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 : CNL_logistic_transform_for_alphas Model description : CNL model with socio-demographics on mode choice SP data, using logistic transform to ensure alphas meet constraints Model run at : 2025-09-19 11:40:08.189957 Estimation method : bgw Estimation diagnosis : Relative function convergence Optimisation diagnosis : Maximum found hessian properties : Negative definite maximum eigenvalue : -4.440286 reciprocal of condition number : 4.17331e-08 Number of individuals : 500 Number of rows in database : 7000 Number of modelled outcomes : 7000 Number of cores used : 1 Model without mixing LL(start) : -4830.94 LL at equal shares, LL(0) : -8196.02 LL at observed shares, LL(C) : -6706.94 LL(final) : -4742.25 Rho-squared vs equal shares : 0.4214 Adj.Rho-squared vs equal shares : 0.419 Rho-squared vs observed shares : 0.2929 Adj.Rho-squared vs observed shares : 0.2904 AIC : 9524.5 BIC : 9661.57 Estimated parameters : 20 Time taken (hh:mm:ss) : 00:00:7.84 pre-estimation : 00:00:0.27 estimation : 00:00:1.61 post-estimation : 00:00:5.96 Iterations : 7 Unconstrained optimisation. Estimates: Estimate s.e. t.rat.(0) t.rat(1) Rob.s.e. asc_car 0.000000 NA NA NA NA asc_bus 0.299051 0.445861 0.6707 -1.572 0.420738 asc_air -0.646437 0.292127 -2.2129 -5.636 0.285270 asc_rail -1.563614 0.287745 -5.4340 -8.909 0.278679 asc_bus_interaction_female 0.273635 0.105277 2.5992 -6.900 0.111520 asc_air_interaction_female 0.240318 0.076638 3.1358 -9.913 0.075900 asc_rail_interaction_female 0.178831 0.067296 2.6574 -12.202 0.067973 b_tt_car -0.010391 7.1322e-04 -14.5692 -1416.654 7.0558e-04 b_tt_bus -0.016555 0.001241 -13.3372 -818.974 0.001199 b_tt_air -0.013074 0.001943 -6.7299 -521.506 0.001956 b_tt_rail -0.005460 0.001284 -4.2521 -783.036 0.001253 b_tt_interaction_business -0.006010 5.1448e-04 -11.6819 -1955.391 4.7225e-04 b_access -0.017829 0.001983 -8.9919 -513.322 0.001894 b_cost -0.057587 0.002219 -25.9533 -476.632 0.002234 b_cost_interaction_business 0.023261 0.002199 10.5776 -444.164 0.002050 cost_income_elast -0.620998 0.030935 -20.0746 -52.401 0.031202 b_no_frills 0.000000 NA NA NA NA b_wifi 0.774407 0.043847 17.6615 -5.145 0.043516 b_food 0.337791 0.038453 8.7845 -17.221 0.040823 lambda_fastPT 0.401188 0.037274 10.7632 -16.065 0.041319 lambda_groundPT 0.528458 0.043297 12.2053 -10.891 0.045232 alpha_rail_fastPT_logistic -0.028384 0.214539 -0.1323 -4.793 0.206622 alpha_rail_groundPT_logistic 0.000000 NA NA NA NA Rob.t.rat.(0) Rob.t.rat.(1) asc_car NA NA asc_bus 0.7108 -1.666 asc_air -2.2661 -5.772 asc_rail -5.6108 -9.199 asc_bus_interaction_female 2.4537 -6.513 asc_air_interaction_female 3.1662 -10.009 asc_rail_interaction_female 2.6309 -12.081 b_tt_car -14.7270 -1431.999 b_tt_bus -13.8090 -847.943 b_tt_air -6.6836 -517.913 b_tt_rail -4.3591 -802.745 b_tt_interaction_business -12.7264 -2130.241 b_access -9.4113 -537.260 b_cost -25.7757 -473.370 b_cost_interaction_business 11.3476 -476.495 cost_income_elast -19.9023 -51.951 b_no_frills NA NA b_wifi 17.7958 -5.184 b_food 8.2745 -16.221 lambda_fastPT 9.7096 -14.493 lambda_groundPT 11.6834 -10.425 alpha_rail_fastPT_logistic -0.1374 -4.977 alpha_rail_groundPT_logistic NA NA Structure for CNL model component : car (alpha) bus (alpha) air (alpha) rail (alpha) lambda car nest 1.000 0.000 0.000 0.0000 1.0000 groundPT nest 0.000 1.000 0.000 0.5071 0.5285 fastPT nest 0.000 0.000 1.000 0.4929 0.4012 Overview of choices for CNL model component : car bus air rail Times available 5446.00 6314.00 5264.00 6118.00 Times chosen 1946.00 358.00 1522.00 3174.00 Percentage chosen overall 27.80 5.11 21.74 45.34 Percentage chosen when available 35.73 5.67 28.91 51.88 Classical covariance matrix: asc_bus asc_air asc_bus 0.198792 0.036424 asc_air 0.036424 0.085338 asc_rail 0.032361 0.050177 asc_bus_interaction_female -0.005656 -0.001679 asc_air_interaction_female -0.001462 -0.002844 asc_rail_interaction_female -0.001744 -0.001738 b_tt_car 1.0331e-04 1.4072e-04 b_tt_bus -4.5298e-04 3.323e-05 b_tt_air -2.366e-05 -3.3537e-04 b_tt_rail 1.284e-05 3.190e-06 b_tt_interaction_business 4.004e-06 9.549e-06 b_access -2.014e-05 -2.7134e-04 b_cost -3.230e-05 -2.501e-05 b_cost_interaction_business 4.413e-05 -3.684e-05 cost_income_elast -6.0895e-04 9.1816e-04 b_wifi 3.6874e-04 -0.001199 b_food -3.420e-05 -8.6769e-04 lambda_fastPT 1.669e-05 -6.5425e-04 lambda_groundPT 4.7274e-04 -4.660e-05 alpha_rail_fastPT_logistic -0.001600 -7.9294e-04 asc_rail asc_bus_interaction_female asc_bus 0.032361 -0.005656 asc_air 0.050177 -0.001679 asc_rail 0.082797 -0.001772 asc_bus_interaction_female -0.001772 0.011083 asc_air_interaction_female -0.001887 0.003092 asc_rail_interaction_female -0.002342 0.003366 b_tt_car 1.4838e-04 -1.386e-06 b_tt_bus 4.904e-05 -1.852e-06 b_tt_air -7.030e-06 -9.494e-07 b_tt_rail -2.3368e-04 -1.222e-06 b_tt_interaction_business 1.484e-05 4.581e-07 b_access -1.879e-05 4.742e-07 b_cost 3.228e-05 -1.066e-05 b_cost_interaction_business -9.833e-06 1.084e-05 cost_income_elast 3.4152e-04 -1.7148e-04 b_wifi -0.001609 8.079e-05 b_food -0.001162 9.814e-06 lambda_fastPT -7.0759e-04 1.0202e-04 lambda_groundPT -9.3957e-04 1.5929e-04 alpha_rail_fastPT_logistic 0.002129 -1.0171e-04 asc_air_interaction_female asc_rail_interaction_female asc_bus -0.001462 -0.001744 asc_air -0.002844 -0.001738 asc_rail -0.001887 -0.002342 asc_bus_interaction_female 0.003092 0.003366 asc_air_interaction_female 0.005873 0.003765 asc_rail_interaction_female 0.003765 0.004529 b_tt_car -1.047e-06 -5.129e-07 b_tt_bus -1.494e-06 -3.160e-07 b_tt_air -1.807e-06 -9.814e-07 b_tt_rail -1.448e-06 2.159e-07 b_tt_interaction_business -7.692e-07 -3.663e-07 b_access -1.886e-06 -2.359e-06 b_cost -6.843e-06 -3.207e-06 b_cost_interaction_business 1.491e-06 1.018e-06 cost_income_elast 1.868e-05 7.311e-06 b_wifi 1.0093e-04 3.347e-05 b_food 6.104e-05 4.888e-06 lambda_fastPT 2.316e-05 2.954e-05 lambda_groundPT 6.984e-05 1.317e-05 alpha_rail_fastPT_logistic -2.7400e-04 -1.305e-05 b_tt_car b_tt_bus asc_bus 1.0331e-04 -4.5298e-04 asc_air 1.4072e-04 3.323e-05 asc_rail 1.4838e-04 4.904e-05 asc_bus_interaction_female -1.386e-06 -1.852e-06 asc_air_interaction_female -1.047e-06 -1.494e-06 asc_rail_interaction_female -5.129e-07 -3.160e-07 b_tt_car 5.087e-07 2.034e-07 b_tt_bus 2.034e-07 1.541e-06 b_tt_air 5.111e-08 1.485e-07 b_tt_rail 2.485e-08 3.703e-08 b_tt_interaction_business -1.965e-08 -3.777e-08 b_access 6.436e-08 5.947e-08 b_cost 6.136e-07 9.924e-07 b_cost_interaction_business -4.208e-07 -7.698e-07 cost_income_elast -5.670e-07 2.473e-06 b_wifi -8.128e-06 -1.180e-05 b_food -3.659e-06 -4.488e-06 lambda_fastPT -3.955e-06 -6.944e-06 lambda_groundPT -6.392e-06 -1.338e-05 alpha_rail_fastPT_logistic 1.496e-05 1.693e-05 b_tt_air b_tt_rail asc_bus -2.366e-05 1.284e-05 asc_air -3.3537e-04 3.190e-06 asc_rail -7.030e-06 -2.3368e-04 asc_bus_interaction_female -9.494e-07 -1.222e-06 asc_air_interaction_female -1.807e-06 -1.448e-06 asc_rail_interaction_female -9.814e-07 2.159e-07 b_tt_car 5.111e-08 2.485e-08 b_tt_bus 1.485e-07 3.703e-08 b_tt_air 3.774e-06 -4.613e-08 b_tt_rail -4.613e-08 1.649e-06 b_tt_interaction_business -3.011e-08 -7.618e-08 b_access 1.288e-06 -1.708e-07 b_cost 1.131e-06 7.200e-07 b_cost_interaction_business -2.912e-07 -5.125e-07 cost_income_elast -7.036e-06 -2.594e-06 b_wifi -1.115e-05 -8.348e-06 b_food -5.920e-06 -3.363e-06 lambda_fastPT 4.386e-07 -2.617e-06 lambda_groundPT -1.165e-05 -3.865e-06 alpha_rail_fastPT_logistic 5.847e-05 1.041e-05 b_tt_interaction_business b_access asc_bus 4.004e-06 -2.014e-05 asc_air 9.549e-06 -2.7134e-04 asc_rail 1.484e-05 -1.879e-05 asc_bus_interaction_female 4.581e-07 4.742e-07 asc_air_interaction_female -7.692e-07 -1.886e-06 asc_rail_interaction_female -3.663e-07 -2.359e-06 b_tt_car -1.965e-08 6.436e-08 b_tt_bus -3.777e-08 5.947e-08 b_tt_air -3.011e-08 1.288e-06 b_tt_rail -7.618e-08 -1.708e-07 b_tt_interaction_business 2.647e-07 6.041e-08 b_access 6.041e-08 3.932e-06 b_cost -1.958e-07 1.002e-06 b_cost_interaction_business 7.255e-07 3.654e-08 cost_income_elast -5.060e-07 -6.611e-06 b_wifi -2.181e-06 -1.320e-05 b_food -1.226e-06 -5.811e-06 lambda_fastPT 4.638e-07 1.228e-06 lambda_groundPT -1.123e-07 -1.409e-05 alpha_rail_fastPT_logistic 1.632e-05 7.674e-05 b_cost b_cost_interaction_business asc_bus -3.230e-05 4.413e-05 asc_air -2.501e-05 -3.684e-05 asc_rail 3.228e-05 -9.833e-06 asc_bus_interaction_female -1.066e-05 1.084e-05 asc_air_interaction_female -6.843e-06 1.491e-06 asc_rail_interaction_female -3.207e-06 1.018e-06 b_tt_car 6.136e-07 -4.208e-07 b_tt_bus 9.924e-07 -7.698e-07 b_tt_air 1.131e-06 -2.912e-07 b_tt_rail 7.200e-07 -5.125e-07 b_tt_interaction_business -1.958e-07 7.255e-07 b_access 1.002e-06 3.654e-08 b_cost 4.923e-06 -3.197e-06 b_cost_interaction_business -3.197e-06 4.836e-06 cost_income_elast -1.825e-05 9.872e-08 b_wifi -4.792e-05 1.558e-05 b_food -2.095e-05 4.659e-06 lambda_fastPT -2.786e-05 2.411e-05 lambda_groundPT -4.289e-05 2.276e-05 alpha_rail_fastPT_logistic 1.1851e-04 3.164e-05 cost_income_elast b_wifi asc_bus -6.0895e-04 3.6874e-04 asc_air 9.1816e-04 -0.001199 asc_rail 3.4152e-04 -0.001609 asc_bus_interaction_female -1.7148e-04 8.079e-05 asc_air_interaction_female 