Model run by stephane.hess using Apollo 0.2.7 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 : 2022-01-07 20:20:29 Estimation method : bfgs Model diagnosis : successful convergence 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(0) : Not applicable LL(C) : Not applicable LL(final) : -24018.62 Rho-square (0) : Not applicable Adj.Rho-square (0) : Not applicable AIC : 48085.24 BIC : 48227.96 Estimated parameters : 24 Time taken (hh:mm:ss) : 00:00:25 pre-estimation : 00:00:0.28 estimation : 00:00:15.75 post-estimation : 00:00:8.97 Iterations : 91 Min abs eigenvalue of Hessian : 0.000487 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -14.68670 45.33382 -0.3240 0.05890 -249.3373 gamma_dropOff 0.45377 0.04495 10.0954 0.07941 5.7142 gamma_work 6.91952 0.39914 17.3361 0.30643 22.5813 gamma_school 3.12856 0.58316 5.3649 0.53842 5.8107 gamma_shopping 0.42558 0.02678 15.8890 0.03037 14.0142 gamma_privBusiness 0.61734 0.04987 12.3782 0.06650 9.2827 gamma_petrol 0.11693 0.02517 4.6448 0.03437 3.4017 gamma_leisure 1.82732 0.10868 16.8137 0.10582 17.2689 gamma_vacation 1.55884 0.59247 2.6311 0.43768 3.5616 gamma_exercise 2.87579 0.26228 10.9646 0.33648 8.5466 gamma_home 2.66404 0.23252 11.4571 0.40706 6.5445 gamma_travel 0.20166 0.01072 18.8168 0.01227 16.4361 gamma_other 1.66111 0.49189 3.3770 0.80138 2.0728 delta_dropOff -3.57836 0.08836 -40.4975 0.15790 -22.6624 delta_work -2.35205 0.07961 -29.5443 0.13405 -17.5463 delta_school -5.19983 0.13038 -39.8815 0.23359 -22.2604 delta_shopping -2.76149 0.08103 -34.0817 0.13923 -19.8344 delta_privBusiness -3.23577 0.08450 -38.2937 0.14438 -22.4108 delta_petrol -5.45225 0.14279 -38.1840 0.20658 -26.3929 delta_leisure -2.62775 0.08046 -32.6586 0.14134 -18.5918 delta_vacation -6.60975 0.22990 -28.7510 0.27378 -24.1424 delta_exercise -3.52951 0.08758 -40.3025 0.15579 -22.6561 delta_home 0.00000 NA NA NA NA delta_travel -0.07434 0.08621 -0.8623 0.14177 -0.5244 delta_other -5.62274 0.15198 -36.9957 0.20701 -27.1618 sig 1.00000 NA NA NA NA Overview of choices for MDCEV 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 2055.155116 -7.4514e-04 -0.007798 -0.003389 -5.7148e-04 gamma_dropOff -7.4514e-04 0.002020 -4.279e-05 -6.005e-06 6.953e-08 gamma_work -0.007798 -4.279e-05 0.159311 -3.4634e-04 -4.645e-05 gamma_school -0.003389 -6.005e-06 -3.4634e-04 0.340071 -3.500e-06 gamma_shopping -5.7148e-04 6.953e-08 -4.645e-05 -3.500e-06 7.1741e-04 gamma_privBusiness -9.1802e-04 -2.450e-07 -7.014e-05 -1.311e-05 1.755e-07 gamma_petrol -1.5312e-04 -1.189e-08 -2.157e-06 -4.655e-07 1.315e-08 gamma_leisure -0.002287 -2.112e-06 -5.0692e-04 -9.247e-05 -1.293e-06 gamma_vacation -0.001871 1.965e-07 1.772e-05 1.142e-05 -1.466e-06 gamma_exercise -0.003766 -7.491e-06 -9.5946e-04 -2.1808e-04 -5.577e-06 gamma_home -0.004672 -3.351e-05 -0.007948 -0.001407 -1.518e-05 gamma_travel -3.1586e-04 6.224e-07 3.951e-05 -2.327e-06 1.244e-06 gamma_other -0.003218 -3.724e-06 -8.0724e-04 -1.3424e-04 -1.931e-06 delta_dropOff 8.367e-05 -1.6397e-04 -0.002427 -4.2001e-04 -4.242e-06 delta_work 6.089e-05 -8.446e-06 -0.006127 -4.1096e-04 -1.257e-06 delta_school 7.040e-05 -9.641e-06 -0.002431 -0.001309 -3.669e-06 delta_shopping 7.113e-05 -1.015e-05 -0.002381 -4.1894e-04 -1.5923e-04 delta_privBusiness 7.993e-05 -9.866e-06 -0.002399 -4.1985e-04 -4.185e-06 delta_petrol 7.191e-05 -9.723e-06 -0.002439 -4.2041e-04 -3.926e-06 delta_leisure 6.456e-05 -9.721e-06 -0.002354 -4.1566e-04 -3.849e-06 delta_vacation 7.106e-05 -9.693e-06 -0.002437 -4.2045e-04 -3.753e-06 delta_exercise 7.685e-05 -9.599e-06 -0.002416 -4.1831e-04 -3.546e-06 delta_travel -2.2342e-04 -1.352e-05 -0.002672 -4.1219e-04 -1.022e-05 delta_other 7.368e-05 -9.678e-06 -0.002440 -4.2053e-04 -3.729e-06 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -9.1802e-04 -1.5312e-04 -0.002287 -0.001871 -0.003766 gamma_dropOff -2.450e-07 -1.189e-08 -2.112e-06 1.965e-07 -7.491e-06 gamma_work -7.014e-05 -2.157e-06 -5.0692e-04 1.772e-05 -9.5946e-04 gamma_school -1.311e-05 -4.655e-07 -9.247e-05 1.142e-05 -2.1808e-04 gamma_shopping 1.755e-07 1.315e-08 -1.293e-06 -1.466e-06 -5.577e-06 gamma_privBusiness 0.002487 -2.528e-08 -4.573e-06 -1.395e-06 -1.165e-05 gamma_petrol -2.528e-08 6.3376e-04 -1.401e-07 1.361e-08 -3.573e-07 gamma_leisure -4.573e-06 -1.401e-07 0.011812 -7.296e-05 -8.144e-05 gamma_vacation -1.395e-06 1.361e-08 -7.296e-05 0.351021 -1.105e-05 gamma_exercise -1.165e-05 -3.573e-07 -8.144e-05 -1.105e-05 0.068791 gamma_home -6.417e-05 -1.989e-06 -5.3921e-04 -4.0004e-04 -0.001391 gamma_travel 8.631e-07 2.238e-08 6.378e-06 -7.083e-07 1.037e-06 gamma_other -7.614e-06 -6.632e-08 -5.723e-05 -1.8845e-04 -5.546e-05 delta_dropOff -1.898e-05 -6.099e-07 -1.6426e-04 -1.1988e-04 -4.2105e-04 delta_work -1.568e-05 -5.274e-07 -1.4320e-04 -1.2006e-04 -3.9537e-04 delta_school -1.875e-05 -5.908e-07 -1.6357e-04 -1.1982e-04 -4.2035e-04 delta_shopping -1.960e-05 -6.756e-07 -1.6575e-04 -1.1956e-04 -4.1900e-04 delta_privBusiness -2.2254e-04 -5.961e-07 -1.6396e-04 -1.1966e-04 -4.1879e-04 delta_petrol -1.875e-05 -3.687e-05 -1.6407e-04 -1.1984e-04 -4.2085e-04 delta_leisure -1.874e-05 -6.044e-07 -9.0586e-04 -1.1593e-04 -4.1478e-04 delta_vacation -1.877e-05 -5.953e-07 -1.6428e-04 -5.8781e-04 -4.2077e-04 delta_exercise -1.850e-05 -5.919e-07 -1.6156e-04 -1.1985e-04 -0.001414 delta_travel -2.374e-05 -7.340e-07 -2.0487e-04 -1.1798e-04 -4.3241e-04 delta_other -1.890e-05 -5.943e-07 -1.6373e-04 -1.1954e-04 -4.2095e-04 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base -0.004672 -3.1586e-04 -0.003218 8.367e-05 6.089e-05 gamma_dropOff -3.351e-05 6.224e-07 -3.724e-06 -1.6397e-04 -8.446e-06 gamma_work -0.007948 3.951e-05 -8.0724e-04 -0.002427 -0.006127 gamma_school -0.001407 -2.327e-06 -1.3424e-04 -4.2001e-04 -4.1096e-04 gamma_shopping -1.518e-05 1.244e-06 -1.931e-06 -4.242e-06 -1.257e-06 gamma_privBusiness -6.417e-05 8.631e-07 -7.614e-06 -1.898e-05 -1.568e-05 gamma_petrol -1.989e-06 2.238e-08 -6.632e-08 -6.099e-07 -5.274e-07 gamma_leisure -5.3921e-04 6.378e-06 -5.723e-05 -1.6426e-04 -1.4320e-04 gamma_vacation -4.0004e-04 -7.083e-07 -1.8845e-04 -1.1988e-04 -1.2006e-04 gamma_exercise -0.001391 1.037e-06 -5.546e-05 -4.2105e-04 -3.9537e-04 gamma_home 0.054067 -2.149e-05 -5.3006e-04 0.016216 0.016389 gamma_travel -2.149e-05 1.1486e-04 -1.166e-06 -1.058e-05 -1.358e-05 gamma_other -5.3006e-04 -1.166e-06 0.241960 -1.5894e-04 -1.4051e-04 delta_dropOff 0.016216 -1.058e-05 -1.5894e-04 0.007807 0.005305 delta_work 0.016389 -1.358e-05 -1.4051e-04 0.005305 0.006338 delta_school 0.016190 -9.571e-06 -1.5874e-04 0.005241 0.005296 delta_shopping 0.016198 -1.200e-05 -1.5889e-04 0.005244 0.005294 delta_privBusiness 0.016207 -1.067e-05 -1.5895e-04 0.005247 0.005299 delta_petrol 0.016193 -9.657e-06 -1.5911e-04 0.005242 0.005298 delta_leisure 0.016259 -1.239e-05 -1.5657e-04 0.005264 0.005314 delta_vacation 0.016190 -9.522e-06 -1.5890e-04 0.005241 0.005297 delta_exercise 0.016245 -1.028e-05 -1.5853e-04 0.005259 0.005314 delta_travel 0.016297 -4.3677e-04 -1.5574e-04 0.005298 0.005370 delta_other 0.016203 -9.571e-06 -6.7344e-04 0.005245 0.005301 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 7.040e-05 7.113e-05 7.993e-05 7.191e-05 6.456e-05 gamma_dropOff -9.641e-06 -1.015e-05 -9.866e-06 -9.723e-06 -9.721e-06 gamma_work -0.002431 -0.002381 -0.002399 -0.002439 -0.002354 gamma_school -0.001309 -4.1894e-04 -4.1985e-04 -4.2041e-04 -4.1566e-04 gamma_shopping -3.669e-06 -1.5923e-04 -4.185e-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 -5.908e-07 -6.756e-07 -5.961e-07 -3.687e-05 -6.044e-07 gamma_leisure -1.6357e-04 -1.6575e-04 -1.6396e-04 -1.6407e-04 -9.0586e-04 gamma_vacation -1.1982e-04 -1.1956e-04 -1.1966e-04 -1.1984e-04 -1.1593e-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 0.016193 0.016259 gamma_travel -9.571e-06 -1.200e-05 -1.067e-05 -9.657e-06 -1.239e-05 gamma_other -1.5874e-04 -1.5889e-04 -1.5895e-04 -1.5911e-04 -1.5657e-04 delta_dropOff 0.005241 0.005244 0.005247 0.005242 0.005264 delta_work 0.005296 0.005294 0.005299 0.005298 0.005314 delta_school 0.016999 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 0.005256 delta_leisure 0.005255 0.005258 0.005261 0.005256 0.006474 delta_vacation 0.005232 0.005234 0.005238 0.005233 0.005255 delta_exercise 0.005250 0.005252 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 0.005237 0.005260 delta_vacation delta_exercise delta_travel delta_other alpha_base 7.106e-05 7.685e-05 -2.2342e-04 7.368e-05 gamma_dropOff -9.693e-06 -9.599e-06 -1.352e-05 -9.678e-06 gamma_work -0.002437 -0.002416 -0.002672 -0.002440 gamma_school -4.2045e-04 -4.1831e-04 -4.1219e-04 -4.2053e-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 -5.953e-07 -5.919e-07 -7.340e-07 -5.943e-07 gamma_leisure -1.6428e-04 -1.6156e-04 -2.0487e-04 -1.6373e-04 gamma_vacation -5.8781e-04 -1.1985e-04 -1.1798e-04 -1.1954e-04 gamma_exercise -4.2077e-04 -0.001414 -4.3241e-04 -4.2095e-04 gamma_home 0.016190 0.016245 0.016297 0.016203 gamma_travel -9.522e-06 -1.028e-05 -4.3677e-04 -9.571e-06 gamma_other -1.5890e-04 -1.5853e-04 -1.5574e-04 -6.7344e-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 0.005252 0.005298 0.005239 delta_privBusiness 0.005238 0.005256 0.005295 0.005242 delta_petrol 0.005233 0.005252 0.005285 0.005237 delta_leisure 0.005255 0.005273 0.005324 0.005260 delta_vacation 0.052852 0.005250 0.005283 0.005236 delta_exercise 0.005250 0.007669 0.005306 0.005255 delta_travel 0.005283 0.005306 0.007432 0.005288 delta_other 0.005236 0.005255 0.005288 0.023099 Robust covariance matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 0.003470 6.7630e-04 -0.003062 -0.005233 1.1454e-04 gamma_dropOff 6.7630e-04 0.006306 -0.002267 -0.004751 1.5046e-04 gamma_work -0.003062 -0.002267 0.093897 0.028215 -7.3880e-04 gamma_school -0.005233 -0.004751 0.028215 0.289893 -6.1156e-04 gamma_shopping 1.1454e-04 1.5046e-04 -7.3880e-04 -6.1156e-04 9.2221e-04 gamma_privBusiness 3.8919e-04 9.230e-05 4.2990e-04 8.3979e-04 1.1979e-04 gamma_petrol 2.9886e-04 2.5027e-04 -7.1539e-04 -0.001915 6.252e-05 gamma_leisure 3.5649e-04 1.6107e-04 0.002383 0.003510 4.2834e-04 gamma_vacation 6.9703e-04 -2.8647e-04 -4.2053e-04 -0.004033 5.8380e-04 gamma_exercise 5.2407e-04 0.001235 -0.010660 0.004204 -1.6695e-04 gamma_home 0.011836 0.008396 -0.021863 -0.033439 0.001353 gamma_travel 3.6926e-04 -1.138e-05 -4.2108e-04 -2.9323e-04 1.237e-05 gamma_other 0.005679 0.003482 -0.010878 0.004637 0.002925 delta_dropOff 0.003598 0.003600 -0.006121 -0.014696 -3.184e-05 delta_work 0.002689 0.002767 -0.013379 -0.012321 5.1147e-04 delta_school 0.003831 0.003306 -0.004096 0.001109 8.4380e-04 delta_shopping 0.003462 0.003161 -0.007250 -0.010757 1.7122e-04 delta_privBusiness 0.003637 0.002865 -0.005561 -0.010433 3.1493e-04 delta_petrol 0.003811 0.003750 -0.008636 -0.015574 2.7661e-04 delta_leisure 0.003104 0.002839 -0.007462 -0.010131 3.8726e-04 delta_vacation 0.003196 0.002654 -0.001619 -0.009758 5.6170e-04 delta_exercise 0.003356 0.002893 -0.006385 -0.009007 2.6193e-04 delta_travel 0.001413 0.002977 -0.006509 -0.009160 3.0421e-04 delta_other 0.005029 0.002810 -0.010472 -0.009313 8.993e-05 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 3.8919e-04 2.9886e-04 3.5649e-04 6.9703e-04 5.2407e-04 gamma_dropOff 9.230e-05 2.5027e-04 1.6107e-04 -2.8647e-04 0.001235 gamma_work 4.2990e-04 -7.1539e-04 0.002383 -4.2053e-04 -0.010660 gamma_school 8.3979e-04 -0.001915 0.003510 -0.004033 0.004204 gamma_shopping 1.1979e-04 6.252e-05 4.2834e-04 5.8380e-04 -1.6695e-04 gamma_privBusiness 0.004423 4.166e-05 -2.1737e-04 0.001493 -0.001308 gamma_petrol 4.166e-05 0.001182 1.2612e-04 3.864e-05 8.6928e-04 gamma_leisure -2.1737e-04 1.2612e-04 0.011197 4.451e-06 -3.8981e-04 gamma_vacation 0.001493 3.864e-05 4.451e-06 0.191564 0.002443 gamma_exercise -0.001308 8.6928e-04 -3.8981e-04 0.002443 0.113221 gamma_home 9.1366e-04 0.002686 0.007042 -0.003861 0.013850 gamma_travel 7.463e-05 -1.265e-05 -1.372e-05 1.9075e-04 1.5848e-04 gamma_other 0.007089 0.001301 7.1739e-04 0.009566 0.001060 delta_dropOff -1.1178e-04 9.0240e-04 0.001541 -0.001792 0.002556 delta_work -6.053e-06 0.001120 0.002177 -0.001157 0.005621 delta_school 9.1903e-04 0.001128 0.002542 -0.008421 0.010345 delta_shopping 6.001e-05 7.2277e-04 0.001463 -0.002255 0.004146 delta_privBusiness 2.1331e-04 8.5727e-04 0.001681 -0.002545 0.003781 delta_petrol 3.7023e-04 0.002465 8.333e-05 -2.0749e-04 0.003596 delta_leisure 4.372e-05 8.3558e-04 7.9581e-04 -0.003399 0.003951 delta_vacation -1.8522e-04 8.1244e-04 7.1844e-04 0.004133 0.005618 delta_exercise 1.3262e-04 7.8842e-04 0.002107 -0.001450 0.007322 delta_travel -1.7388e-04 0.001003 0.001992 -0.003252 0.004861 delta_other 6.4150e-04 0.001329 0.002575 -0.001268 0.003420 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.011836 3.6926e-04 0.005679 0.003598 0.002689 gamma_dropOff 0.008396 -1.138e-05 0.003482 0.003600 0.002767 gamma_work -0.021863 -4.2108e-04 -0.010878 -0.006121 -0.013379 gamma_school -0.033439 -2.9323e-04 0.004637 -0.014696 -0.012321 gamma_shopping 0.001353 1.237e-05 0.002925 -3.184e-05 5.1147e-04 gamma_privBusiness 9.1366e-04 7.463e-05 0.007089 -1.1178e-04 -6.053e-06 gamma_petrol 0.002686 -1.265e-05 0.001301 9.0240e-04 0.001120 gamma_leisure 0.007042 -1.372e-05 7.1739e-04 0.001541 0.002177 gamma_vacation -0.003861 1.9075e-04 0.009566 -0.001792 -0.001157 gamma_exercise 0.013850 1.5848e-04 0.001060 0.002556 0.005621 gamma_home 0.165701 4.6990e-04 0.054143 0.054284 0.050204 gamma_travel 4.6990e-04 1.5054e-04 8.1655e-04 -1.1265e-04 -2.099e-05 gamma_other 0.054143 8.1655e-04 0.642208 0.007240 0.015586 delta_dropOff 0.054284 -1.1265e-04 0.007240 0.024932 0.016913 delta_work 0.050204 -2.099e-05 0.015586 0.016913 0.017969 delta_school 0.061929 -8.223e-05 0.022266 0.020107 0.017635 delta_shopping 0.052556 -6.517e-05 0.014310 0.018579 0.016160 delta_privBusiness 0.053099 -6.407e-05 0.018236 0.018557 0.015999 delta_petrol 0.055774 -1.0674e-04 0.023504 0.020811 0.018405 delta_leisure 0.053314 -5.069e-05 0.013787 0.018414 0.016671 delta_vacation 0.050716 2.4438e-04 0.021520 0.015702 0.014625 delta_exercise 0.053623 -7.508e-05 0.010671 0.018636 0.016483 delta_travel 0.049299 -6.3421e-04 0.011713 0.018522 0.016761 delta_other 0.060626 1.7094e-04 0.024439 0.021817 0.019355 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.003831 0.003462 0.003637 0.003811 0.003104 gamma_dropOff 0.003306 0.003161 0.002865 0.003750 0.002839 gamma_work -0.004096 -0.007250 -0.005561 -0.008636 -0.007462 gamma_school 0.001109 -0.010757 -0.010433 -0.015574 -0.010131 gamma_shopping 8.4380e-04 1.7122e-04 3.1493e-04 2.7661e-04 3.8726e-04 gamma_privBusiness 9.1903e-04 6.001e-05 2.1331e-04 3.7023e-04 4.372e-05 gamma_petrol 0.001128 7.2277e-04 8.5727e-04 0.002465 8.3558e-04 gamma_leisure 0.002542 0.001463 0.001681 8.333e-05 7.9581e-04 gamma_vacation -0.008421 -0.002255 -0.002545 -2.0749e-04 -0.003399 gamma_exercise 0.010345 0.004146 0.003781 0.003596 0.003951 gamma_home 0.061929 0.052556 0.053099 0.055774 0.053314 gamma_travel -8.223e-05 -6.517e-05 -6.407e-05 -1.0674e-04 -5.069e-05 gamma_other 0.022266 0.014310 0.018236 0.023504 0.013787 delta_dropOff 0.020107 0.018579 0.018557 0.020811 0.018414 delta_work 0.017635 0.016160 0.015999 0.018405 0.016671 delta_school 0.054565 0.019306 0.019911 0.020217 0.020501 delta_shopping 0.019306 0.019384 0.017587 0.019521 0.017931 delta_privBusiness 0.019911 0.017587 0.020847 0.018540 0.018149 delta_petrol 0.020217 0.019521 0.018540 0.042675 0.019123 delta_leisure 0.020501 0.017931 0.018149 0.019123 0.019977 delta_vacation 0.019535 0.016247 0.015916 0.016746 0.018385 delta_exercise 0.020909 0.017858 0.017955 0.019168 0.017755 delta_travel 0.019949 0.017448 0.017466 0.019101 0.017873 delta_other 0.021568 0.020323 0.020770 0.023559 0.020282 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.003196 0.003356 0.001413 0.005029 gamma_dropOff 0.002654 0.002893 0.002977 0.002810 gamma_work -0.001619 -0.006385 -0.006509 -0.010472 gamma_school -0.009758 -0.009007 -0.009160 -0.009313 gamma_shopping 5.6170e-04 2.6193e-04 3.0421e-04 8.993e-05 gamma_privBusiness -1.8522e-04 1.3262e-04 -1.7388e-04 6.4150e-04 gamma_petrol 8.1244e-04 7.8842e-04 0.001003 0.001329 gamma_leisure 7.1844e-04 0.002107 0.001992 0.002575 gamma_vacation 0.004133 -0.001450 -0.003252 -0.001268 gamma_exercise 0.005618 0.007322 0.004861 0.003420 gamma_home 0.050716 0.053623 0.049299 0.060626 gamma_travel 2.4438e-04 -7.508e-05 -6.3421e-04 1.7094e-04 gamma_other 0.021520 0.010671 0.011713 0.024439 delta_dropOff 0.015702 0.018636 0.018522 0.021817 delta_work 0.014625 0.016483 0.016761 0.019355 delta_school 0.019535 0.020909 0.019949 0.021568 delta_shopping 0.016247 0.017858 0.017448 0.020323 delta_privBusiness 0.015916 0.017955 0.017466 0.020770 delta_petrol 0.016746 0.019168 0.019101 0.023559 delta_leisure 0.018385 0.017755 0.017873 0.020282 delta_vacation 0.074956 0.015218 0.015758 0.018539 delta_exercise 0.015218 0.024269 0.018120 0.020045 delta_travel 0.015758 0.018120 0.020097 0.019579 delta_other 0.018539 0.020045 0.019579 0.042853 Classical correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.000 -3.6568e-04 -4.3094e-04 -1.2818e-04 -4.7064e-04 gamma_dropOff -3.6568e-04 1.000000 -0.002385 -2.2910e-04 5.775e-05 gamma_work -4.3094e-04 -0.002385 1.000000 -0.001488 -0.004345 gamma_school -1.2818e-04 -2.2910e-04 -0.001488 1.000000 -2.2407e-04 gamma_shopping -4.7064e-04 5.775e-05 -0.004345 -2.2407e-04 1.000000 gamma_privBusiness -4.0603e-04 -1.0929e-04 -0.003524 -4.5072e-04 1.3135e-04 gamma_petrol -1.3417e-04 -1.051e-05 -2.1467e-04 -3.171e-05 1.950e-05 gamma_leisure -4.6417e-04 -4.3240e-04 -0.011686 -0.001459 -4.4407e-04 gamma_vacation -6.964e-05 7.377e-06 7.492e-05 3.305e-05 -9.238e-05 gamma_exercise -3.1675e-04 -6.3544e-04 -0.009165 -0.001426 -7.9382e-04 gamma_home -4.4323e-04 -0.003206 -0.085634 -0.010374 -0.002437 gamma_travel -6.5011e-04 0.001292 0.009235 -3.7238e-04 0.004334 gamma_other -1.4433e-04 -1.6844e-04 -0.004112 -4.6797e-04 -1.4654e-04 delta_dropOff 2.089e-05 -0.041286 -0.068825 -0.008151 -0.001793 delta_work 1.687e-05 -0.002360 -0.192831 -0.008852 -5.8943e-04 delta_school 1.191e-05 -0.001645 -0.046722 -0.017212 -0.001051 delta_shopping 1.936e-05 -0.002786 -0.073618 -0.008866 -0.073371 delta_privBusiness 2.087e-05 -0.002598 -0.071128 -0.008520 -0.001849 delta_petrol 1.111e-05 -0.001515 -0.042802 -0.005049 -0.001026 delta_leisure 1.770e-05 -0.002688 -0.073312 -0.008859 -0.001786 delta_vacation 6.818e-06 -9.3802e-04 -0.026563 -0.003136 -6.0944e-04 delta_exercise 1.936e-05 -0.002439 -0.069126 -0.008191 -0.001512 delta_travel -5.717e-05 -0.003490 -0.077664 -0.008199 -0.004425 delta_other 1.069e-05 -0.001417 -0.040220 -0.004745 -9.1610e-04 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -4.0603e-04 -1.3417e-04 -4.6417e-04 -6.964e-05 -3.1675e-04 gamma_dropOff -1.0929e-04 -1.051e-05 -4.3240e-04 7.377e-06 -6.3544e-04 gamma_work -0.003524 -2.1467e-04 -0.011686 7.492e-05 -0.009165 gamma_school -4.5072e-04 -3.171e-05 -0.001459 3.305e-05 -0.001426 gamma_shopping 1.3135e-04 1.950e-05 -4.4407e-04 -9.238e-05 -7.9382e-04 gamma_privBusiness 1.000000 -2.013e-05 -8.4366e-04 -4.722e-05 -8.9047e-04 gamma_petrol -2.013e-05 1.00000 -5.121e-05 9.124e-07 -5.411e-05 gamma_leisure -8.4366e-04 -5.121e-05 1.000000 -0.001133 -0.002857 gamma_vacation -4.722e-05 9.124e-07 -0.001133 1.000000 -7.114e-05 gamma_exercise -8.9047e-04 -5.411e-05 -0.002857 -7.114e-05 1.000000 gamma_home -0.005533 -3.3982e-04 -0.021337 -0.002904 -0.022812 gamma_travel 0.001615 8.294e-05 0.005476 -1.1155e-04 3.6877e-04 gamma_other -3.1036e-04 -5.356e-06 -0.001070 -6.4662e-04 -4.2984e-04 delta_dropOff -0.004307 -2.7419e-04 -0.017105 -0.002290 -0.018168 delta_work -0.003950 -2.6315e-04 -0.016550 -0.002545 -0.018935 delta_school -0.002883 -1.7999e-04 -0.011543 -0.001551 -0.012292 delta_shopping -0.004851 -3.3123e-04 -0.018823 -0.002491 -0.019716 delta_privBusiness -0.052806 -2.8025e-04 -0.017854 -0.002390 -0.018897 delta_petrol -0.002633 -0.01026 -0.010573 -0.001417 -0.011237 delta_leisure -0.004670 -2.9839e-04 -0.103591 -0.002432 -0.019655 delta_vacation -0.001637 -1.0285e-04 -0.006575 -0.004316 -0.006978 delta_exercise -0.004235 -2.6849e-04 -0.016974 -0.002310 -0.061576 delta_travel -0.005522 -3.3821e-04 -0.021866 -0.002310 -0.019123 delta_other -0.002494 -1.5533e-04 -0.009912 -0.001328 -0.010560 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base -4.4323e-04 -6.5011e-04 -1.4433e-04 2.089e-05 1.687e-05 gamma_dropOff -0.003206 0.001292 -1.6844e-04 -0.041286 -0.002360 gamma_work -0.085634 0.009235 -0.004112 -0.068825 -0.192831 gamma_school -0.010374 -3.7238e-04 -4.6797e-04 -0.008151 -0.008852 gamma_shopping -0.002437 0.004334 -1.4654e-04 -0.001793 -5.8943e-04 gamma_privBusiness -0.005533 0.001615 -3.1036e-04 -0.004307 -0.003950 gamma_petrol -3.3982e-04 8.294e-05 -5.356e-06 -2.7419e-04 -2.6315e-04 gamma_leisure -0.021337 0.005476 -0.001070 -0.017105 -0.016550 gamma_vacation -0.002904 -1.1155e-04 -6.4662e-04 -0.002290 -0.002545 gamma_exercise -0.022812 3.6877e-04 -4.2984e-04 -0.018168 -0.018935 gamma_home 1.000000 -0.008625 -0.004634 0.789246 0.885375 gamma_travel -0.008625 1.000000 -2.2119e-04 -0.011169 -0.015918 gamma_other -0.004634 -2.2119e-04 1.000000 -0.003657 -0.003588 delta_dropOff 0.789246 -0.011169 -0.003657 1.000000 0.754106 delta_work 0.885375 -0.015918 -0.003588 0.754106 1.000000 delta_school 0.534029 -0.006850 -0.002475 0.454882 0.510243 delta_shopping 0.859742 -0.013818 -0.003987 0.732444 0.820770 delta_privBusiness 