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 19:07:07.285650
| Report file: | 15panelDiscreteBis.html |
| Database name: | swissmetro |
| Number of estimated parameters: | 15 |
| Sample size: | 752 |
| Observations: | 6768 |
| Excluded observations: | 3960 |
| Init log likelihood: | -4898.367 |
| Final log likelihood: | -3527.05 |
| Likelihood ratio test for the init. model: | 2742.633 |
| Rho-square for the init. model: | 0.28 |
| Rho-square-bar for the init. model: | 0.277 |
| Akaike Information Criterion: | 7084.1 |
| Bayesian Information Criterion: | 7153.441 |
| Final gradient norm: | 3.7676E-03 |
| Number of draws: | 100000 |
| Draws generation time: | 0:03:20.247629 |
| 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: | 3.481078e-06 |
| Relative change: | 0.02258458312814826 |
| Number of iterations: | 40 |
| Number of function evaluations: | 95 |
| Number of gradient evaluations: | 28 |
| Number of hessian evaluations: | 28 |
| Cause of termination: | Relative gradient = 3.5e-06 <= 6.1e-06 |
| Optimization time: | 23:37:13.694158 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|
| ASC_CAR_S_class0 | 5.83 | 1.98 | 2.95 | 0.0032 | 2.62 | 2.23 | 0.026 |
| ASC_CAR_S_class1 | 2.8 | 0.288 | 9.71 | 0 | 0.328 | 8.53 | 0 |
| ASC_CAR_class0 | -4.77 | 1.77 | -2.7 | 0.00703 | 2.33 | -2.05 | 0.0408 |
| ASC_CAR_class1 | 1.06 | 0.247 | 4.29 | 1.8e-05 | 0.299 | 3.54 | 0.000397 |
| ASC_SM_S_class0 | -0.669 | 2.25 | -0.297 | 0.766 | 1.25 | -0.534 | 0.593 |
| ASC_SM_S_class1 | 1.8 | 0.35 | 5.16 | 2.45e-07 | 0.377 | 4.78 | 1.71e-06 |
| ASC_TRAIN_S_class0 | 3.01 | 0.835 | 3.61 | 0.000312 | 0.851 | 3.53 | 0.000408 |
| ASC_TRAIN_S_class1 | 1.66 | 0.551 | 3.01 | 0.00264 | 0.633 | 2.62 | 0.00878 |
| ASC_TRAIN_class0 | -1.15 | 0.64 | -1.8 | 0.0721 | 0.633 | -1.82 | 0.069 |
| ASC_TRAIN_class1 | -0.247 | 0.31 | -0.797 | 0.425 | 0.362 | -0.683 | 0.495 |
| B_COST_class0 | -1.22 | 0.515 | -2.38 | 0.0175 | 0.596 | -2.05 | 0.0401 |
| B_COST_class1 | -4.81 | 0.313 | -15.4 | 0 | 0.403 | -11.9 | 0 |
| B_TIME_S_class1 | 3.41 | 0.289 | 11.8 | 0 | 0.317 | 10.8 | 0 |
| B_TIME_class1 | -7.05 | 0.454 | -15.5 | 0 | 0.579 | -12.2 | 0 |
| PROB_class0 | 0.151 | 0.0285 | 5.28 | 1.28e-07 | 0.0295 | 5.1 | 3.48e-07 |
