biogeme 3.2.8 [2021-07-26]
Python package
Home page: http://biogeme.epfl.ch
Submit questions to https://groups.google.com/d/forum/biogeme
Michel Bierlaire, Transport and Mobility Laboratory, Ecole Polytechnique Fédérale de Lausanne (EPFL)
This file has automatically been generated on 2021-07-27 09:17:09.981863
| Report file: | 15panelDiscrete.html |
| Database name: | swissmetro |
| Number of estimated parameters: | 15 |
| Sample size: | 752 |
| Observations: | 6768 |
| Excluded observations: | 3960 |
| Init log likelihood: | -4898.295 |
| Final log likelihood: | -3526.939 |
| Likelihood ratio test for the init. model: | 2742.713 |
| Rho-square for the init. model: | 0.28 |
| Rho-square-bar for the init. model: | 0.277 |
| Akaike Information Criterion: | 7083.878 |
| Bayesian Information Criterion: | 7153.219 |
| Final gradient norm: | 7.6141E-03 |
| Number of draws: | 100000 |
| Draws generation time: | 0:03:17.824475 |
| Types of draws: | ['ASC_CAR_RND_class0: NORMAL_ANTI', 'ASC_CAR_RND_class1: NORMAL_ANTI', 'ASC_SM_RND_class0: NORMAL_ANTI', 'ASC_SM_RND_class1: NORMAL_ANTI', 'ASC_TRAIN_RND_class0: NORMAL_ANTI', 'ASC_TRAIN_RND_class1: NORMAL_ANTI', 'B_TIME_RND_class1: NORMAL_ANTI'] |
| Nbr of threads: | 36 |
| Algorithm: | Newton with trust region for simple bound constraints |
| Proportion analytical hessian: | 100.0% |
| Relative projected gradient: | 2.956639e-06 |
| Relative change: | 0.07757434781874066 |
| Number of iterations: | 22 |
| Number of function evaluations: | 53 |
| Number of gradient evaluations: | 16 |
| Number of hessian evaluations: | 16 |
| Cause of termination: | Relative gradient = 3e-06 <= 6.1e-06 |
| Optimization time: | 13:51:41.106782 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|
| ASC_CAR_S_class0 | 5.73 | 1.79 | 3.21 | 0.00134 | 2.3 | 2.5 | 0.0125 |
| ASC_CAR_S_class1 | 2.78 | 0.284 | 9.77 | 0 | 0.318 | 8.74 | 0 |
| ASC_CAR_class0 | -4.78 | 1.86 | -2.57 | 0.0102 | 2.53 | -1.89 | 0.0594 |
| ASC_CAR_class1 | 1.08 | 0.252 | 4.29 | 1.81e-05 | 0.309 | 3.49 | 0.000486 |
| ASC_SM_S_class0 | 0.152 | 8.77 | 0.0173 | 0.986 | 6.52 | 0.0233 | 0.981 |
| ASC_SM_S_class1 | -1.87 | 0.329 | -5.7 | 1.2e-08 | 0.347 | -5.4 | 6.73e-08 |
| ASC_TRAIN_S_class0 | 3.1 | 0.784 | 3.95 | 7.72e-05 | 0.785 | 3.94 | 8.01e-05 |
| ASC_TRAIN_S_class1 | 1.51 | 0.509 | 2.97 | 0.00299 | 0.506 | 2.99 | 0.00279 |
