Model run by stephane.hess using Apollo 0.2.8 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 : 2022-10-08 12:58:07 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 at equal shares, LL(0) : Not applicable LL at observed shares, LL(C) : Not applicable 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) : 00:00:30.02 pre-estimation : 00:00:0.29 estimation : 00:00:19.34 post-estimation : 00:00:10.39 Iterations : 91 Min abs eigenvalue of Hessian : 0.000487 Unconstrained optimisation. These outputs have had the scaling used in estimation applied to them. 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 model component : dropOff work school shopping privBusiness petrol leisure vacation Times available 2826.00 2826.00 2826.00 2826.0 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 Average consumption when available 0.39 2.89 0.11 0.5 0.44 0.03 1.10 0.02 Average consumption when chosen 2.81 7.17 3.52 1.8 2.34 1.33 3.52 2.75 exercise home travel other Times available 2826.00 2826.00 2826.00 2826.00 Observations in which chosen 420.00 2770.00 2328.00 56.00 Average consumption when available 0.73 16.10 1.59 0.10 Average consumption when chosen 4.90 16.43 1.93 4.82 Classical covariance matrix: alpha_base gamma_dropOff gamma_work gamma_school alpha_base 2055.155116 -7.4514e-04 -0.007798 -0.003389 gamma_dropOff -7.4514e-04 0.002020 -4.279e-05 -6.005e-06 gamma_work -0.007798 -4.279e-05 0.159311 -3.4634e-04 gamma_school -0.003389 -6.005e-06 -3.4634e-04 0.340071 gamma_shopping -5.7148e-04 6.953e-08 -4.645e-05 -3.500e-06 gamma_privBusiness -9.1802e-04 -2.450e-07 -7.014e-05 -1.311e-05 gamma_petrol -1.5312e-04 -1.189e-08 -2.157e-06 -4.655e-07 gamma_leisure -0.002287 -2.112e-06 -5.0692e-04 -9.247e-05 gamma_vacation -0.001871 1.965e-07 1.772e-05 1.142e-05 gamma_exercise -0.003766 -7.491e-06 -9.5946e-04 -2.1808e-04 gamma_home -0.004672 -3.351e-05 -0.007948 -0.001407 gamma_travel -3.1586e-04 6.224e-07 3.951e-05 -2.327e-06 gamma_other -0.003218 -3.724e-06 -8.0724e-04 -1.3424e-04 delta_dropOff 8.367e-05 -1.6397e-04 -0.002427 -4.2001e-04 delta_work 6.089e-05 -8.446e-06 -0.006127 -4.1096e-04 delta_school 7.040e-05 -9.641e-06 -0.002431 -0.001309 delta_shopping 7.113e-05 -1.015e-05 -0.002381 -4.1894e-04 delta_privBusiness 7.993e-05 -9.866e-06 -0.002399 -4.1985e-04 delta_petrol 7.191e-05 -9.723e-06 -0.002439 -4.2041e-04 delta_leisure 6.456e-05 -9.721e-06 -0.002354 -4.1566e-04 delta_vacation 7.106e-05 -9.693e-06 -0.002437 -4.2045e-04 delta_exercise 7.685e-05 -9.599e-06 -0.002416 -4.1831e-04 delta_travel -2.2342e-04 -1.352e-05 -0.002672 -4.1219e-04 delta_other 7.368e-05 -9.678e-06 -0.002440 -4.2053e-04 gamma_shopping gamma_privBusiness gamma_petrol gamma_leisure alpha_base -5.7148e-04 -9.1802e-04 -1.5312e-04 -0.002287 gamma_dropOff 6.953e-08 -2.450e-07 -1.189e-08 -2.112e-06 gamma_work -4.645e-05 -7.014e-05 -2.157e-06 -5.0692e-04 gamma_school -3.500e-06 -1.311e-05 -4.655e-07 -9.247e-05 gamma_shopping 7.1741e-04 1.755e-07 1.315e-08 -1.293e-06 gamma_privBusiness 1.755e-07 0.002487 -2.528e-08 -4.573e-06 gamma_petrol 1.315e-08 -2.528e-08 6.3376e-04 -1.401e-07 gamma_leisure -1.293e-06 -4.573e-06 -1.401e-07 0.011812 gamma_vacation -1.466e-06 -1.395e-06 1.361e-08 -7.296e-05 gamma_exercise -5.577e-06 -1.165e-05 -3.573e-07 -8.144e-05 gamma_home -1.518e-05 -6.417e-05 -1.989e-06 -5.3921e-04 gamma_travel 1.244e-06 8.631e-07 2.238e-08 6.378e-06 gamma_other -1.931e-06 -7.614e-06 -6.632e-08 -5.723e-05 delta_dropOff -4.242e-06 -1.898e-05 -6.099e-07 -1.6426e-04 delta_work -1.257e-06 -1.568e-05 -5.274e-07 -1.4320e-04 delta_school -3.669e-06 -1.875e-05 -5.908e-07 -1.6357e-04 delta_shopping -1.5923e-04 -1.960e-05 -6.756e-07 -1.6575e-04 delta_privBusiness -4.185e-06 -2.2254e-04 -5.961e-07 -1.6396e-04 delta_petrol -3.926e-06 -1.875e-05 -3.687e-05 -1.6407e-04 delta_leisure -3.849e-06 -1.874e-05 -6.044e-07 -9.0586e-04 delta_vacation -3.753e-06 -1.877e-05 -5.953e-07 -1.6428e-04 delta_exercise -3.546e-06 -1.850e-05 -5.919e-07 -1.6156e-04 delta_travel -1.022e-05 -2.374e-05 -7.340e-07 -2.0487e-04 delta_other -3.729e-06 -1.890e-05 -5.943e-07 -1.6373e-04 gamma_vacation gamma_exercise gamma_home gamma_travel alpha_base -0.001871 -0.003766 -0.004672 -3.1586e-04 gamma_dropOff 1.965e-07 -7.491e-06 -3.351e-05 6.224e-07 gamma_work 1.772e-05 -9.5946e-04 -0.007948 3.951e-05 gamma_school 1.142e-05 -2.1808e-04 -0.001407 -2.327e-06 gamma_shopping -1.466e-06 -5.577e-06 -1.518e-05 1.244e-06 gamma_privBusiness -1.395e-06 -1.165e-05 -6.417e-05 8.631e-07 gamma_petrol 1.361e-08 -3.573e-07 -1.989e-06 2.238e-08 gamma_leisure -7.296e-05 -8.144e-05 -5.3921e-04 6.378e-06 gamma_vacation 0.351021 -1.105e-05 -4.0004e-04 -7.083e-07 gamma_exercise -1.105e-05 0.068791 -0.001391 1.037e-06 gamma_home -4.0004e-04 -0.001391 0.054067 -2.149e-05 gamma_travel -7.083e-07 1.037e-06 -2.149e-05 1.1486e-04 gamma_other -1.8845e-04 -5.546e-05 -5.3006e-04 -1.166e-06 delta_dropOff -1.1988e-04 -4.2105e-04 0.016216 -1.058e-05 delta_work -1.2006e-04 -3.9537e-04 0.016389 -1.358e-05 delta_school -1.1982e-04 -4.2035e-04 0.016190 -9.571e-06 delta_shopping -1.1956e-04 -4.1900e-04 0.016198 -1.200e-05 delta_privBusiness -1.1966e-04 -4.1879e-04 0.016207 -1.067e-05 delta_petrol -1.1984e-04 -4.2085e-04 0.016193 -9.657e-06 delta_leisure -1.1593e-04 -4.1478e-04 0.016259 -1.239e-05 delta_vacation -5.8781e-04 -4.2077e-04 0.016190 -9.522e-06 delta_exercise -1.1985e-04 -0.001414 0.016245 -1.028e-05 delta_travel -1.1798e-04 -4.3241e-04 0.016297 -4.3677e-04 delta_other -1.1954e-04 -4.2095e-04 0.016203 -9.571e-06 gamma_other delta_dropOff delta_work delta_school alpha_base -0.003218 8.367e-05 6.089e-05 7.040e-05 gamma_dropOff -3.724e-06 -1.6397e-04 -8.446e-06 -9.641e-06 gamma_work -8.0724e-04 -0.002427 -0.006127 -0.002431 gamma_school -1.3424e-04 -4.2001e-04 -4.1096e-04 -0.001309 gamma_shopping -1.931e-06 -4.242e-06 -1.257e-06 -3.669e-06 gamma_privBusiness -7.614e-06 -1.898e-05 -1.568e-05 -1.875e-05 gamma_petrol -6.632e-08 -6.099e-07 -5.274e-07 -5.908e-07 gamma_leisure -5.723e-05 -1.6426e-04 -1.4320e-04 -1.6357e-04 gamma_vacation -1.8845e-04 -1.1988e-04 -1.2006e-04 -1.1982e-04 gamma_exercise -5.546e-05 -4.2105e-04 -3.9537e-04 -4.2035e-04 gamma_home -5.3006e-04 0.016216 0.016389 0.016190 gamma_travel -1.166e-06 -1.058e-05 -1.358e-05 -9.571e-06 gamma_other 0.241960 -1.5894e-04 -1.4051e-04 -1.5874e-04 delta_dropOff -1.5894e-04 0.007807 0.005305 0.005241 delta_work -1.4051e-04 0.005305 0.006338 0.005296 delta_school -1.5874e-04 0.005241 0.005296 0.016999 delta_shopping -1.5889e-04 0.005244 0.005294 0.005234 delta_privBusiness -1.5895e-04 0.005247 0.005299 0.005238 delta_petrol -1.5911e-04 0.005242 0.005298 0.005233 delta_leisure -1.5657e-04 0.005264 0.005314 0.005255 delta_vacation -1.5890e-04 0.005241 0.005297 0.005232 delta_exercise -1.5853e-04 0.005259 0.005314 0.005250 delta_travel -1.5574e-04 0.005298 0.005370 0.005283 delta_other -6.7344e-04 0.005245 0.005301 0.005236 delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 