Model run by stephane.hess using Apollo 0.3.6 on R 4.5.1 for Darwin. Please acknowledge the use of Apollo by citing Hess & Palma (2019) DOI 10.1016/j.jocm.2019.100170 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 : 2025-09-19 11:49:02.885127 Estimation method : bgw Estimation diagnosis : Relative function convergence Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -2.858721 reciprocal of condition number : 9.19849e-05 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) : -38429.2 LL at equal shares, LL(0) : NA LL at observed shares, LL(C) : NA LL(final) : -24018.62 Rho-squared vs equal shares : Not applicable Adj.Rho-squared vs equal shares : Not applicable Rho-squared vs observed shares : Not applicable Adj.Rho-squared vs observed shares : Not applicable AIC : 48083.24 BIC : 48220.01 Estimated parameters : 23 Time taken (hh:mm:ss) : 00:00:5.13 pre-estimation : 00:00:0.14 estimation : 00:00:1.52 post-estimation : 00:00:3.47 Iterations : 20 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) Rob.s.e. Rob.t.rat.(0) alpha_generic 0.00000 NA NA NA NA gamma_dropOff 0.45380 0.04495 10.0951 0.07942 5.7138 gamma_work 6.91983 0.39917 17.3355 0.30646 22.5797 gamma_school 3.13137 0.58401 5.3618 0.53938 5.8055 gamma_shopping 0.42558 0.02678 15.8891 0.03037 14.0142 gamma_privBusiness 0.61733 0.04987 12.3782 0.06650 9.2828 gamma_petrol 0.11693 0.02517 4.6448 0.03437 3.4017 gamma_leisure 1.82731 0.10868 16.8138 0.10581 17.2690 gamma_vacation 1.55713 0.59144 2.6328 0.43671 3.5656 gamma_exercise 2.87582 0.26228 10.9645 0.33649 8.5465 gamma_home 2.66399 0.23251 11.4575 0.40703 6.5450 gamma_travel 0.20166 0.01072 18.8167 0.01227 16.4358 gamma_other 1.66119 0.49193 3.3769 0.80145 2.0727 delta_dropOff -3.57836 0.08836 -40.4985 0.15789 -22.6635 delta_work -2.35206 0.07961 -29.5453 0.13404 -17.5474 delta_school -5.19985 0.13038 -39.8820 0.23359 -22.2610 delta_shopping -2.76150 0.08102 -34.0828 0.13922 -19.8356 delta_privBusiness -3.23578 0.08450 -38.2947 0.14438 -22.4120 delta_petrol -5.45228 0.14279 -38.1843 0.20658 -26.3935 delta_leisure -2.62776 0.08046 -32.6596 0.14133 -18.5929 delta_vacation -6.60975 0.22989 -28.7512 0.27378 -24.1429 delta_exercise -3.52953 0.08757 -40.3036 0.15578 -22.6572 delta_home 0.00000 NA NA NA NA delta_travel -0.07434 0.08621 -0.8623 0.14176 -0.5244 delta_other -5.62282 0.15199 -36.9956 0.20701 -27.1621 sig 1.00000 NA NA NA NA Overview of choices for MDCEV model component : dropOff work school shopping privBusiness petrol Times available 2826.00 2826.00 2826.00 2826.0 2826.00 2826.00 Observations in which chosen 394.00 1139.00 85.00 783.0 535.00 66.00 Average consumption when available 0.39 2.89 0.11 0.5 0.44 0.03 Average consumption when chosen 2.81 7.17 3.52 1.8 2.34 1.33 leisure vacation exercise home travel other Times available 2826.00 2826.00 2826.00 2826.00 2826.00 2826.00 Observations in which chosen 883.00 21.00 420.00 2770.00 2328.00 56.00 Average consumption when available 1.10 0.02 0.73 16.10 1.59 0.10 Average consumption when chosen 3.52 2.75 4.90 16.43 1.93 4.82 Classical covariance matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 0.002021 -4.280e-05 -6.024e-06 6.932e-08 gamma_work -4.280e-05 0.159338 -3.4738e-04 -4.646e-05 gamma_school -6.024e-06 -3.4738e-04 0.341072 -3.510e-06 gamma_shopping 6.932e-08 -4.646e-05 -3.510e-06 7.1741e-04 gamma_privBusiness -2.454e-07 -7.015e-05 -1.315e-05 1.752e-07 gamma_petrol -1.195e-08 -2.158e-06 -4.670e-07 1.311e-08 gamma_leisure -2.113e-06 -5.0699e-04 -9.272e-05 -1.293e-06 gamma_vacation 1.951e-07 1.764e-05 1.141e-05 -1.462e-06 gamma_exercise -7.494e-06 -9.5967e-04 -2.1870e-04 -5.578e-06 gamma_home -3.351e-05 -0.007948 -0.001410 -1.517e-05 gamma_travel 6.224e-07 3.951e-05 -2.335e-06 1.244e-06 gamma_other -3.727e-06 -8.0749e-04 -1.3463e-04 -1.932e-06 delta_dropOff -1.6399e-04 -0.002427 -4.2113e-04 -4.242e-06 delta_work -8.447e-06 -0.006128 -4.1206e-04 -1.256e-06 delta_school -9.642e-06 -0.002432 -0.001312 -3.669e-06 delta_shopping -1.015e-05 -0.002381 -4.2006e-04 -1.5923e-04 delta_privBusiness -9.867e-06 -0.002399 -4.2097e-04 -4.184e-06 delta_petrol -9.724e-06 -0.002440 -4.2153e-04 -3.925e-06 delta_leisure -9.722e-06 -0.002355 -4.1677e-04 -3.849e-06 delta_vacation -9.694e-06 -0.002438 -4.2157e-04 -3.752e-06 delta_exercise -9.600e-06 -0.002416 -4.1943e-04 -3.545e-06 delta_travel -1.352e-05 -0.002673 -4.1329e-04 -1.022e-05 delta_other -9.678e-06 -0.002440 -4.2165e-04 -3.729e-06 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff -2.454e-07 -1.195e-08 -2.113e-06 1.951e-07 gamma_work -7.015e-05 -2.158e-06 -5.0699e-04 1.764e-05 gamma_school -1.315e-05 -4.670e-07 -9.272e-05 1.141e-05 gamma_shopping 1.752e-07 1.311e-08 -1.293e-06 -1.462e-06 gamma_privBusiness 0.002487 -2.535e-08 -4.574e-06 -1.391e-06 gamma_petrol -2.535e-08 6.3376e-04 -1.403e-07 1.348e-08 gamma_leisure -4.574e-06 -1.403e-07 0.01181 -7.271e-05 gamma_vacation -1.391e-06 1.348e-08 -7.271e-05 0.3498 gamma_exercise -1.165e-05 -3.575e-07 -8.145e-05 -1.102e-05 gamma_home -6.416e-05 -1.989e-06 -5.3913e-04 -3.9866e-04 gamma_travel 8.629e-07 2.236e-08 6.378e-06 -7.061e-07 gamma_other -7.616e-06 -6.652e-08 -5.724e-05 -1.8784e-04 delta_dropOff -1.898e-05 -6.099e-07 -1.6424e-04 -1.1947e-04 delta_work -1.568e-05 -5.274e-07 -1.4317e-04 -1.1964e-04 delta_school -1.875e-05 -5.908e-07 -1.6355e-04 -1.1941e-04 delta_shopping -1.960e-05 -6.756e-07 -1.6573e-04 -1.1915e-04 delta_privBusiness -2.2253e-04 -5.961e-07 -1.6394e-04 -1.1924e-04 delta_petrol -1.875e-05 -3.687e-05 -1.6405e-04 -1.1942e-04 delta_leisure -1.874e-05 -6.044e-07 -9.0582e-04 -1.1554e-04 delta_vacation -1.877e-05 -5.952e-07 -1.6425e-04 -5.8631e-04 delta_exercise -1.850e-05 -5.919e-07 -1.6154e-04 -1.1944e-04 delta_travel -2.374e-05 -7.340e-07 -2.0485e-04 -1.1757e-04 delta_other -1.890e-05 -5.943e-07 -1.6370e-04 -1.1913e-04 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff -7.494e-06 -3.351e-05 6.224e-07 -3.727e-06 gamma_work -9.5967e-04 -0.007948 3.951e-05 -8.0749e-04 gamma_school -2.1870e-04 -0.001410 -2.335e-06 -1.3463e-04 gamma_shopping -5.578e-06 -1.517e-05 1.244e-06 -1.932e-06 gamma_privBusiness -1.165e-05 -6.416e-05 8.629e-07 -7.616e-06 gamma_petrol -3.575e-07 -1.989e-06 2.236e-08 -6.652e-08 gamma_leisure -8.145e-05 -5.3913e-04 6.378e-06 -5.724e-05 gamma_vacation -1.102e-05 -3.9866e-04 -7.061e-07 -1.8784e-04 gamma_exercise 0.068793 -0.001391 1.036e-06 -5.547e-05 gamma_home -0.001391 0.054061 -2.149e-05 -5.3007e-04 gamma_travel 1.036e-06 -2.149e-05 1.1486e-04 -1.167e-06 gamma_other -5.547e-05 -5.3007e-04 -1.167e-06 0.2420 delta_dropOff -4.2102e-04 0.016214 -1.058e-05 -1.5894e-04 delta_work -3.9534e-04 0.016388 -1.358e-05 -1.4051e-04 delta_school -4.2032e-04 0.016189 -9.571e-06 -1.5875e-04 delta_shopping -4.1897e-04 0.016196 -1.200e-05 -1.5890e-04 delta_privBusiness -4.1876e-04 0.016206 -1.067e-05 -1.5896e-04 delta_petrol -4.2082e-04 0.016192 -9.656e-06 -1.5911e-04 delta_leisure -4.1475e-04 0.016258 -1.239e-05 -1.5657e-04 delta_vacation -4.2073e-04 0.016188 -9.521e-06 -1.5890e-04 delta_exercise -0.001414 0.016243 -1.028e-05 -1.5854e-04 delta_travel -4.3238e-04 0.016296 -4.3677e-04 -1.5574e-04 delta_other -4.2092e-04 0.016202 -9.570e-06 -6.7350e-04 delta_dropOff delta_work delta_school delta_shopping gamma_dropOff -1.6399e-04 -8.447e-06 -9.642e-06 -1.015e-05 gamma_work -0.002427 -0.006128 -0.002432 -0.002381 gamma_school -4.2113e-04 -4.1206e-04 -0.001312 -4.2006e-04 gamma_shopping -4.242e-06 -1.256e-06 -3.669e-06 -1.5923e-04 gamma_privBusiness -1.898e-05 -1.568e-05 -1.875e-05 -1.960e-05 gamma_petrol -6.099e-07 -5.274e-07 -5.908e-07 -6.756e-07 gamma_leisure -1.6424e-04 -1.4317e-04 -1.6355e-04 -1.6573e-04 gamma_vacation -1.1947e-04 -1.1964e-04 -1.1941e-04 -1.1915e-04 gamma_exercise -4.2102e-04 -3.9534e-04 -4.2032e-04 -4.1897e-04 gamma_home 0.016214 0.016388 0.016189 0.016196 gamma_travel -1.058e-05 -1.358e-05 -9.571e-06 -1.200e-05 gamma_other -1.5894e-04 -1.4051e-04 -1.5875e-04 -1.5890e-04 delta_dropOff 0.007807 0.005304 0.005240 0.005244 delta_work 0.005304 0.006338 0.005296 0.005294 delta_school 0.005240 0.005296 0.016999 0.005234 delta_shopping 0.005244 0.005294 0.005234 0.006565 delta_privBusiness 0.005246 0.005299 0.005237 0.005240 delta_petrol 0.005242 0.005298 0.005233 0.005236 delta_leisure 0.005264 0.005314 0.005255 0.005258 delta_vacation 0.005240 0.005296 0.005231 0.005234 delta_exercise 0.005259 0.005314 0.005250 0.005252 delta_travel 0.005297 0.005369 0.005283 0.005298 delta_other 0.005245 0.005301 0.005236 0.005238 delta_privBusiness delta_petrol delta_leisure delta_vacation gamma_dropOff -9.867e-06 -9.724e-06 -9.722e-06 -9.694e-06 gamma_work -0.002399 -0.002440 -0.002355 -0.002438 gamma_school -4.2097e-04 -4.2153e-04 -4.1677e-04 -4.2157e-04 gamma_shopping -4.184e-06 -3.925e-06 -3.849e-06 -3.752e-06 gamma_privBusiness -2.2253e-04 -1.875e-05 -1.874e-05 -1.877e-05 gamma_petrol -5.961e-07 -3.687e-05 -6.044e-07 -5.952e-07 gamma_leisure -1.6394e-04 -1.6405e-04 -9.0582e-04 -1.6425e-04 gamma_vacation -1.1924e-04 -1.1942e-04 -1.1554e-04 -5.8631e-04 gamma_exercise -4.1876e-04 -4.2082e-04 -4.1475e-04 -4.2073e-04 gamma_home 0.016206 0.016192 0.016258 0.016188 gamma_travel -1.067e-05 -9.656e-06 -1.239e-05 -9.521e-06 gamma_other -1.5896e-04 -1.5911e-04 -1.5657e-04 -1.5890e-04 delta_dropOff 0.005246 0.005242 0.005264 0.005240 delta_work 0.005299 0.005298 0.005314 0.005296 delta_school 0.005237 0.005233 0.005255 0.005231 delta_shopping 0.005240 0.005236 0.005258 0.005234 delta_privBusiness 0.007140 0.005238 0.005261 0.005237 delta_petrol 0.005238 0.020389 0.005256 0.005233 delta_leisure 0.005261 0.005256 0.006474 0.005255 delta_vacation 0.005237 0.005233 0.005255 0.052851 delta_exercise 0.005255 0.005251 0.005273 0.005250 delta_travel 0.005295 0.005285 0.005323 0.005283 delta_other 0.005242 0.005237 0.005259 0.005236 delta_exercise delta_travel delta_other gamma_dropOff -9.600e-06 -1.352e-05 -9.678e-06 gamma_work -0.002416 -0.002673 -0.002440 gamma_school -4.1943e-04 -4.1329e-04 -4.2165e-04 gamma_shopping -3.545e-06 -1.022e-05 -3.729e-06 gamma_privBusiness -1.850e-05 -2.374e-05 -1.890e-05 gamma_petrol -5.919e-07 -7.340e-07 -5.943e-07 gamma_leisure -1.6154e-04 -2.0485e-04 -1.6370e-04 gamma_vacation -1.1944e-04 -1.1757e-04 -1.1913e-04 gamma_exercise -0.001414 -4.3238e-04 -4.2092e-04 gamma_home 0.016243 0.016296 0.016202 gamma_travel -1.028e-05 -4.3677e-04 -9.570e-06 gamma_other -1.5854e-04 -1.5574e-04 -6.7350e-04 delta_dropOff 0.005259 0.005297 0.005245 delta_work 0.005314 0.005369 0.005301 delta_school 0.005250 0.005283 0.005236 delta_shopping 0.005252 0.005298 0.005238 delta_privBusiness 0.005255 0.005295 0.005242 delta_petrol 0.005251 0.005285 0.005237 delta_leisure 0.005273 0.005323 0.005259 delta_vacation 0.005250 0.005283 0.005236 delta_exercise 0.007669 0.005306 0.005255 delta_travel 0.005306 0.007432 0.005288 delta_other 0.005255 0.005288 0.023100 Robust covariance matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 0.006308 -0.002268 -0.004761 1.5049e-04 gamma_work -0.002268 0.093919 0.028259 -7.3890e-04 gamma_school -0.004761 0.028259 0.290931 -6.1400e-04 gamma_shopping 1.5049e-04 -7.3890e-04 -6.1400e-04 9.2220e-04 gamma_privBusiness 9.232e-05 4.3005e-04 8.4010e-04 1.1979e-04 gamma_petrol 2.5031e-04 -7.1548e-04 -0.001919 6.252e-05 gamma_leisure 1.6111e-04 0.002383 0.003516 4.2833e-04 gamma_vacation -2.8655e-04 -4.0853e-04 -0.004012 5.8274e-04 gamma_exercise 0.001235 -0.010662 0.004198 -1.6694e-04 gamma_home 0.008396 -0.021861 -0.033517 0.001353 gamma_travel -1.137e-05 -4.2108e-04 -2.9343e-04 1.237e-05 gamma_other 0.003484 -0.010879 0.004629 0.002926 delta_dropOff 0.003600 -0.006120 -0.014726 -3.186e-05 delta_work 0.002767 -0.013380 -0.012344 5.1144e-04 delta_school 0.003306 -0.004095 0.001019 8.4378e-04 delta_shopping 0.003162 -0.007250 -0.010780 1.7120e-04 delta_privBusiness 0.002865 -0.005560 -0.010456 3.1491e-04 delta_petrol 0.003750 -0.008636 -0.015603 2.7659e-04 delta_leisure 0.002839 -0.007462 -0.010155 3.8723e-04 delta_vacation 0.002654 -0.001618 -0.009783 5.6167e-04 delta_exercise 0.002893 -0.006384 -0.009029 2.6190e-04 delta_travel 0.002977 -0.006509 -0.009183 3.0419e-04 delta_other 0.002811 -0.010473 -0.009332 8.989e-05 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff 9.232e-05 2.5031e-04 1.6111e-04 -2.8655e-04 gamma_work 4.3005e-04 -7.1548e-04 0.002383 -4.0853e-04 gamma_school 8.4010e-04 -0.001919 0.003516 -0.004012 gamma_shopping 1.1979e-04 6.252e-05 4.2833e-04 5.8274e-04 gamma_privBusiness 0.004423 4.166e-05 -2.1736e-04 0.001489 gamma_petrol 4.166e-05 0.001182 1.2612e-04 3.827e-05 gamma_leisure -2.1736e-04 1.2612e-04 0.011197 1.553e-06 gamma_vacation 0.001489 3.827e-05 1.553e-06 0.190711 gamma_exercise -0.001308 8.6931e-04 -3.8980e-04 0.002440 gamma_home 9.1357e-04 0.002686 0.007041 -0.003855 gamma_travel 7.463e-05 -1.265e-05 -1.372e-05 1.9046e-04 gamma_other 0.007089 0.001301 7.1748e-04 0.009553 delta_dropOff -1.1178e-04 9.0235e-04 0.001541 -0.001792 delta_work -6.069e-06 0.001120 0.002177 -0.001158 delta_school 9.1900e-04 0.001128 0.002542 -0.008403 delta_shopping 6.000e-05 7.2272e-04 0.001463 -0.002250 delta_privBusiness 2.1330e-04 