school 0.003456 gamma_shopping -0.572430 gamma_private 0.010952 gamma_leisure -0.637770 delta_work -0.030956 delta_school 0.002006 delta_shopping -0.544093 delta_private 7.0814e-04 delta_leisure -0.339925 delta_work_FT -0.022359 delta_work_wknd 0.022081 delta_school_young 0.003308 delta_leisure_wknd 0.170524 theta_optional 1.000000 Robust correlation matrix: alpha_base gamma_work gamma_school gamma_shopping gamma_private alpha_base 1.00000 0.39060 0.09949 -0.173412 0.073402 gamma_work 0.39060 1.00000 0.08427 -0.127272 0.064775 gamma_school 0.09949 0.08427 1.00000 -0.083380 0.021093 gamma_shopping -0.17341 -0.12727 -0.08338 1.000000 0.018848 gamma_private 0.07340 0.06477 0.02109 0.018848 1.000000 gamma_leisure -0.18132 -0.03567 -0.03883 0.411351 -0.074380 delta_work -0.09774 -0.10666 -0.04259 0.116141 -0.097915 delta_school 0.28714 0.11768 0.23897 -0.053040 0.006629 delta_shopping -0.12195 -0.16853 -0.01222 0.201078 -0.086054 delta_private 0.13052 0.06786 0.04481 -0.066663 -0.030444 delta_leisure -0.11906 -0.18062 0.04169 0.173379 -0.069318 delta_work_FT -0.14935 -0.31434 0.04261 -0.053413 0.053700 delta_work_wknd 0.19517 0.38328 0.01395 -0.004946 0.055024 delta_school_young -0.24927 -0.04973 -0.21453 0.045876 0.006992 delta_leisure_wknd 0.07970 0.09123 0.05122 -0.174028 0.017180 theta_optional 0.37047 0.17391 0.06660 -0.560402 0.045073 gamma_leisure delta_work delta_school delta_shopping delta_private alpha_base -0.181324 -0.097736 0.287143 -0.12195 0.13052 gamma_work -0.035672 -0.106658 0.117675 -0.16853 0.06786 gamma_school -0.038827 -0.042594 0.238973 -0.01222 0.04481 gamma_shopping 0.411351 0.116141 -0.053040 0.20108 -0.06666 gamma_private -0.074380 -0.097915 0.006629 -0.08605 -0.03044 gamma_leisure 1.000000 0.104220 -0.003617 0.30908 -0.09832 delta_work 0.104220 1.000000 0.099756 0.14193 -0.05992 delta_school -0.003617 0.099756 1.000000 -0.08772 0.04084 delta_shopping 0.309084 0.141929 -0.087721 1.00000 0.16162 delta_private -0.098319 -0.059917 0.040845 0.16162 1.00000 delta_leisure 0.072165 0.059012 -0.025927 0.45103 0.26057 delta_work_FT -0.080191 -0.842768 -0.111978 -0.04589 0.05016 delta_work_wknd 0.072910 0.034015 0.177814 -0.11317 -0.02014 delta_school_young -0.006388 -0.179025 -0.861730 0.06305 -0.04515 delta_leisure_wknd -0.146928 -0.005583 0.017167 -0.10130 0.01384 theta_optional -0.665383 -0.087382 0.110485 -0.57517 0.03906 delta_leisure delta_work_FT delta_work_wknd delta_school_young delta_leisure_wknd alpha_base -0.11906 -0.14935 0.195171 -0.249271 0.079704 gamma_work -0.18062 -0.31434 0.383280 -0.049728 0.091233 gamma_school 0.04169 0.04261 0.013948 -0.214530 0.051216 gamma_shopping 0.17338 -0.05341 -0.004946 0.045876 -0.174028 gamma_private -0.06932 0.05370 0.055024 0.006992 0.017180 gamma_leisure 0.07217 -0.08019 0.072910 -0.006388 -0.146928 delta_work 0.05901 -0.84277 0.034015 -0.179025 -0.005583 delta_school -0.02593 -0.11198 0.177814 -0.861730 0.017167 delta_shopping 0.45103 -0.04589 -0.113172 0.063049 -0.101297 delta_private 0.26057 0.05016 -0.020139 -0.045150 0.013839 delta_leisure 1.00000 0.05404 -0.085892 0.015728 -0.476828 delta_work_FT 0.05404 1.00000 -0.242014 0.159196 -0.020979 delta_work_wknd -0.08589 -0.24201 1.000000 -0.075226 0.022269 delta_school_young 0.01573 0.15920 -0.075226 1.000000 0.042631 delta_leisure_wknd -0.47683 -0.02098 0.022269 0.042631 1.000000 theta_optional -0.36764 0.03095 0.026538 -0.070650 0.269651 theta_optional alpha_base 0.37047 gamma_work 0.17391 gamma_school 0.06660 gamma_shopping -0.56040 gamma_private 0.04507 gamma_leisure -0.66538 delta_work -0.08738 delta_school 0.11048 delta_shopping -0.57517 delta_private 0.03906 delta_leisure -0.36764 delta_work_FT 0.03095 delta_work_wknd 0.02654 delta_school_young -0.07065 delta_leisure_wknd 0.26965 theta_optional 1.00000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 2146576 1.144762e-06 9902059 1.615558e-05 9880000 1.987757e-05 6292582 3.853619e-05 8415029 6.452414e-05 3051038 7.019474e-05 8530000 7.460575e-05 8494828 7.518829e-05 9230000 7.685600e-05 7560000 8.772714e-05 7177352 9.735527e-05 5436896 9.914432e-05 6689995 1.033850e-04 3730000 1.058316e-04 1226238 1.138547e-04 2119561 1.224402e-04 1566942 1.277720e-04 9216479 1.441710e-04 6490000 1.471744e-04 2942411 1.499726e-04 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base -14.7609 -14.7619 -9.9219e-04 gamma_work 4.8990 4.6712 -0.227776 gamma_school 