7.113e-05 7.993e-05 7.191e-05 6.456e-05 gamma_dropOff -1.015e-05 -9.866e-06 -9.723e-06 -9.721e-06 gamma_work -0.002381 -0.002399 -0.002439 -0.002354 gamma_school -4.1894e-04 -4.1985e-04 -4.2041e-04 -4.1566e-04 gamma_shopping -1.5923e-04 -4.185e-06 -3.926e-06 -3.849e-06 gamma_privBusiness -1.960e-05 -2.2254e-04 -1.875e-05 -1.874e-05 gamma_petrol -6.756e-07 -5.961e-07 -3.687e-05 -6.044e-07 gamma_leisure -1.6575e-04 -1.6396e-04 -1.6407e-04 -9.0586e-04 gamma_vacation -1.1956e-04 -1.1966e-04 -1.1984e-04 -1.1593e-04 gamma_exercise -4.1900e-04 -4.1879e-04 -4.2085e-04 -4.1478e-04 gamma_home 0.016198 0.016207 0.016193 0.016259 gamma_travel -1.200e-05 -1.067e-05 -9.657e-06 -1.239e-05 gamma_other -1.5889e-04 -1.5895e-04 -1.5911e-04 -1.5657e-04 delta_dropOff 0.005244 0.005247 0.005242 0.005264 delta_work 0.005294 0.005299 0.005298 0.005314 delta_school 0.005234 0.005238 0.005233 0.005255 delta_shopping 0.006565 0.005241 0.005236 0.005258 delta_privBusiness 0.005241 0.007140 0.005239 0.005261 delta_petrol 0.005236 0.005239 0.020389 0.005256 delta_leisure 0.005258 0.005261 0.005256 0.006474 delta_vacation 0.005234 0.005238 0.005233 0.005255 delta_exercise 0.005252 0.005256 0.005252 0.005273 delta_travel 0.005298 0.005295 0.005285 0.005324 delta_other 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 alpha_base 0.003470 6.7630e-04 -0.003062 -0.005233 gamma_dropOff 6.7630e-04 0.006306 -0.002267 -0.004751 gamma_work -0.003062 -0.002267 0.093897 0.028215 gamma_school -0.005233 -0.004751 0.028215 0.289893 gamma_shopping 1.1454e-04 1.5046e-04 -7.3880e-04 -6.1156e-04 gamma_privBusiness 3.8919e-04 9.230e-05 4.2990e-04 8.3979e-04 gamma_petrol 2.9886e-04 2.5027e-04 -7.1539e-04 -0.001915 gamma_leisure 3.5649e-04 1.6107e-04 0.002383 0.003510 gamma_vacation 6.9703e-04 -2.8647e-04 -4.2053e-04 -0.004033 gamma_exercise 5.2407e-04 0.001235 -0.010660 0.004204 gamma_home 0.011836 0.008396 -0.021863 -0.033439 gamma_travel 3.6926e-04 -1.138e-05 -4.2108e-04 -2.9323e-04 gamma_other 0.005679 0.003482 -0.010878 0.004637 delta_dropOff 0.003598 0.003600 -0.006121 -0.014696 delta_work 0.002689 0.002767 -0.013379 -0.012321 delta_school 0.003831 0.003306 -0.004096 0.001109 delta_shopping 0.003462 0.003161 -0.007250 -0.010757 delta_privBusiness 0.003637 0.002865 -0.005561 -0.010433 delta_petrol 0.003811 0.003750 -0.008636 -0.015574 delta_leisure 0.003104 0.002839 -0.007462 -0.010131 delta_vacation 0.003196 0.002654 -0.001619 -0.009758 delta_exercise 0.003356 0.002893 -0.006385 -0.009007 delta_travel 0.001413 0.002977 -0.006509 -0.009160 delta_other 0.005029 0.002810 -0.010472 -0.009313 gamma_shopping gamma_privBusiness gamma_petrol gamma_leisure alpha_base 1.1454e-04 3.8919e-04 2.9886e-04 3.5649e-04 gamma_dropOff 1.5046e-04 9.230e-05 2.5027e-04 1.6107e-04 gamma_work -7.3880e-04 4.2990e-04 -7.1539e-04 0.002383 gamma_school -6.1156e-04 8.3979e-04 -0.001915 0.003510 gamma_shopping 9.2221e-04 1.1979e-04 6.252e-05 4.2834e-04 gamma_privBusiness 1.1979e-04 0.004423 4.166e-05 -2.1737e-04 gamma_petrol 6.252e-05 4.166e-05 0.001182 1.2612e-04 gamma_leisure 4.2834e-04 -2.1737e-04 1.2612e-04 0.011197 gamma_vacation 5.8380e-04 0.001493 3.864e-05 4.451e-06 gamma_exercise -1.6695e-04 -0.001308 8.6928e-04 -3.8981e-04 gamma_home 0.001353 9.1366e-04 0.002686 0.007042 gamma_travel 1.237e-05 7.463e-05 -1.265e-05 -1.372e-05 gamma_other 0.002925 0.007089 0.001301 7.1739e-04 delta_dropOff -3.184e-05 -1.1178e-04 9.0240e-04 0.001541 delta_work 5.1147e-04 -6.053e-06 0.001120 0.002177 