0.824876 -0.011780 -0.003824 0.702704 0.787782 delta_petrol 0.487730 -0.006310 -0.002265 0.415474 0.466073 delta_leisure 0.869067 -0.014368 -0.003956 0.740417 0.829608 delta_vacation 0.302863 -0.003865 -0.001405 0.257987 0.289404 delta_exercise 0.797749 -0.010951 -0.003680 0.679640 0.762203 delta_travel 0.812994 -0.472718 -0.003673 0.695467 0.782359 delta_other 0.458506 -0.005876 -0.009008 0.390573 0.438147 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 1.191e-05 1.936e-05 2.087e-05 1.111e-05 1.770e-05 gamma_dropOff -0.001645 -0.002786 -0.002598 -0.001515 -0.002688 gamma_work -0.046722 -0.073618 -0.071128 -0.042802 -0.073312 gamma_school -0.017212 -0.008866 -0.008520 -0.005049 -0.008859 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 -1.7999e-04 -3.3123e-04 -2.8025e-04 -0.010256 -2.9839e-04 gamma_leisure -0.011543 -0.018823 -0.017854 -0.010573 -0.103591 gamma_vacation -0.001551 -0.002491 -0.002390 -0.001417 -0.002432 gamma_exercise -0.012292 -0.019716 -0.018897 -0.011237 -0.019655 gamma_home 0.534029 0.859742 0.824876 0.487730 0.869067 gamma_travel -0.006850 -0.013818 -0.011780 -0.006310 -0.014368 gamma_other -0.002475 -0.003987 -0.003824 -0.002265 -0.003956 delta_dropOff 0.454882 0.732444 0.702704 0.415474 0.740417 delta_work 0.510243 0.820770 0.787782 0.466073 0.829608 delta_school 1.000000 0.495429 0.475402 0.281080 0.500931 delta_shopping 0.495429 1.000000 0.765441 0.452555 0.806527 delta_privBusiness 0.475402 0.765441 1.000000 0.434199 0.773805 delta_petrol 0.281080 0.452555 0.434199 1.000000 0.457524 delta_leisure 0.500931 0.806527 0.773805 0.457524 1.000000 delta_vacation 0.174540 0.280992 0.269618 0.159413 0.284112 delta_exercise 0.459822 0.740210 0.710241 0.419967 0.748334 delta_travel 0.470013 0.758496 0.726857 0.429326 0.767495 delta_other 0.264242 0.425395 0.408195 0.241341 0.430106 delta_vacation delta_exercise delta_travel delta_other alpha_base 6.818e-06 1.936e-05 -5.717e-05 1.069e-05 gamma_dropOff -9.3802e-04 -0.002439 -0.003490 -0.001417 gamma_work -0.026563 -0.069126 -0.077664 -0.040220 gamma_school -0.003136 -0.008191 -0.008199 -0.004745 gamma_shopping -6.0944e-04 -0.001512 -0.004425 -9.1610e-04 gamma_privBusiness -0.001637 -0.004235 -0.005522 -0.002494 gamma_petrol -1.0285e-04 -2.6849e-04 -3.3821e-04 -1.5533e-04 gamma_leisure -0.006575 -0.016974 -0.021866 -0.009912 gamma_vacation -0.004316 -0.002310 -0.002310 -0.001328 gamma_exercise -0.006978 -0.061576 -0.019123 -0.010560 gamma_home 0.302863 0.797749 0.812994 0.458506 gamma_travel -0.003865 -0.010951 -0.472718 -0.005876 gamma_other -0.001405 -0.003680 -0.003673 -0.009008 delta_dropOff 0.257987 0.679640 0.695467 0.390573 delta_work 0.289404 0.762203 0.782359 0.438147 delta_school 0.174540 0.459822 0.470013 0.264242 delta_shopping 0.280992 0.740210 0.758496 0.425395 delta_privBusiness 0.269618 0.710241 0.726857 0.408195 delta_petrol 0.159413 0.419967 0.429326 0.241341 delta_leisure 0.284112 0.748334 0.767495 0.430106 delta_vacation 1.000000 0.260782 0.266573 0.149863 delta_exercise 0.260782 1.000000 0.702774 0.394805 delta_travel 0.266573 0.702774 1.000000 0.403583 delta_other 0.149863 0.394805 0.403583 1.000000 Robust correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.00000 0.144583 -0.169624 -0.164994 0.064032 gamma_dropOff 0.14458 1.000000 -0.093179 -0.111122 0.062390 gamma_work -0.16962 -0.093179 1.000000 0.171016 -0.079394 gamma_school -0.16499 -0.111122 0.171016 1.000000 -0.037403 gamma_shopping 0.06403 0.062390 -0.079394 -0.037403 1.000000 gamma_privBusiness 0.09935 0.017477 0.021096 0.023453 0.059315 gamma_petrol 0.14760 0.091682 -0.067918 -0.103472 0.059890 gamma_leisure 0.05720 0.019168 0.073479 0.061612 0.133297 gamma_vacation 0.02704 -0.008242 -0.003136 -0.017115 0.043923 gamma_exercise 0.02644 0.046204 -0.103389 0.023204 -0.016338 gamma_home 0.49364 0.259726 -0.175275 -0.152571 0.109427 gamma_travel 0.51093 -0.011677 -0.111998 -0.044388 0.033198 gamma_other 0.12032 0.054722 -0.044298 0.010746 0.120208 delta_dropOff 0.38689 0.287076 -0.126502 -0.172863 -0.006640 delta_work 0.34060 0.259946 -0.325716 -0.170717 0.125644 delta_school 0.27846 0.178215 -0.057222 0.008815 0.118951 delta_shopping 0.42209 0.285943 -0.169942 -0.143494 0.040496 delta_privBusiness 0.42770 0.249832 -0.125687 -0.134200 0.071827 