Model run by stephane.hess using Apollo 0.2.9 on R 4.0.5 for Darwin. www.ApolloChoiceModelling.com Model name : MDCEV_no_outside_good Model description : MDCEV model on time use data, alpha-gamma profile, no outside good and constants only in utilities Model run at : 2023-05-10 22:26:54 Estimation method : bfgs Model diagnosis : successful convergence Optimisation diagnosis : Maximum found hessian properties : Negative definitive maximum eigenvalue : -0.000284 Number of individuals : 447 Number of rows in database : 2826 Number of modelled outcomes : 2826 Number of cores used : 1 Model without mixing LL(start) : -36122.93 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -24018.62 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 : 48085.24 BIC : 48227.96 Estimated parameters : 24 Time taken (hh:mm:ss) : 00:00:29.84 pre-estimation : 00:00:0.36 estimation : 00:00:20.46 initial estimation : 00:00:19.92 estimation after rescaling : 00:00:0.54 post-estimation : 00:00:9.02 Iterations : 92 initial estimation : 89 estimation after rescaling : 3 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -15.22600 59.36391 -0.2565 0.05890 -258.4985 gamma_dropOff 0.45378 0.04495 10.0954 0.07941 5.7141 gamma_work 6.91964 0.39915 17.3359 0.30644 22.5807 gamma_school 3.13250 0.58436 5.3606 0.53977 5.8034 gamma_shopping 0.42558 0.02678 15.8890 0.03037 14.0142 gamma_privBusiness 0.61734 0.04987 12.3781 0.06650 9.2827 gamma_petrol 0.11693 0.02517 4.6448 0.03437 3.4018 gamma_leisure 1.82730 0.10868 16.8138 0.10581 17.2692 gamma_vacation 1.55785 0.59187 2.6321 0.43711 3.5639 gamma_exercise 2.87580 0.26228 10.9645 0.33648 8.5466 gamma_home 2.66401 0.23252 11.4570 0.40707 6.5444 gamma_travel 0.20166 0.01072 18.8168 0.01227 16.4361 gamma_other 1.66063 0.49168 3.3775 0.80093 2.0734 delta_dropOff -3.57837 0.08836 -40.4974 0.15790 -22.6621 delta_work -2.35206 0.07961 -29.5443 0.13405 -17.5461 delta_school -5.19985 0.13038 -39.8815 0.23359 -22.2603 delta_shopping -2.76150 0.08103 -34.0816 0.13923 -19.8341 delta_privBusiness -3.23578 0.08450 -38.2935 0.14439 -22.4105 delta_petrol -5.45227 0.14279 -38.1839 0.20658 -26.3926 delta_leisure -2.62775 0.08046 -32.6585 0.14134 -18.5915 delta_vacation -6.60975 0.22990 -28.7511 0.27378 -24.1425 delta_exercise -3.52952 0.08758 -40.3024 0.15579 -22.6558 delta_home 0.00000 NA NA NA NA delta_travel -0.07435 0.08621 -0.8624 0.14177 -0.5244 delta_other -5.62277 0.15199 -36.9955 0.20701 -27.1613 sig 1.00000 NA NA NA NA Overview of choices for model component : dropOff work school shopping privBusiness petrol leisure vacation exercise Times available 2826.00 2826.00 2826.00 2826.0 2826.00 2826.00 2826.00 2826.00 2826.00 Observations in which chosen 394.00 1139.00 85.00 783.0 535.00 66.00 883.00 21.00 420.00 Average consumption when available 0.39 2.89 0.11 0.5 0.44 0.03 1.10 0.02 0.73 Average consumption when chosen 2.81 7.17 3.52 1.8 2.34 1.33 3.52 2.75 4.90 home travel other Times available 2826.00 2826.00 2826.00 Observations in which chosen 2770.00 2328.00 56.00 Average consumption when available 16.10 1.59 0.10 Average consumption when chosen 16.43 1.93 4.82 Classical covariance matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 3524.073464 -7.4510e-04 -0.007798 -0.003396 -5.7145e-04 gamma_dropOff -7.4510e-04 0.002020 -4.279e-05 -6.029e-06 6.944e-08 gamma_work -0.007798 -4.279e-05 0.159321 -3.4770e-04 -4.646e-05 gamma_school -0.003396 -6.029e-06 -3.4770e-04 0.341475 -3.513e-06 gamma_shopping -5.7145e-04 6.944e-08 -4.646e-05 -3.513e-06 7.1741e-04 gamma_privBusiness -9.1798e-04 -2.451e-07 -7.015e-05 -1.316e-05 1.754e-07 gamma_petrol -1.5308e-04 -1.191e-08 -2.157e-06 -4.674e-07 1.313e-08 gamma_leisure -0.002287 -2.113e-06 -5.0693e-04 -9.282e-05 -1.293e-06 gamma_vacation -0.001867 1.958e-07 1.768e-05 1.144e-05 -1.463e-06 gamma_exercise -0.003766 -7.492e-06 -9.5953e-04 -2.1893e-04 -5.577e-06 gamma_home -0.004673 -3.351e-05 -0.007948 -0.001412 -1.518e-05 gamma_travel -3.1582e-04 6.224e-07 3.951e-05 -2.337e-06 1.244e-06 gamma_other -0.003217 -3.722e-06 -8.0660e-04 -1.3465e-04 -1.929e-06 delta_dropOff 8.337e-05 -1.6397e-04 -0.002427 -4.2164e-04 -4.242e-06 delta_work 6.059e-05 -8.446e-06 -0.006128 -4.1256e-04 -1.257e-06 delta_school 7.010e-05 -9.641e-06 -0.002432 -0.001313 -3.669e-06 delta_shopping 7.083e-05 -1.015e-05 -0.002381 -4.2058e-04 -1.5923e-04 delta_privBusiness 7.963e-05 -9.866e-06 -0.002399 -4.2148e-04 -4.184e-06 delta_petrol 7.161e-05 -9.723e-06 -0.002440 -4.2205e-04 -3.926e-06 delta_leisure 6.426e-05 -9.722e-06 -0.002355 -4.1728e-04 -3.849e-06 delta_vacation 7.079e-05 -9.693e-06 -0.002438 -4.2209e-04 -3.753e-06 delta_exercise 7.655e-05 -9.600e-06 -0.002416 -4.1994e-04 -3.546e-06 delta_travel -2.2384e-04 -1.352e-05 -0.002673 -4.1379e-04 -1.022e-05 delta_other 7.339e-05 -9.678e-06 -0.002440 -4.2217e-04 -3.729e-06 