delta_school 8.4380e-04 9.1903e-04 0.001128 0.002542 delta_shopping 1.7122e-04 6.001e-05 7.2277e-04 0.001463 delta_privBusiness 3.1493e-04 2.1331e-04 8.5727e-04 0.001681 delta_petrol 2.7661e-04 3.7023e-04 0.002465 8.333e-05 delta_leisure 3.8726e-04 4.372e-05 8.3558e-04 7.9581e-04 delta_vacation 5.6170e-04 -1.8522e-04 8.1244e-04 7.1844e-04 delta_exercise 2.6193e-04 1.3262e-04 7.8842e-04 0.002107 delta_travel 3.0421e-04 -1.7388e-04 0.001003 0.001992 delta_other 8.993e-05 6.4150e-04 0.001329 0.002575 gamma_vacation gamma_exercise gamma_home gamma_travel alpha_base 6.9703e-04 5.2407e-04 0.011836 3.6926e-04 gamma_dropOff -2.8647e-04 0.001235 0.008396 -1.138e-05 gamma_work -4.2053e-04 -0.010660 -0.021863 -4.2108e-04 gamma_school -0.004033 0.004204 -0.033439 -2.9323e-04 gamma_shopping 5.8380e-04 -1.6695e-04 0.001353 1.237e-05 gamma_privBusiness 0.001493 -0.001308 9.1366e-04 7.463e-05 gamma_petrol 3.864e-05 8.6928e-04 0.002686 -1.265e-05 gamma_leisure 4.451e-06 -3.8981e-04 0.007042 -1.372e-05 gamma_vacation 0.191564 0.002443 -0.003861 1.9075e-04 gamma_exercise 0.002443 0.113221 0.013850 1.5848e-04 gamma_home -0.003861 0.013850 0.165701 4.6990e-04 gamma_travel 1.9075e-04 1.5848e-04 4.6990e-04 1.5054e-04 gamma_other 0.009566 0.001060 0.054143 8.1655e-04 delta_dropOff -0.001792 0.002556 0.054284 -1.1265e-04 delta_work -0.001157 0.005621 0.050204 -2.099e-05 delta_school -0.008421 0.010345 0.061929 -8.223e-05 delta_shopping -0.002255 0.004146 0.052556 -6.517e-05 delta_privBusiness -0.002545 0.003781 0.053099 -6.407e-05 delta_petrol -2.0749e-04 0.003596 0.055774 -1.0674e-04 delta_leisure -0.003399 0.003951 0.053314 -5.069e-05 delta_vacation 0.004133 0.005618 0.050716 2.4438e-04 delta_exercise -0.001450 0.007322 0.053623 -7.508e-05 delta_travel -0.003252 0.004861 0.049299 -6.3421e-04 delta_other -0.001268 0.003420 0.060626 1.7094e-04 gamma_other delta_dropOff delta_work delta_school alpha_base 0.005679 0.003598 0.002689 0.003831 gamma_dropOff 0.003482 0.003600 0.002767 0.003306 gamma_work -0.010878 -0.006121 -0.013379 -0.004096 gamma_school 0.004637 -0.014696 -0.012321 0.001109 gamma_shopping 0.002925 -3.184e-05 5.1147e-04 8.4380e-04 gamma_privBusiness 0.007089 -1.1178e-04 -6.053e-06 9.1903e-04 gamma_petrol 0.001301 9.0240e-04 0.001120 0.001128 gamma_leisure 7.1739e-04 0.001541 0.002177 0.002542 gamma_vacation 0.009566 -0.001792 -0.001157 -0.008421 gamma_exercise 0.001060 0.002556 0.005621 0.010345 gamma_home 0.054143 0.054284 0.050204 0.061929 gamma_travel 8.1655e-04 -1.1265e-04 -2.099e-05 -8.223e-05 gamma_other 0.642208 0.007240 0.015586 0.022266 delta_dropOff 0.007240 0.024932 0.016913 0.020107 delta_work 0.015586 0.016913 0.017969 0.017635 delta_school 0.022266 0.020107 0.017635 0.054565 delta_shopping 0.014310 0.018579 0.016160 0.019306 delta_privBusiness 0.018236 0.018557 0.015999 0.019911 delta_petrol 0.023504 0.020811 0.018405 0.020217 delta_leisure 0.013787 0.018414 0.016671 0.020501 delta_vacation 0.021520 0.015702 0.014625 0.019535 delta_exercise 0.010671 0.018636 0.016483 0.020909 delta_travel 0.011713 0.018522 0.016761 0.019949 delta_other 0.024439 0.021817 0.019355 0.021568 delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.003462 0.003637 0.003811 0.003104 gamma_dropOff 0.003161 0.002865 0.003750 0.002839 gamma_work -0.007250 -0.005561 -0.008636 -0.007462 gamma_school -0.010757 -0.010433 -0.015574 -0.010131 gamma_shopping 1.7122e-04 3.1493e-04 2.7661e-04 3.8726e-04 gamma_privBusiness 6.001e-05 2.1331e-04 3.7023e-04 