| 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 | -0.149 | -0.262 | -1.46 | 0.143 | -0.335 | -0.39 | -1.1 | 0.272 |
| ASC_CAR_class0 | ASC_CAR_S_class0 | -2.7 | -0.771 | -3.01 | 0.00265 | -5.43 | -0.888 | -2.2 | 0.0276 |
| ASC_CAR_class0 | ASC_CAR_S_class1 | 0.13 | 0.255 | -4.4 | 1.08e-05 | 0.292 | 0.381 | -3.39 | 0.000688 |
| ASC_CAR_class1 | ASC_CAR_S_class0 | -0.0884 | -0.181 | -2.34 | 0.0191 | -0.146 | -0.187 | -1.77 | 0.0762 |
| ASC_CAR_class1 | ASC_CAR_S_class1 | -0.00422 | -0.0594 | -4.45 | 8.44e-06 | 0.00551 | 0.0562 | -4.03 | 5.51e-05 |
| ASC_CAR_class1 | ASC_CAR_class0 | 0.0109 | 0.0249 | 3.27 | 0.00107 | 0.0336 | 0.0482 | 2.49 | 0.0127 |
| ASC_SM_S_class0 | ASC_CAR_S_class0 | 0.0441 | 0.0099 | -2.18 | 0.0292 | -1.45 | -0.443 | -1.93 | 0.0536 |
| ASC_SM_S_class0 | ASC_CAR_S_class1 | 0.0355 | 0.0548 | -1.54 | 0.124 | 0.0899 | 0.219 | -2.83 | 0.00465 |
| ASC_SM_S_class0 | ASC_CAR_class0 | 0.0138 | 0.00345 | 1.44 | 0.151 | 1.53 | 0.523 | 2.06 | 0.0391 |
| ASC_SM_S_class0 | ASC_CAR_class1 | -0.0246 | -0.0443 | -0.759 | 0.448 | -0.0307 | -0.0819 | -1.32 | 0.188 |
| ASC_SM_S_class1 | ASC_CAR_S_class0 | -0.0691 | -0.0999 | -1.97 | 0.0487 | -0.118 | -0.12 | -1.5 | 0.135 |
| ASC_SM_S_class1 | ASC_CAR_S_class1 | -0.0303 | -0.3 | -1.92 | 0.0543 | -0.0344 | -0.279 | -1.76 | 0.0789 |
| ASC_SM_S_class1 | ASC_CAR_class0 | 0.03 | 0.0485 | 3.68 | 0.000235 | 0.0734 | 0.0834 | 2.82 | 0.00482 |
| ASC_SM_S_class1 | ASC_CAR_class1 | 0.0272 | 0.315 | 2.08 | 0.0375 | 0.0406 | 0.36 | 1.93 | 0.0542 |
| ASC_SM_S_class1 | ASC_SM_S_class0 | 0.0497 | 0.0632 | 1.1 | 0.273 | 0.00897 | 0.019 | 1.9 | 0.0575 |
| ASC_TRAIN_S_class0 | ASC_CAR_S_class0 | -0.00277 | -0.00168 | -1.31 | 0.189 | -0.618 | -0.277 | -0.95 | 0.342 |
| ASC_TRAIN_S_class0 | ASC_CAR_S_class1 | 0.0295 | 0.123 | 0.251 | 0.801 | 0.0666 | 0.239 | 0.255 | 0.799 |
| ASC_TRAIN_S_class0 | ASC_CAR_class0 | -0.00772 | -0.00522 | 3.97 | 7.27e-05 | 0.497 | 0.25 | 3.42 | 0.000627 |
| ASC_TRAIN_S_class0 | ASC_CAR_class1 | -0.00179 | -0.00869 | 2.24 | 0.0253 | 0.00415 | 0.0163 | 2.17 | 0.0297 |
| ASC_TRAIN_S_class0 | ASC_SM_S_class0 | 1.13 | 0.604 | 1.97 | 0.049 | 0.52 | 0.487 | 3.28 | 0.00103 |
| ASC_TRAIN_S_class0 | ASC_SM_S_class1 | -0.0457 | -0.157 | 1.26 | 0.207 | -0.0662 | -0.206 | 1.21 | 0.228 |