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -9.1798e-04 -1.5308e-04 -0.002287 -0.001867 -0.003766 gamma_dropOff -2.451e-07 -1.191e-08 -2.113e-06 1.958e-07 -7.492e-06 gamma_work -7.015e-05 -2.157e-06 -5.0693e-04 1.768e-05 -9.5953e-04 gamma_school -1.316e-05 -4.674e-07 -9.282e-05 1.144e-05 -2.1893e-04 gamma_shopping 1.754e-07 1.313e-08 -1.293e-06 -1.463e-06 -5.577e-06 gamma_privBusiness 0.002487 -2.530e-08 -4.573e-06 -1.393e-06 -1.165e-05 gamma_petrol -2.530e-08 6.3372e-04 -1.402e-07 1.354e-08 -3.573e-07 gamma_leisure -4.573e-06 -1.402e-07 0.011811 -7.281e-05 -8.144e-05 gamma_vacation -1.393e-06 1.354e-08 -7.281e-05 0.350312 -1.103e-05 gamma_exercise -1.165e-05 -3.573e-07 -8.144e-05 -1.103e-05 0.068791 gamma_home -6.417e-05 -1.989e-06 -5.3918e-04 -3.9926e-04 -0.001391 gamma_travel 8.630e-07 2.237e-08 6.378e-06 -7.070e-07 1.036e-06 gamma_other -7.608e-06 -6.635e-08 -5.718e-05 -1.8792e-04 -5.541e-05 delta_dropOff -1.898e-05 -6.099e-07 -1.6426e-04 -1.1965e-04 -4.2105e-04 delta_work -1.568e-05 -5.273e-07 -1.4319e-04 -1.1982e-04 -3.9537e-04 delta_school -1.875e-05 -5.907e-07 -1.6356e-04 -1.1959e-04 -4.2035e-04 delta_shopping -1.960e-05 -6.756e-07 -1.6574e-04 -1.1933e-04 -4.1900e-04 delta_privBusiness -2.2254e-04 -5.961e-07 -1.6395e-04 -1.1942e-04 -4.1879e-04 delta_petrol -1.875e-05 -3.686e-05 -1.6406e-04 -1.1960e-04 -4.2085e-04 delta_leisure -1.874e-05 -6.044e-07 -9.0583e-04 -1.1571e-04 -4.1478e-04 delta_vacation -1.877e-05 -5.952e-07 -1.6427e-04 -5.8694e-04 -4.2077e-04 delta_exercise -1.850e-05 -5.919e-07 -1.6155e-04 -1.1962e-04 -0.001414 delta_travel -2.374e-05 -7.340e-07 -2.0486e-04 -1.1775e-04 -4.3241e-04 delta_other -1.890e-05 -5.943e-07 -1.6372e-04 -1.1931e-04 -4.2095e-04 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base -0.004673 -3.1582e-04 -0.003217 8.337e-05 6.059e-05 gamma_dropOff -3.351e-05 6.224e-07 -3.722e-06 -1.6397e-04 -8.446e-06 gamma_work -0.007948 3.951e-05 -8.0660e-04 -0.002427 -0.006128 gamma_school -0.001412 -2.337e-06 -1.3465e-04 -4.2164e-04 -4.1256e-04 gamma_shopping -1.518e-05 1.244e-06 -1.929e-06 -4.242e-06 -1.257e-06 gamma_privBusiness -6.417e-05 8.630e-07 -7.608e-06 -1.898e-05 -1.568e-05 gamma_petrol -1.989e-06 2.237e-08 -6.635e-08 -6.099e-07 -5.273e-07 gamma_leisure -5.3918e-04 6.378e-06 -5.718e-05 -1.6426e-04 -1.4319e-04 gamma_vacation -3.9926e-04 -7.070e-07 -1.8792e-04 -1.1965e-04 -1.1982e-04 gamma_exercise -0.001391 1.036e-06 -5.541e-05 -4.2105e-04 -3.9537e-04 gamma_home 0.054067 -2.149e-05 -5.2961e-04 0.016216 0.016390 gamma_travel -2.149e-05 1.1486e-04 -1.165e-06 -1.058e-05 -1.358e-05 gamma_other -5.2961e-04 -1.165e-06 0.241747 -1.5880e-04 -1.4040e-04 delta_dropOff 0.016216 -1.058e-05 -1.5880e-04 0.007808 0.005305 delta_work 0.016390 -1.358e-05 -1.4040e-04 0.005305 0.006338 delta_school 0.016190 -9.571e-06 -1.5861e-04 0.005241 0.005296 delta_shopping 0.016198 -1.200e-05 -1.5876e-04 0.005244 0.005294 delta_privBusiness 0.016207 -1.067e-05 -1.5882e-04 0.005247 0.005300 delta_petrol 0.016194 -9.657e-06 -1.5897e-04 0.005242 0.005298 delta_leisure 0.016259 -1.239e-05 -1.5644e-04 0.005264 0.005314 delta_vacation 0.016190 -9.522e-06 -1.5876e-04 0.005241 0.005297 delta_exercise 0.016245 -1.028e-05 -1.5840e-04 0.005259 0.005314 delta_travel 0.016297 -4.3677e-04 -1.5561e-04 0.005298 0.005370 delta_other 0.016204 -9.571e-06 -6.7301e-04 0.005245 0.005301 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 7.010e-05 7.083e-05 7.963e-05 7.161e-05 6.426e-05 gamma_dropOff -9.641e-06 -1.015e-05 -9.866e-06 -9.723e-06 -9.722e-06 gamma_work -0.002432 -0.002381 -0.002399 -0.002440 -0.002355 gamma_school -0.001313 -4.2058e-04 -4.2148e-04 -4.2205e-04 -4.1728e-04 gamma_shopping -3.669e-06 -1.5923e-04 -4.184e-06 -3.926e-06 -3.849e-06 gamma_privBusiness -1.875e-05 -1.960e-05 -2.2254e-04 -1.875e-05 -1.874e-05 gamma_petrol -5.907e-07 -6.756e-07 -5.961e-07 -3.686e-05 -6.044e-07 gamma_leisure -1.6356e-04 -1.6574e-04 -1.6395e-04 -1.6406e-04 -9.0583e-04 gamma_vacation -1.1959e-04 -1.1933e-04 -1.1942e-04 -1.1960e-04 -1.1571e-04 gamma_exercise -4.2035e-04 -4.1900e-04 -4.1879e-04 -4.2085e-04 -4.1478e-04 gamma_home 0.016190 0.016198 0.016207 0.016194 0.016259 gamma_travel -9.571e-06 -1.200e-05 -1.067e-05 -9.657e-06 -1.239e-05 gamma_other -1.5861e-04 -1.5876e-04 -1.5882e-04 -1.5897e-04 -1.5644e-04 delta_dropOff 0.005241 0.005244 0.005247 0.005242 0.005264 delta_work 0.005296 0.005294 0.005300 0.005298 0.005314 delta_school 0.017000 0.005234 0.005238 0.005233 0.005255 delta_shopping 0.005234 0.006565 0.005241 0.005236 0.005258 delta_privBusiness 0.005238 0.005241 0.007140 0.005239 0.005261 delta_petrol 0.005233 0.005236 0.005239 0.020389 0.005257 delta_leisure 0.005255 0.005258 0.005261 0.005257 0.006474 delta_vacation 0.005232 0.005234 0.005238 0.005233 0.005255 delta_exercise 0.005250 0.005253 0.005256 0.005252 0.005273 delta_travel 0.005283 0.005298 0.005295 0.005285 0.005324 