4.372e-05 gamma_petrol 7.2277e-04 8.5727e-04 0.002465 8.3558e-04 gamma_leisure 0.001463 0.001681 8.333e-05 7.9581e-04 gamma_vacation -0.002255 -0.002545 -2.0749e-04 -0.003399 gamma_exercise 0.004146 0.003781 0.003596 0.003951 gamma_home 0.052556 0.053099 0.055774 0.053314 gamma_travel -6.517e-05 -6.407e-05 -1.0674e-04 -5.069e-05 gamma_other 0.014310 0.018236 0.023504 0.013787 delta_dropOff 0.018579 0.018557 0.020811 0.018414 delta_work 0.016160 0.015999 0.018405 0.016671 delta_school 0.019306 0.019911 0.020217 0.020501 delta_shopping 0.019384 0.017587 0.019521 0.017931 delta_privBusiness 0.017587 0.020847 0.018540 0.018149 delta_petrol 0.019521 0.018540 0.042675 0.019123 delta_leisure 0.017931 0.018149 0.019123 0.019977 delta_vacation 0.016247 0.015916 0.016746 0.018385 delta_exercise 0.017858 0.017955 0.019168 0.017755 delta_travel 0.017448 0.017466 0.019101 0.017873 delta_other 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 alpha_base 1.000 -3.6568e-04 -4.3094e-04 -1.2818e-04 gamma_dropOff -3.6568e-04 1.000000 -0.002385 -2.2910e-04 gamma_work -4.3094e-04 -0.002385 1.000000 -0.001488 gamma_school -1.2818e-04 -2.2910e-04 -0.001488 1.000000 gamma_shopping -4.7064e-04 5.775e-05 -0.004345 -2.2407e-04 gamma_privBusiness -4.0603e-04 -1.0929e-04 -0.003524 -4.5072e-04 gamma_petrol -1.3417e-04 -1.051e-05 -2.1467e-04 -3.171e-05 gamma_leisure -4.6417e-04 -4.3240e-04 -0.011686 -0.001459 gamma_vacation -6.964e-05 7.377e-06 7.492e-05 3.305e-05 gamma_exercise -3.1675e-04 -6.3544e-04 -0.009165 -0.001426 gamma_home -4.4323e-04 -0.003206 -0.085634 -0.010374 gamma_travel -6.5011e-04 0.001292 0.009235 -3.7238e-04 gamma_other -1.4433e-04 -1.6844e-04 -0.004112 -4.6797e-04 delta_dropOff 2.089e-05 -0.041286 -0.068825 -0.008151 delta_work 1.687e-05 -0.002360 -0.192831 -0.008852 delta_school 1.191e-05 -0.001645 -0.046722 -0.017212 delta_shopping 1.936e-05 -0.002786 -0.073618 -0.008866 delta_privBusiness 2.087e-05 -0.002598 -0.071128 -0.008520 delta_petrol 1.111e-05 -0.001515 -0.042802 -0.005049 delta_leisure 1.770e-05 -0.002688 -0.073312 -0.008859 delta_vacation 6.818e-06 -9.3802e-04 -0.026563 -0.003136 delta_exercise 1.936e-05 -0.002439 -0.069126 -0.008191 delta_travel -5.717e-05 -0.003490 -0.077664 -0.008199 delta_other 1.069e-05 -0.001417 -0.040220 -0.004745 gamma_shopping gamma_privBusiness gamma_petrol gamma_leisure alpha_base -4.7064e-04 -4.0603e-04 -1.3417e-04 -4.6417e-04 gamma_dropOff 5.775e-05 -1.0929e-04 -1.051e-05 -4.3240e-04 gamma_work -0.004345 -0.003524 -2.1467e-04 -0.011686 gamma_school -2.2407e-04 -4.5072e-04 -3.171e-05 -0.001459 gamma_shopping 1.000000 1.3135e-04 1.950e-05 -4.4407e-04 gamma_privBusiness 1.3135e-04 1.000000 -2.013e-05 -8.4366e-04 gamma_petrol 1.950e-05 -2.013e-05 1.00000 -5.121e-05 gamma_leisure -4.4407e-04 -8.4366e-04 -5.121e-05 1.000000 gamma_vacation -9.238e-05 -4.722e-05 9.124e-07 -0.001133 gamma_exercise -7.9382e-04 -8.9047e-04 -5.411e-05 -0.002857 gamma_home -0.002437 -0.005533 -3.3982e-04 -0.021337 gamma_travel 0.004334 0.001615 8.294e-05 0.005476 gamma_other -1.4654e-04 -3.1036e-04 -5.356e-06 -0.001070 delta_dropOff -0.001793 -0.004307 -2.7419e-04 -0.017105 delta_work -5.8943e-04 -0.003950 -2.6315e-04 -0.016550 delta_school -0.001051 -0.002883 -1.7999e-04 -0.011543 delta_shopping -0.073371 -0.004851 -3.3123e-04 -0.018823 delta_privBusiness -0.001849 -0.052806 -2.8025e-04 -0.017854 delta_petrol -0.001026 -0.002633 -0.01026 -0.010573 delta_leisure -0.001786 -0.004670 -2.9839e-04 -0.103591 