delta_petrol 0.31321 0.228575 -0.136432 -0.140021 0.044093 delta_leisure 0.37288 0.252962 -0.172302 -0.133126 0.090224 delta_vacation 0.19817 0.122067 -0.019297 -0.066195 0.067559 delta_exercise 0.36577 0.233826 -0.133750 -0.107383 0.055365 delta_travel 0.16917 0.264456 -0.149837 -0.120008 0.070663 delta_other 0.41247 0.170963 -0.165094 -0.083557 0.014306 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 0.099352 0.147604 0.057196 0.027037 0.026441 gamma_dropOff 0.017477 0.091682 0.019168 -0.008242 0.046204 gamma_work 0.021096 -0.067918 0.073479 -0.003136 -0.103389 gamma_school 0.023453 -0.103472 0.061612 -0.017115 0.023204 gamma_shopping 0.059315 0.059890 0.133297 0.043923 -0.016338 gamma_privBusiness 1.000000 0.018226 -0.030889 0.051306 -0.058457 gamma_petrol 0.018226 1.000000 0.034672 0.002568 0.075155 gamma_leisure -0.030889 0.034672 1.000000 9.611e-05 -0.010948 gamma_vacation 0.051306 0.002568 9.611e-05 1.000000 0.016588 gamma_exercise -0.058457 0.075155 -0.010948 0.016588 1.000000 gamma_home 0.033750 0.191940 0.163487 -0.021672 0.101115 gamma_travel 0.091459 -0.029986 -0.010566 0.035520 0.038386 gamma_other 0.133008 0.047222 0.008460 0.027272 0.003930 delta_dropOff -0.010645 0.166259 0.092246 -0.025934 0.048112 delta_work -6.7894e-04 0.243072 0.153470 -0.019723 0.124631 delta_school 0.059159 0.140449 0.102834 -0.082362 0.131623 delta_shopping 0.006481 0.151022 0.099325 -0.036997 0.088505 delta_privBusiness 0.022214 0.172728 0.110019 -0.040266 0.077828 delta_petrol 0.026948 0.347102 0.003812 -0.002295 0.051734 delta_leisure 0.004651 0.171984 0.053210 -0.054940 0.083070 delta_vacation -0.010173 0.086328 0.024799 0.034495 0.060989 delta_exercise 0.012801 0.147228 0.127829 -0.021264 0.139677 delta_travel -0.018443 0.205829 0.132790 -0.052409 0.101904 delta_other 0.046597 0.186728 0.117531 -0.013998 0.049106 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.49364 0.51093 0.120319 0.386889 0.34060 gamma_dropOff 0.25973 -0.01168 0.054722 0.287076 0.25995 gamma_work -0.17528 -0.11200 -0.044298 -0.126502 -0.32572 gamma_school -0.15257 -0.04439 0.010746 -0.172863 -0.17072 gamma_shopping 0.10943 0.03320 0.120208 -0.006640 0.12564 gamma_privBusiness 0.03375 0.09146 0.133008 -0.010645 -6.7894e-04 gamma_petrol 0.19194 -0.02999 0.047222 0.166259 0.24307 gamma_leisure 0.16349 -0.01057 0.008460 0.092246 0.15347 gamma_vacation -0.02167 0.03552 0.027272 -0.025934 -0.01972 gamma_exercise 0.10111 0.03839 0.003930 0.048112 0.12463 gamma_home 1.00000 0.09408 0.165974 0.844565 0.92006 gamma_travel 0.09408 1.00000 0.083045 -0.058145 -0.01276 gamma_other 0.16597 0.08304 1.000000 0.057216 0.14509 delta_dropOff 0.84456 -0.05815 0.057216 1.000000 0.79904 delta_work 0.92006 -0.01276 0.145092 0.799044 1.00000 delta_school 0.65129 -0.02869 0.118947 0.545152 0.56320 delta_shopping 0.92733 -0.03815 0.128258 0.845100 0.86589 delta_privBusiness 0.90344 -0.03617 0.157608 0.813978 0.82662 delta_petrol 0.66326 -0.04211 0.141974 0.638006 0.66463 delta_leisure 0.92665 -0.02923 0.121720 0.825086 0.87990 delta_vacation 0.45507 0.07275 0.098083 0.363214 0.39850 delta_exercise 0.84558 -0.03928 0.085474 0.757605 0.78931 delta_travel 0.85429 -0.36462 0.103099 0.827424 0.88202 delta_other 0.71946 0.06730 0.147317 0.667448 0.69749 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.278460 0.422088 0.42770 0.313210 0.372884 gamma_dropOff 0.178215 0.285943 0.24983 0.228575 0.252962 gamma_work -0.057222 -0.169942 -0.12569 -0.136432 -0.172302 gamma_school 0.008815 -0.143494 -0.13420 -0.140021 -0.133126 gamma_shopping 0.118951 0.040496 0.07183 0.044093 0.090224 gamma_privBusiness 0.059159 0.006481 0.02221 0.026948 0.004651 gamma_petrol 0.140449 0.151022 0.17273 0.347102 0.171984 gamma_leisure 0.102834 0.099325 0.11002 0.003812 0.053210 gamma_vacation -0.082362 -0.036997 -0.04027 -0.002295 -0.054940 gamma_exercise 0.131623 0.088505 0.07783 0.051734 0.083070 gamma_home 0.651291 0.927330 0.90344 0.663260 0.926648 gamma_travel -0.028689 -0.038147 -0.03617 -0.042111 -0.029231 gamma_other 0.118947 0.128258 0.15761 0.141974 0.121720 delta_dropOff 0.545152 0.845100 0.81398 0.638006 0.825086 delta_work 0.563204 0.865890 0.82662 0.664629 0.879902 delta_school 1.000000 0.593635 0.59035 0.418962 0.620936 delta_shopping 0.593635 1.000000 0.87486 0.678704 