1.868e-05 1.0093e-04 asc_rail_interaction_female 7.311e-06 3.347e-05 b_tt_car -5.670e-07 -8.128e-06 b_tt_bus 2.473e-06 -1.180e-05 b_tt_air -7.036e-06 -1.115e-05 b_tt_rail -2.594e-06 -8.348e-06 b_tt_interaction_business -5.060e-07 -2.181e-06 b_access -6.611e-06 -1.320e-05 b_cost -1.825e-05 -4.792e-05 b_cost_interaction_business 9.872e-08 1.558e-05 cost_income_elast 9.5695e-04 1.6662e-04 b_wifi 1.6662e-04 0.001923 b_food 1.1556e-04 0.001002 lambda_fastPT 2.527e-05 2.2136e-04 lambda_groundPT -1.5148e-04 5.9448e-04 alpha_rail_fastPT_logistic -8.4620e-04 -0.002693 b_food lambda_fastPT asc_bus -3.420e-05 1.669e-05 asc_air -8.6769e-04 -6.5425e-04 asc_rail -0.001162 -7.0759e-04 asc_bus_interaction_female 9.814e-06 1.0202e-04 asc_air_interaction_female 6.104e-05 2.316e-05 asc_rail_interaction_female 4.888e-06 2.954e-05 b_tt_car -3.659e-06 -3.955e-06 b_tt_bus -4.488e-06 -6.944e-06 b_tt_air -5.920e-06 4.386e-07 b_tt_rail -3.363e-06 -2.617e-06 b_tt_interaction_business -1.226e-06 4.638e-07 b_access -5.811e-06 1.228e-06 b_cost -2.095e-05 -2.786e-05 b_cost_interaction_business 4.659e-06 2.411e-05 cost_income_elast 1.1556e-04 2.527e-05 b_wifi 0.001002 2.2136e-04 b_food 0.001479 1.607e-05 lambda_fastPT 1.607e-05 0.001389 lambda_groundPT 2.6306e-04 -2.248e-05 alpha_rail_fastPT_logistic -0.001406 0.003904 lambda_groundPT alpha_rail_fastPT_logistic asc_bus 4.7274e-04 -0.001600 asc_air -4.660e-05 -7.9294e-04 asc_rail -9.3957e-04 0.002129 asc_bus_interaction_female 1.5929e-04 -1.0171e-04 asc_air_interaction_female 6.984e-05 -2.7400e-04 asc_rail_interaction_female 1.317e-05 -1.305e-05 b_tt_car -6.392e-06 1.496e-05 b_tt_bus -1.338e-05 1.693e-05 b_tt_air -1.165e-05 5.847e-05 b_tt_rail -3.865e-06 1.041e-05 b_tt_interaction_business -1.123e-07 1.632e-05 b_access -1.409e-05 7.674e-05 b_cost -4.289e-05 1.1851e-04 b_cost_interaction_business 2.276e-05 3.164e-05 cost_income_elast -1.5148e-04 -8.4620e-04 b_wifi 5.9448e-04 -0.002693 b_food 2.6306e-04 -0.001406 lambda_fastPT -2.248e-05 0.003904 lambda_groundPT 0.001875 -0.003714 alpha_rail_fastPT_logistic -0.003714 0.046027 Robust covariance matrix: asc_bus asc_air asc_bus 0.177021 0.031230 asc_air 0.031230 0.081379 asc_rail 0.030636 0.048658 asc_bus_interaction_female -0.004714 -9.3249e-04 asc_air_interaction_female 8.2537e-04 -0.002310 asc_rail_interaction_female -7.9093e-04 -0.001148 b_tt_car 9.518e-05 1.3598e-04 b_tt_bus -4.0541e-04 4.006e-05 b_tt_air -4.727e-05 -3.2725e-04 b_tt_rail 7.413e-08 -1.441e-06 b_tt_interaction_business 1.095e-05 1.855e-05 b_access 5.017e-05 -2.4901e-04 b_cost -4.224e-05 -2.178e-05 b_cost_interaction_business 8.366e-05 -2.633e-05 cost_income_elast -0.001381 9.4450e-04 b_wifi -4.7849e-04 -0.001038 b_food 5.8145e-04 -6.0373e-04 lambda_fastPT -4.4852e-04 -0.001338 lambda_groundPT 0.001666 0.001166 alpha_rail_fastPT_logistic -0.003247 -0.004416 asc_rail asc_bus_interaction_female asc_bus 0.030636 -0.004714 asc_air 0.048658 -9.3249e-04 asc_rail 0.077662 -9.3281e-04 asc_bus_interaction_female -9.3281e-04 0.012437 asc_air_interaction_female -0.002398 0.003264 asc_rail_interaction_female -0.001598 0.003735 b_tt_car 1.4001e-04 7.576e-07 b_tt_bus 4.285e-05 -3.522e-06 b_tt_air -9.990e-06 1.019e-05 b_tt_rail -2.1600e-04 -6.766e-07 b_tt_interaction_business 2.487e-05 1.043e-06 b_access -3.300e-05 -1.182e-05 b_cost 1.098e-05 -1.528e-05 b_cost_interaction_business 2.902e-05 1.258e-05 cost_income_elast 8.5456e-04 1.1573e-04 b_wifi -0.001152 8.730e-07 b_food -9.0038e-04 2.3761e-04 lambda_fastPT -7.3635e-04 1.4581e-04 lambda_groundPT -4.7396e-04 3.8625e-04 alpha_rail_fastPT_logistic -7.8849e-04 -3.0742e-04 asc_air_interaction_female asc_rail_interaction_female asc_bus 8.2537e-04 -7.9093e-04 asc_air -0.002310 -0.001148 asc_rail -0.002398 -0.001598 asc_bus_interaction_female 0.003264 0.003735 asc_air_interaction_female 0.005761 0.003890 asc_rail_interaction_female 0.003890 0.004620 b_tt_car -1.811e-06 1.426e-06 b_tt_bus -8.256e-06 -1.060e-06 b_tt_air -1.122e-07 4.975e-06 b_tt_rail 4.140e-06 1.797e-06 b_tt_interaction_business -7.040e-08 5.619e-07 b_access -4.309e-06 -2.443e-06 b_cost -1.786e-05 -8.248e-06 b_cost_interaction_business 1.205e-05 1.193e-05 cost_income_elast 2.5715e-04 1.9379e-04 b_wifi -4.205e-05 -8.594e-05 b_food -1.4095e-04 -9.297e-05 lambda_fastPT 6.031e-05 2.0246e-04 lambda_groundPT 5.495e-05 -1.5078e-04 alpha_rail_fastPT_logistic -1.1726e-04 7.9068e-04 b_tt_car b_tt_bus asc_bus 9.518e-05 -4.0541e-04 asc_air 1.3598e-04 4.006e-05 asc_rail 1.4001e-04 4.285e-05 asc_bus_interaction_female 7.576e-07 -3.522e-06 asc_air_interaction_female -1.811e-06 -8.256e-06 