Model run using Apollo for R, version 0.2.3 on Darwin by stephane.hess www.ApolloChoiceModelling.com Model name : Apollo_example_11 Model description : MDCEV model on time use data, alpha-gamma profile, no outside good and constants only in utilities Model run at : 2021-02-04 17:46:15 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(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) : 00:01:12.61 pre-estimation : 00:00:0.94 estimation : 00:00:48.96 post-estimation : 00:00:22.71 Iterations : 88 Min abs eigenvalue of Hessian : 0.000487 Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_base -14.68667 45.33330 -0.3240 0.05890 -249.3420 gamma_dropOff 0.45377 0.04495 10.0954 0.07941 5.7142 gamma_work 6.91949 0.39914 17.3362 0.30642 22.5815 gamma_school 3.12853 0.58315 5.3649 0.53841 5.8107 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 3.4017 gamma_leisure 1.82733 0.10868 16.8137 0.10582 17.2688 gamma_vacation 1.55885 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 11.4572 0.40706 6.5447 gamma_travel 0.20166 0.01072 18.8168 0.01227 16.4362 gamma_other 1.66111 0.49189 3.3770 0.80138 2.0728 delta_dropOff -3.57834 0.08836 -40.4976 0.15790 -22.6627 delta_work -2.35205 0.07961 -29.5446 0.13405 -17.5466 delta_school -5.19981 0.13038 -39.8817 0.23359 -22.2607 delta_shopping -2.76149 0.08102 -34.0820 0.13923 -19.8347 delta_privBusiness -3.23576 0.08450 -38.2939 0.14438 -22.4111 delta_petrol -5.45222 0.14279 -38.1843 0.20658 -26.3934 delta_leisure -2.62775 0.08046 -32.6588 0.14134 -18.5921 delta_vacation -6.60976 0.22990 -28.7510 0.27378 -24.1425 delta_exercise -3.52953 0.08758 -40.3028 0.15578 -22.6564 delta_home 0.00000 NA NA NA NA delta_travel -0.07434 0.08621 -0.8624 0.14176 -0.5244 delta_other -5.62269 0.15198 -36.9962 0.20700 -27.1625 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 2055.108456 -7.4516e-04 -0.007798 -0.003388 -5.7148e-04 gamma_dropOff -7.4516e-04 0.002020 -4.279e-05 -6.005e-06 6.953e-08 gamma_work -0.007798 -4.279e-05 0.159309 -3.4633e-04 -4.645e-05 gamma_school -0.003388 -6.005e-06 -3.4633e-04 0.340062 -3.500e-06 gamma_shopping -5.7148e-04 6.953e-08 -4.645e-05 -3.500e-06 7.1741e-04 gamma_privBusiness -9.1804e-04 -2.450e-07 -7.014e-05 -1.311e-05 1.755e-07 gamma_petrol -1.5310e-04 -1.189e-08 -2.157e-06 -4.655e-07 1.315e-08 gamma_leisure -0.002287 -2.112e-06 -5.0692e-04 -9.246e-05 -1.293e-06 gamma_vacation -0.001871 1.964e-07 1.772e-05 1.142e-05 -1.466e-06 gamma_exercise -0.003766 -7.491e-06 -9.5945e-04 -2.1807e-04 -5.577e-06 gamma_home -0.004673 -3.351e-05 -0.007947 -0.001407 -1.518e-05 gamma_travel -3.1584e-04 6.224e-07 3.951e-05 -2.327e-06 1.244e-06 gamma_other -0.003219 -3.724e-06 -8.0723e-04 -1.3423e-04 -1.931e-06 delta_dropOff 8.334e-05 -1.6397e-04 -0.002427 -4.1999e-04 -4.242e-06 delta_work 6.055e-05 -8.446e-06 -0.006127 -4.1094e-04 -1.257e-06 delta_school 7.006e-05 -9.641e-06 -0.002431 -0.001309 -3.669e-06 delta_shopping 7.079e-05 -1.015e-05 -0.002381 -4.1892e-04 -1.5923e-04 delta_privBusiness 7.959e-05 -9.866e-06 -0.002399 -4.1983e-04 -4.184e-06 delta_petrol 7.157e-05 -9.723e-06 -0.002439 -4.2039e-04 -3.926e-06 delta_leisure 6.422e-05 -9.721e-06 -0.002354 -4.1564e-04 -3.849e-06 delta_vacation 7.073e-05 -9.693e-06 -0.002437 -4.2043e-04 -3.753e-06 delta_exercise 7.651e-05 -9.599e-06 -0.002416 -4.1829e-04 -3.546e-06 delta_travel -2.2390e-04 -1.352e-05 -0.002672 -4.1217e-04 -1.022e-05 delta_other 7.334e-05 -9.677e-06 -0.002440 -4.2051e-04 -3.729e-06 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -9.1804e-04 -1.5310e-04 -0.002287 -0.001871 -0.003766 gamma_dropOff -2.450e-07 -1.189e-08 -2.112e-06 1.964e-07 -7.491e-06 gamma_work -7.014e-05 -2.157e-06 -5.0692e-04 1.772e-05 -9.5945e-04 gamma_school -1.311e-05 -4.655e-07 -9.246e-05 1.142e-05 -2.1807e-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 -8.145e-05 gamma_vacation -1.395e-06 1.361e-08 -7.296e-05 0.351024 -1.105e-05 gamma_exercise -1.165e-05 -3.573e-07 -8.145e-05 -1.105e-05 0.068791 gamma_home -6.417e-05 -1.989e-06 -5.3920e-04 -4.0004e-04 -0.001391 gamma_travel 8.631e-07 2.238e-08 6.378e-06 -7.082e-07 1.037e-06 gamma_other -7.614e-06 -6.631e-08 -5.723e-05 -1.8845e-04 -5.546e-05 delta_dropOff -1.898e-05 -6.099e-07 -1.6426e-04 -1.1988e-04 -4.2104e-04 delta_work -1.568e-05 -5.274e-07 -1.4319e-04 -1.2005e-04 -3.9536e-04 delta_school -1.875e-05 -5.908e-07 -1.6357e-04 -1.1982e-04 -4.2034e-04 delta_shopping -1.960e-05 -6.756e-07 -1.6575e-04 -1.1956e-04 -4.1899e-04 delta_privBusiness -2.2254e-04 -5.961e-07 -1.6396e-04 -1.1965e-04 -4.1878e-04 delta_petrol -1.875e-05 -3.687e-05 -1.6407e-04 -1.1984e-04 -4.2084e-04 delta_leisure -1.874e-05 -6.044e-07 -9.0586e-04 -1.1593e-04 -4.1477e-04 delta_vacation -1.877e-05 -5.952e-07 -1.6427e-04 -5.8781e-04 -4.2075e-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 -4.3240e-04 delta_other -1.890e-05 -5.943e-07 -1.6372e-04 -1.1954e-04 -4.2094e-04 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base -0.004673 -3.1584e-04 -0.003219 8.334e-05 6.055e-05 gamma_dropOff -3.351e-05 6.224e-07 -3.724e-06 -1.6397e-04 -8.446e-06 gamma_work -0.007947 3.951e-05 -8.0723e-04 -0.002427 -0.006127 gamma_school -0.001407 -2.327e-06 -1.3423e-04 -4.1999e-04 -4.1094e-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 -6.631e-08 -6.099e-07 -5.274e-07 gamma_leisure -5.3920e-04 6.378e-06 -5.723e-05 -1.6426e-04 -1.4319e-04 gamma_vacation -4.0004e-04 -7.082e-07 -1.8845e-04 -1.1988e-04 -1.2005e-04 gamma_exercise -0.001391 1.037e-06 -5.546e-05 -4.2104e-04 -3.9536e-04 gamma_home 0.054066 -2.149e-05 -5.3006e-04 0.016215 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 -1.5893e-04 -1.4051e-04 delta_dropOff 0.016215 -1.058e-05 -1.5893e-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 0.005240 0.005296 delta_shopping 0.016197 -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 -9.656e-06 -1.5910e-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 0.016244 -1.028e-05 -1.5853e-04 0.005259 0.005314 delta_travel 0.016297 -4.3676e-04 -1.5574e-04 0.005298 0.005369 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 7.006e-05 7.079e-05 7.959e-05 7.157e-05 6.422e-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 -4.1892e-04 -4.1983e-04 -4.2039e-04 -4.1564e-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 -5.908e-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 -1.1965e-04 -1.1984e-04 -1.1593e-04 gamma_exercise -4.2034e-04 -4.1899e-04 -4.1878e-04 -4.2084e-04 -4.1477e-04 gamma_home 0.016190 0.016197 0.016207 0.016193 0.016259 gamma_travel -9.571e-06 -1.200e-05 -1.067e-05 -9.656e-06 -1.239e-05 gamma_other -1.5874e-04 -1.5889e-04 -1.5895e-04 -1.5910e-04 -1.5657e-04 delta_dropOff 0.005240 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 0.005237 0.005233 0.005255 delta_shopping 0.005234 0.006565 0.005241 0.005236 0.005258 delta_privBusiness 0.005237 0.005241 0.007140 0.005239 0.005261 delta_petrol 0.005233 0.005236 0.005239 0.020388 0.005256 delta_leisure 0.005255 0.005258 0.005261 0.005256 0.006474 delta_vacation 0.005232 0.005234 0.005237 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 0.005238 0.005242 0.005237 0.005260 delta_vacation delta_exercise delta_travel delta_other alpha_base 7.073e-05 7.651e-05 -2.2390e-04 7.334e-05 gamma_dropOff -9.693e-06 -9.599e-06 -1.352e-05 -9.677e-06 gamma_work -0.002437 -0.002416 -0.002672 -0.002440 gamma_school -4.2043e-04 -4.1829e-04 -4.1217e-04 -4.2051e-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 -1.6156e-04 -2.0487e-04 -1.6372e-04 gamma_vacation -5.8781e-04 -1.1985e-04 -1.1798e-04 -1.1954e-04 gamma_exercise -4.2075e-04 -0.001414 -4.3240e-04 -4.2094e-04 gamma_home 0.016190 0.016244 0.016297 0.016203 gamma_travel -9.522e-06 -1.028e-05 -4.3676e-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 