0.911199 delta_privBusiness 0.590354 0.874863 1.00000 0.621587 0.889348 delta_petrol 0.418962 0.678704 0.62159 1.000000 0.654950 delta_leisure 0.620936 0.911199 0.88935 0.654950 1.000000 delta_vacation 0.305460 0.426234 0.40264 0.296084 0.475119 delta_exercise 0.574578 0.823341 0.79823 0.595613 0.806344 delta_travel 0.602407 0.884001 0.85332 0.652241 0.891980 delta_other 0.446025 0.705144 0.69490 0.550901 0.693212 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.19817 0.36577 0.16917 0.41247 gamma_dropOff 0.12207 0.23383 0.26446 0.17096 gamma_work -0.01930 -0.13375 -0.14984 -0.16509 gamma_school -0.06619 -0.10738 -0.12001 -0.08356 gamma_shopping 0.06756 0.05536 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 0.03449 -0.02126 -0.05241 -0.01400 gamma_exercise 0.06099 0.13968 0.10190 0.04911 gamma_home 0.45507 0.84558 0.85429 0.71946 gamma_travel 0.07275 -0.03928 -0.36462 0.06730 gamma_other 0.09808 0.08547 0.10310 0.14732 delta_dropOff 0.36321 0.75761 0.82742 0.66745 delta_work 0.39850 0.78931 0.88202 0.69749 delta_school 0.30546 0.57458 0.60241 0.44602 delta_shopping 0.42623 0.82334 0.88400 0.70514 delta_privBusiness 0.40264 0.79823 0.85332 0.69490 delta_petrol 0.29608 0.59561 0.65224 0.55090 delta_leisure 0.47512 0.80634 0.89198 0.69321 delta_vacation 1.00000 0.35680 0.40601 0.32712 delta_exercise 0.35680 1.00000 0.82045 0.62156 delta_travel 0.40601 0.82045 1.00000 0.66715 delta_other 0.32712 0.62156 0.66715 1.00000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 1.788132e-09 7652039 4.106724e-08 6292582 4.390068e-08 1226238 6.551171e-08 6873173 1.040644e-07 2684804 1.497519e-07 2191235 2.442603e-07 3051038 2.605943e-07 8530000 2.828529e-07 2146576 3.516958e-07 5804392 4.033760e-07 9216479 4.701231e-07 4376416 6.485365e-07 1482825 8.088769e-07 9902059 9.757484e-07 9545640 9.938237e-07 7177352 1.138460e-06 1496531 1.202539e-06 6526613 1.205564e-06 8465193 1.219903e-06 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -14.68670 -14.68670 gamma_dropOff 1.000 0.45377 -0.54623 gamma_work 1.000 6.91952 5.91952 gamma_school 1.000 3.12856 2.12856 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 1.82732 0.82732 gamma_vacation 1.000 1.55884 0.55884 gamma_exercise 1.000 2.87579 1.87579 gamma_home 1.000 2.66404 1.66404 gamma_travel 1.000 0.20166 -0.79834 gamma_other 1.000 1.66111 0.66111 delta_dropOff 0.000 -3.57836 -3.57836 delta_work 0.000 -2.35205 -2.35205 delta_school 0.000 -5.19983 -5.19983 delta_shopping 0.000 -2.76149 -2.76149 delta_privBusiness 0.000 -3.23577 -3.23577 delta_petrol 0.000 -5.45225 -5.45225 delta_leisure 0.000 -2.62775 -2.62775 delta_vacation 0.000 -6.60975 -6.60975 delta_exercise 0.000 -3.52951 -3.52951 delta_home 0.000 0.00000 0.00000 delta_travel 0.000 -0.07434 -0.07434 delta_other 0.000 -5.62274 -5.62274 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" Hessian routines attempted -------------- numerical second derivative of LL (using numDeriv) Scaling in estimation -------------- Value alpha_base 14.68666891 gamma_dropOff 0.45377219 gamma_work 6.91948875 gamma_school 3.12852855 gamma_shopping 0.42558135 gamma_privBusiness 0.61733885 gamma_petrol 0.11693032 gamma_leisure 1.82732691 gamma_vacation 1.55884785 gamma_exercise 2.87578939 gamma_home 2.66403601 gamma_travel 0.20166381 gamma_other 1.66110821 delta_dropOff 3.57834129 delta_work 2.35204904 delta_school 5.19981348 delta_shopping 2.76149256 delta_privBusiness 3.23576012 delta_petrol 5.45222251 delta_leisure 2.62774687 delta_vacation 6.60975651 delta_exercise 3.52952679 delta_travel 0.07434369 delta_other 5.62269439 Scaling used in computing Hessian -------------- Value alpha_base 14.68670251 gamma_dropOff 0.45377257 gamma_work 6.91951517 gamma_school 3.12855514 gamma_shopping 0.42558132 gamma_privBusiness 0.61733879 gamma_petrol 0.11693031 gamma_leisure 1.82732348 gamma_vacation 1.55884392 gamma_exercise 2.87579044 gamma_home 2.66403732 gamma_travel 0.20166402 gamma_other 1.66110833 delta_dropOff 3.57835865 delta_work 2.35204847 delta_school 5.19982856 delta_shopping 2.76149172 delta_privBusiness 3.23576789 delta_petrol 5.45225159 delta_leisure 2.62774629 delta_vacation 6.60975209 delta_exercise 3.52951309 delta_travel 0.07434367 delta_other 5.62274364 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) }