8.5722e-04 0.001681 -0.002541 delta_petrol 3.7020e-04 0.002465 8.321e-05 -2.0965e-04 delta_leisure 4.370e-05 8.3553e-04 7.9574e-04 -0.003389 delta_vacation -1.8522e-04 8.1239e-04 7.1837e-04 0.004224 delta_exercise 1.3260e-04 7.8837e-04 0.002107 -0.001451 delta_travel -1.7390e-04 0.001003 0.001992 -0.003245 delta_other 6.4149e-04 0.001329 0.002574 -0.001268 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff 0.001235 0.008396 -1.137e-05 0.003484 gamma_work -0.010662 -0.021861 -4.2108e-04 -0.010879 gamma_school 0.004198 -0.033517 -2.9343e-04 0.004629 gamma_shopping -1.6694e-04 0.001353 1.237e-05 0.002926 gamma_privBusiness -0.001308 9.1357e-04 7.463e-05 0.007089 gamma_petrol 8.6931e-04 0.002686 -1.265e-05 0.001301 gamma_leisure -3.8980e-04 0.007041 -1.372e-05 7.1748e-04 gamma_vacation 0.002440 -0.003855 1.9046e-04 0.009553 gamma_exercise 0.113226 0.013849 1.5849e-04 0.001060 gamma_home 0.013849 0.165671 4.6986e-04 0.054142 gamma_travel 1.5849e-04 4.6986e-04 1.5054e-04 8.1663e-04 gamma_other 0.001060 0.054142 8.1663e-04 0.642325 delta_dropOff 0.002556 0.054276 -1.1266e-04 0.007239 delta_work 0.005622 0.050196 -2.100e-05 0.015586 delta_school 0.010346 0.061920 -8.223e-05 0.022267 delta_shopping 0.004146 0.052548 -6.517e-05 0.014310 delta_privBusiness 0.003781 0.053090 -6.408e-05 0.018237 delta_petrol 0.003596 0.055766 -1.0675e-04 0.023505 delta_leisure 0.003951 0.053305 -5.070e-05 0.013787 delta_vacation 0.005618 0.050708 2.4437e-04 0.021520 delta_exercise 0.007322 0.053614 -7.509e-05 0.010671 delta_travel 0.004861 0.049291 -6.3423e-04 0.011713 delta_other 0.003420 0.060617 1.7093e-04 0.024439 delta_dropOff delta_work delta_school delta_shopping gamma_dropOff 0.003600 0.002767 0.003306 0.003162 gamma_work -0.006120 -0.013380 -0.004095 -0.007250 gamma_school -0.014726 -0.012344 0.001019 -0.010780 gamma_shopping -3.186e-05 5.1144e-04 8.4378e-04 1.7120e-04 gamma_privBusiness -1.1178e-04 -6.069e-06 9.1900e-04 6.000e-05 gamma_petrol 9.0235e-04 0.001120 0.001128 7.2272e-04 gamma_leisure 0.001541 0.002177 0.002542 0.001463 gamma_vacation -0.001792 -0.001158 -0.008403 -0.002250 gamma_exercise 0.002556 0.005622 0.010346 0.004146 gamma_home 0.054276 0.050196 0.061920 0.052548 gamma_travel -1.1266e-04 -2.100e-05 -8.223e-05 -6.517e-05 gamma_other 0.007239 0.015586 0.022267 0.014310 delta_dropOff 0.024930 0.016910 0.020105 0.018576 delta_work 0.016910 0.017967 0.017633 0.016158 delta_school 0.020105 0.017633 0.054562 0.019304 delta_shopping 0.018576 0.016158 0.019304 0.019382 delta_privBusiness 0.018555 0.015997 0.019908 0.017585 delta_petrol 0.020809 0.018403 0.020215 0.019518 delta_leisure 0.018411 0.016669 0.020498 0.017929 delta_vacation 0.015700 0.014623 0.019533 0.016245 delta_exercise 0.018634 0.016481 0.020907 0.017856 delta_travel 0.018519 0.016759 0.019947 0.017446 delta_other 0.021814 0.019353 0.021565 0.020321 delta_privBusiness delta_petrol delta_leisure delta_vacation gamma_dropOff 0.002865 0.003750 0.002839 0.002654 gamma_work -0.005560 -0.008636 -0.007462 -0.001618 gamma_school -0.010456 -0.015603 -0.010155 -0.009783 gamma_shopping 3.1491e-04 2.7659e-04 3.8723e-04 5.6167e-04 gamma_privBusiness 2.1330e-04 3.7020e-04 4.370e-05 -1.8522e-04 gamma_petrol 8.5722e-04 0.002465 8.3553e-04 8.1239e-04 gamma_leisure 0.001681 8.321e-05 7.9574e-04 7.1837e-04 gamma_vacation -0.002541 -2.0965e-04 -0.003389 0.004224 gamma_exercise 0.003781 0.003596 0.003951 0.005618 gamma_home 0.053090 0.055766 0.053305 0.050708 gamma_travel -6.408e-05 -1.0675e-04 -5.070e-05 2.4437e-04 gamma_other 0.018237 0.023505 0.013787 0.021520 delta_dropOff 0.018555 0.020809 0.018411 0.015700 delta_work 0.015997 0.018403 0.016669 0.014623 delta_school 0.019908 0.020215 0.020498 0.019533 delta_shopping 0.017585 0.019518 0.017929 0.016245 delta_privBusiness 0.020845 0.018538 0.018147 0.015914 delta_petrol 0.018538 0.042674 0.019121 0.016744 delta_leisure 0.018147 0.019121 0.019975 0.018383 delta_vacation 0.015914 0.016744 0.018383 0.074953 delta_exercise 0.017953 0.019166 0.017752 0.015216 delta_travel 0.017464 0.019099 0.017871 0.015756 delta_other 0.020768 0.023557 0.020280 0.018537 delta_exercise delta_travel delta_other gamma_dropOff 0.002893 0.002977 0.002811 gamma_work -0.006384 -0.006509 -0.010473 gamma_school -0.009029 -0.009183 -0.009332 gamma_shopping 2.6190e-04 3.0419e-04 8.989e-05 gamma_privBusiness 1.3260e-04 -1.7390e-04 6.4149e-04 gamma_petrol 7.8837e-04 0.001003 0.001329 gamma_leisure 0.002107 0.001992 0.002574 gamma_vacation -0.001451 -0.003245 -0.001268 gamma_exercise 0.007322 0.004861 0.003420 gamma_home 0.053614 0.049291 0.060617 gamma_travel -7.509e-05 -6.3423e-04 1.7093e-04 gamma_other 0.010671 0.011713 0.024439 delta_dropOff 0.018634 0.018519 0.021814 delta_work 0.016481 0.016759 0.019353 delta_school 0.020907 0.019947 0.021565 delta_shopping 0.017856 0.017446 0.020321 delta_privBusiness 0.017953 0.017464 0.020768 delta_petrol 0.019166 0.019099 0.023557 delta_leisure 0.017752 0.017871 0.020280 delta_vacation 0.015216 0.015756 0.018537 delta_exercise 0.024267 0.018118 0.020043 delta_travel 0.018118 0.020096 0.019577 delta_other 0.020043 0.019577 0.042853 Classical correlation matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 1.000000 -0.002385 -2.2946e-04 5.758e-05 gamma_work -0.002385 1.000000 -0.001490 -0.004346 gamma_school -2.2946e-04 -0.001490 1.000000 -2.2440e-04 gamma_shopping 5.758e-05 -0.004346 -2.2440e-04 1.000000 gamma_privBusiness -1.0945e-04 -0.003524 -4.5136e-04 1.3117e-04 gamma_petrol -1.056e-05 -2.1474e-04 -3.177e-05 1.944e-05 gamma_leisure -4.3261e-04 -0.011687 -0.001461 -4.4428e-04 gamma_vacation 7.337e-06 7.472e-05 3.303e-05 -9.227e-05 gamma_exercise -6.3563e-04 -0.009166 -0.001428 -7.9398e-04 gamma_home -0.003206 -0.085635 -0.010387 -0.002437 gamma_travel 0.001292 0.009235 -3.7303e-04 0.004334 gamma_other -1.6852e-04 -0.004112 -4.6862e-04 -1.4662e-04 delta_dropOff -0.041288 -0.068825 -0.008161 -0.001792 delta_work -0.002360 -0.192838 -0.008863 -5.8911e-04 delta_school -0.001645 -0.046721 -0.017225 -0.001050 delta_shopping -0.002786 -0.073618 -0.008877 -0.073373 delta_privBusiness -0.002598 -0.071128 -0.008531 -0.001849 delta_petrol -0.001515 -0.042801 -0.005055 -0.001026 delta_leisure -0.002688 -0.073312 -0.008870 -0.001786 delta_vacation -9.3801e-04 -0.026563 -0.003140 -6.0934e-04 delta_exercise -0.002439 -0.069125 -0.008201 -0.001511 delta_travel -0.003490 -0.077664 -0.008209 -0.004425 delta_other -0.001417 -0.040219 -0.004750 -9.1592e-04 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff -1.0945e-04 -1.056e-05 -4.3261e-04 7.337e-06 gamma_work -0.003524 -2.1474e-04 -0.011687 7.472e-05 gamma_school -4.5136e-04 -3.177e-05 -0.001461 3.303e-05 gamma_shopping 1.3117e-04 1.944e-05 -4.4428e-04 -9.227e-05 gamma_privBusiness 1.000000 -2.019e-05 -8.4382e-04 -4.717e-05 gamma_petrol -2.019e-05 1.00000 -5.127e-05 9.053e-07 gamma_leisure -8.4382e-04 -5.127e-05 1.000000 -0.001131 gamma_vacation -4.717e-05 9.053e-07 -0.001131 1.000000 gamma_exercise -8.9061e-04 -5.415e-05 -0.002857 -7.105e-05 gamma_home -0.005533 -3.3988e-04 -0.021336 -0.002899 gamma_travel 0.001614 8.287e-05 0.005476 -1.1140e-04 gamma_other -3.1043e-04 -5.371e-06 -0.001071 -6.4562e-04 delta_dropOff -0.004307 -2.7418e-04 -0.017104 -0.002286 delta_work -0.003950 -2.6314e-04 -0.016548 -0.002541 delta_school -0.002883 -1.7998e-04 -0.011542 -0.001548 delta_shopping -0.004851 -3.3123e-04 -0.018821 -0.002486 delta_privBusiness -0.052807 -2.8024e-04 -0.017852 -0.002386 delta_petrol -0.002633 -0.01026 -0.010571 -0.001414 delta_leisure -0.004670 -2.9839e-04 -0.103591 -0.002428 delta_vacation -0.001637 -1.0285e-04 -0.006574 -0.004312 delta_exercise -0.004235 -2.6848e-04 -0.016973 -0.002306 delta_travel -0.005522 -3.3822e-04 -0.021864 -0.002306 delta_other -0.002494 -1.5532e-04 -0.009911 -0.001325 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff -6.3563e-04 -0.003206 0.001292 -1.6852e-04 gamma_work -0.009166 -0.085635 0.009235 -0.004112 gamma_school -0.001428 -0.010387 -3.7303e-04 -4.6862e-04 gamma_shopping -7.9398e-04 -0.002437 0.004334 -1.4662e-04 gamma_privBusiness -8.9061e-04 -0.005533 0.001614 -3.1043e-04 gamma_petrol -5.415e-05 -3.3988e-04 8.287e-05 -5.371e-06 gamma_leisure -0.002857 -0.021336 0.005476 -0.001071 gamma_vacation -7.105e-05 -0.002899 -1.1140e-04 -6.4562e-04 gamma_exercise 1.000000 -0.022811 3.6854e-04 -4.2992e-04 gamma_home -0.022811 1.000000 -0.008625 -0.004634 gamma_travel 3.6854e-04 -0.008625 1.000000 -2.2131e-04 gamma_other -4.2992e-04 -0.004634 -2.2131e-04 1.000000 delta_dropOff -0.018167 0.789237 -0.011169 -0.003657 delta_work -0.018934 0.885368 -0.015918 -0.003588 delta_school -0.012291 0.534015 -0.006849 -0.002475 delta_shopping -0.019715 0.859734 -0.013817 -0.003987 delta_privBusiness -0.018895 0.824866 -0.011779 -0.003824 delta_petrol -0.011236 0.487713 -0.006310 -0.002265 delta_leisure -0.019653 0.869059 -0.014368 -0.003956 delta_vacation -0.006978 0.302854 -0.003864 -0.001405 delta_exercise -0.061575 0.797738 -0.010950 -0.003680 delta_travel -0.019122 0.812982 -0.472732 -0.003672 delta_other -0.010559 0.458482 -0.005875 -0.009008 delta_dropOff delta_work delta_school delta_shopping gamma_dropOff -0.041288 -0.002360 -0.001645 -0.002786 gamma_work -0.068825 -0.192838 -0.046721 -0.073618 gamma_school -0.008161 -0.008863 -0.017225 -0.008877 gamma_shopping -0.001792 -5.8911e-04 -0.001050 -0.073373 gamma_privBusiness -0.004307 -0.003950 -0.002883 -0.004851 gamma_petrol -2.7418e-04 -2.6314e-04 -1.7998e-04 -3.3123e-04 gamma_leisure -0.017104 -0.016548 -0.011542 -0.018821 gamma_vacation -0.002286 -0.002541 -0.001548 -0.002486 gamma_exercise -0.018167 -0.018934 -0.012291 -0.019715 gamma_home 0.789237 0.885368 0.534015 0.859734 gamma_travel -0.011169 -0.015918 -0.006849 -0.013817 gamma_other -0.003657 -0.003588 -0.002475 -0.003987 delta_dropOff 1.000000 0.754095 0.454867 0.732432 delta_work 0.754095 1.000000 0.510228 0.820760 delta_school 0.454867 0.510228 1.000000 0.495414 delta_shopping 0.732432 0.820760 0.495414 1.000000 delta_privBusiness 0.702692 0.787772 0.475387 0.765429 delta_petrol 0.415457 0.466055 0.281064 0.452537 delta_leisure 0.740406 0.829599 0.500915 0.806517 delta_vacation 0.257978 0.289395 0.174531 0.280983 delta_exercise 0.679626 0.762191 0.459805 0.740197 delta_travel 0.695453 0.782347 0.469997 0.758482 delta_other 0.390550 0.438123 0.264222 0.425372 delta_privBusiness delta_petrol delta_leisure delta_vacation gamma_dropOff -0.002598 -0.001515 -0.002688 -9.3801e-04 gamma_work -0.071128 -0.042801 -0.073312 -0.026563 gamma_school -0.008531 -0.005055 -0.008870 -0.003140 gamma_shopping -0.001849 -0.001026 -0.001786 -6.0934e-04 gamma_privBusiness -0.052807 -0.002633 -0.004670 -0.001637 gamma_petrol -2.8024e-04 -0.010256 -2.9839e-04 -1.0285e-04 gamma_leisure -0.017852 -0.010571 -0.103591 -0.006574 gamma_vacation -0.002386 -0.001414 -0.002428 -0.004312 gamma_exercise -0.018895 -0.011236 -0.019653 -0.006978 gamma_home 0.824866 0.487713 0.869059 0.302854 gamma_travel -0.011779 -0.006310 -0.014368 -0.003864 gamma_other -0.003824 -0.002265 -0.003956 -0.001405 delta_dropOff 0.702692 0.415457 0.740406 0.257978 delta_work 0.787772 0.466055 0.829599 0.289395 delta_school 0.475387 0.281064 0.500915 0.174531 delta_shopping 0.765429 0.452537 0.806517 0.280983 delta_privBusiness 1.000000 0.434181 0.773793 0.269608 delta_petrol 0.434181 1.000000 0.457506 0.159404 delta_leisure 0.773793 0.457506 1.000000 0.284103 delta_vacation 0.269608 0.159404 0.284103 1.000000 delta_exercise 0.710227 0.419949 0.748321 0.260772 delta_travel 0.726842 0.429307 0.767482 0.266563 delta_other 0.408171 0.241321 0.430082 0.149852 delta_exercise delta_travel delta_other gamma_dropOff -0.002439 -0.003490 -0.001417 gamma_work -0.069125 -0.077664 -0.040219 gamma_school -0.008201 -0.008209 -0.004750 gamma_shopping -0.001511 -0.004425 -9.1592e-04 gamma_privBusiness -0.004235 -0.005522 -0.002494 gamma_petrol -2.6848e-04 -3.3822e-04 -1.5532e-04 gamma_leisure -0.016973 -0.021864 -0.009911 gamma_vacation -0.002306 -0.002306 -0.001325 gamma_exercise -0.061575 -0.019122 -0.010559 gamma_home 0.797738 0.812982 0.458482 gamma_travel -0.010950 -0.472732 -0.005875 gamma_other -0.003680 -0.003672 -0.009008 delta_dropOff 0.679626 0.695453 0.390550 delta_work 0.762191 0.782347 0.438123 delta_school 0.459805 0.469997 0.264222 delta_shopping 0.740197 0.758482 0.425372 delta_privBusiness 0.710227 0.726842 0.408171 delta_petrol 0.419949 0.429307 0.241321 delta_leisure 0.748321 0.767482 0.430082 delta_vacation 0.260772 0.266563 0.149852 delta_exercise 1.000000 0.702759 0.394781 delta_travel 0.702759 1.000000 0.403558 delta_other 0.394781 0.403558 1.000000 Robust correlation matrix: gamma_dropOff gamma_work gamma_school gamma_shopping gamma_dropOff 1.000000 -0.093176 -0.111135 0.062395 gamma_work -0.093176 1.000000 0.170958 -0.079396 gamma_school -0.111135 0.170958 1.000000 -0.037485 gamma_shopping 0.062395 -0.079396 -0.037485 1.000000 gamma_privBusiness 0.017480 0.021101 0.023420 0.059316 gamma_petrol 0.091684 -0.067918 -0.103485 0.059890 gamma_leisure 0.019171 0.073479 0.061602 0.133297 gamma_vacation -0.008262 -0.003053 -0.017031 0.043942 gamma_exercise 0.046208 -0.103391 0.023130 -0.016337 gamma_home 0.259728 -0.175258 -0.152667 0.109428 gamma_travel -0.011671 -0.111984 -0.044339 0.033199 gamma_other 0.054727 -0.044294 0.010708 0.120209 delta_dropOff 0.287062 -0.126484 -0.172911 -0.006645 delta_work 0.259947 -0.325721 -0.170742 0.125646 delta_school 0.178212 -0.057202 0.008089 0.118951 delta_shopping 0.285943 -0.169923 -0.143552 0.040493 delta_privBusiness 0.249831 -0.125666 -0.134270 0.071825 delta_petrol 0.228568 -0.136418 -0.140036 0.044090 delta_leisure 0.252962 -0.172285 -0.133213 0.090224 delta_vacation 0.122064 -0.019283 -0.066246 0.067558 delta_exercise 0.233823 -0.133731 -0.107461 0.055362 delta_travel 0.264452 -0.149826 -0.120100 0.070660 delta_other 0.170952 -0.165076 -0.083573 0.014299 gamma_privBusiness gamma_petrol gamma_leisure gamma_vacation gamma_dropOff 0.017480 0.091684 0.019171 -0.008262 gamma_work 0.021101 -0.067918 0.073479 -0.003053 gamma_school 0.023420 -0.103485 0.061602 -0.017031 gamma_shopping 0.059316 0.059890 0.133297 0.043942 gamma_privBusiness 1.000000 0.018226 -0.030889 0.051260 gamma_petrol 0.018226 1.000000 0.034673 0.002550 gamma_leisure -0.030889 0.034673 1.000000 3.360e-05 gamma_vacation 0.051260 0.002550 3.360e-05 1.000000 gamma_exercise -0.058457 0.075156 -0.010948 0.016601 gamma_home 0.033750 0.191941 0.163491 -0.021690 gamma_travel 0.091459 -0.029985 -0.010565 0.035545 gamma_other 0.133008 0.047221 0.008460 0.027295 delta_dropOff -0.010646 0.166257 0.092246 -0.025987 delta_work -6.8088e-04 0.243074 0.153472 -0.019774 delta_school 0.059160 0.140447 0.102833 -0.082374 delta_shopping 0.006480 0.151020 0.099325 -0.037016 delta_privBusiness 0.022216 0.172727 0.110020 -0.040300 delta_petrol 0.026948 0.347104 0.003807 -0.002324 delta_leisure 0.004650 0.171983 0.053209 -0.054905 delta_vacation -0.010173 0.086324 0.024798 0.035334 delta_exercise 0.012800 0.147225 0.127830 -0.021324 delta_travel -0.018446 0.205828 0.132791 -0.052416 delta_other 0.046597 0.186724 0.117529 -0.014022 gamma_exercise gamma_home gamma_travel gamma_other gamma_dropOff 0.046208 0.25973 -0.01167 0.054727 gamma_work -0.103391 -0.17526 -0.11198 -0.044294 gamma_school 0.023130 -0.15267 -0.04434 0.010708 gamma_shopping -0.016337 0.10943 0.03320 0.120209 gamma_privBusiness -0.058457 0.03375 0.09146 0.133008 gamma_petrol 0.075156 0.19194 -0.02999 0.047221 gamma_leisure -0.010948 0.16349 -0.01056 0.008460 gamma_vacation 0.016601 -0.02169 0.03555 0.027295 gamma_exercise 1.000000 0.10112 0.03839 0.003931 gamma_home 0.101119 1.00000 0.09408 0.165973 gamma_travel 0.038388 0.09408 1.00000 0.083046 gamma_other 0.003931 0.16597 0.08305 1.000000 delta_dropOff 0.048112 0.84455 -0.05815 0.057210 delta_work 0.124636 0.92006 -0.01277 0.145089 delta_school 0.131625 0.65127 -0.02869 0.118944 delta_shopping 0.088508 0.92732 -0.03815 0.128254 delta_privBusiness 0.077830 0.90343 -0.03617 0.157605 delta_petrol 0.051733 0.66323 -0.04212 0.141969 delta_leisure 0.083073 0.92664 -0.02924 0.121716 delta_vacation 0.060989 0.45505 0.07275 0.098079 delta_exercise 0.139678 0.84557 -0.03929 0.085468 delta_travel 0.101905 0.85427 -0.36464 0.103092 delta_other 0.049103 0.71942 0.06730 0.147303 delta_dropOff delta_work delta_school delta_shopping gamma_dropOff 0.287062 0.25995 0.178212 0.285943 gamma_work -0.126484 -0.32572 -0.057202 -0.169923 gamma_school -0.172911 -0.17074 0.008089 -0.143552 gamma_shopping -0.006645 0.12565 0.118951 0.040493 gamma_privBusiness -0.010646 -6.8088e-04 0.059160 0.006480 gamma_petrol 0.166257 0.24307 0.140447 0.151020 gamma_leisure 0.092246 0.15347 0.102833 0.099325 gamma_vacation -0.025987 -0.01977 -0.082374 -0.037016 gamma_exercise 0.048112 0.12464 0.131625 0.088508 gamma_home 0.844551 0.92006 0.651270 0.927322 gamma_travel -0.058152 -0.01277 -0.028692 -0.038155 gamma_other 0.057210 0.14509 0.118944 0.128254 delta_dropOff 1.000000 0.79903 0.545125 0.845087 delta_work 0.799026 1.00000 0.563175 0.865875 delta_school 0.545125 0.56317 1.000000 0.593609 delta_shopping 0.845087 0.86588 0.593609 1.000000 delta_privBusiness 0.813962 0.82660 0.590327 0.874849 delta_petrol 0.637979 0.66460 0.418929 0.678677 delta_leisure 0.825071 0.87989 0.620912 0.911189 delta_vacation 0.363190 0.39847 0.305437 0.426211 delta_exercise 0.757585 0.78929 0.574551 0.823322 delta_travel 0.827407 0.88200 0.602380 0.883987 delta_other 