delta_other 0.005236 0.005239 0.005242 0.005238 0.005260 delta_vacation delta_exercise delta_travel delta_other alpha_base 7.079e-05 7.655e-05 -2.2384e-04 7.339e-05 gamma_dropOff -9.693e-06 -9.600e-06 -1.352e-05 -9.678e-06 gamma_work -0.002438 -0.002416 -0.002673 -0.002440 gamma_school -4.2209e-04 -4.1994e-04 -4.1379e-04 -4.2217e-04 gamma_shopping -3.753e-06 -3.546e-06 -1.022e-05 -3.729e-06 gamma_privBusiness -1.877e-05 -1.850e-05 -2.374e-05 -1.890e-05 gamma_petrol -5.952e-07 -5.919e-07 -7.340e-07 -5.943e-07 gamma_leisure -1.6427e-04 -1.6155e-04 -2.0486e-04 -1.6372e-04 gamma_vacation -5.8694e-04 -1.1962e-04 -1.1775e-04 -1.1931e-04 gamma_exercise -4.2077e-04 -0.001414 -4.3241e-04 -4.2095e-04 gamma_home 0.016190 0.016245 0.016297 0.016204 gamma_travel -9.522e-06 -1.028e-05 -4.3677e-04 -9.571e-06 gamma_other -1.5876e-04 -1.5840e-04 -1.5561e-04 -6.7301e-04 delta_dropOff 0.005241 0.005259 0.005298 0.005245 delta_work 0.005297 0.005314 0.005370 0.005301 delta_school 0.005232 0.005250 0.005283 0.005236 delta_shopping 0.005234 0.005253 0.005298 0.005239 delta_privBusiness 0.005238 0.005256 0.005295 0.005242 delta_petrol 0.005233 0.005252 0.005285 0.005238 delta_leisure 0.005255 0.005273 0.005324 0.005260 delta_vacation 0.052852 0.005250 0.005283 0.005236 delta_exercise 0.005250 0.007670 0.005306 0.005255 delta_travel 0.005283 0.005306 0.007432 0.005288 delta_other 0.005236 0.005255 0.005288 0.023100 Robust covariance matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 0.003469 6.7623e-04 -0.003062 -0.005248 1.1455e-04 gamma_dropOff 6.7623e-04 0.006306 -0.002268 -0.004764 1.5046e-04 gamma_work -0.003062 -0.002268 0.093905 0.028274 -7.3884e-04 gamma_school -0.005248 -0.004764 0.028274 0.291350 -6.1499e-04 gamma_shopping 1.1455e-04 1.5046e-04 -7.3884e-04 -6.1499e-04 9.2221e-04 gamma_privBusiness 3.8923e-04 9.230e-05 4.2996e-04 8.4024e-04 1.1979e-04 gamma_petrol 2.9885e-04 2.5026e-04 -7.1540e-04 -0.001920 6.252e-05 gamma_leisure 3.5630e-04 1.6107e-04 0.002383 0.003518 4.2833e-04 gamma_vacation 6.9636e-04 -2.8650e-04 -4.1342e-04 -0.004011 5.8319e-04 gamma_exercise 5.2409e-04 0.001235 -0.010661 0.004196 -1.6695e-04 gamma_home 0.011834 0.008396 -0.021864 -0.033553 0.001353 gamma_travel 3.6930e-04 -1.138e-05 -4.2108e-04 -2.9351e-04 1.237e-05 gamma_other 0.005677 0.003480 -0.010872 0.004623 0.002924 delta_dropOff 0.003597 0.003600 -0.006121 -0.014739 -3.183e-05 delta_work 0.002689 0.002767 -0.013380 -0.012355 5.1148e-04 delta_school 0.003830 0.003306 -0.004096 9.8161e-04 8.4381e-04 delta_shopping 0.003461 0.003162 -0.007251 -0.010790 1.7123e-04 delta_privBusiness 0.003637 0.002865 -0.005561 -0.010467 3.1495e-04 delta_petrol 0.003810 0.003750 -0.008637 -0.015616 2.7662e-04 delta_leisure 0.003103 0.002839 -0.007463 -0.010166 3.8727e-04 delta_vacation 0.003195 0.002654 -0.001619 -0.009794 5.6171e-04 delta_exercise 0.003355 0.002893 -0.006385 -0.009040 2.6194e-04 delta_travel 0.001412 0.002977 -0.006510 -0.009194 3.0422e-04 delta_other 0.005028 0.002811 -0.010473 -0.009340 8.994e-05 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 3.8923e-04 2.9885e-04 3.5630e-04 6.9636e-04 5.2409e-04 gamma_dropOff 9.230e-05 2.5026e-04 1.6107e-04 -2.8650e-04 0.001235 gamma_work 4.2996e-04 -7.1540e-04 0.002383 -4.1342e-04 -0.010661 gamma_school 8.4024e-04 -0.001920 0.003518 -0.004011 0.004196 gamma_shopping 1.1979e-04 6.252e-05 4.2833e-04 5.8319e-04 -1.6695e-04 gamma_privBusiness 0.004423 4.166e-05 -2.1737e-04 0.001491 -0.001308 gamma_petrol 4.166e-05 0.001181 1.2610e-04 3.843e-05 8.6924e-04 gamma_leisure -2.1737e-04 1.2610e-04 0.011196 2.751e-06 -3.8982e-04 gamma_vacation 0.001491 3.843e-05 2.751e-06 0.191067 0.002441 gamma_exercise -0.001308 8.6924e-04 -3.8982e-04 0.002441 0.113222 gamma_home 9.1367e-04 0.002686 0.007042 -0.003858 0.013850 gamma_travel 7.463e-05 -1.265e-05 -1.372e-05 1.9058e-04 1.5848e-04 gamma_other 0.007085 0.001300 7.1688e-04 0.009552 0.001059 delta_dropOff -1.1177e-04 9.0238e-04 0.001541 -0.001792 0.002556 delta_work -6.044e-06 0.001120 0.002177 -0.001157 0.005622 delta_school 9.1903e-04 0.001128 0.002542 -0.008410 0.010346 delta_shopping 6.002e-05 7.2276e-04 0.001463 -0.002252 0.004146 delta_privBusiness 2.1331e-04 8.5725e-04 0.001681 -0.002543 0.003781 delta_petrol 3.7024e-04 0.002465 8.336e-05 -2.0882e-04 0.003596 delta_leisure 4.372e-05 8.3556e-04 7.9589e-04 -0.003393 0.003951 delta_vacation -1.8520e-04 8.1242e-04 7.1852e-04 0.004186 0.005619 delta_exercise 1.3263e-04 7.8840e-04 0.002107 -0.001450 0.007322 delta_travel -1.7388e-04 0.001003 0.001992 -0.003248 0.004861 delta_other 6.4152e-04 0.001329 0.002575 -0.001268 0.003421 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.011834 3.6930e-04 0.005677 0.003597 0.002689 gamma_dropOff 0.008396 -1.138e-05 0.003480 0.003600 0.002767 gamma_work -0.021864 -4.2108e-04 -0.010872 -0.006121 -0.013380 gamma_school -0.033553 -2.9351e-04 0.004623 -0.014739 -0.012355 gamma_shopping 0.001353 1.237e-05 0.002924 -3.183e-05 5.1148e-04 gamma_privBusiness 9.1367e-04 7.463e-05 0.007085 -1.1177e-04 -6.044e-06 gamma_petrol 0.002686 -1.265e-05 0.001300 9.0238e-04 0.001120 gamma_leisure 0.007042 -1.372e-05 7.1688e-04 0.001541 0.002177 gamma_vacation -0.003858 1.9058e-04 0.009552 -0.001792 -0.001157 gamma_exercise 0.013850 1.5848e-04 0.001059 0.002556 0.005622 gamma_home 0.165704 4.6990e-04 0.054116 0.054286 0.050206 gamma_travel 4.6990e-04 1.5054e-04 8.1612e-04 -1.1265e-04 -2.099e-05 gamma_other 0.054116 8.1612e-04 0.641486 0.007238 0.015579 delta_dropOff 0.054286 -1.1265e-04 0.007238 0.024933 0.016913 delta_work 0.050206 -2.099e-05 0.015579 0.016913 0.017970 delta_school 0.061931 -8.222e-05 0.022255 0.020108 0.017636 delta_shopping 0.052558 -6.516e-05 0.014304 0.018579 0.016161 delta_privBusiness 0.053100 -6.407e-05 0.018228 0.018558 0.015999 delta_petrol 0.055776 -1.0674e-04 0.023494 0.020812 0.018405 delta_leisure 0.053315 -5.069e-05 0.013781 0.018414 0.016671 delta_vacation 0.050718 2.4438e-04 0.021509 0.015702 0.014625 delta_exercise 0.053624 -7.508e-05 0.010666 0.018637 0.016484 delta_travel 0.049301 -6.3421e-04 0.011708 0.018522 0.016762 delta_other 0.060628 1.7094e-04 0.024436 0.021817 0.019356 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.003830 0.003461 0.003637 0.003810 0.003103 gamma_dropOff 0.003306 0.003162 0.002865 0.003750 0.002839 gamma_work -0.004096 -0.007251 -0.005561 -0.008637 -0.007463 gamma_school 9.8161e-04 -0.010790 -0.010467 -0.015616 -0.010166 gamma_shopping 8.4381e-04 1.7123e-04 3.1495e-04 2.7662e-04 3.8727e-04 gamma_privBusiness 9.1903e-04 6.002e-05 2.1331e-04 3.7024e-04 4.372e-05 gamma_petrol 0.001128 7.2276e-04 8.5725e-04 0.002465 8.3556e-04 gamma_leisure 0.002542 0.001463 0.001681 8.336e-05 7.9589e-04 gamma_vacation -0.008410 -0.002252 -0.002543 -2.0882e-04 -0.003393 gamma_exercise 0.010346 0.004146 0.003781 0.003596 0.003951 gamma_home 0.061931 0.052558 0.053100 0.055776 0.053315 gamma_travel -8.222e-05 -6.516e-05 -6.407e-05 -1.0674e-04 -5.069e-05 gamma_other 0.022255 0.014304 0.018228 0.023494 0.013781 delta_dropOff 0.020108 0.018579 0.018558 0.020812 0.018414 delta_work 0.017636 0.016161 0.015999 0.018405 0.016671 delta_school 0.054566 0.019307 0.019911 0.020218 0.020501 delta_shopping 0.019307 0.019385 0.017587 0.019521 0.017931 delta_privBusiness 0.019911 0.017587 0.020847 0.018541 0.018150 delta_petrol 0.020218 0.019521 0.018541 0.042677 0.019124 delta_leisure 0.020501 0.017931 0.018150 0.019124 0.019977 delta_vacation 0.019536 0.016248 0.015917 0.016747 0.018386 delta_exercise 0.020910 0.017859 0.017955 0.019169 0.017755 delta_travel 0.019950 0.017449 0.017467 0.019102 0.017873 delta_other 0.021569 0.020324 0.020771 0.023560 0.020283 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.003195 0.003355 0.001412 0.005028 gamma_dropOff 0.002654 0.002893 0.002977 0.002811 gamma_work -0.001619 -0.006385 -0.006510 -0.010473 gamma_school -0.009794 -0.009040 -0.009194 -0.009340 gamma_shopping 5.6171e-04 2.6194e-04 3.0422e-04 8.994e-05 gamma_privBusiness -1.8520e-04 1.3263e-04 -1.7388e-04 6.4152e-04 gamma_petrol 8.1242e-04 7.8840e-04 0.001003 0.001329 gamma_leisure 7.1852e-04 0.002107 0.001992 0.002575 gamma_vacation 0.004186 -0.001450 -0.003248 -0.001268 gamma_exercise 0.005619 0.007322 0.004861 0.003421 gamma_home 0.050718 0.053624 0.049301 0.060628 gamma_travel 2.4438e-04 -7.508e-05 -6.3421e-04 1.7094e-04 gamma_other 0.021509 0.010666 0.011708 0.024436 delta_dropOff 0.015702 0.018637 0.018522 0.021817 delta_work 0.014625 0.016484 0.016762 0.019356 delta_school 0.019536 0.020910 0.019950 0.021569 delta_shopping 0.016248 0.017859 0.017449 0.020324 delta_privBusiness 0.015917 0.017955 0.017467 0.020771 delta_petrol 0.016747 0.019169 0.019102 0.023560 delta_leisure 0.018386 0.017755 0.017873 0.020283 delta_vacation 0.074956 0.015219 0.015759 0.018540 delta_exercise 0.015219 0.024270 0.018120 0.020046 delta_travel 0.015759 0.018120 0.020098 0.019579 delta_other 0.018540 0.020046 0.019579 0.042855 Classical correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.000 -2.7924e-04 -3.2908e-04 -9.789e-05 -3.5939e-04 gamma_dropOff -2.7924e-04 1.000000 -0.002385 -2.2952e-04 5.768e-05 gamma_work -3.2908e-04 -0.002385 1.000000 -0.001491 -0.004345 gamma_school -9.789e-05 -2.2952e-04 -0.001491 1.000000 -2.2448e-04 gamma_shopping -3.5939e-04 5.768e-05 -0.004345 -2.2448e-04 1.000000 gamma_privBusiness -3.1006e-04 -1.0935e-04 -0.003524 -4.5156e-04 1.3127e-04 gamma_petrol -1.0244e-04 -1.053e-05 -2.1469e-04 -3.177e-05 1.948e-05 gamma_leisure -3.5446e-04 -4.3246e-04 -0.011686 -0.001462 -4.4414e-04 gamma_vacation -5.315e-05 7.359e-06 7.482e-05 3.308e-05 -9.231e-05 gamma_exercise -2.4187e-04 -6.3550e-04 -0.009165 -0.001428 -7.9388e-04 gamma_home -3.3853e-04 -0.003206 -0.085636 -0.010393 -0.002437 gamma_travel -4.9641e-04 0.001292 0.009235 -3.7319e-04 0.004334 gamma_other -1.1022e-04 -1.6840e-04 -0.004110 -4.6863e-04 -1.4651e-04 delta_dropOff 1.589e-05 -0.041286 -0.068827 -0.008166 -0.001792 delta_work 1.282e-05 -0.002360 -0.192833 -0.008868 -5.8937e-04 delta_school 9.057e-06 -0.001645 -0.046723 -0.017230 -0.001051 delta_shopping 1.473e-05 -0.002786 -0.073620 -0.008883 -0.073371 delta_privBusiness 1.587e-05 -0.002598 -0.071130 -0.008536 -0.001849 delta_petrol 8.448e-06 -0.001515 -0.042803 -0.005058 -0.001026 delta_leisure 1.345e-05 -0.002688 -0.073314 -0.008875 -0.001786 delta_vacation 5.187e-06 -9.3803e-04 -0.026564 -0.003142 -6.0943e-04 delta_exercise 1.472e-05 -0.002439 -0.069127 -0.008206 -0.001512 delta_travel -4.374e-05 -0.003490 -0.077666 -0.008214 -0.004425 delta_other 8.134e-06 -0.001417 -0.040221 -0.004753 -9.1606e-04 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -3.1006e-04 -1.0244e-04 -3.5446e-04 -5.315e-05 -2.4187e-04 gamma_dropOff -1.0935e-04 -1.053e-05 -4.3246e-04 7.359e-06 -6.3550e-04 gamma_work -0.003524 -2.1469e-04 -0.011686 7.482e-05 -0.009165 gamma_school -4.5156e-04 -3.177e-05 -0.001462 3.308e-05 -0.001428 gamma_shopping 1.3127e-04 1.948e-05 -4.4414e-04 -9.231e-05 -7.9388e-04 gamma_privBusiness 1.000000 -2.015e-05 -8.4371e-04 -4.718e-05 -8.9052e-04 gamma_petrol -2.015e-05 1.00000 -5.123e-05 9.088e-07 -5.412e-05 gamma_leisure -8.4371e-04 -5.123e-05 1.000000 -0.001132 -0.002857 gamma_vacation -4.718e-05 9.088e-07 -0.001132 1.000000 -7.108e-05 gamma_exercise -8.9052e-04 -5.412e-05 -0.002857 -7.108e-05 1.000000 gamma_home -0.005533 -3.3982e-04 -0.021337 -0.002901 -0.022812 gamma_travel 0.001615 8.291e-05 0.005476 -1.1145e-04 3.6868e-04 gamma_other -3.1025e-04 -5.360e-06 -0.001070 -6.4575e-04 -4.2968e-04 delta_dropOff -0.004307 -2.7417e-04 -0.017105 -0.002288 -0.018168 delta_work -0.003950 -2.6313e-04 -0.016550 -0.002543 -0.018935 delta_school -0.002883 -1.7998e-04 -0.011543 -0.001550 -0.012292 delta_shopping -0.004851 -3.3121e-04 -0.018822 -0.002488 -0.019716 delta_privBusiness -0.052806 -2.8023e-04 -0.017853 -0.002388 -0.018896 delta_petrol -0.002633 -0.01026 -0.010572 -0.001415 -0.011237 delta_leisure -0.004670 -2.9837e-04 -0.103589 -0.002430 -0.019654 delta_vacation -0.001637 -1.0284e-04 -0.006575 -0.004314 -0.006978 delta_exercise -0.004235 -2.6847e-04 -0.016974 -0.002308 -0.061575 delta_travel -0.005522 -3.3819e-04 -0.021865 -0.002308 -0.019123 delta_other -0.002494 -1.5532e-04 -0.009912 -0.001326 -0.010560 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base -3.3853e-04 -4.9641e-04 -1.1022e-04 1.589e-05 1.282e-05 gamma_dropOff -0.003206 0.001292 -1.6840e-04 -0.041286 -0.002360 gamma_work -0.085636 0.009235 -0.004110 -0.068827 -0.192833 gamma_school -0.010393 -3.7319e-04 -4.6863e-04 -0.008166 -0.008868 gamma_shopping -0.002437 0.004334 -1.4651e-04 -0.001792 -5.8937e-04 gamma_privBusiness -0.005533 0.001615 -3.1025e-04 -0.004307 -0.003950 gamma_petrol -3.3982e-04 8.291e-05 -5.360e-06 -2.7417e-04 -2.6313e-04 gamma_leisure -0.021337 0.005476 -0.001070 -0.017105 -0.016550 gamma_vacation -0.002901 -1.1145e-04 -6.4575e-04 -0.002288 -0.002543 gamma_exercise -0.022812 3.6868e-04 -4.2968e-04 -0.018168 -0.018935 gamma_home 1.000000 -0.008625 -0.004632 0.789249 0.885376 gamma_travel -0.008625 1.000000 -2.2112e-04 -0.011169 -0.015918 gamma_other -0.004632 -2.2112e-04 1.000000 -0.003655 -0.003587 delta_dropOff 0.789249 -0.011169 -0.003655 1.000000 0.754109 delta_work 0.885376 -0.015918 -0.003587 0.754109 1.000000 delta_school 0.534032 -0.006850 -0.002474 0.454886 0.510246 delta_shopping 0.859744 -0.013817 -0.003985 0.732447 0.820772 delta_privBusiness 0.824878 -0.011780 -0.003823 0.702708 0.787785 delta_petrol 0.487731 -0.006310 -0.002264 0.415476 0.466074 delta_leisure 0.869068 -0.014368 -0.003954 0.740420 0.829610 delta_vacation 0.302867 -0.003865 -0.001405 0.257991 0.289408 delta_exercise 0.797751 -0.010951 -0.003679 0.679643 0.762205 delta_travel 0.812996 -0.472716 -0.003671 0.695471 0.782362 delta_other 0.458505 -0.005876 -0.009006 0.390573 0.438146 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 9.057e-06 1.473e-05 1.587e-05 8.448e-06 1.345e-05 gamma_dropOff -0.001645 -0.002786 -0.002598 -0.001515 -0.002688 gamma_work -0.046723 -0.073620 -0.071130 -0.042803 -0.073314 gamma_school -0.017230 -0.008883 -0.008536 -0.005058 -0.008875 gamma_shopping -0.001051 -0.073371 -0.001849 -0.001026 -0.001786 gamma_privBusiness -0.002883 -0.004851 -0.052806 -0.002633 -0.004670 gamma_petrol -1.7998e-04 -3.3121e-04 -2.8023e-04 -0.010256 -2.9837e-04 gamma_leisure -0.011543 -0.018822 -0.017853 -0.010572 -0.103589 gamma_vacation -0.001550 -0.002488 -0.002388 -0.001415 -0.002430 gamma_exercise -0.012292 -0.019716 -0.018896 -0.011237 -0.019654 gamma_home 0.534032 0.859744 0.824878 0.487731 0.869068 gamma_travel -0.006850 -0.013817 -0.011780 -0.006310 -0.014368 gamma_other -0.002474 -0.003985 -0.003823 -0.002264 -0.003954 delta_dropOff 0.454886 0.732447 0.702708 0.415476 0.740420 delta_work 0.510246 0.820772 0.787785 0.466074 0.829610 delta_school 1.000000 0.495432 0.475406 0.281082 0.500934 delta_shopping 0.495432 1.000000 0.765443 0.452556 0.806529 delta_privBusiness 0.475406 0.765443 1.000000 0.434200 0.773808 delta_petrol 0.281082 0.452556 0.434200 1.000000 0.457525 delta_leisure 0.500934 0.806529 0.773808 0.457525 1.000000 delta_vacation 0.174542 0.280996 0.269621 0.159415 0.284115 delta_exercise 0.459825 0.740213 0.710244 0.419969 0.748336 delta_travel 0.470016 0.758498 0.726860 0.429327 0.767497 delta_other 0.264242 0.425395 0.408194 0.241340 0.430105 delta_vacation delta_exercise delta_travel delta_other alpha_base 5.187e-06 1.472e-05 -4.374e-05 8.134e-06 gamma_dropOff -9.3803e-04 -0.002439 -0.003490 -0.001417 gamma_work -0.026564 -0.069127 -0.077666 -0.040221 gamma_school -0.003142 -0.008206 -0.008214 -0.004753 gamma_shopping -6.0943e-04 -0.001512 -0.004425 -9.1606e-04 gamma_privBusiness -0.001637 -0.004235 -0.005522 -0.002494 gamma_petrol -1.0284e-04 -2.6847e-04 -3.3819e-04 -1.5532e-04 gamma_leisure -0.006575 -0.016974 -0.021865 -0.009912 gamma_vacation -0.004314 -0.002308 -0.002308 -0.001326 gamma_exercise -0.006978 -0.061575 -0.019123 -0.010560 gamma_home 0.302867 0.797751 0.812996 0.458505 gamma_travel -0.003865 -0.010951 -0.472716 -0.005876 gamma_other -0.001405 -0.003679 -0.003671 -0.009006 delta_dropOff 0.257991 0.679643 0.695471 0.390573 delta_work 0.289408 0.762205 0.782362 0.438146 delta_school 0.174542 0.459825 0.470016 0.264242 delta_shopping 0.280996 0.740213 0.758498 0.425395 delta_privBusiness 0.269621 0.710244 0.726860 0.408194 delta_petrol 0.159415 0.419969 0.429327 0.241340 delta_leisure 0.284115 0.748336 0.767497 0.430105 delta_vacation 1.000000 0.260785 0.266576 0.149865 delta_exercise 0.260785 1.000000 0.702777 0.394804 delta_travel 0.266576 0.702777 1.000000 0.403582 delta_other 0.149865 0.394804 0.403582 1.000000 Robust correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.00000 0.144568 -0.169619 -0.165064 0.064038 gamma_dropOff 0.14457 1.000000 -0.093179 -0.111142 0.062391 gamma_work -0.16962 -0.093179 1.000000 0.170937 -0.079395 gamma_school -0.16506 -0.111142 0.170937 1.000000 -0.037519 gamma_shopping 0.06404 0.062391 -0.079395 -0.037519 1.000000 gamma_privBusiness 0.09936 0.017478 0.021098 0.023407 0.059316 gamma_petrol 0.14761 0.091682 -0.067919 -0.103491 0.059890 gamma_leisure 0.05717 0.019169 0.073478 0.061599 0.133297 gamma_vacation 0.02705 -0.008253 -0.003086 -0.016999 0.043934 gamma_exercise 0.02644 0.046205 -0.103391 0.023101 -0.016338 gamma_home 0.49355 0.259727 -0.175277 -0.152708 0.109428 gamma_travel 0.51100 -0.011676 -0.111993 -0.044319 0.033198 gamma_other 0.12034 0.054720 -0.044295 0.010694 0.120200 delta_dropOff 0.38679 0.287075 -0.126505 -0.172933 -0.006637 delta_work 0.34050 0.259948 -0.325719 -0.170754 0.125645 delta_school 0.27838 0.178218 -0.057224 0.007785 0.118952 delta_shopping 0.42198 0.285944 -0.169943 -0.143579 0.040498 delta_privBusiness 0.42760 0.249834 -0.125689 -0.134302 0.071829 delta_petrol 0.31314 0.228576 -0.136434 -0.140049 0.044094 delta_leisure 0.37278 0.252964 -0.172303 -0.133253 0.090226 delta_vacation 0.19813 0.122071 -0.019299 -0.066274 0.067561 delta_exercise 0.36567 0.233828 -0.133753 -0.107500 0.055367 delta_travel 0.16905 0.264457 -0.149842 -0.120144 0.070665 delta_other 0.41239 0.170963 -0.165094 -0.083591 0.014307 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 0.099363 0.147609 0.057168 0.027047 0.026443 gamma_dropOff 0.017478 0.091682 0.019169 -0.008253 0.046205 gamma_work 0.021098 -0.067919 0.073478 -0.003086 -0.103391 gamma_school 0.023407 -0.103491 0.061599 -0.016999 0.023101 gamma_shopping 0.059316 0.059890 0.133297 0.043934 -0.016338 gamma_privBusiness 1.000000 0.018226 -0.030889 0.051280 -0.058457 gamma_petrol 0.018226 1.000000 0.034671 0.002558 0.075155 gamma_leisure -0.030889 0.034671 1.000000 5.947e-05 -0.010949 gamma_vacation 0.051280 0.002558 5.947e-05 1.000000 0.016596 gamma_exercise -0.058457 0.075155 -0.010949 0.016596 1.000000 gamma_home 0.033750 0.191941 0.163488 -0.021682 0.101116 gamma_travel 0.091459 -0.029987 -0.010568 0.035534 0.038387 gamma_other 0.133008 0.047232 0.008459 0.027284 0.003929 delta_dropOff -0.010644 0.166261 0.092249 -0.025965 0.048114 delta_work -6.7801e-04 0.243072 0.153471 -0.019753 0.124632 delta_school 0.059159 0.140451 0.102836 -0.082368 0.131623 delta_shopping 0.006482 0.151024 0.099328 -0.037007 0.088507 delta_privBusiness 0.022215 0.172729 0.110022 -0.040285 0.077829 delta_petrol 0.026949 0.347109 0.003814 -0.002312 0.051735 delta_leisure 0.004652 0.171986 0.053216 -0.054918 0.083071 delta_vacation -0.010172 0.086330 0.024803 0.034982 