| ASC_TRAIN_class0 | -1.1 | 0.669 | -1.65 | 0.0986 | 0.699 | -1.58 | 0.114 |
| ASC_TRAIN_class1 | -0.225 | 0.309 | -0.729 | 0.466 | 0.354 | -0.636 | 0.525 |
| B_COST_class0 | -1.22 | 0.512 | -2.39 | 0.017 | 0.602 | -2.03 | 0.042 |
| B_COST_class1 | -4.83 | 0.314 | -15.4 | 0 | 0.401 | -12 | 0 |
| B_TIME_S_class1 | 3.4 | 0.356 | 9.54 | 0 | 0.38 | 8.95 | 0 |
| B_TIME_class1 | -7.09 | 0.457 | -15.5 | 0 | 0.572 | -12.4 | 0 |
| PROB_class0 | 0.155 | 0.0288 | 5.37 | 7.81e-08 | 0.0288 | 5.37 | 8e-08 |
| Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | Rob. cov. | Rob. corr. | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|---|---|
| ASC_CAR_S_class1 | ASC_CAR_S_class0 | -0.136 | -0.268 | -1.57 | 0.117 | -0.282 | -0.387 | -1.21 | 0.225 |
| ASC_CAR_class0 | ASC_CAR_S_class0 | -2.48 | -0.745 | -3.09 | 0.00203 | -4.95 | -0.851 | -2.26 | 0.0237 |
| ASC_CAR_class0 | ASC_CAR_S_class1 | 0.133 | 0.251 | -4.18 | 2.96e-05 | 0.292 | 0.362 | -3.1 | 0.00193 |
| ASC_CAR_class1 | ASC_CAR_S_class0 | -0.0662 | -0.147 | -2.53 | 0.0115 | -0.0896 | -0.126 | -1.98 | 0.0482 |
| ASC_CAR_class1 | ASC_CAR_S_class1 | -0.00338 | -0.0472 | -4.38 | 1.21e-05 | 0.00599 | 0.061 | -3.96 | 7.65e-05 |
| ASC_CAR_class1 | ASC_CAR_class0 | -0.0255 | -0.0546 | 3.1 | 0.00195 | -0.0701 | -0.0895 | 2.27 | 0.0232 |
| ASC_SM_S_class0 | ASC_CAR_S_class0 | -0.129 | -0.00822 | -0.622 | 0.534 | -0.191 | -0.0127 | -0.804 | 0.422 |
| ASC_SM_S_class0 | ASC_CAR_S_class1 | 0.037 | 0.0148 | -0.299 | 0.765 | 0.0417 | 0.0201 | -0.402 | 0.687 |
| ASC_SM_S_class0 | ASC_CAR_class0 | 4.63 | 0.284 | 0.584 | 0.559 | 6.98 | 0.422 | 0.833 | 0.405 |
| ASC_SM_S_class0 | ASC_CAR_class1 | -0.454 | -0.206 | -0.105 | 0.916 | -0.827 | -0.41 | -0.139 | 0.889 |
| ASC_SM_S_class1 | ASC_CAR_S_class0 | 0.0622 | 0.106 | -4.27 | 1.98e-05 | 0.0951 | 0.119 | -3.33 | 0.000855 |
| ASC_SM_S_class1 | ASC_CAR_S_class1 | 0.0224 | 0.24 | -12.3 | 0 | 0.0197 | 0.179 | -10.9 | 0 |
| ASC_SM_S_class1 | ASC_CAR_class0 | -0.00201 | -0.00329 | 1.54 | 0.124 | -0.00294 | -0.00335 | 1.13 | 0.257 |
| ASC_SM_S_class1 | ASC_CAR_class1 | -0.0269 | -0.325 | -6.22 | 4.91e-10 | -0.041 | -0.382 | -5.41 | 6.38e-08 |
| ASC_SM_S_class1 | ASC_SM_S_class0 | 0.377 | 0.131 | -0.232 | 0.817 | 0.425 | 0.188 | -0.313 | 0.754 |
| ASC_TRAIN_S_class0 | ASC_CAR_S_class0 | 0.0654 | 0.0467 | -1.37 | 0.169 | -0.0079 | -0.00438 | -1.08 | 0.278 |