| ASC_TRAIN_S_class1 | ASC_CAR_S_class0 | 0.137 | 0.126 | -2.1 | 0.0356 | 0.381 | 0.23 | -1.64 | 0.102 |
| ASC_TRAIN_S_class1 | ASC_CAR_S_class1 | 0.00672 | 0.0423 | -1.86 | 0.0624 | -0.0104 | -0.0501 | -1.57 | 0.117 |
| ASC_TRAIN_S_class1 | ASC_CAR_class0 | -0.0821 | -0.0841 | 3.39 | 0.000706 | -0.264 | -0.179 | 2.55 | 0.0109 |
| ASC_TRAIN_S_class1 | ASC_CAR_class1 | -0.0298 | -0.219 | 0.92 | 0.357 | -0.0593 | -0.314 | 0.769 | 0.442 |
| ASC_TRAIN_S_class1 | ASC_SM_S_class0 | -0.0884 | -0.0712 | 0.988 | 0.323 | -0.138 | -0.174 | 1.55 | 0.121 |
| ASC_TRAIN_S_class1 | ASC_SM_S_class1 | -0.0783 | -0.406 | -0.192 | 0.848 | -0.0937 | -0.393 | -0.172 | 0.864 |
| ASC_TRAIN_S_class1 | ASC_TRAIN_S_class0 | -0.126 | -0.273 | -1.21 | 0.227 | -0.217 | -0.403 | -1.08 | 0.279 |
| ASC_TRAIN_class0 | ASC_CAR_S_class0 | 0.152 | 0.12 | -3.48 | 0.000495 | 0.364 | 0.22 | -2.73 | 0.00632 |
| ASC_TRAIN_class0 | ASC_CAR_S_class1 | -0.0113 | -0.0612 | -5.5 | 3.79e-08 | -0.0266 | -0.128 | -5.27 | 1.38e-07 |
| ASC_TRAIN_class0 | ASC_CAR_class0 | -0.0522 | -0.046 | 1.9 | 0.0579 | -0.173 | -0.117 | 1.46 | 0.145 |
| ASC_TRAIN_class0 | ASC_CAR_class1 | -0.0396 | -0.251 | -2.98 | 0.00288 | -0.0559 | -0.296 | -2.85 | 0.00441 |
| ASC_TRAIN_class0 | ASC_SM_S_class0 | 0.039 | 0.0271 | -0.207 | 0.836 | 0.0901 | 0.114 | -0.36 | 0.719 |
| ASC_TRAIN_class0 | ASC_SM_S_class1 | 0.014 | 0.0624 | -4.16 | 3.13e-05 | -0.00241 | -0.0101 | -3.99 | 6.52e-05 |
| ASC_TRAIN_class0 | ASC_TRAIN_S_class0 | -0.129 | -0.242 | -3.56 | 0.000369 | -0.097 | -0.18 | -3.62 | 0.000293 |
| ASC_TRAIN_class0 | ASC_TRAIN_S_class1 | -0.0418 | -0.118 | -3.15 | 0.00165 | -0.0243 | -0.0607 | -3.05 | 0.00231 |
| ASC_TRAIN_class1 | ASC_CAR_S_class0 | -0.128 | -0.209 | -2.94 | 0.00325 | -0.355 | -0.374 | -2.19 | 0.0285 |
| ASC_TRAIN_class1 | ASC_CAR_S_class1 | 0.0188 | 0.211 | -8.09 | 6.66e-16 | 0.0441 | 0.371 | -7.84 | 4.44e-15 |
| ASC_TRAIN_class1 | ASC_CAR_class0 | 0.0997 | 0.181 | 2.6 | 0.00935 | 0.262 | 0.31 | 2.01 | 0.0441 |
| ASC_TRAIN_class1 | ASC_CAR_class1 | 0.0341 | 0.446 | -4.38 | 1.19e-05 | 0.0601 | 0.556 | -4.12 | 3.73e-05 |
| ASC_TRAIN_class1 | ASC_SM_S_class0 | 0.0344 | 0.0492 | 0.187 | 0.852 | 0.0692 | 0.152 | 0.337 | 0.736 |