0.005369 0.005301 delta_school 0.005232 0.005250 0.005283 0.005236 delta_shopping 0.005234 0.005252 0.005298 0.005238 delta_privBusiness 0.005237 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 0.023098 Robust covariance matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 0.003469 6.7608e-04 -0.003061 -0.005232 1.1452e-04 gamma_dropOff 6.7608e-04 0.006306 -0.002267 -0.004751 1.5046e-04 gamma_work -0.003061 -0.002267 0.093895 0.028214 -7.3879e-04 gamma_school -0.005232 -0.004751 0.028214 0.289883 -6.1154e-04 gamma_shopping 1.1452e-04 1.5046e-04 -7.3879e-04 -6.1154e-04 9.2221e-04 gamma_privBusiness 3.8917e-04 9.230e-05 4.2989e-04 8.3979e-04 1.1979e-04 gamma_petrol 2.9884e-04 2.5027e-04 -7.1537e-04 -0.001915 6.252e-05 gamma_leisure 3.5637e-04 1.6108e-04 0.002383 0.003510 4.2834e-04 gamma_vacation 6.9688e-04 -2.8647e-04 -4.2055e-04 -0.004033 5.8380e-04 gamma_exercise 5.2371e-04 0.001235 -0.010660 0.004204 -1.6695e-04 gamma_home 0.011833 0.008396 -0.021862 -0.033437 0.001353 gamma_travel 3.6929e-04 -1.138e-05 -4.2108e-04 -2.9323e-04 1.237e-05 gamma_other 0.005678 0.003482 -0.010878 0.004637 0.002925 delta_dropOff 0.003597 0.003600 -0.006120 -0.014695 -3.184e-05 delta_work 0.002688 0.002767 -0.013379 -0.012321 5.1146e-04 delta_school 0.003830 0.003306 -0.004096 0.001110 8.4378e-04 delta_shopping 0.003460 0.003161 -0.007250 -0.010756 1.7121e-04 delta_privBusiness 0.003636 0.002864 -0.005560 -0.010432 3.1493e-04 delta_petrol 0.003810 0.003750 -0.008636 -0.015573 2.7661e-04 delta_leisure 0.003103 0.002839 -0.007462 -0.010130 3.8725e-04 delta_vacation 0.003195 0.002654 -0.001619 -0.009757 5.6169e-04 delta_exercise 0.003355 0.002893 -0.006384 -0.009007 2.6192e-04 delta_travel 0.001411 0.002977 -0.006509 -0.009160 3.0420e-04 delta_other 0.005028 0.002810 -0.010472 -0.009313 8.994e-05 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 3.8917e-04 2.9884e-04 3.5637e-04 6.9688e-04 5.2371e-04 gamma_dropOff 9.230e-05 2.5027e-04 1.6108e-04 -2.8647e-04 0.001235 gamma_work 4.2989e-04 -7.1537e-04 0.002383 -4.2055e-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 4.460e-06 -3.8980e-04 gamma_vacation 0.001493 3.864e-05 4.460e-06 0.191566 0.002443 gamma_exercise -0.001308 8.6928e-04 -3.8980e-04 0.002443 0.113220 gamma_home 9.1364e-04 0.002686 0.007042 -0.003861 0.013849 gamma_travel 7.463e-05 -1.265e-05 -1.372e-05 1.9075e-04 1.5848e-04 gamma_other 0.007089 0.001301 7.1741e-04 0.009566 0.001060 delta_dropOff -1.1178e-04 9.0238e-04 0.001541 -0.001792 0.002556 delta_work -6.057e-06 0.001120 0.002177 -0.001157 0.005621 delta_school 9.1902e-04 0.001128 0.002542 -0.008420 0.010345 delta_shopping 6.001e-05 7.2275e-04 0.001463 -0.002254 0.004146 delta_privBusiness 2.1330e-04 8.5725e-04 0.001681 -0.002545 0.003781 delta_petrol 3.7022e-04 0.002465 8.335e-05 -2.0750e-04 0.003596 delta_leisure 4.371e-05 8.3556e-04 7.9577e-04 -0.003399 0.003951 delta_vacation -1.8522e-04 8.1242e-04 7.1840e-04 0.004133 0.005618 delta_exercise 1.3261e-04 7.8840e-04 0.002107 -0.001450 0.007322 delta_travel -1.7389e-04 0.001003 0.001992 -0.003252 0.004861 delta_other 6.4148e-04 0.001329 0.002574 -0.001268 0.003420 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.011833 3.6929e-04 0.005678 0.003597 0.002688 gamma_dropOff 0.008396 -1.138e-05 0.003482 0.003600 0.002767 gamma_work -0.021862 -4.2108e-04 -0.010878 -0.006120 -0.013379 gamma_school -0.033437 -2.9323e-04 0.004637 -0.014695 -0.012321 gamma_shopping 0.001353 1.237e-05 0.002925 -3.184e-05 5.1146e-04 gamma_privBusiness 9.1364e-04 7.463e-05 0.007089 -1.1178e-04 -6.057e-06 gamma_petrol 0.002686 -1.265e-05 0.001301 9.0238e-04 0.001120 gamma_leisure 0.007042 -1.372e-05 7.1741e-04 0.001541 0.002177 gamma_vacation -0.003861 1.9075e-04 0.009566 -0.001792 -0.001157 gamma_exercise 0.013849 1.5848e-04 0.001060 0.002556 0.005621 gamma_home 0.165694 4.6988e-04 0.054142 0.054282 