| ASC_TRAIN_S_class0 | ASC_CAR_S_class1 | 0.015 | 0.0672 | 0.392 | 0.695 | 0.0261 | 0.105 | 0.392 | 0.695 |
| ASC_TRAIN_S_class0 | ASC_CAR_class0 | -0.287 | -0.197 | 3.65 | 0.000258 | -0.387 | -0.195 | 2.82 | 0.00483 |
| ASC_TRAIN_S_class0 | ASC_CAR_class1 | 0.0268 | 0.136 | 2.56 | 0.0106 | 0.0485 | 0.2 | 2.57 | 0.0101 |
| ASC_TRAIN_S_class0 | ASC_SM_S_class0 | -4.31 | -0.627 | 0.317 | 0.751 | -2.82 | -0.551 | 0.422 | 0.673 |
| ASC_TRAIN_S_class0 | ASC_SM_S_class1 | 0.0327 | 0.127 | 6.13 | 8.58e-10 | 0.0429 | 0.157 | 6.16 | 7.32e-10 |
| ASC_TRAIN_S_class1 | ASC_CAR_S_class0 | 0.0751 | 0.0825 | -2.32 | 0.0202 | 0.154 | 0.133 | -1.85 | 0.0647 |
| ASC_TRAIN_S_class1 | ASC_CAR_S_class1 | 0.000337 | 0.00232 | -2.17 | 0.0299 | -0.0159 | -0.0989 | -2.03 | 0.0424 |
| ASC_TRAIN_S_class1 | ASC_CAR_class0 | -0.0246 | -0.026 | 3.24 | 0.00119 | -0.0732 | -0.0571 | 2.41 | 0.016 |
| ASC_TRAIN_S_class1 | ASC_CAR_class1 | -0.0268 | -0.209 | 0.707 | 0.48 | -0.046 | -0.294 | 0.652 | 0.515 |
| ASC_TRAIN_S_class1 | ASC_SM_S_class0 | 0.441 | 0.0986 | 0.156 | 0.876 | 0.489 | 0.148 | 0.21 | 0.833 |
| ASC_TRAIN_S_class1 | ASC_SM_S_class1 | 0.0622 | 0.371 | 6.87 | 6.65e-12 | 0.0557 | 0.317 | 6.58 | 4.74e-11 |
| ASC_TRAIN_S_class1 | ASC_TRAIN_S_class0 | -0.0938 | -0.235 | -1.54 | 0.124 | -0.123 | -0.309 | -1.5 | 0.134 |
| ASC_TRAIN_class0 | ASC_CAR_S_class0 | 0.147 | 0.123 | -3.74 | 0.000186 | 0.335 | 0.208 | -3.03 | 0.00245 |
| ASC_TRAIN_class0 | ASC_CAR_S_class1 | -0.0102 | -0.0538 | -5.24 | 1.58e-07 | -0.0255 | -0.115 | -4.85 | 1.24e-06 |
| ASC_TRAIN_class0 | ASC_CAR_class0 | 0.0362 | 0.0292 | 1.88 | 0.0607 | 0.0252 | 0.0142 | 1.4 | 0.161 |
| ASC_TRAIN_class0 | ASC_CAR_class1 | -0.0544 | -0.323 | -2.77 | 0.00554 | -0.0896 | -0.414 | -2.5 | 0.0125 |
| ASC_TRAIN_class0 | ASC_SM_S_class0 | 1.86 | 0.317 | -0.146 | 0.884 | 2.33 | 0.51 | -0.203 | 0.839 |
| ASC_TRAIN_class0 | ASC_SM_S_class1 | 0.00563 | 0.0256 | 1.04 | 0.297 | 0.0377 | 0.155 | 1.05 | 0.292 |
| ASC_TRAIN_class0 | ASC_TRAIN_S_class0 | -0.244 | -0.466 | -3.38 | 0.000735 | -0.257 | -0.469 | -3.3 | 0.000964 |
| ASC_TRAIN_class0 | ASC_TRAIN_S_class1 | -0.00941 | -0.0276 | -3.07 | 0.00212 | 0.0285 | 0.0806 | -3.15 | 0.00161 |
| ASC_TRAIN_class1 | ASC_CAR_S_class0 | -0.104 | -0.188 | -3.19 | 0.00144 | -0.256 | -0.315 | -2.45 | 0.0143 |
| ASC_TRAIN_class1 | ASC_CAR_S_class1 | 0.0193 | 0.22 | -8.1 | 6.66e-16 | 0.043 | 0.382 | -8.02 | 1.11e-15 |