| ASC_TRAIN_class1 | ASC_SM_S_class1 | 0.0165 | 0.152 | -4.76 | 1.9e-06 | 0.0277 | 0.203 | -4.39 | 1.12e-05 |
| ASC_TRAIN_class1 | ASC_TRAIN_S_class0 | 0.0671 | 0.259 | -4.01 | 6.01e-05 | 0.104 | 0.338 | -4.05 | 5.18e-05 |
| ASC_TRAIN_class1 | ASC_TRAIN_S_class1 | -0.0943 | -0.551 | -2.48 | 0.013 | -0.141 | -0.617 | -2.11 | 0.0348 |
| ASC_TRAIN_class1 | ASC_TRAIN_class0 | -0.0604 | -0.304 | 1.14 | 0.254 | -0.0777 | -0.339 | 1.09 | 0.276 |
| B_COST_class0 | ASC_CAR_S_class0 | -0.361 | -0.354 | -3.19 | 0.00143 | -0.95 | -0.608 | -2.34 | 0.0195 |
| B_COST_class0 | ASC_CAR_S_class1 | 0.0167 | 0.112 | -7.17 | 7.72e-13 | 0.0419 | 0.214 | -6.53 | 6.56e-11 |
| B_COST_class0 | ASC_CAR_class0 | 0.26 | 0.285 | 2.09 | 0.0365 | 0.927 | 0.666 | 1.79 | 0.074 |
| B_COST_class0 | ASC_CAR_class1 | -0.0182 | -0.143 | -3.79 | 0.00015 | -0.0289 | -0.162 | -3.22 | 0.00128 |
| B_COST_class0 | ASC_SM_S_class0 | 0.351 | 0.303 | -0.258 | 0.797 | 0.442 | 0.591 | -0.543 | 0.587 |
| B_COST_class0 | ASC_SM_S_class1 | 0.00784 | 0.0436 | -4.97 | 6.78e-07 | 0.013 | 0.0577 | -4.41 | 1.03e-05 |
| B_COST_class0 | ASC_TRAIN_S_class0 | -0.00264 | -0.00615 | -4.3 | 1.67e-05 | 0.0213 | 0.0421 | -4.16 | 3.24e-05 |
| B_COST_class0 | ASC_TRAIN_S_class1 | 0.0138 | 0.0485 | -3.92 | 9e-05 | 0.00318 | 0.00845 | -3.33 | 0.00087 |
| B_COST_class0 | ASC_TRAIN_class0 | 0.0913 | 0.277 | -0.104 | 0.917 | 0.079 | 0.209 | -0.094 | 0.925 |
| B_COST_class0 | ASC_TRAIN_class1 | -0.0123 | -0.077 | -1.57 | 0.116 | 0.00502 | 0.0233 | -1.41 | 0.157 |
| B_COST_class1 | ASC_CAR_S_class0 | 0.216 | 0.349 | -5.62 | 1.86e-08 | 0.492 | 0.465 | -4.33 | 1.51e-05 |
| B_COST_class1 | ASC_CAR_S_class1 | -0.035 | -0.388 | -15.2 | 0 | -0.0455 | -0.344 | -12.6 | 0 |
| B_COST_class1 | ASC_CAR_class0 | -0.193 | -0.348 | -0.0166 | 0.987 | -0.46 | -0.489 | -0.0123 | 0.99 |
| B_COST_class1 | ASC_CAR_class1 | -0.00978 | -0.127 | -13.9 | 0 | -0.0047 | -0.039 | -11.5 | 0 |
| B_COST_class1 | ASC_SM_S_class0 | -0.0626 | -0.089 | -1.8 | 0.072 | -0.146 | -0.289 | -2.91 | 0.00365 |
| B_COST_class1 | ASC_SM_S_class1 | -0.031 | -0.283 | -12.4 | 0 | -0.0501 | -0.33 | -10.4 | 0 |
| B_COST_class1 | ASC_TRAIN_S_class0 | -0.00892 | -0.0342 | -8.67 | 0 | -0.0427 | -0.124 | -7.92 | 2.22e-15 |