0.060990 delta_exercise 0.012801 0.147230 0.127831 -0.021299 0.139677 delta_travel -0.018443 0.205830 0.132793 -0.052412 0.101905 delta_other 0.046598 0.186729 0.117532 -0.014013 0.049106 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.49355 0.51100 0.120341 0.386794 0.34050 gamma_dropOff 0.25973 -0.01168 0.054720 0.287075 0.25995 gamma_work -0.17528 -0.11199 -0.044295 -0.126505 -0.32572 gamma_school -0.15271 -0.04432 0.010694 -0.172933 -0.17075 gamma_shopping 0.10943 0.03320 0.120200 -0.006637 0.12565 gamma_privBusiness 0.03375 0.09146 0.133008 -0.010644 -6.7801e-04 gamma_petrol 0.19194 -0.02999 0.047232 0.166261 0.24307 gamma_leisure 0.16349 -0.01057 0.008459 0.092249 0.15347 gamma_vacation -0.02168 0.03553 0.027284 -0.025965 -0.01975 gamma_exercise 0.10112 0.03839 0.003929 0.048114 0.12463 gamma_home 1.00000 0.09408 0.165983 0.844570 0.92007 gamma_travel 0.09408 1.00000 0.083048 -0.058143 -0.01276 gamma_other 0.16598 0.08305 1.000000 0.057230 0.14510 delta_dropOff 0.84457 -0.05814 0.057230 1.000000 0.79905 delta_work 0.92007 -0.01276 0.145103 0.799050 1.00000 delta_school 0.65130 -0.02869 0.118950 0.545160 0.56321 delta_shopping 0.92733 -0.03815 0.128270 0.845105 0.86589 delta_privBusiness 0.90345 -0.03617 0.157620 0.813984 0.82662 delta_petrol 0.66326 -0.04211 0.141991 0.638011 0.66463 delta_leisure 0.92665 -0.02923 0.121733 0.825092 0.87991 delta_vacation 0.45508 0.07275 0.098090 0.363226 0.39851 delta_exercise 0.84559 -0.03928 0.085483 0.757612 0.78932 delta_travel 0.85430 -0.36461 0.103113 0.827429 0.88202 delta_other 0.71946 0.06730 0.147381 0.667450 0.69749 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.278376 0.421983 0.42760 0.313140 0.372777 gamma_dropOff 0.178218 0.285944 0.24983 0.228576 0.252964 gamma_work -0.057224 -0.169943 -0.12569 -0.136434 -0.172303 gamma_school 0.007785 -0.143579 -0.13430 -0.140049 -0.133253 gamma_shopping 0.118952 0.040498 0.07183 0.044094 0.090226 gamma_privBusiness 0.059159 0.006482 0.02221 0.026949 0.004652 gamma_petrol 0.140451 0.151024 0.17273 0.347109 0.171986 gamma_leisure 0.102836 0.099328 0.11002 0.003814 0.053216 gamma_vacation -0.082368 -0.037007 -0.04028 -0.002312 -0.054918 gamma_exercise 0.131623 0.088507 0.07783 0.051735 0.083071 gamma_home 0.651297 0.927333 0.90345 0.663264 0.926650 gamma_travel -0.028688 -0.038145 -0.03617 -0.042110 -0.029230 gamma_other 0.118950 0.128270 0.15762 0.141991 0.121733 delta_dropOff 0.545160 0.845105 0.81398 0.638011 0.825092 delta_work 0.563212 0.865895 0.82662 0.664633 0.879906 delta_school 1.000000 0.593643 0.59036 0.418969 0.620942 delta_shopping 0.593643 1.000000 0.87487 0.678708 0.911202 delta_privBusiness 0.590361 0.874867 1.00000 0.621592 0.889351 delta_petrol 0.418969 0.678708 0.62159 1.000000 0.654955 delta_leisure 0.620942 0.911202 0.88935 0.654955 1.000000 delta_vacation 0.305470 0.426245 0.40265 0.296093 0.475129 delta_exercise 0.574586 0.823346 0.79824 0.595619 0.806349 delta_travel 0.602414 0.884005 0.85333 0.652245 0.891984 delta_other 0.446028 0.705144 0.69490 0.550902 0.693213 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.19813 0.36567 0.16905 0.41239 gamma_dropOff 0.12207 0.23383 0.26446 0.17096 gamma_work -0.01930 -0.13375 -0.14984 -0.16509 gamma_school -0.06627 -0.10750 -0.12014 -0.08359 gamma_shopping 0.06756 0.05537 0.07066 0.01431 gamma_privBusiness -0.01017 0.01280 -0.01844 0.04660 gamma_petrol 0.08633 0.14723 0.20583 0.18673 gamma_leisure 0.02480 0.12783 0.13279 0.11753 gamma_vacation 0.03498 -0.02130 -0.05241 -0.01401 gamma_exercise 0.06099 0.13968 0.10190 0.04911 gamma_home 0.45508 0.84559 0.85430 0.71946 gamma_travel 0.07275 -0.03928 -0.36461 0.06730 gamma_other 0.09809 0.08548 0.10311 0.14738 delta_dropOff 0.36323 0.75761 0.82743 0.66745 delta_work 0.39851 0.78932 0.88202 0.69749 delta_school 0.30547 0.57459 0.60241 0.44603 delta_shopping 0.42625 0.82335 0.88400 0.70514 delta_privBusiness 0.40265 0.79824 0.85333 0.69490 delta_petrol 0.29609 0.59562 0.65225 0.55090 delta_leisure 0.47513 0.80635 0.89198 0.69321 delta_vacation 1.00000 0.35681 0.40602 0.32713 delta_exercise 0.35681 1.00000 0.82045 0.62156 delta_travel 0.40602 0.82045 1.00000 0.66715 delta_other 0.32713 0.62156 0.66715 1.00000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 1.787464e-09 7652039 4.106712e-08 6292582 4.389701e-08 1226238 6.552427e-08 6873173 1.040653e-07 2684804 1.497529e-07 2191235 2.442490e-07 3051038 2.605913e-07 8530000 2.829211e-07 2146576 3.516948e-07 5804392 4.033935e-07 9216479 4.701241e-07 4376416 6.485388e-07 1482825 8.088719e-07 9902059 9.757512e-07 9545640 9.938703e-07 7177352 1.138465e-06 1496531 1.202534e-06 6526613 1.205575e-06 8465193 1.219906e-06 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -15.22600 -15.22600 gamma_dropOff 1.000 0.45378 -0.54622 gamma_work 1.000 6.91964 5.91964 gamma_school 1.000 3.13250 2.13250 gamma_shopping 