| ASC_TRAIN_class1 | ASC_CAR_class0 | 0.0722 | 0.126 | 2.47 | 0.0137 | 0.17 | 0.19 | 1.83 | 0.0676 |
| ASC_TRAIN_class1 | ASC_CAR_class1 | 0.036 | 0.463 | -4.43 | 9.45e-06 | 0.0616 | 0.563 | -4.17 | 3e-05 |
| ASC_TRAIN_class1 | ASC_SM_S_class0 | -0.402 | -0.149 | -0.0427 | 0.966 | -0.567 | -0.245 | -0.057 | 0.955 |
| ASC_TRAIN_class1 | ASC_SM_S_class1 | -0.0154 | -0.152 | 3.41 | 0.000656 | -0.025 | -0.204 | 3.03 | 0.00243 |
| ASC_TRAIN_class1 | ASC_TRAIN_S_class0 | 0.0723 | 0.299 | -4.42 | 9.82e-06 | 0.0914 | 0.329 | -4.44 | 8.87e-06 |
| ASC_TRAIN_class1 | ASC_TRAIN_S_class1 | -0.0856 | -0.545 | -2.4 | 0.0166 | -0.106 | -0.595 | -2.25 | 0.0242 |
| ASC_TRAIN_class1 | ASC_TRAIN_class0 | -0.0753 | -0.365 | 1.06 | 0.291 | -0.111 | -0.447 | 0.962 | 0.336 |
| B_COST_class0 | ASC_CAR_S_class0 | -0.333 | -0.364 | -3.43 | 0.000612 | -0.767 | -0.555 | -2.6 | 0.00938 |
| B_COST_class0 | ASC_CAR_S_class1 | 0.0153 | 0.105 | -7.15 | 8.44e-13 | 0.0342 | 0.179 | -6.37 | 1.9e-10 |
| B_COST_class0 | ASC_CAR_class0 | 0.311 | 0.327 | 2.02 | 0.0435 | 1 | 0.658 | 1.63 | 0.104 |
| B_COST_class0 | ASC_CAR_class1 | -0.0247 | -0.192 | -3.76 | 0.000172 | -0.0505 | -0.272 | -3.08 | 0.00207 |
| B_COST_class0 | ASC_SM_S_class0 | 0.989 | 0.22 | -0.159 | 0.874 | 2.09 | 0.532 | -0.221 | 0.825 |
| B_COST_class0 | ASC_SM_S_class1 | -0.000831 | -0.00494 | 1.07 | 0.287 | -0.000126 | -0.000601 | 0.936 | 0.349 |
| B_COST_class0 | ASC_TRAIN_S_class0 | -0.138 | -0.344 | -4.02 | 5.73e-05 | -0.223 | -0.471 | -3.62 | 0.000294 |
| B_COST_class0 | ASC_TRAIN_S_class1 | 0.0242 | 0.0927 | -3.97 | 7.04e-05 | 0.0334 | 0.11 | -3.68 | 0.000229 |
| B_COST_class0 | ASC_TRAIN_class0 | 0.118 | 0.343 | -0.173 | 0.863 | 0.146 | 0.347 | -0.159 | 0.873 |
| B_COST_class0 | ASC_TRAIN_class1 | -0.0212 | -0.134 | -1.58 | 0.115 | -0.0194 | -0.0913 | -1.38 | 0.169 |
| B_COST_class1 | ASC_CAR_S_class0 | 0.195 | 0.349 | -6.2 | 5.61e-10 | 0.421 | 0.457 | -4.93 | 8.28e-07 |
| B_COST_class1 | ASC_CAR_S_class1 | -0.0363 | -0.408 | -15.2 | 0 | -0.0484 | -0.38 | -12.7 | 0 |
| B_COST_class1 | ASC_CAR_class0 | -0.184 | -0.316 | -0.0273 | 0.978 | -0.446 | -0.44 | -0.0198 | 0.984 |
| B_COST_class1 | ASC_CAR_class1 | -0.00988 | -0.125 | -13.9 | 0 | -0.00127 | -0.0102 | -11.6 | 0 |
| B_COST_class1 | ASC_SM_S_class0 | 0.12 | 0.0436 | -0.568 | 0.57 | -0.0533 | -0.0204 | -0.761 | 0.447 |