delta_vacation -6.0944e-04 -0.001637 -1.0285e-04 -0.006575 delta_exercise -0.001512 -0.004235 -2.6849e-04 -0.016974 delta_travel -0.004425 -0.005522 -3.3821e-04 -0.021866 delta_other -9.1610e-04 -0.002494 -1.5533e-04 -0.009912 gamma_vacation gamma_exercise gamma_home gamma_travel alpha_base -6.964e-05 -3.1675e-04 -4.4323e-04 -6.5011e-04 gamma_dropOff 7.377e-06 -6.3544e-04 -0.003206 0.001292 gamma_work 7.492e-05 -0.009165 -0.085634 0.009235 gamma_school 3.305e-05 -0.001426 -0.010374 -3.7238e-04 gamma_shopping -9.238e-05 -7.9382e-04 -0.002437 0.004334 gamma_privBusiness -4.722e-05 -8.9047e-04 -0.005533 0.001615 gamma_petrol 9.124e-07 -5.411e-05 -3.3982e-04 8.294e-05 gamma_leisure -0.001133 -0.002857 -0.021337 0.005476 gamma_vacation 1.000000 -7.114e-05 -0.002904 -1.1155e-04 gamma_exercise -7.114e-05 1.000000 -0.022812 3.6877e-04 gamma_home -0.002904 -0.022812 1.000000 -0.008625 gamma_travel -1.1155e-04 3.6877e-04 -0.008625 1.000000 gamma_other -6.4662e-04 -4.2984e-04 -0.004634 -2.2119e-04 delta_dropOff -0.002290 -0.018168 0.789246 -0.011169 delta_work -0.002545 -0.018935 0.885375 -0.015918 delta_school -0.001551 -0.012292 0.534029 -0.006850 delta_shopping -0.002491 -0.019716 0.859742 -0.013818 delta_privBusiness -0.002390 -0.018897 0.824876 -0.011780 delta_petrol -0.001417 -0.011237 0.487730 -0.006310 delta_leisure -0.002432 -0.019655 0.869067 -0.014368 delta_vacation -0.004316 -0.006978 0.302863 -0.003865 delta_exercise -0.002310 -0.061576 0.797749 -0.010951 delta_travel -0.002310 -0.019123 0.812994 -0.472718 delta_other -0.001328 -0.010560 0.458506 -0.005876 gamma_other delta_dropOff delta_work delta_school alpha_base -1.4433e-04 2.089e-05 1.687e-05 1.191e-05 gamma_dropOff -1.6844e-04 -0.041286 -0.002360 -0.001645 gamma_work -0.004112 -0.068825 -0.192831 -0.046722 gamma_school -4.6797e-04 -0.008151 -0.008852 -0.017212 gamma_shopping -1.4654e-04 -0.001793 -5.8943e-04 -0.001051 gamma_privBusiness -3.1036e-04 -0.004307 -0.003950 -0.002883 gamma_petrol -5.356e-06 -2.7419e-04 -2.6315e-04 -1.7999e-04 gamma_leisure -0.001070 -0.017105 -0.016550 -0.011543 gamma_vacation -6.4662e-04 -0.002290 -0.002545 -0.001551 gamma_exercise -4.2984e-04 -0.018168 -0.018935 -0.012292 gamma_home -0.004634 0.789246 0.885375 0.534029 gamma_travel -2.2119e-04 -0.011169 -0.015918 -0.006850 gamma_other 1.000000 -0.003657 -0.003588 -0.002475 delta_dropOff -0.003657 1.000000 0.754106 0.454882 delta_work -0.003588 0.754106 1.000000 0.510243 delta_school -0.002475 0.454882 0.510243 1.000000 delta_shopping -0.003987 0.732444 0.820770 0.495429 delta_privBusiness -0.003824 0.702704 0.787782 0.475402 delta_petrol -0.002265 0.415474 0.466073 0.281080 delta_leisure -0.003956 0.740417 0.829608 0.500931 delta_vacation -0.001405 0.257987 0.289404 0.174540 delta_exercise -0.003680 0.679640 0.762203 0.459822 delta_travel -0.003673 0.695467 0.782359 0.470013 delta_other -0.009008 0.390573 0.438147 0.264242 delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 1.936e-05 2.087e-05 1.111e-05 1.770e-05 gamma_dropOff -0.002786 -0.002598 -0.001515 -0.002688 gamma_work -0.073618 -0.071128 -0.042802 -0.073312 gamma_school -0.008866 -0.008520 -0.005049 -0.008859 gamma_shopping -0.073371 -0.001849 -0.001026 -0.001786 gamma_privBusiness -0.004851 -0.052806 -0.002633 -0.004670 gamma_petrol -3.3123e-04 -2.8025e-04 -0.010256 -2.9839e-04 gamma_leisure -0.018823 -0.017854 -0.010573 -0.103591 gamma_vacation -0.002491 -0.002390 -0.001417 -0.002432 gamma_exercise -0.019716 -0.018897 -0.011237 -0.019655 gamma_home 0.859742 0.824876 0.487730 0.869067 gamma_travel -0.013818 -0.011780 -0.006310 -0.014368 gamma_other -0.003987 -0.003824 -0.002265 -0.003956 delta_dropOff 0.732444 0.702704 0.415474 0.740417 delta_work 0.820770 0.787782 0.466073 0.829608 delta_school 0.495429 0.475402 0.281080 0.500931 delta_shopping 1.000000 0.765441 0.452555 0.806527 delta_privBusiness 0.765441 1.000000 0.434199 0.773805 delta_petrol 0.452555 0.434199 1.000000 0.457524 delta_leisure 0.806527 0.773805 0.457524 1.000000 delta_vacation 0.280992 0.269618 0.159413 0.284112 delta_exercise 0.740210 0.710241 0.419967 0.748334 delta_travel 0.758496 0.726857 0.429326 0.767495 delta_other 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 alpha_base 1.00000 0.144583 -0.169624 -0.164994 gamma_dropOff 0.14458 1.000000 -0.093179 -0.111122 gamma_work -0.16962 -0.093179 1.000000 0.171016 gamma_school -0.16499 -0.111122 0.171016 1.000000 gamma_shopping 0.06403 0.062390 -0.079394 -0.037403 gamma_privBusiness 0.09935 0.017477 0.021096 0.023453 gamma_petrol 0.14760 0.091682 -0.067918 -0.103472 gamma_leisure 0.05720 0.019168 0.073479 0.061612 gamma_vacation 0.02704 -0.008242 -0.003136 -0.017115 gamma_exercise 0.02644 0.046204 -0.103389 0.023204 gamma_home 0.49364 0.259726 -0.175275 -0.152571 gamma_travel 0.51093 -0.011677 -0.111998 -0.044388 gamma_other 0.12032 0.054722 -0.044298 0.010746 delta_dropOff 0.38689 0.287076 -0.126502 -0.172863 delta_work 0.34060 0.259946 -0.325716 -0.170717 delta_school 0.27846 0.178215 -0.057222 0.008815 delta_shopping 0.42209 0.285943 -0.169942 -0.143494 delta_privBusiness 0.42770 0.249832 -0.125687 -0.134200 delta_petrol 0.31321 0.228575 -0.136432 -0.140021 delta_leisure 0.37288 0.252962 -0.172302 -0.133126 delta_vacation 0.19817 0.122067 -0.019297 -0.066195 delta_exercise 0.36577 0.233826 -0.133750 -0.107383 delta_travel 0.16917 0.264456 -0.149837 -0.120008 delta_other 0.41247 0.170963 -0.165094 -0.083557 gamma_shopping gamma_privBusiness gamma_petrol gamma_leisure alpha_base 0.064032 0.099352 0.147604 0.057196 gamma_dropOff 0.062390 0.017477 0.091682 0.019168 gamma_work -0.079394 0.021096 -0.067918 0.073479 gamma_school -0.037403 0.023453 -0.103472 0.061612 gamma_shopping 1.000000 0.059315 0.059890 0.133297 gamma_privBusiness 0.059315 1.000000 0.018226 -0.030889 gamma_petrol 0.059890 0.018226 1.000000 0.034672 gamma_leisure 0.133297 -0.030889 0.034672 1.000000 gamma_vacation 0.043923 0.051306 0.002568 9.611e-05 gamma_exercise -0.016338 -0.058457 0.075155 -0.010948 gamma_home 0.109427 0.033750 0.191940 0.163487 gamma_travel 0.033198 0.091459 -0.029986 -0.010566 gamma_other 0.120208 0.133008 0.047222 0.008460 delta_dropOff -0.006640 -0.010645 0.166259 0.092246 delta_work 0.125644 -6.7894e-04 0.243072 0.153470 delta_school 0.118951 0.059159 0.140449 0.102834 delta_shopping 0.040496 0.006481 0.151022 0.099325 delta_privBusiness 0.071827 0.022214 0.172728 0.110019 delta_petrol 0.044093 0.026948 0.347102 0.003812 delta_leisure 0.090224 0.004651 0.171984 0.053210 delta_vacation 0.067559 -0.010173 0.086328 0.024799 delta_exercise 0.055365 0.012801 0.147228 0.127829 delta_travel 0.070663 -0.018443 0.205829 0.132790 delta_other 0.014306 0.046597 0.186728 0.117531 gamma_vacation gamma_exercise gamma_home gamma_travel alpha_base 0.027037 0.026441 0.49364 0.51093 gamma_dropOff -0.008242 0.046204 0.25973 -0.01168 gamma_work -0.003136 -0.103389 -0.17528 -0.11200 gamma_school -0.017115 0.023204 -0.15257 -0.04439 