asc_rail_interaction_female 1.426e-06 -1.060e-06 b_tt_car 4.978e-07 2.138e-07 b_tt_bus 2.138e-07 1.437e-06 b_tt_air 6.848e-08 2.169e-07 b_tt_rail 5.554e-08 1.104e-07 b_tt_interaction_business -2.280e-10 -4.112e-08 b_access 6.205e-08 -8.929e-08 b_cost 5.979e-07 1.040e-06 b_cost_interaction_business -3.897e-07 -8.526e-07 cost_income_elast 5.439e-07 5.166e-06 b_wifi -7.087e-06 -9.068e-06 b_food -3.656e-06 -6.568e-06 lambda_fastPT -4.231e-06 -6.135e-06 lambda_groundPT -4.478e-06 -1.616e-05 alpha_rail_fastPT_logistic 4.657e-06 1.530e-05 b_tt_air b_tt_rail asc_bus -4.727e-05 7.413e-08 asc_air -3.2725e-04 -1.441e-06 asc_rail -9.990e-06 -2.1600e-04 asc_bus_interaction_female 1.019e-05 -6.766e-07 asc_air_interaction_female -1.122e-07 4.140e-06 asc_rail_interaction_female 4.975e-06 1.797e-06 b_tt_car 6.848e-08 5.554e-08 b_tt_bus 2.169e-07 1.104e-07 b_tt_air 3.826e-06 2.089e-08 b_tt_rail 2.089e-08 1.569e-06 b_tt_interaction_business -5.610e-08 -1.029e-07 b_access 1.208e-06 -6.281e-08 b_cost 9.779e-07 8.229e-07 b_cost_interaction_business -1.559e-07 -7.019e-07 cost_income_elast -5.489e-06 -4.914e-06 b_wifi -1.130e-05 -9.431e-06 b_food -9.770e-06 -4.923e-06 lambda_fastPT 8.460e-06 -4.041e-06 lambda_groundPT -1.534e-05 -1.421e-06 alpha_rail_fastPT_logistic 7.103e-05 8.423e-06 b_tt_interaction_business b_access asc_bus 1.095e-05 5.017e-05 asc_air 1.855e-05 -2.4901e-04 asc_rail 2.487e-05 -3.300e-05 asc_bus_interaction_female 1.043e-06 -1.182e-05 asc_air_interaction_female -7.040e-08 -4.309e-06 asc_rail_interaction_female 5.619e-07 -2.443e-06 b_tt_car -2.280e-10 6.205e-08 b_tt_bus -4.112e-08 -8.929e-08 b_tt_air -5.610e-08 1.208e-06 b_tt_rail -1.029e-07 -6.281e-08 b_tt_interaction_business 2.230e-07 5.355e-08 b_access 5.355e-08 3.589e-06 b_cost -2.039e-07 1.058e-06 b_cost_interaction_business 5.480e-07 -1.400e-07 cost_income_elast -5.179e-07 -3.763e-06 b_wifi -2.653e-06 -8.951e-06 b_food -1.299e-06 -4.878e-06 lambda_fastPT -5.798e-07 4.278e-06 lambda_groundPT -4.995e-07 -2.055e-05 alpha_rail_fastPT_logistic 1.761e-05 8.071e-05 b_cost b_cost_interaction_business asc_bus -4.224e-05 8.366e-05 asc_air -2.178e-05 -2.633e-05 asc_rail 1.098e-05 2.902e-05 asc_bus_interaction_female -1.528e-05 1.258e-05 asc_air_interaction_female -1.786e-05 1.205e-05 asc_rail_interaction_female -8.248e-06 1.193e-05 b_tt_car 5.979e-07 -3.897e-07 b_tt_bus 1.040e-06 -8.526e-07 b_tt_air 9.779e-07 -1.559e-07 b_tt_rail 8.229e-07 -7.019e-07 b_tt_interaction_business -2.039e-07 5.480e-07 b_access 1.058e-06 -1.400e-07 b_cost 4.991e-06 -3.298e-06 b_cost_interaction_business -3.298e-06 4.202e-06 cost_income_elast -1.718e-05 3.867e-08 b_wifi -4.503e-05 1.492e-05 b_food -2.039e-05 5.316e-06 lambda_fastPT -3.244e-05 2.330e-05 lambda_groundPT -4.605e-05 2.312e-05 alpha_rail_fastPT_logistic 8.632e-05 4.792e-05 cost_income_elast b_wifi asc_bus -0.001381 -4.7849e-04 asc_air 9.4450e-04 -0.001038 asc_rail 8.5456e-04 -0.001152 asc_bus_interaction_female 1.1573e-04 8.730e-07 asc_air_interaction_female 2.5715e-04 -4.205e-05 asc_rail_interaction_female 1.9379e-04 -8.594e-05 b_tt_car 5.439e-07 -7.087e-06 b_tt_bus 5.166e-06 -9.068e-06 b_tt_air -5.489e-06 -1.130e-05 b_tt_rail -4.914e-06 -9.431e-06 b_tt_interaction_business -5.179e-07 -2.653e-06 b_access -3.763e-06 -8.951e-06 b_cost -1.718e-05 -4.503e-05 b_cost_interaction_business 3.867e-08 1.492e-05 cost_income_elast 9.7359e-04 1.3038e-04 b_wifi 1.3038e-04 0.001894 b_food 3.530e-05 0.001055 lambda_fastPT 2.1630e-04 2.4139e-04 lambda_groundPT -2.1549e-04 5.4300e-04 alpha_rail_fastPT_logistic -1.4093e-04 -0.002064 b_food lambda_fastPT asc_bus 5.8145e-04 -4.4852e-04 asc_air -6.0373e-04 -0.001338 asc_rail -9.0038e-04 -7.3635e-04 asc_bus_interaction_female 2.3761e-04 1.4581e-04 asc_air_interaction_female -1.4095e-04 6.031e-05 asc_rail_interaction_female -9.297e-05 2.0246e-04 b_tt_car -3.656e-06 -4.231e-06 b_tt_bus -6.568e-06 -6.135e-06 b_tt_air -9.770e-06 8.460e-06 b_tt_rail -4.923e-06 -4.041e-06 b_tt_interaction_business -1.299e-06 -5.798e-07 b_access -4.878e-06 4.278e-06 b_cost -2.039e-05 -3.244e-05 b_cost_interaction_business 5.316e-06 2.330e-05 cost_income_elast 3.530e-05 2.1630e-04 b_wifi 0.001055 2.4139e-04 b_food 0.001667 -5.781e-05 lambda_fastPT -5.781e-05 0.001707 lambda_groundPT 2.8691e-04 -8.116e-05 alpha_rail_fastPT_logistic -0.001474 0.004341 lambda_groundPT alpha_rail_fastPT_logistic asc_bus 0.001666 -0.003247 asc_air 0.001166 -0.004416 asc_rail -4.7396e-04 -7.8849e-04 asc_bus_interaction_female 3.8625e-04 -3.0742e-04 asc_air_interaction_female 5.495e-05 -1.1726e-04 asc_rail_interaction_female -1.5078e-04 7.9068e-04 b_tt_car -4.478e-06 4.657e-06 b_tt_bus -1.616e-05 1.530e-05 b_tt_air -1.534e-05 7.103e-05 b_tt_rail -1.421e-06 8.423e-06 b_tt_interaction_business -4.995e-07 1.761e-05 b_access -2.055e-05 8.071e-05 b_cost -4.605e-05 8.632e-05 b_cost_interaction_business 2.312e-05 4.792e-05 cost_income_elast -2.1549e-04 -1.4093e-04 b_wifi 5.4300e-04 -0.002064 b_food 2.8691e-04 -0.001474 lambda_fastPT -8.116e-05 0.004341 lambda_groundPT 0.002046 -0.004126 alpha_rail_fastPT_logistic -0.004126 0.042693 Classical correlation matrix: asc_bus asc_air asc_bus 1.000000 0.279649 asc_air 0.279649 1.000000 asc_rail 0.252244 0.596933 asc_bus_interaction_female -0.120490 -0.054587 asc_air_interaction_female -0.042781 -0.127018 asc_rail_interaction_female -0.058118 -0.088412 b_tt_car 0.324885 0.675418 b_tt_bus -0.818500 0.091637 b_tt_air -0.027316 -0.590974 b_tt_rail 0.022429 0.008505 b_tt_interaction_business 0.017456 0.063534 b_access -0.022784 -0.468443 b_cost -0.032647 -0.038582 b_cost_interaction_business 0.045010 -0.057345 cost_income_elast -0.044151 0.101603 b_wifi 0.018862 -0.093634 b_food -0.001995 -0.077243 lambda_fastPT 0.001004 -0.060085 lambda_groundPT 0.024488 -0.003685 alpha_rail_fastPT_logistic -0.016725 -0.012652 asc_rail asc_bus_interaction_female asc_bus 0.25224 -0.120490 asc_air 0.59693 -0.054587 asc_rail 1.00000 -0.058497 asc_bus_interaction_female -0.05850 1.000000 asc_air_interaction_female -0.08559 0.383265 asc_rail_interaction_female -0.12095 0.475169 b_tt_car 0.72299 -0.018463 b_tt_bus 0.13730 -0.014175 b_tt_air -0.01258 -0.004643 b_tt_rail -0.63247 -0.009043 b_tt_interaction_business 0.10024 0.008457 b_access -0.03293 0.002272 b_cost 0.05056 -0.045642 b_cost_interaction_business -0.01554 0.046836 cost_income_elast 0.03837 -0.052655 b_wifi -0.12756 0.017501 b_food -0.10499 0.002424 lambda_fastPT -0.06597 0.025998 lambda_groundPT -0.07542 0.034945 alpha_rail_fastPT_logistic 0.03448 -0.004503 asc_air_interaction_female asc_rail_interaction_female asc_bus -0.042781 -0.058118 asc_air -0.127018 -0.088412 asc_rail -0.085588 -0.120945 asc_bus_interaction_female 0.383265 0.475169 asc_air_interaction_female 1.000000 0.730097 asc_rail_interaction_female 0.730097 1.000000 b_tt_car -0.019153 -0.010686 b_tt_bus -0.015702 -0.003783 b_tt_air -0.012136 -0.007507 b_tt_rail -0.014716 0.002499 b_tt_interaction_business -0.019510 -0.010581 b_access -0.012412 -0.017681 b_cost -0.040240 -0.021476 b_cost_interaction_business 0.008849 0.006876 cost_income_elast 0.007879 0.003512 b_wifi 0.030036 0.011342 b_food 0.020712 0.001889 lambda_fastPT 0.008109 0.011777 lambda_groundPT 0.021048 0.004521 alpha_rail_fastPT_logistic -0.016665 -9.0356e-04 b_tt_car b_tt_bus asc_bus 0.32489 -0.818500 asc_air 0.67542 0.091637 asc_rail 0.72299 0.137304 asc_bus_interaction_female -0.01846 -0.014175 asc_air_interaction_female -0.01915 -0.015702 asc_rail_interaction_female -0.01069 -0.003783 b_tt_car 1.00000 0.229757 b_tt_bus 0.22976 1.000000 b_tt_air 0.03689 0.061571 b_tt_rail 0.02714 0.023236 b_tt_interaction_business -0.05356 -0.059143 b_access 0.04551 0.024162 b_cost 0.38773 0.360318 b_cost_interaction_business -0.26828 -0.282026 cost_income_elast -0.02570 0.064394 b_wifi -0.25989 -0.216774 b_food -0.13343 -0.094032 lambda_fastPT -0.14878 -0.150078 lambda_groundPT -0.20700 -0.248914 alpha_rail_fastPT_logistic 0.09778 0.063569 b_tt_air b_tt_rail asc_bus -0.027316 0.022429 asc_air -0.590974 0.008505 asc_rail -0.012576 -0.632468 asc_bus_interaction_female -0.004643 -0.009043 asc_air_interaction_female -0.012136 -0.014716 asc_rail_interaction_female -0.007507 0.002499 b_tt_car 0.036890 0.027139 b_tt_bus 0.061571 0.023236 b_tt_air 1.000000 -0.018493 b_tt_rail -0.018493 1.000000 b_tt_interaction_business -0.030125 -0.115311 b_access 0.334494 -0.067101 b_cost 0.262304 0.252708 b_cost_interaction_business -0.068160 -0.181488 cost_income_elast -0.117090 -0.065297 b_wifi -0.130863 -0.148263 b_food -0.079248 -0.068114 lambda_fastPT 0.006057 -0.054677 lambda_groundPT -0.138547 -0.069514 alpha_rail_fastPT_logistic 0.140291 0.037803 b_tt_interaction_business b_access asc_bus 0.017456 -0.022784 asc_air 0.063534 -0.468443 asc_rail 0.100242 -0.032930 asc_bus_interaction_female 0.008457 0.002272 asc_air_interaction_female -0.019510 -0.012412 asc_rail_interaction_female -0.010581 -0.017681 b_tt_car -0.053557 0.045513 b_tt_bus -0.059143 0.024162 b_tt_air -0.030125 0.334494 b_tt_rail -0.115311 -0.067101 b_tt_interaction_business 1.000000 0.059220 b_access 0.059220 1.000000 b_cost -0.171505 0.227835 b_cost_interaction_business 0.641229 0.008380 cost_income_elast -0.031792 -0.107782 b_wifi -0.096688 -0.151863 b_food -0.061963 -0.076218 lambda_fastPT 0.024186 0.016617 lambda_groundPT -0.005040 -0.164130 alpha_rail_fastPT_logistic 0.147870 0.180401 b_cost b_cost_interaction_business asc_bus -0.03265 0.045010 asc_air -0.03858 -0.057345 asc_rail 0.05056 -0.015540 asc_bus_interaction_female -0.04564 0.046836 asc_air_interaction_female -0.04024 0.008849 asc_rail_interaction_female -0.02148 0.006876 b_tt_car 0.38773 -0.268281 b_tt_bus 0.36032 -0.282026 b_tt_air 0.26230 -0.068160 b_tt_rail 0.25271 -0.181488 b_tt_interaction_business -0.17150 0.641229 b_access 0.22783 0.008380 b_cost 1.00000 -0.655138 b_cost_interaction_business -0.65514 1.000000 cost_income_elast -0.26591 0.001451 b_wifi -0.49254 0.161620 b_food -0.24550 0.055091 lambda_fastPT -0.33680 0.294172 lambda_groundPT -0.44647 0.239050 alpha_rail_fastPT_logistic 0.24894 0.067072 cost_income_elast b_wifi asc_bus -0.044151 0.01886 asc_air 0.101603 -0.09363 asc_rail 0.038367 -0.12756 asc_bus_interaction_female -0.052655 0.01750 asc_air_interaction_female 0.007879 0.03004 asc_rail_interaction_female 0.003512 0.01134 b_tt_car -0.025699 -0.25989 b_tt_bus 0.064394 -0.21677 b_tt_air -0.117090 -0.13086 b_tt_rail -0.065297 -0.14826 b_tt_interaction_business -0.031792 -0.09669 b_access -0.107782 -0.15186 b_cost -0.265906 -0.49254 b_cost_interaction_business 0.001451 0.16162 cost_income_elast 1.000000 0.12284 b_wifi 0.122837 1.00000 b_food 0.097144 0.59412 lambda_fastPT 0.021913 0.13544 lambda_groundPT -0.113093 0.31314 alpha_rail_fastPT_logistic -0.127504 -0.28624 b_food lambda_fastPT asc_bus -0.001995 0.001004 asc_air -0.077243 -0.060085 asc_rail -0.104992 -0.065973 asc_bus_interaction_female 0.002424 0.025998 asc_air_interaction_female 0.020712 0.008109 asc_rail_interaction_female 0.001889 0.011777 b_tt_car -0.133427 -0.148776 b_tt_bus -0.094032 -0.150078 b_tt_air -0.079248 0.006057 b_tt_rail -0.068114 -0.054677 b_tt_interaction_business -0.061963 0.024186 b_access -0.076218 0.016617 b_cost -0.245498 -0.336799 b_cost_interaction_business 0.055091 0.294172 cost_income_elast 0.097144 0.021913 b_wifi 0.594117 0.135439 b_food 1.000000 0.011212 lambda_fastPT 0.011212 1.000000 lambda_groundPT 0.158005 -0.013928 alpha_rail_fastPT_logistic -0.170488 0.488198 lambda_groundPT alpha_rail_fastPT_logistic asc_bus 0.024488 -0.016725 asc_air -0.003685 -0.012652 asc_rail -0.075415 0.034480 asc_bus_interaction_female 0.034945 -0.004503 asc_air_interaction_female 0.021048 -0.016665 asc_rail_interaction_female 0.004521 -9.0356e-04 b_tt_car -0.207001 0.097778 b_tt_bus -0.248914 0.063569 b_tt_air -0.138547 0.140291 b_tt_rail -0.069514 0.037803 b_tt_interaction_business -0.005040 0.147870 b_access -0.164130 0.180401 b_cost -0.446472 0.248944 b_cost_interaction_business 0.239050 0.067072 cost_income_elast -0.113093 -0.127504 b_wifi 0.313139 -0.286242 b_food 0.158005 -0.170488 lambda_fastPT -0.013928 0.488198 lambda_groundPT 1.000000 -0.399798 alpha_rail_fastPT_logistic -0.399798 1.000000 Robust correlation matrix: asc_bus asc_air asc_bus 1.00000 0.260201 asc_air 0.26020 1.000000 asc_rail 0.26128 0.612057 asc_bus_interaction_female -0.10046 -0.029311 asc_air_interaction_female 0.02585 -0.106682 asc_rail_interaction_female -0.02766 -0.059198 b_tt_car 0.32062 0.675558 b_tt_bus -0.80374 0.117150 b_tt_air -0.05743 -0.586459 b_tt_rail 1.4067e-04 -0.004033 b_tt_interaction_business 0.05509 0.137681 b_access 0.06294 -0.460757 b_cost -0.04494 -0.034173 b_cost_interaction_business 0.09700 -0.045027 cost_income_elast -0.10518 0.106110 b_wifi -0.02613 -0.083606 b_food 0.03385 -0.051842 lambda_fastPT -0.02580 -0.113522 lambda_groundPT 0.08753 0.090342 alpha_rail_fastPT_logistic -0.03735 -0.074928 asc_rail asc_bus_interaction_female asc_bus 0.26128 -0.100464 asc_air 0.61206 -0.029311 asc_rail 1.00000 -0.030015 asc_bus_interaction_female -0.03001 1.000000 asc_air_interaction_female -0.11339 0.385664 asc_rail_interaction_female -0.08434 0.492669 b_tt_car 0.71206 0.009628 b_tt_bus 0.12824 -0.026346 b_tt_air -0.01833 0.046707 b_tt_rail -0.61883 -0.004844 b_tt_interaction_business 0.18895 0.019802 b_access -0.06251 -0.055925 b_cost 0.01763 -0.061317 b_cost_interaction_business 0.05080 0.055010 cost_income_elast 0.09828 0.033258 b_wifi -0.09501 1.7990e-04 b_food -0.07914 0.052192 lambda_fastPT -0.06395 0.031644 lambda_groundPT -0.03760 0.076572 alpha_rail_fastPT_logistic -0.01369 -0.013342 asc_air_interaction_female asc_rail_interaction_female asc_bus 0.025846 -0.02766 asc_air -0.106682 -0.05920 asc_rail -0.113389 -0.08434 asc_bus_interaction_female 0.385664 0.49267 asc_air_interaction_female 