| B_COST_class1 | ASC_SM_S_class1 | 0.0299 | 0.29 | -7.72 | 1.13e-14 | 0.0435 | 0.313 | -6.71 | 1.95e-11 |
| B_COST_class1 | ASC_TRAIN_S_class0 | 0.00123 | 0.00499 | -9.41 | 0 | 0.0103 | 0.0328 | -9.11 | 0 |
| B_COST_class1 | ASC_TRAIN_S_class1 | 0.0258 | 0.162 | -11.5 | 0 | 0.0426 | 0.21 | -11 | 0 |
| B_COST_class1 | ASC_TRAIN_class0 | 0.0334 | 0.159 | -5.39 | 7.21e-08 | 0.058 | 0.207 | -5.1 | 3.4e-07 |
| B_COST_class1 | ASC_TRAIN_class1 | -0.0251 | -0.26 | -9.32 | 0 | -0.0465 | -0.328 | -7.48 | 7.37e-14 |
| B_COST_class1 | B_COST_class0 | -0.0178 | -0.111 | -5.73 | 1.02e-08 | -0.064 | -0.265 | -4.47 | 7.8e-06 |
| B_TIME_S_class1 | ASC_CAR_S_class0 | -0.161 | -0.254 | -1.22 | 0.221 | -0.351 | -0.403 | -0.944 | 0.345 |
| B_TIME_S_class1 | ASC_CAR_S_class1 | 0.0359 | 0.354 | 1.68 | 0.0931 | 0.0537 | 0.445 | 1.67 | 0.0953 |
| B_TIME_S_class1 | ASC_CAR_class0 | 0.0767 | 0.116 | 4.41 | 1.02e-05 | 0.257 | 0.268 | 3.32 | 0.000886 |
| B_TIME_S_class1 | ASC_CAR_class1 | 0.028 | 0.313 | 6.33 | 2.38e-10 | 0.0576 | 0.491 | 6.57 | 4.89e-11 |
| B_TIME_S_class1 | ASC_SM_S_class0 | -0.464 | -0.149 | 0.367 | 0.713 | -0.536 | -0.216 | 0.49 | 0.624 |
| B_TIME_S_class1 | ASC_SM_S_class1 | -0.0281 | -0.24 | 9.77 | 0 | -0.0575 | -0.437 | 8.55 | 0 |
| B_TIME_S_class1 | ASC_TRAIN_S_class0 | 0.0159 | 0.0571 | 0.355 | 0.723 | 0.0154 | 0.0517 | 0.35 | 0.726 |
| B_TIME_S_class1 | ASC_TRAIN_S_class1 | -0.029 | -0.16 | 2.83 | 0.00469 | -0.0582 | -0.303 | 2.62 | 0.00873 |
| B_TIME_S_class1 | ASC_TRAIN_class0 | -0.0676 | -0.284 | 5.35 | 8.98e-08 | -0.104 | -0.39 | 4.91 | 9.08e-07 |
| B_TIME_S_class1 | ASC_TRAIN_class1 | 0.0369 | 0.336 | 9.41 | 0 | 0.0787 | 0.586 | 10.8 | 0 |
| B_TIME_S_class1 | B_COST_class0 | 0.00681 | 0.0373 | 7.54 | 4.75e-14 | 0.00735 | 0.0322 | 6.59 | 4.36e-11 |
| B_TIME_S_class1 | B_COST_class1 | -0.0533 | -0.478 | 14.3 | 0 | -0.0895 | -0.588 | 11.8 | 0 |
| B_TIME_class1 | ASC_CAR_S_class0 | 0.279 | 0.342 | -7.6 | 2.91e-14 | 0.586 | 0.446 | -6.09 | 1.11e-09 |
| B_TIME_class1 | ASC_CAR_S_class1 | -0.0507 | -0.39 | -15.8 | 0 | -0.0896 | -0.493 | -12.7 | 0 |
| B_TIME_class1 | ASC_CAR_class0 | -0.248 | -0.292 | -1.13 | 0.257 | -0.476 | -0.329 | -0.833 | 0.405 |
| B_TIME_class1 | ASC_CAR_class1 | -0.0549 | -0.478 | -13.2 | 0 | -0.104 | -0.586 | -10.3 | 0 |
| B_TIME_class1 | ASC_SM_S_class0 | 0.392 | 0.0978 | -0.828 | 0.408 | 0.717 | 0.192 | -1.12 | 0.261 |