| B_COST_class1 | ASC_TRAIN_S_class1 | 0.0311 | 0.18 | -11.1 | 0 | 0.0716 | 0.28 | -9.98 | 0 |
| B_COST_class1 | ASC_TRAIN_class0 | 0.0242 | 0.121 | -5.4 | 6.78e-08 | 0.0422 | 0.165 | -5.28 | 1.29e-07 |
| B_COST_class1 | ASC_TRAIN_class1 | -0.0256 | -0.264 | -9.21 | 0 | -0.0524 | -0.359 | -7.22 | 5.23e-13 |
| B_COST_class1 | B_COST_class0 | -0.0229 | -0.142 | -5.6 | 2.09e-08 | -0.0766 | -0.319 | -4.37 | 1.23e-05 |
| B_TIME_S_class1 | ASC_CAR_S_class0 | -0.167 | -0.292 | -1.16 | 0.244 | -0.387 | -0.466 | -0.871 | 0.384 |
| B_TIME_S_class1 | ASC_CAR_S_class1 | 0.0307 | 0.368 | 1.89 | 0.0591 | 0.0482 | 0.464 | 1.84 | 0.0665 |
| B_TIME_S_class1 | ASC_CAR_class0 | 0.121 | 0.236 | 4.74 | 2.14e-06 | 0.314 | 0.425 | 3.69 | 0.000226 |
| B_TIME_S_class1 | ASC_CAR_class1 | 0.0248 | 0.348 | 7.63 | 2.33e-14 | 0.051 | 0.539 | 7.95 | 2e-15 |
| B_TIME_S_class1 | ASC_SM_S_class0 | 0.0415 | 0.0638 | 1.81 | 0.07 | 0.0603 | 0.152 | 3.27 | 0.00106 |
| B_TIME_S_class1 | ASC_SM_S_class1 | 0.0238 | 0.236 | 4.03 | 5.49e-05 | 0.0455 | 0.381 | 4.12 | 3.73e-05 |
| B_TIME_S_class1 | ASC_TRAIN_S_class0 | 0.00207 | 0.00858 | 0.453 | 0.651 | 0.0196 | 0.0727 | 0.45 | 0.653 |
| B_TIME_S_class1 | ASC_TRAIN_S_class1 | -0.0288 | -0.18 | 2.62 | 0.00867 | -0.0721 | -0.36 | 2.18 | 0.0292 |
| B_TIME_S_class1 | ASC_TRAIN_class0 | -0.0388 | -0.21 | 6.03 | 1.59e-09 | -0.0559 | -0.279 | 5.82 | 5.74e-09 |
| B_TIME_S_class1 | ASC_TRAIN_class1 | 0.0349 | 0.389 | 11 | 0 | 0.0739 | 0.645 | 12.6 | 0 |
| B_TIME_S_class1 | B_COST_class0 | 0.00783 | 0.0526 | 8.03 | 1.11e-15 | 0.025 | 0.133 | 7.27 | 3.46e-13 |
| B_TIME_S_class1 | B_COST_class1 | -0.048 | -0.531 | 15.6 | 0 | -0.0794 | -0.622 | 12.6 | 0 |
| B_TIME_class1 | ASC_CAR_S_class0 | 0.317 | 0.353 | -6.9 | 5.23e-12 | 0.715 | 0.471 | -5.36 | 8.25e-08 |
| B_TIME_class1 | ASC_CAR_S_class1 | -0.051 | -0.39 | -15.7 | 0 | -0.0904 | -0.476 | -12.5 | 0 |
| B_TIME_class1 | ASC_CAR_class0 | -0.269 | -0.335 | -1.15 | 0.249 | -0.568 | -0.42 | -0.863 | 0.388 |
| B_TIME_class1 | ASC_CAR_class1 | -0.0533 | -0.476 | -13.3 | 0 | -0.103 | -0.593 | -10.2 | 0 |
| B_TIME_class1 | ASC_SM_S_class0 | -0.0517 | -0.0506 | -2.75 | 0.00594 | -0.123 | -0.17 | -4.35 | 1.39e-05 |
| B_TIME_class1 | ASC_SM_S_class1 | -0.0444 | -0.28 | -13.7 | 0 | -0.0744 | -0.341 | -11.2 | 0 |