1.000000 0.75394 asc_rail_interaction_female 0.753943 1.00000 b_tt_car -0.033819 0.02974 b_tt_bus -0.090733 -0.01301 b_tt_air -7.5595e-04 0.03742 b_tt_rail 0.043553 0.02110 b_tt_interaction_business -0.001964 0.01750 b_access -0.029968 -0.01897 b_cost -0.105338 -0.05431 b_cost_interaction_business 0.077473 0.08561 cost_income_elast 0.108580 0.09137 b_wifi -0.012732 -0.02905 b_food -0.045490 -0.03351 lambda_fastPT 0.019230 0.07209 lambda_groundPT 0.016007 -0.04904 alpha_rail_fastPT_logistic -0.007477 0.05630 b_tt_car b_tt_bus asc_bus 0.320620 -0.80374 asc_air 0.675558 0.11715 asc_rail 0.712064 0.12824 asc_bus_interaction_female 0.009628 -0.02635 asc_air_interaction_female -0.033819 -0.09073 asc_rail_interaction_female 0.029741 -0.01301 b_tt_car 1.000000 0.25274 b_tt_bus 0.252739 1.00000 b_tt_air 0.049618 0.09249 b_tt_rail 0.062841 0.07351 b_tt_interaction_business -6.8419e-04 -0.07263 b_access 0.046420 -0.03932 b_cost 0.379296 0.38845 b_cost_interaction_business -0.269441 -0.34695 cost_income_elast 0.024706 0.13810 b_wifi -0.230829 -0.17382 b_food -0.126925 -0.13420 lambda_fastPT -0.145144 -0.12386 lambda_groundPT -0.140301 -0.29793 alpha_rail_fastPT_logistic 0.031944 0.06177 b_tt_air b_tt_rail asc_bus -0.057432 1.4067e-04 asc_air -0.586459 -0.004033 asc_rail -0.018327 -0.618827 asc_bus_interaction_female 0.046707 -0.004844 asc_air_interaction_female -7.5595e-04 0.043553 asc_rail_interaction_female 0.037419 0.021105 b_tt_car 0.049618 0.062841 b_tt_bus 0.092490 0.073506 b_tt_air 1.000000 0.008525 b_tt_rail 0.008525 1.000000 b_tt_interaction_business -0.060726 -0.173990 b_access 0.325993 -0.026472 b_cost 0.223778 0.294052 b_cost_interaction_business -0.038877 -0.273385 cost_income_elast -0.089925 -0.125745 b_wifi -0.132752 -0.173032 b_food -0.122346 -0.096283 lambda_fastPT 0.104670 -0.078082 lambda_groundPT -0.173398 -0.025080 alpha_rail_fastPT_logistic 0.175750 0.032546 b_tt_interaction_business b_access asc_bus 0.055086 0.06294 asc_air 0.137681 -0.46076 asc_rail 0.188950 -0.06251 asc_bus_interaction_female 0.019802 -0.05593 asc_air_interaction_female -0.001964 -0.02997 asc_rail_interaction_female 0.017504 -0.01897 b_tt_car -6.8419e-04 0.04642 b_tt_bus -0.072635 -0.03932 b_tt_air -0.060726 0.32599 b_tt_rail -0.173990 -0.02647 b_tt_interaction_business 1.000000 0.05985 b_access 0.059852 1.00000 b_cost -0.193258 0.24997 b_cost_interaction_business 0.566066 -0.03605 cost_income_elast -0.035143 -0.06365 b_wifi -0.129073 -0.10858 b_food -0.067373 -0.06308 lambda_fastPT -0.029711 0.05465 lambda_groundPT -0.023383 -0.23987 alpha_rail_fastPT_logistic 0.180469 0.20619 b_cost b_cost_interaction_business asc_bus -0.04494 0.09700 asc_air -0.03417 -0.04503 asc_rail 0.01763 0.05080 asc_bus_interaction_female -0.06132 0.05501 asc_air_interaction_female -0.10534 0.07747 asc_rail_interaction_female -0.05431 0.08561 b_tt_car 0.37930 -0.26944 b_tt_bus 0.38845 -0.34695 b_tt_air 0.22378 -0.03888 b_tt_rail 0.29405 -0.27339 b_tt_interaction_business -0.19326 0.56607 b_access 0.24997 -0.03605 b_cost 1.00000 -0.72017 b_cost_interaction_business -0.72017 1.00000 cost_income_elast -0.24647 6.0465e-04 b_wifi -0.46315 0.16730 b_food -0.22353 0.06353 lambda_fastPT -0.35137 0.27509 lambda_groundPT -0.45571 0.24933 alpha_rail_fastPT_logistic 0.18699 0.11314 cost_income_elast b_wifi asc_bus -0.10518 -0.02613 asc_air 0.10611 -0.08361 asc_rail 0.09828 -0.09501 asc_bus_interaction_female 0.03326 1.7990e-04 asc_air_interaction_female 0.10858 -0.01273 asc_rail_interaction_female 0.09137 -0.02905 b_tt_car 0.02471 -0.23083 b_tt_bus 0.13810 -0.17382 b_tt_air -0.08993 -0.13275 b_tt_rail -0.12574 -0.17303 b_tt_interaction_business -0.03514 -0.12907 b_access -0.06365 -0.10858 b_cost -0.24647 -0.46315 b_cost_interaction_business 6.0465e-04 0.16730 cost_income_elast 1.00000 0.09602 b_wifi 0.09602 1.00000 b_food 0.02772 0.59364 lambda_fastPT 0.16777 0.13425 lambda_groundPT -0.15268 0.27587 alpha_rail_fastPT_logistic -0.02186 -0.22957 b_food lambda_fastPT asc_bus 0.03385 -0.02580 asc_air -0.05184 -0.11352 asc_rail -0.07914 -0.06395 asc_bus_interaction_female 0.05219 0.03164 asc_air_interaction_female -0.04549 0.01923 asc_rail_interaction_female -0.03351 0.07209 b_tt_car -0.12693 -0.14514 b_tt_bus -0.13420 -0.12386 b_tt_air -0.12235 0.10467 b_tt_rail -0.09628 -0.07808 b_tt_interaction_business -0.06737 -0.02971 b_access -0.06308 0.05465 b_cost -0.22353 -0.35137 b_cost_interaction_business 0.06353 0.27509 cost_income_elast 0.02772 0.16777 b_wifi 0.59364 0.13425 b_food 1.00000 -0.03427 lambda_fastPT -0.03427 1.00000 lambda_groundPT 0.15538 -0.04342 