3.0985 3.0881 -0.010344 gamma_shopping 0.4264 0.5372 0.110749 gamma_private 0.6200 0.6165 -0.003479 gamma_leisure 2.0957 2.6528 0.557147 delta_work -3.7172 -3.7000 0.017219 delta_school -7.4182 -7.4171 0.001112 delta_shopping -3.8044 -3.6624 0.141930 delta_private -4.2786 -4.2749 0.003717 delta_leisure -3.4001 -3.3129 0.087175 delta_work_FT 1.3249 1.3422 0.017379 delta_work_wknd -2.8609 -2.8878 -0.026937 delta_school_young 2.3441 2.3379 -0.006174 delta_leisure_wknd 0.2949 0.2309 -0.063934 theta_mandatory 1.0000 1.0000 0.000000 theta_optional 1.0000 0.8583 -0.141652 Settings and functions used in model definition: apollo_control -------------- Value modelName "MDCNEV" modelDescr "MDCNEV model on time use data, alpha-gamma profile with outside good and socio-demographics" indivID "indivID" nCores "4" outputDirectory "output/" debug "FALSE" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical second derivative of LL (using numDeriv) Scaling in estimation --------------------- Value alpha_base 14.7618817 gamma_work 4.6712492 gamma_school 3.0881388 gamma_shopping 0.5371807 gamma_private 0.6165307 gamma_leisure 2.6528442 delta_work 3.7000174 delta_school 7.4171004 delta_shopping 3.6624233 delta_private 4.2749145 delta_leisure 3.3129127 delta_work_FT 1.3422311 delta_work_wknd 2.8878247 delta_school_young 2.3379434 delta_leisure_wknd 0.2309470 theta_optional 0.8583480 Scaling used in computing Hessian --------------------------------- Value alpha_base 14.7618837 gamma_work 4.6712485 gamma_school 3.0881384 gamma_shopping 0.5371808 gamma_private 0.6165307 gamma_leisure 2.6528447 delta_work 3.7000176 delta_school 7.4170999 delta_shopping 3.6624260 delta_private 4.2749142 delta_leisure 3.3129120 delta_work_FT 1.3422311 delta_work_wknd 2.8878244 delta_school_young 2.3379435 delta_leisure_wknd 0.2309470 theta_optional 0.8583477 apollo_probabilities ---------------------- function(apollo_beta, apollo_inputs, functionality="estimate"){ ### Attach inputs and detach after function exit apollo_attach(apollo_beta, apollo_inputs) on.exit(apollo_detach(apollo_beta, apollo_inputs)) ### Create list of probabilities P P = list() ### Define individual alternatives alternatives = c("outside", "work", "school", "shopping", "private", "leisure") ### Define availabilities avail = list(outside = 1, work = 1, school = 1, shopping = 1, private = 1, leisure = 1) ### Define continuous consumption for individual alternatives continuousChoice = list(outside = t_outside/60, work = t_a02/60, school = t_a03/60, shopping = t_a04/60, private = t_a05/60, leisure = t_leisure/60) ### Define utilities for individual alternatives V = list() V[["outside"]] = 0 V[["work"]] = delta_work + delta_work_FT * occ_full_time + delta_work_wknd * weekend V[["school"]] = delta_school + delta_school_young * (age<=30) V[["shopping"]] = delta_shopping V[["private"]] = delta_private V[["leisure"]] = delta_leisure + delta_leisure_wknd*weekend ### Define alpha parameters alpha = list(outside = 1 /(1 + exp(-alpha_base)), work = 1 /(1 + exp(-alpha_base)), school = 1 /(1 + exp(-alpha_base)), shopping = 1 /(1 + exp(-alpha_base)), private = 1 /(1 + exp(-alpha_base)), leisure = 1 /(1 + exp(-alpha_base))) ### Define gamma parameters gamma = list(work = gamma_work, school = gamma_school, shopping = gamma_shopping, private = gamma_private, leisure = gamma_leisure) ### Define nesting structure mdcnevNests = list(mandatory = theta_mandatory, optional = theta_optional) mdcnevStructure = matrix(0, nrow=length(mdcnevNests), ncol=length(V)) ### outside work school shopping private leisure mdcnevStructure[1,] = c( 0, 1, 1, 0, 1, 0) # mandatory mdcnevStructure[2,] = c( 1, 0, 0, 1, 0, 1) # optional ### Define costs for individual alternatives cost = list(outside = 1, work = 1, school = 1, shopping = 1, private = 1, leisure = 1) ### Define settings for MDCNEV model mdcnev_settings <- list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, utilities = V, alpha = alpha, gamma = gamma, cost = cost, budget = 24, mdcnevNests = mdcnevNests, mdcnevStructure = mdcnevStructure) ### Compute probabilities using MDCNEV model P[["model"]] = apollo_mdcnev(mdcnev_settings, functionality) ### Take product across observation for same individual P = apollo_panelProd(P, apollo_inputs, functionality) ### Prepare and return outputs of function P = apollo_prepareProb(P, apollo_inputs, functionality) return(P) }