gamma_shopping 0.043923 -0.016338 0.10943 0.03320 gamma_privBusiness 0.051306 -0.058457 0.03375 0.09146 gamma_petrol 0.002568 0.075155 0.19194 -0.02999 gamma_leisure 9.611e-05 -0.010948 0.16349 -0.01057 gamma_vacation 1.000000 0.016588 -0.02167 0.03552 gamma_exercise 0.016588 1.000000 0.10111 0.03839 gamma_home -0.021672 0.101115 1.00000 0.09408 gamma_travel 0.035520 0.038386 0.09408 1.00000 gamma_other 0.027272 0.003930 0.16597 0.08304 delta_dropOff -0.025934 0.048112 0.84456 -0.05815 delta_work -0.019723 0.124631 0.92006 -0.01276 delta_school -0.082362 0.131623 0.65129 -0.02869 delta_shopping -0.036997 0.088505 0.92733 -0.03815 delta_privBusiness -0.040266 0.077828 0.90344 -0.03617 delta_petrol -0.002295 0.051734 0.66326 -0.04211 delta_leisure -0.054940 0.083070 0.92665 -0.02923 delta_vacation 0.034495 0.060989 0.45507 0.07275 delta_exercise -0.021264 0.139677 0.84558 -0.03928 delta_travel -0.052409 0.101904 0.85429 -0.36462 delta_other -0.013998 0.049106 0.71946 0.06730 gamma_other delta_dropOff delta_work delta_school alpha_base 0.120319 0.386889 0.34060 0.278460 gamma_dropOff 0.054722 0.287076 0.25995 0.178215 gamma_work -0.044298 -0.126502 -0.32572 -0.057222 gamma_school 0.010746 -0.172863 -0.17072 0.008815 gamma_shopping 0.120208 -0.006640 0.12564 0.118951 gamma_privBusiness 0.133008 -0.010645 -6.7894e-04 0.059159 gamma_petrol 0.047222 0.166259 0.24307 0.140449 gamma_leisure 0.008460 0.092246 0.15347 0.102834 gamma_vacation 0.027272 -0.025934 -0.01972 -0.082362 gamma_exercise 0.003930 0.048112 0.12463 0.131623 gamma_home 0.165974 0.844565 0.92006 0.651291 gamma_travel 0.083045 -0.058145 -0.01276 -0.028689 gamma_other 1.000000 0.057216 0.14509 0.118947 delta_dropOff 0.057216 1.000000 0.79904 0.545152 delta_work 0.145092 0.799044 1.00000 0.563204 delta_school 0.118947 0.545152 0.56320 1.000000 delta_shopping 0.128258 0.845100 0.86589 0.593635 delta_privBusiness 0.157608 0.813978 0.82662 0.590354 delta_petrol 0.141974 0.638006 0.66463 0.418962 delta_leisure 0.121720 0.825086 0.87990 0.620936 delta_vacation 0.098083 0.363214 0.39850 0.305460 delta_exercise 0.085474 0.757605 0.78931 0.574578 delta_travel 0.103099 0.827424 0.88202 0.602407 delta_other 0.147317 0.667448 0.69749 0.446025 delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.422088 0.42770 0.313210 0.372884 gamma_dropOff 0.285943 0.24983 0.228575 0.252962 gamma_work -0.169942 -0.12569 -0.136432 -0.172302 gamma_school -0.143494 -0.13420 -0.140021 -0.133126 gamma_shopping 0.040496 0.07183 0.044093 0.090224 gamma_privBusiness 0.006481 0.02221 0.026948 0.004651 gamma_petrol 0.151022 0.17273 0.347102 0.171984 gamma_leisure 0.099325 0.11002 0.003812 0.053210 gamma_vacation -0.036997 -0.04027 -0.002295 -0.054940 gamma_exercise 0.088505 0.07783 0.051734 0.083070 gamma_home 0.927330 0.90344 0.663260 0.926648 gamma_travel -0.038147 -0.03617 -0.042111 -0.029231 gamma_other 0.128258 0.15761 0.141974 0.121720 delta_dropOff 0.845100 0.81398 0.638006 0.825086 delta_work 0.865890 0.82662 0.664629 0.879902 delta_school 0.593635 0.59035 0.418962 0.620936 delta_shopping 1.000000 0.87486 0.678704 0.911199 delta_privBusiness 0.874863 1.00000 0.621587 0.889348 delta_petrol 0.678704 0.62159 1.000000 0.654950 delta_leisure 0.911199 0.88935 0.654950 1.000000 delta_vacation 0.426234 0.40264 0.296084 0.475119 delta_exercise 0.823341 0.79823 0.595613 0.806344 delta_travel 0.884001 0.85332 0.652241 0.891980 delta_other 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) }