alpha_rail_fastPT_logistic -0.17473 0.50849 lambda_groundPT alpha_rail_fastPT_logistic asc_bus 0.08753 -0.037353 asc_air 0.09034 -0.074928 asc_rail -0.03760 -0.013694 asc_bus_interaction_female 0.07657 -0.013342 asc_air_interaction_female 0.01601 -0.007477 asc_rail_interaction_female -0.04904 0.056297 b_tt_car -0.14030 0.031944 b_tt_bus -0.29793 0.061774 b_tt_air -0.17340 0.175750 b_tt_rail -0.02508 0.032546 b_tt_interaction_business -0.02338 0.180469 b_access -0.23987 0.206186 b_cost -0.45571 0.186989 b_cost_interaction_business 0.24933 0.113140 cost_income_elast -0.15268 -0.021859 b_wifi 0.27587 -0.229568 b_food 0.15538 -0.174729 lambda_fastPT -0.04342 0.508488 lambda_groundPT 1.00000 -0.441521 alpha_rail_fastPT_logistic -0.44152 1.000000 20 most extreme outliers in terms of lowest average per choice prediction: ID Avg prob per choice 400 0.2057397 464 0.2468188 181 0.2623606 146 0.2670324 317 0.2733118 276 0.2772067 370 0.2807018 447 0.2859800 367 0.2879348 161 0.2892149 59 0.2933235 434 0.2937537 379 0.2970110 307 0.2971935 293 0.2974699 73 0.2975948 186 0.2994404 259 0.2999602 441 0.3017748 467 0.3053896 Settings and functions used in model definition: apollo_control -------------- Value modelDescr "CNL model with socio-demographics on mode choice SP data, using logistic transform to ensure alphas meet constraints" indivID "ID" outputDirectory "output/" debug "FALSE" modelName "CNL_logistic_transform_for_alphas" 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 asc_bus 0.299050577 asc_air 0.646437436 asc_rail 1.563613901 asc_bus_interaction_female 0.273635337 asc_air_interaction_female 0.240318321 asc_rail_interaction_female 0.178831483 b_tt_car 0.010391109 b_tt_bus 0.016554873 b_tt_air 0.013073550 b_tt_rail 0.005459900 b_tt_interaction_business 0.006010085 b_access 0.017829486 b_cost 0.057587147 b_cost_interaction_business 0.023260691 cost_income_elast 0.620997768 b_wifi 0.774407319 b_food 0.337791291 lambda_fastPT 0.401187768 lambda_groundPT 0.528458292 alpha_rail_fastPT_logistic 0.028383569 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() ### Create alternative specific constants and coefficients using interactions with socio-demographics asc_bus_value = asc_bus + asc_bus_interaction_female * female asc_air_value = asc_air + asc_air_interaction_female * female asc_rail_value = asc_rail + asc_rail_interaction_female * female b_tt_car_value = b_tt_car + b_tt_interaction_business * business b_tt_bus_value = b_tt_bus + b_tt_interaction_business * business b_tt_air_value = b_tt_air + b_tt_interaction_business * business b_tt_rail_value = b_tt_rail + b_tt_interaction_business * business b_cost_value = ( b_cost + b_cost_interaction_business * business ) * ( income / mean_income ) ^ cost_income_elast ### List of utilities: these must use the same names as in cnl_settings, order is irrelevant V = list() V[["car"]] = asc_car + b_tt_car_value * time_car + b_cost_value * cost_car V[["bus"]] = asc_bus_value + b_tt_bus_value * time_bus + b_access * access_bus + b_cost_value * cost_bus V[["air"]] = asc_air_value + b_tt_air_value * time_air + b_access * access_air + b_cost_value * cost_air + b_no_frills * ( service_air == 1 ) + b_wifi * ( service_air == 2 ) + b_food * ( service_air == 3 ) V[["rail"]] = asc_rail_value + b_tt_rail_value * time_rail + b_access * access_rail + b_cost_value * cost_rail + b_no_frills * ( service_rail == 1 ) + b_wifi * ( service_rail == 2 ) + b_food * ( service_rail == 3 ) ### Specify nests for CNL model cnlNests = list(car=1,groundPT=lambda_groundPT,fastPT=lambda_fastPT) ### Specify nest allocation parameters for alternatives included in multiple nests ### logistic transform to ensure values between 0 and 1, and summing to 1 alpha_rail_fastPT = exp(alpha_rail_fastPT_logistic)/(exp(alpha_rail_fastPT_logistic)+exp(alpha_rail_groundPT_logistic)) alpha_rail_groundPT = 1 - alpha_rail_fastPT ### Specify tree structure, showing membership in nests (one row per nest, one column per alternative) cnlStructure = matrix(0, nrow=length(cnlNests), ncol=length(V)) cnlStructure[1,] = c( 1, 0, 0, 0 ) # car cnlStructure[2,] = c( 0, 1, 0, alpha_rail_groundPT) # groundPT cnlStructure[3,] = c( 0, 0, 1, alpha_rail_fastPT ) # fastPT ### Define settings for CNL model cnl_settings = list( alternatives = c(car=1, bus=2, air=3, rail=4), avail = list(car=av_car, bus=av_bus, air=av_air, rail=av_rail), choiceVar = choice, utilities = V, cnlNests = cnlNests, cnlStructure = cnlStructure ) ### Compute probabilities using CNL model P[["model"]] = apollo_cnl(cnl_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) }