| B_TIME_class1 | ASC_TRAIN_S_class0 | -0.00351 | -0.00926 | -10.5 | 0 | -0.0523 | -0.106 | -9.32 | 0 |
| B_TIME_class1 | ASC_TRAIN_S_class1 | 0.053 | 0.212 | -13.7 | 0 | 0.134 | 0.366 | -12.7 | 0 |
| B_TIME_class1 | ASC_TRAIN_class0 | 0.0532 | 0.183 | -8.26 | 2.22e-16 | 0.103 | 0.28 | -8.09 | 6.66e-16 |
| B_TIME_class1 | ASC_TRAIN_class1 | -0.0695 | -0.493 | -10.2 | 0 | -0.139 | -0.661 | -7.88 | 3.33e-15 |
| B_TIME_class1 | B_COST_class0 | 0.00203 | 0.00868 | -8.52 | 0 | -0.0443 | -0.128 | -6.6 | 4.21e-11 |
| B_TIME_class1 | B_COST_class1 | 0.0899 | 0.633 | -6.36 | 2.03e-10 | 0.144 | 0.616 | -4.88 | 1.04e-06 |
| B_TIME_class1 | B_TIME_S_class1 | -0.0961 | -0.732 | -15.1 | 0 | -0.175 | -0.956 | -11.8 | 0 |
| PROB_class0 | ASC_CAR_S_class0 | -0.00987 | -0.175 | -2.86 | 0.00418 | -0.0162 | -0.209 | -2.16 | 0.0306 |
| PROB_class0 | ASC_CAR_S_class1 | -0.000858 | -0.105 | -9.05 | 0 | -0.000331 | -0.0342 | -8.01 | 1.11e-15 |
| PROB_class0 | ASC_CAR_class0 | 0.00696 | 0.138 | 2.79 | 0.00533 | 0.0087 | 0.126 | 2.11 | 0.0346 |
| PROB_class0 | ASC_CAR_class1 | 0.00243 | 0.346 | -3.81 | 0.000141 | 0.00374 | 0.424 | -3.16 | 0.00159 |
| PROB_class0 | ASC_SM_S_class0 | -0.00512 | -0.0799 | 0.364 | 0.716 | -0.000524 | -0.0142 | 0.654 | 0.513 |
| PROB_class0 | ASC_SM_S_class1 | 0.00119 | 0.119 | -4.76 | 1.93e-06 | 0.00196 | 0.176 | -4.43 | 9.28e-06 |
| PROB_class0 | ASC_TRAIN_S_class0 | 0.00192 | 0.0807 | -3.43 | 0.000598 | 0.00482 | 0.192 | -3.38 | 0.000729 |
| PROB_class0 | ASC_TRAIN_S_class1 | -0.00472 | -0.301 | -2.69 | 0.00717 | -0.00786 | -0.421 | -2.33 | 0.0196 |
| PROB_class0 | ASC_TRAIN_class0 | -0.00379 | -0.208 | 2.01 | 0.0441 | -0.00492 | -0.263 | 2.03 | 0.0425 |
| PROB_class0 | ASC_TRAIN_class1 | 0.00148 | 0.167 | 1.3 | 0.195 | 0.00316 | 0.295 | 1.12 | 0.262 |
| PROB_class0 | B_COST_class0 | -0.0037 | -0.252 | 2.63 | 0.00857 | -0.00286 | -0.162 | 2.28 | 0.0223 |
| PROB_class0 | B_COST_class1 | -0.00152 | -0.171 | 15.5 | 0 | -0.0025 | -0.209 | 12.1 | 0 |
| PROB_class0 | B_TIME_S_class1 | 0.000729 | 0.0884 | -11.3 | 0 | 0.00324 | 0.347 | -10.6 | 0 |
| PROB_class0 | B_TIME_class1 | -0.00436 | -0.337 | 15.5 | 0 | -0.00703 | -0.411 | 12.2 | 0 |
Smallest eigenvalue: 0.157354
Largest eigenvalue: 2227.49
Condition number: 14156