| B_TIME_class1 | ASC_SM_S_class1 | 0.0436 | 0.29 | -10.9 | 0 | 0.0692 | 0.349 | -9.37 | 0 |
| B_TIME_class1 | ASC_TRAIN_S_class0 | -0.00996 | -0.0278 | -11.1 | 0 | -0.0377 | -0.084 | -10.1 | 0 |
| B_TIME_class1 | ASC_TRAIN_S_class1 | 0.0449 | 0.193 | -14 | 0 | 0.0919 | 0.318 | -13.6 | 0 |
| B_TIME_class1 | ASC_TRAIN_class0 | 0.0701 | 0.23 | -8.33 | 0 | 0.147 | 0.366 | -8.27 | 2.22e-16 |
| B_TIME_class1 | ASC_TRAIN_class1 | -0.0697 | -0.494 | -10.3 | 0 | -0.131 | -0.648 | -8.11 | 4.44e-16 |
| B_TIME_class1 | B_COST_class0 | 0.0148 | 0.0632 | -8.82 | 0 | -0.0116 | -0.0338 | -6.94 | 3.8e-12 |
| B_TIME_class1 | B_COST_class1 | 0.0894 | 0.624 | -6.3 | 2.95e-10 | 0.137 | 0.598 | -4.88 | 1.04e-06 |
| B_TIME_class1 | B_TIME_S_class1 | -0.0919 | -0.565 | -14.5 | 0 | -0.182 | -0.839 | -11.5 | 0 |
| PROB_class0 | ASC_CAR_S_class0 | -0.00645 | -0.125 | -3.11 | 0.00184 | -0.00875 | -0.132 | -2.42 | 0.0153 |
| PROB_class0 | ASC_CAR_S_class1 | -0.000961 | -0.117 | -9.07 | 0 | -0.000495 | -0.054 | -8.18 | 2.22e-16 |
| PROB_class0 | ASC_CAR_class0 | 0.00548 | 0.102 | 2.66 | 0.0079 | 0.00249 | 0.0341 | 1.95 | 0.0515 |
| PROB_class0 | ASC_CAR_class1 | 0.00232 | 0.32 | -3.79 | 0.000152 | 0.00346 | 0.388 | -3.09 | 0.00201 |
| PROB_class0 | ASC_SM_S_class0 | -0.0165 | -0.0652 | 0.0003 | 1 | -0.0439 | -0.233 | 0.000403 | 1 |
| PROB_class0 | ASC_SM_S_class1 | -0.000744 | -0.0786 | 6.11 | 1.03e-09 | -0.000751 | -0.0751 | 5.79 | 7.12e-09 |
| PROB_class0 | ASC_TRAIN_S_class0 | 0.00316 | 0.14 | -3.77 | 0.000162 | 0.00555 | 0.245 | -3.78 | 0.000158 |
| PROB_class0 | ASC_TRAIN_S_class1 | -0.00339 | -0.231 | -2.63 | 0.00862 | -0.00426 | -0.292 | -2.64 | 0.00838 |
| PROB_class0 | ASC_TRAIN_class0 | -0.0045 | -0.234 | 1.86 | 0.0625 | -0.00663 | -0.329 | 1.77 | 0.0759 |
| PROB_class0 | ASC_TRAIN_class1 | 0.00129 | 0.146 | 1.24 | 0.214 | 0.00224 | 0.22 | 1.09 | 0.276 |
| PROB_class0 | B_COST_class0 | -0.00416 | -0.282 | 2.64 | 0.0082 | -0.00416 | -0.24 | 2.26 | 0.0237 |
| PROB_class0 | B_COST_class1 | -0.00121 | -0.134 | 15.6 | 0 | -0.00143 | -0.124 | 12.3 | 0 |
| PROB_class0 | B_TIME_S_class1 | -0.000747 | -0.0729 | -9.03 | 0 | 0.0018 | 0.165 | -8.63 | 0 |
| PROB_class0 | B_TIME_class1 | -0.00443 | -0.336 | 15.5 | 0 | -0.00596 | -0.361 | 12.4 | 0 |
Smallest eigenvalue: 0.0128913
Largest eigenvalue: 2251.23
Condition number: 174633