0.050202 gamma_travel 4.6988e-04 1.5054e-04 8.1654e-04 -1.1265e-04 -2.100e-05 gamma_other 0.054142 8.1654e-04 0.642209 0.007240 0.015586 delta_dropOff 0.054282 -1.1265e-04 0.007240 0.024931 0.016912 delta_work 0.050202 -2.100e-05 0.015586 0.016912 0.017968 delta_school 0.061926 -8.222e-05 0.022266 0.020106 0.017635 delta_shopping 0.052554 -6.517e-05 0.014310 0.018578 0.016160 delta_privBusiness 0.053096 -6.407e-05 0.018236 0.018556 0.015998 delta_petrol 0.055772 -1.0673e-04 0.023503 0.020810 0.018404 delta_leisure 0.053312 -5.069e-05 0.013786 0.018413 0.016670 delta_vacation 0.050714 2.4438e-04 0.021519 0.015701 0.014624 delta_exercise 0.053621 -7.509e-05 0.010670 0.018635 0.016482 delta_travel 0.049297 -6.3421e-04 0.011713 0.018521 0.016761 delta_other 0.060623 1.7093e-04 0.024438 0.021816 0.019354 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.003830 0.003460 0.003636 0.003810 0.003103 gamma_dropOff 0.003306 0.003161 0.002864 0.003750 0.002839 gamma_work -0.004096 -0.007250 -0.005560 -0.008636 -0.007462 gamma_school 0.001110 -0.010756 -0.010432 -0.015573 -0.010130 gamma_shopping 8.4378e-04 1.7121e-04 3.1493e-04 2.7661e-04 3.8725e-04 gamma_privBusiness 9.1902e-04 6.001e-05 2.1330e-04 3.7022e-04 4.371e-05 gamma_petrol 0.001128 7.2275e-04 8.5725e-04 0.002465 8.3556e-04 gamma_leisure 0.002542 0.001463 0.001681 8.335e-05 7.9577e-04 gamma_vacation -0.008420 -0.002254 -0.002545 -2.0750e-04 -0.003399 gamma_exercise 0.010345 0.004146 0.003781 0.003596 0.003951 gamma_home 0.061926 0.052554 0.053096 0.055772 0.053312 gamma_travel -8.222e-05 -6.517e-05 -6.407e-05 -1.0673e-04 -5.069e-05 gamma_other 0.022266 0.014310 0.018236 0.023503 0.013786 delta_dropOff 0.020106 0.018578 0.018556 0.020810 0.018413 delta_work 0.017635 0.016160 0.015998 0.018404 0.016670 delta_school 0.054563 0.019306 0.019910 0.020216 0.020500 delta_shopping 0.019306 0.019384 0.017586 0.019520 0.017930 delta_privBusiness 0.019910 0.017586 0.020846 0.018539 0.018148 delta_petrol 0.020216 0.019520 0.018539 0.042673 0.019122 delta_leisure 0.020500 0.017930 0.018148 0.019122 0.019976 delta_vacation 0.019534 0.016246 0.015916 0.016745 0.018385 delta_exercise 0.020908 0.017857 0.017954 0.019168 0.017754 delta_travel 0.019948 0.017447 0.017466 0.019101 0.017872 delta_other 0.021567 0.020322 0.020769 0.023558 0.020282 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.003195 0.003355 0.001411 0.005028 gamma_dropOff 0.002654 0.002893 0.002977 0.002810 gamma_work -0.001619 -0.006384 -0.006509 -0.010472 gamma_school -0.009757 -0.009007 -0.009160 -0.009313 gamma_shopping 5.6169e-04 2.6192e-04 3.0420e-04 8.994e-05 gamma_privBusiness -1.8522e-04 1.3261e-04 -1.7389e-04 6.4148e-04 gamma_petrol 8.1242e-04 7.8840e-04 0.001003 0.001329 gamma_leisure 7.1840e-04 0.002107 0.001992 0.002574 gamma_vacation 0.004133 -0.001450 -0.003252 -0.001268 gamma_exercise 0.005618 0.007322 0.004861 0.003420 gamma_home 0.050714 0.053621 0.049297 0.060623 gamma_travel 2.4438e-04 -7.509e-05 -6.3421e-04 1.7093e-04 gamma_other 0.021519 0.010670 0.011713 0.024438 delta_dropOff 0.015701 0.018635 0.018521 0.021816 delta_work 0.014624 0.016482 0.016761 0.019354 delta_school 0.019534 0.020908 0.019948 0.021567 delta_shopping 0.016246 0.017857 0.017447 0.020322 delta_privBusiness 0.015916 0.017954 0.017466 0.020769 delta_petrol 0.016745 0.019168 0.019101 0.023558 delta_leisure 0.018385 0.017754 0.017872 0.020282 delta_vacation 0.074956 0.015217 0.015758 0.018539 delta_exercise 0.015217 0.024269 0.018119 0.020044 delta_travel 0.015758 0.018119 0.020097 0.019578 delta_other 0.018539 0.020044 0.019578 0.042850 Classical correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.000 -3.6569e-04 -4.3094e-04 -1.2817e-04 -4.7065e-04 gamma_dropOff -3.6569e-04 1.000000 -0.002385 -2.2910e-04 5.776e-05 gamma_work -4.3094e-04 -0.002385 1.000000 -0.001488 -0.004345 gamma_school -1.2817e-04 -2.2910e-04 -0.001488 1.000000 -2.2407e-04 gamma_shopping -4.7065e-04 5.776e-05 -0.004345 -2.2407e-04 1.000000 gamma_privBusiness -4.0605e-04 -1.0928e-04 -0.003524 -4.5072e-04 1.3135e-04 gamma_petrol -1.3415e-04 -1.051e-05 -2.1467e-04 -3.171e-05 1.950e-05 gamma_leisure -4.6418e-04 -4.3240e-04 -0.011686 -0.001459 -4.4408e-04 gamma_vacation -6.966e-05 7.376e-06 7.492e-05 3.305e-05 -9.238e-05 gamma_exercise -3.1676e-04 -6.3544e-04 -0.009165 -0.001426 -7.9382e-04 gamma_home -4.4335e-04 -0.003206 -0.085632 -0.010374 -0.002437 gamma_travel -6.5008e-04 0.001292 0.009235 -3.7237e-04 0.004334 gamma_other -1.4434e-04 -1.6845e-04 -0.004112 -4.6796e-04 -1.4654e-04 delta_dropOff 2.080e-05 -0.041286 -0.068824 -0.008151 -0.001793 delta_work 1.678e-05 -0.002360 -0.192831 -0.008852 -5.8940e-04 delta_school 1.185e-05 -0.001645 -0.046721 -0.017212 -0.001051 delta_shopping 1.927e-05 -0.002786 -0.073617 -0.008866 -0.073372 delta_privBusiness 2.078e-05 -0.002598 -0.071127 -0.008520 -0.001849 delta_petrol 1.106e-05 -0.001515 -0.042801 -0.005049 -0.001026 delta_leisure 1.761e-05 -0.002688 -0.073311 -0.008858 -0.001786 delta_vacation 6.786e-06 -9.3800e-04 -0.026563 -0.003136 -6.0943e-04 delta_exercise 1.927e-05 -0.002439 -0.069124 -0.008191 -0.001512 delta_travel -5.729e-05 -0.003490 -0.077663 -0.008199 -0.004425 delta_other 1.064e-05 -0.001417 -0.040220 -0.004745 -9.1610e-04 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base -4.0605e-04 -1.3415e-04 -4.6418e-04 -6.966e-05 -3.1676e-04 gamma_dropOff -1.0928e-04 -1.051e-05 -4.3240e-04 7.376e-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 -4.4408e-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 9.125e-07 -5.411e-05 gamma_leisure -8.4366e-04 -5.121e-05 1.000000 -0.001133 -0.002857 gamma_vacation -4.722e-05 9.125e-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 -3.3981e-04 -0.021337 -0.002904 -0.022812 gamma_travel 0.001615 8.295e-05 0.005476 -1.1154e-04 3.6874e-04 gamma_other -3.1036e-04 -5.355e-06 -0.001070 -6.4662e-04 -4.2984e-04 delta_dropOff -0.004307 -2.7418e-04 -0.017105 -0.002290 -0.018168 delta_work -0.003950 -2.6314e-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 -0.018822 -0.002491 -0.019716 delta_privBusiness -0.052806 -2.8024e-04 -0.017854 -0.002390 -0.018896 delta_petrol -0.002633 -0.01026 -0.010573 -0.001417 -0.011237 delta_leisure -0.004670 -2.9838e-04 -0.103591 -0.002432 -0.019654 delta_vacation -0.001637 -1.0285e-04 -0.006575 -0.004316 -0.006978 delta_exercise -0.004235 -2.6848e-04 -0.016974 -0.002310 -0.061575 delta_travel -0.005522 -3.3820e-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 -4.4335e-04 -6.5008e-04 -1.4434e-04 2.080e-05 1.678e-05 gamma_dropOff -0.003206 0.001292 -1.6845e-04 -0.041286 -0.002360 gamma_work -0.085632 0.009235 -0.004112 -0.068824 -0.192831 gamma_school -0.010374 -3.7237e-04 -4.6796e-04 -0.008151 -0.008852 gamma_shopping -0.002437 0.004334 -1.4654e-04 -0.001793 -5.8940e-04 gamma_privBusiness -0.005533 0.001615 -3.1036e-04 -0.004307 -0.003950 gamma_petrol -3.3981e-04 8.295e-05 -5.355e-06 -2.7418e-04 -2.6314e-04 gamma_leisure -0.021337 0.005476 -0.001070 -0.017105 -0.016550 gamma_vacation -0.002904 -1.1154e-04 -6.4662e-04 -0.002290 -0.002545 gamma_exercise -0.022812 3.6874e-04 -4.2984e-04 -0.018168 -0.018935 gamma_home 1.000000 -0.008625 -0.004634 0.789245 0.885373 gamma_travel -0.008625 1.000000 -2.2118e-04 -0.011169 -0.015918 gamma_other -0.004634 -2.2118e-04 1.000000 -0.003657 -0.003588 delta_dropOff 0.789245 -0.011169 -0.003657 1.000000 0.754104 delta_work 0.885373 -0.015918 -0.003588 0.754104 1.000000 delta_school 0.534028 -0.006850 -0.002475 0.454881 0.510241 delta_shopping 0.859740 -0.013817 -0.003987 0.732442 0.820767 delta_privBusiness 0.824874 -0.011780 -0.003824 0.702703 0.787780 delta_petrol 0.487731 -0.006310 -0.002265 0.415475 0.466073 delta_leisure 0.869064 -0.014368 -0.003956 0.740415 0.829605 delta_vacation 0.302860 -0.003865 -0.001405 0.257984 0.289400 delta_exercise 0.797744 -0.010951 -0.003680 0.679636 0.762198 delta_travel 0.812992 -0.472720 -0.003673 0.695466 0.782357 delta_other 0.458511 -0.005876 -0.009008 0.390577 0.438151 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 1.185e-05 1.927e-05 2.078e-05 1.106e-05 1.761e-05 gamma_dropOff -0.001645 -0.002786 -0.002598 -0.001515 -0.002688 gamma_work -0.046721 -0.073617 -0.071127 -0.042801 -0.073311 gamma_school -0.017212 -0.008866 -0.008520 -0.005049 -0.008858 gamma_shopping -0.001051 -0.073372 -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 -2.8024e-04 -0.010256 -2.9838e-04 gamma_leisure -0.011543 -0.018822 -0.017854 -0.010573 -0.103591 gamma_vacation -0.001551 -0.002491 -0.002390 -0.001417 -0.002432 gamma_exercise -0.012292 -0.019716 -0.018896 -0.011237 -0.019654 gamma_home 0.534028 0.859740 0.824874 0.487731 0.869064 gamma_travel -0.006850 -0.013817 -0.011780 -0.006310 -0.014368 gamma_other -0.002475 -0.003987 -0.003824 -0.002265 -0.003956 delta_dropOff 0.454881 0.732442 0.702703 0.415475 0.740415 delta_work 0.510241 0.820767 0.787780 0.466073 0.829605 delta_school 1.000000 0.495427 0.475401 0.281080 0.500929 delta_shopping 0.495427 1.000000 0.765438 0.452555 0.806524 delta_privBusiness 0.475401 0.765438 1.000000 0.434199 0.773802 delta_petrol 0.281080 0.452555 0.434199 1.000000 0.457524 delta_leisure 0.500929 0.806524 0.773802 0.457524 1.000000 delta_vacation 0.174537 0.280989 0.269614 0.159412 0.284108 delta_exercise 0.459818 0.740205 0.710236 0.419966 0.748329 delta_travel 0.470012 0.758493 0.726854 0.429326 0.767492 delta_other 0.264244 0.425399 0.408199 0.241344 0.430110 delta_vacation delta_exercise delta_travel delta_other alpha_base 6.786e-06 1.927e-05 -5.729e-05 1.064e-05 gamma_dropOff -9.3800e-04 -0.002439 -0.003490 -0.001417 gamma_work -0.026563 -0.069124 -0.077663 -0.040220 gamma_school -0.003136 -0.008191 -0.008199 -0.004745 gamma_shopping -6.0943e-04 -0.001512 -0.004425 -9.1610e-04 gamma_privBusiness -0.001637 -0.004235 -0.005522 -0.002494 gamma_petrol -1.0285e-04 -2.6848e-04 -3.3820e-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 -0.061575 -0.019123 -0.010560 gamma_home 0.302860 0.797744 0.812992 0.458511 gamma_travel -0.003865 -0.010951 -0.472720 -0.005876 gamma_other -0.001405 -0.003680 -0.003673 -0.009008 delta_dropOff 0.257984 0.679636 0.695466 0.390577 delta_work 0.289400 0.762198 0.782357 0.438151 delta_school 0.174537 0.459818 0.470012 0.264244 delta_shopping 0.280989 0.740205 0.758493 0.425399 delta_privBusiness 0.269614 0.710236 0.726854 0.408199 delta_petrol 0.159412 0.419966 0.429326 0.241344 delta_leisure 0.284108 0.748329 0.767492 0.430110 delta_vacation 1.000000 0.260778 0.266569 0.149863 delta_exercise 0.260778 1.000000 0.702769 0.394807 delta_travel 0.266569 0.702769 1.000000 0.403587 delta_other 0.149863 0.394807 0.403587 1.000000 Robust correlation matrix: alpha_base gamma_dropOff gamma_work gamma_school gamma_shopping alpha_base 1.00000 0.144538 -0.169604 -0.164979 0.064021 gamma_dropOff 0.14454 1.000000 -0.093178 -0.111122 0.062391 gamma_work -0.16960 -0.093178 1.000000 0.171015 -0.079393 gamma_school -0.16498 -0.111122 0.171015 1.000000 -0.037402 gamma_shopping 0.06402 0.062391 -0.079393 -0.037402 1.000000 gamma_privBusiness 0.09935 0.017477 0.021095 0.023454 0.059316 gamma_petrol 0.14759 0.091682 -0.067916 -0.103471 0.059890 gamma_leisure 0.05718 0.019169 0.073480 0.061612 0.133297 gamma_vacation 0.02703 -0.008242 -0.003136 -0.017115 0.043923 gamma_exercise 0.02642 0.046204 -0.103389 0.023205 -0.016338 gamma_home 0.49352 0.259726 -0.175272 -0.152570 0.109427 gamma_travel 0.51100 -0.011677 -0.111999 -0.044388 0.033197 gamma_other 0.12029 0.054723 -0.044297 0.010746 0.120208 delta_dropOff 0.38677 0.287075 -0.126499 -0.172862 -0.006641 delta_work 