1.000 0.42558 -0.57442 gamma_privBusiness 1.000 0.61734 -0.38266 gamma_petrol 1.000 0.11693 -0.88307 gamma_leisure 1.000 1.82730 0.82730 gamma_vacation 1.000 1.55785 0.55785 gamma_exercise 1.000 2.87580 1.87580 gamma_home 1.000 2.66401 1.66401 gamma_travel 1.000 0.20166 -0.79834 gamma_other 1.000 1.66063 0.66063 delta_dropOff 0.000 -3.57837 -3.57837 delta_work 0.000 -2.35206 -2.35206 delta_school 0.000 -5.19985 -5.19985 delta_shopping 0.000 -2.76150 -2.76150 delta_privBusiness 0.000 -3.23578 -3.23578 delta_petrol 0.000 -5.45227 -5.45227 delta_leisure 0.000 -2.62775 -2.62775 delta_vacation 0.000 -6.60975 -6.60975 delta_exercise 0.000 -3.52952 -3.52952 delta_home 0.000 0.00000 0.00000 delta_travel 0.000 -0.07435 -0.07435 delta_other 0.000 -5.62277 -5.62277 sig 1.000 1.00000 0.00000 Settings and functions used in model definition: apollo_control -------------- Value modelName "MDCEV_no_outside_good" modelDescr "MDCEV model on time use data, alpha-gamma profile, no outside good and constants only in utilities" indivID "indivID" outputDirectory "output/" debug "FALSE" nCores "1" 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 15.22597980 gamma_dropOff 0.45377660 gamma_work 6.91962182 gamma_school 3.13251246 gamma_shopping 0.42558108 gamma_privBusiness 0.61733984 gamma_petrol 0.11692773 gamma_leisure 1.82729903 gamma_vacation 1.55784759 gamma_exercise 2.87579529 gamma_home 2.66401273 gamma_travel 0.20166313 gamma_other 1.66063224 delta_dropOff 3.57835373 delta_work 2.35206021 delta_school 5.19984382 delta_shopping 2.76150018 delta_privBusiness 3.23577012 delta_petrol 5.45225994 delta_leisure 2.62775223 delta_vacation 6.60975025 delta_exercise 3.52953167 delta_travel 0.07434941 delta_other 5.62275677 Scaling used in computing Hessian --------------------------------- Value alpha_base 15.2260009 gamma_dropOff 0.4537768 gamma_work 6.9196353 gamma_school 3.1325024 gamma_shopping 0.4255811 gamma_privBusiness 0.6173397 gamma_petrol 0.1169277 gamma_leisure 1.8272980 gamma_vacation 1.5578459 gamma_exercise 2.8757960 gamma_home 2.6640119 gamma_travel 0.2016634 gamma_other 1.6606341 delta_dropOff 3.5783654 delta_work 2.3520606 delta_school 5.1998506 delta_shopping 2.7615009 delta_privBusiness 3.2357755 delta_petrol 5.4522708 delta_leisure 2.6277544 delta_vacation 6.6097498 delta_exercise 3.5295244 delta_travel 0.0743494 delta_other 5.6227750 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("dropOff", "work", "school", "shopping", "privBusiness", "petrol", "leisure", "vacation", "exercise", "home", "travel", "other") ### Define availabilities avail = list(dropOff = 1, work = 1, school = 1, shopping = 1, privBusiness = 1, petrol = 1, leisure = 1, vacation = 1, exercise = 1, home = 1, travel = 1, other = 1) ### Define continuous consumption for individual alternatives continuousChoice = list(dropOff = t_a01/60, work = t_a02/60, school = t_a03/60, shopping = t_a04/60, privBusiness = t_a05/60, petrol = t_a06/60, leisure = t_a07/60, vacation = t_a08/60, exercise = t_a09/60, home = t_a10/60, travel = t_a11/60, other = t_a12/60) ### Define utilities for individual alternatives V = list() V[["dropOff" ]] = delta_dropOff V[["work" ]] = delta_work V[["school" ]] = delta_school V[["shopping"]] = delta_shopping V[["privBusiness"]] = delta_privBusiness V[["petrol" ]] = delta_petrol V[["leisure" ]] = delta_leisure V[["vacation"]] = delta_vacation V[["exercise"]] = delta_exercise V[["home" ]] = delta_home V[["travel" ]] = delta_travel V[["other" ]] = delta_other ### Define alpha parameters alpha = list(dropOff = 1 /(1 + exp(-alpha_base)), work = 1 /(1 + exp(-alpha_base)), school = 1 /(1 + exp(-alpha_base)), shopping = 1 /(1 + exp(-alpha_base)), privBusiness = 1 /(1 + exp(-alpha_base)), petrol = 1 /(1 + exp(-alpha_base)), leisure = 1 /(1 + exp(-alpha_base)), vacation = 1 /(1 + exp(-alpha_base)), exercise = 1 /(1 + exp(-alpha_base)), home = 1 /(1 + exp(-alpha_base)), travel = 1 /(1 + exp(-alpha_base)), other = 1 /(1 + exp(-alpha_base))) ### Define gamma parameters gamma = list(dropOff = gamma_dropOff, work = gamma_work, school = gamma_school, shopping = gamma_shopping, privBusiness = gamma_privBusiness, petrol = gamma_petrol, leisure = gamma_leisure, vacation = gamma_vacation, exercise = gamma_exercise, home = gamma_home, travel = gamma_travel, other = gamma_other) ### Define costs for individual alternatives cost = list(dropOff = 1, work = 1, school = 1, shopping = 1, privBusiness = 1, petrol = 1, leisure = 1, vacation = 1, exercise = 1, home = 1, travel = 1, other = 1) ### Define settings for MDCEV model mdcev_settings <- list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, utilities = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = 24) ### Compute probabilities using MDCEV model P[["model"]] = apollo_mdcev(mdcev_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) }