0.667412 0.69745 0.445983 0.705107 delta_privBusiness delta_petrol delta_leisure delta_vacation gamma_dropOff 0.24983 0.228568 0.252962 0.12206 gamma_work -0.12567 -0.136418 -0.172285 -0.01928 gamma_school -0.13427 -0.140036 -0.133213 -0.06625 gamma_shopping 0.07183 0.044090 0.090224 0.06756 gamma_privBusiness 0.02222 0.026948 0.004650 -0.01017 gamma_petrol 0.17273 0.347104 0.171983 0.08632 gamma_leisure 0.11002 0.003807 0.053209 0.02480 gamma_vacation -0.04030 -0.002324 -0.054905 0.03533 gamma_exercise 0.07783 0.051733 0.083073 0.06099 gamma_home 0.90343 0.663232 0.926639 0.45505 gamma_travel -0.03617 -0.042117 -0.029238 0.07275 gamma_other 0.15760 0.141969 0.121716 0.09808 delta_dropOff 0.81396 0.637979 0.825071 0.36319 delta_work 0.82660 0.664601 0.879888 0.39847 delta_school 0.59033 0.418929 0.620912 0.30544 delta_shopping 0.87485 0.678677 0.911189 0.42621 delta_privBusiness 1.00000 0.621556 0.889336 0.40262 delta_petrol 0.62156 1.000000 0.654922 0.29606 delta_leisure 0.88934 0.654922 1.000000 0.47510 delta_vacation 0.40262 0.296057 0.475099 1.00000 delta_exercise 0.79821 0.595581 0.806324 0.35677 delta_travel 0.85330 0.652211 0.891967 0.40598 delta_other 0.69487 0.550861 0.693174 0.32709 delta_exercise delta_travel delta_other gamma_dropOff 0.23382 0.26445 0.17095 gamma_work -0.13373 -0.14983 -0.16508 gamma_school -0.10746 -0.12010 -0.08357 gamma_shopping 0.05536 0.07066 0.01430 gamma_privBusiness 0.01280 -0.01845 0.04660 gamma_petrol 0.14723 0.20583 0.18672 gamma_leisure 0.12783 0.13279 0.11753 gamma_vacation -0.02132 -0.05242 -0.01402 gamma_exercise 0.13968 0.10191 0.04910 gamma_home 0.84557 0.85427 0.71942 gamma_travel -0.03929 -0.36464 0.06730 gamma_other 0.08547 0.10309 0.14730 delta_dropOff 0.75758 0.82741 0.66741 delta_work 0.78929 0.88200 0.69745 delta_school 0.57455 0.60238 0.44598 delta_shopping 0.82332 0.88399 0.70511 delta_privBusiness 0.79821 0.85330 0.69487 delta_petrol 0.59558 0.65221 0.55086 delta_leisure 0.80632 0.89197 0.69317 delta_vacation 0.35677 0.40598 0.32709 delta_exercise 1.00000 0.82043 0.62152 delta_travel 0.82043 1.00000 0.66711 delta_other 0.62152 0.66711 1.00000 20 most extreme outliers in terms of lowest average per choice prediction: ID Avg prob per choice 3375723 1.787738e-09 7652039 4.106687e-08 6292582 4.389787e-08 1226238 6.550161e-08 6873173 1.040697e-07 2684804 1.497575e-07 2191235 2.442570e-07 3051038 2.605853e-07 8530000 2.829029e-07 2146576 3.516960e-07 5804392 4.033606e-07 9216479 4.701262e-07 4376416 6.485473e-07 1482825 8.088708e-07 9902059 9.757580e-07 9545640 9.938221e-07 7177352 1.138455e-06 1496531 1.202565e-06 6526613 1.205621e-06 8465193 1.219939e-06 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "MDCEV model on time use data, alpha-gamma profile, no outside good and constants only in utilities" indivID "indivID" outputDirectory "output/" debug "FALSE" modelName "MDCEV_no_outside_good" nCores "1" workInLogs "FALSE" seed "13" mixing "FALSE" HB "FALSE" noValidation "FALSE" noDiagnostics "FALSE" calculateLLC "TRUE" analyticHessian "FALSE" memorySaver "FALSE" panelData "TRUE" analyticGrad "TRUE" analyticGrad_manualSet "FALSE" overridePanel "FALSE" preventOverridePanel "FALSE" noModification "FALSE" Hessian routines attempted -------------------------- numerical second derivative of LL (using numDeriv) Scaling used in computing Hessian --------------------------------- Value gamma_dropOff 0.45379955 gamma_work 6.91983475 gamma_school 3.13137053 gamma_shopping 0.42558065 gamma_privBusiness 0.61733403 gamma_petrol 0.11693052 gamma_leisure 1.82730694 gamma_vacation 1.55712893 gamma_exercise 2.87581946 gamma_home 2.66398794 gamma_travel 0.20166103 gamma_other 1.66118681 delta_dropOff 3.57836251 delta_work 2.35206324 delta_school 5.19985083 delta_shopping 2.76150212 delta_privBusiness 3.23577749 delta_petrol 5.45228170 delta_leisure 2.62775788 delta_vacation 6.60975212 delta_exercise 3.52952991 delta_travel 0.07433951 delta_other 5.62281646 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 = alpha_generic, work = alpha_generic, school = alpha_generic, shopping = alpha_generic, privBusiness = alpha_generic, petrol = alpha_generic, leisure = alpha_generic, vacation = alpha_generic, exercise = alpha_generic, home = alpha_generic, travel = alpha_generic, other = alpha_generic) ### 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) }