0.34047 0.259946 -0.325714 -0.170716 0.125644 delta_school 0.27837 0.178215 -0.057219 0.008822 0.118951 delta_shopping 0.42196 0.285943 -0.169938 -0.143492 0.040495 delta_privBusiness 0.42758 0.249832 -0.125683 -0.134199 0.071826 delta_petrol 0.31312 0.228576 -0.136430 -0.140020 0.044093 delta_leisure 0.37275 0.252962 -0.172298 -0.133125 0.090224 delta_vacation 0.19810 0.122065 -0.019293 -0.066193 0.067558 delta_exercise 0.36564 0.233824 -0.133745 -0.107380 0.055363 delta_travel 0.16902 0.264455 -0.149833 -0.120006 0.070662 delta_other 0.41238 0.170966 -0.165092 -0.083558 0.014307 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_exercise alpha_base 0.099350 0.147595 0.057177 0.027031 0.026424 gamma_dropOff 0.017477 0.091682 0.019169 -0.008242 0.046204 gamma_work 0.021095 -0.067916 0.073480 -0.003136 -0.103389 gamma_school 0.023454 -0.103471 0.061612 -0.017115 0.023205 gamma_shopping 0.059316 0.059890 0.133297 0.043923 -0.016338 gamma_privBusiness 1.000000 0.018226 -0.030888 0.051306 -0.058457 gamma_petrol 0.018226 1.000000 0.034672 0.002569 0.075155 gamma_leisure -0.030888 0.034672 1.000000 9.631e-05 -0.010948 gamma_vacation 0.051306 0.002569 9.631e-05 1.000000 0.016588 gamma_exercise -0.058457 0.075155 -0.010948 0.016588 1.000000 gamma_home 0.033750 0.191940 0.163488 -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 -6.7943e-04 0.243072 0.153470 -0.019723 0.124631 delta_school 0.059160 0.140449 0.102834 -0.082362 0.131623 delta_shopping 0.006481 0.151021 0.099325 -0.036997 0.088505 delta_privBusiness 0.022214 0.172727 0.110019 -0.040266 0.077828 delta_petrol 0.026949 0.347101 0.003813 -0.002295 0.051735 delta_leisure 0.004651 0.171984 0.053208 -0.054941 0.083070 delta_vacation -0.010173 0.086326 0.024797 0.034493 0.060988 delta_exercise 0.012800 0.147226 0.127829 -0.021263 0.139678 delta_travel -0.018444 0.205829 0.132790 -0.052409 0.101904 delta_other 0.046597 0.186729 0.117533 -0.013998 0.049108 gamma_home gamma_travel gamma_other delta_dropOff delta_work alpha_base 0.49352 0.51100 0.120290 0.386772 0.34047 gamma_dropOff 0.25973 -0.01168 0.054723 0.287075 0.25995 gamma_work -0.17527 -0.11200 -0.044297 -0.126499 -0.32571 gamma_school -0.15257 -0.04439 0.010746 -0.172862 -0.17072 gamma_shopping 0.10943 0.03320 0.120208 -0.006641 0.12564 gamma_privBusiness 0.03375 0.09146 0.133008 -0.010645 -6.7943e-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 0.10112 0.03839 0.003930 0.048112 0.12463 gamma_home 1.00000 0.09408 0.165974 0.844563 0.92006 gamma_travel 0.09408 1.00000 0.083045 -0.058146 -0.01277 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 -0.01277 0.145092 0.799040 1.00000 delta_school 0.65129 -0.02869 0.118947 0.545149 0.56320 delta_shopping 0.92733 -0.03815 0.128257 0.845098 0.86589 delta_privBusiness 0.90344 -0.03617 0.157607 0.813975 0.82661 delta_petrol 0.66326 -0.04211 0.141975 0.638008 0.66463 delta_leisure 0.92665 -0.02923 0.121719 0.825083 0.87990 delta_vacation 0.45506 0.07275 0.098081 0.363205 0.39848 delta_exercise 0.84558 -0.03928 0.085471 0.757599 0.78930 delta_travel 0.85429 -0.36462 0.103098 0.827421 0.88202 delta_other 0.71947 0.06730 0.147318 0.667454 0.69749 delta_school delta_shopping delta_privBusiness delta_petrol delta_leisure alpha_base 0.278374 0.421960 0.42758 0.313121 0.372753 gamma_dropOff 0.178215 0.285943 0.24983 0.228576 0.252962 gamma_work -0.057219 -0.169938 -0.12568 -0.136430 -0.172298 gamma_school 0.008822 -0.143492 -0.13420 -0.140020 -0.133125 gamma_shopping 0.118951 0.040495 0.07183 0.044093 0.090224 gamma_privBusiness 0.059160 0.006481 0.02221 0.026949 0.004651 gamma_petrol 0.140449 0.151021 0.17273 0.347101 0.171984 gamma_leisure 0.102834 0.099325 0.11002 0.003813 0.053208 gamma_vacation -0.082362 -0.036997 -0.04027 -0.002295 -0.054941 gamma_exercise 0.131623 0.088505 0.07783 0.051735 0.083070 gamma_home 0.651289 0.927328 0.90344 0.663263 0.926645 gamma_travel -0.028690 -0.038150 -0.03617 -0.042111 -0.029233 gamma_other 0.118947 0.128257 0.15761 0.141975 0.121719 delta_dropOff 0.545149 0.845098 0.81398 0.638008 0.825083 delta_work 0.563199 0.865885 0.82661 0.664630 0.879897 delta_school 1.000000 0.593632 0.59035 0.418963 0.620933 delta_shopping 0.593632 1.000000 0.87486 0.678706 0.911195 delta_privBusiness 0.590351 0.874859 1.00000 0.621589 0.889345 delta_petrol 0.418963 0.678706 0.62159 1.000000 0.654952 delta_leisure 0.620933 0.911195 0.88934 0.654952 1.000000 delta_vacation 0.305453 0.426224 0.40263 0.296079 0.475110 delta_exercise 0.574573 0.823333 0.79823 0.595611 0.806335 delta_travel 0.602404 0.883998 0.85332 0.652242 0.891978 delta_other 0.446030 0.705150 0.69491 0.550908 0.693219 delta_vacation delta_exercise delta_travel delta_other alpha_base 0.19810 0.36564 0.16902 0.41238 gamma_dropOff 0.12206 0.23382 0.26446 0.17097 gamma_work -0.01929 -0.13375 -0.14983 -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 0.45506 0.84558 0.85429 0.71947 gamma_travel 0.07275 -0.03928 -0.36462 0.06730 gamma_other 0.09808 0.08547 0.10310 0.14732 delta_dropOff 0.36321 0.75760 0.82742 0.66745 delta_work 0.39848 0.78930 0.88202 0.69749 delta_school 0.30545 0.57457 0.60240 0.44603 delta_shopping 0.42622 0.82333 0.88400 0.70515 delta_privBusiness 0.40263 0.79823 0.85332 0.69491 delta_petrol 0.29608 0.59561 0.65224 0.55091 delta_leisure 0.47511 0.80634 0.89198 0.69322 delta_vacation 1.00000 0.35679 0.40600 0.32711 delta_exercise 0.35679 1.00000 0.82044 0.62156 delta_travel 0.40600 0.82044 1.00000 0.66715 delta_other 0.32711 0.62156 0.66715 1.00000 20 worst outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 1.788181e-09 7652039 4.106893e-08 6292582 4.390193e-08 1226238 6.551549e-08 6873173 1.040659e-07 2684804 1.497549e-07 2191235 2.442666e-07 3051038 2.605937e-07 8530000 2.828491e-07 2146576 3.516979e-07 5804392 4.033840e-07 9216479 4.701306e-07 4376416 6.485244e-07 1482825 8.088690e-07 9902059 9.757515e-07 9545640 9.938407e-07 7177352 1.138446e-06 1496531 1.202533e-06 6526613 1.205583e-06 8465193 1.219909e-06 Changes in parameter estimates from starting values: Initial Estimate Difference alpha_base 0.000 -14.68667 -14.68667 gamma_dropOff 1.000 0.45377 -0.54623 gamma_work 1.000 6.91949 5.91949 gamma_school 1.000 3.12853 2.12853 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 1.82733 0.82733 gamma_vacation 1.000 1.55885 0.55885 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 -3.57834 -3.57834 delta_work 0.000 -2.35205 -2.35205 delta_school 0.000 -5.19981 -5.19981 delta_shopping 0.000 -2.76149 -2.76149 delta_privBusiness 0.000 -3.23576 -3.23576 delta_petrol 0.000 -5.45222 -5.45222 delta_leisure 0.000 -2.62775 -2.62775 delta_vacation 0.000 -6.60976 -6.60976 delta_exercise 0.000 -3.52953 -3.52953 delta_home 0.000 0.00000 0.00000 delta_travel 0.000 -0.07434 -0.07434 delta_other 0.000 -5.62269 -5.62269 sig 1.000 1.00000 0.00000 Settings and functions used in model definition: apollo_control -------------- Value modelName "Apollo_example_11" modelDescr "MDCEV model on time use data, alpha-gamma profile, no outside good and constants only in utilities" indivID "indivID" debug "FALSE" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" panelData "TRUE" analyticGrad "TRUE" Hessian routines attempted -------------- numerical second derivative of LL (using numDeriv) Scaling used in computing Hessian -------------- 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 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 budget budget = budget/60 ### Define settings for MDCEV model mdcev_settings <- list(alternatives = alternatives, avail = avail, continuousChoice = continuousChoice, V = V, alpha = alpha, gamma = gamma, sigma = sig, cost = cost, budget = budget) ### 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)