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 2021-07-26 21:01:44.429940
| Report file: | 04latentChoiceSeq_mc.html |
| Database name: | optima |
| Number of estimated parameters: | 11 |
| Sample size: | 1906 |
| Excluded observations: | 359 |
| Init log likelihood: | -2093.955 |
| Final log likelihood: | -1097.909 |
| Likelihood ratio test for the init. model: | 1992.092 |
| Rho-square for the init. model: | 0.476 |
| Rho-square-bar for the init. model: | 0.47 |
| Akaike Information Criterion: | 2217.818 |
| Bayesian Information Criterion: | 2278.898 |
| Final gradient norm: | 1.0438E-02 |
| Number of draws: | 10000 |
| Draws generation time: | 0:00:34.733634 |
| Types of draws: | ['EC: NORMAL_MLHS'] |
| Nbr of threads: | 36 |
| Algorithm: | Newton with trust region for simple bound constraints |
| Proportion analytical hessian: | 100.0% |
| Relative projected gradient: | 1.720228e-05 |
| Relative change: | 2.3212700457353463e-06 |
| Number of iterations: | 49 |
| Number of function evaluations: | 116 |
| Number of gradient evaluations: | 34 |
| Number of hessian evaluations: | 34 |
| Cause of termination: | Relative change = 2.32e-06 <= 1e-05 |
| Optimization time: | 1:07:17.061294 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|
| ASC_CAR | 0.878 | 0.121 | 7.27 | 3.63e-13 | 0.129 | 6.8 | 1.04e-11 |
| ASC_SM | 2.08 | 0.262 | 7.95 | 1.78e-15 | 0.261 | 7.96 | 1.78e-15 |
| BETA_COST_HWH | -1.7 | 0.283 | -6.01 | 1.83e-09 | 0.437 | -3.9 | 9.8e-05 |
| BETA_COST_OTHER | -0.914 | 0.16 | -5.7 | 1.19e-08 | 0.245 | -3.72 | 0.000197 |
| BETA_DIST | -6.02 | 0.808 | -7.45 | 9.35e-14 | 0.827 | -7.28 | 3.27e-13 |
| BETA_TIME_CAR_CL | -1.68 | 0.198 | -8.45 | 0 | 0.208 | -8.04 | 8.88e-16 |
| BETA_TIME_CAR_REF | -13.1 | 2.04 | -6.44 | 1.2e-10 | 2.36 | -5.56 | 2.67e-08 |
| BETA_TIME_PT_CL | -1.68 | 0.161 | -10.4 | 0 | 0.138 | -12.2 | 0 |
| BETA_TIME_PT_REF | -3.52 | 0.851 | -4.14 | 3.53e-05 | 0.953 | -3.69 | 0.00022 |
| BETA_WAITING_TIME | -0.0389 | 0.00955 | -4.07 | 4.72e-05 | 0.0136 | -2.86 | 0.00424 |
| sigma_s | 0.931 | 0.105 | 8.87 | 0 | 0.0903 | 10.3 | 0 |
| Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | Rob. cov. | Rob. corr. | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|---|---|
| ASC_SM | ASC_CAR | 0.0104 | 0.33 | 4.82 | 1.41e-06 | 0.0111 | 0.329 | 4.8 | 1.58e-06 |
| BETA_COST_HWH | ASC_CAR | 0.00258 | 0.0755 | -8.62 | 0 | 2.68e-05 | 0.000474 | -5.66 | 1.48e-08 |
| BETA_COST_HWH | ASC_SM | 0.000251 | 0.00339 | -9.83 | 0 | -0.00438 | -0.0384 | -7.31 | 2.72e-13 |
| BETA_COST_OTHER | ASC_CAR | 0.000474 | 0.0245 | -9.04 | 0 | 0.00174 | 0.0549 | -6.61 | 3.81e-11 |
| BETA_COST_OTHER | ASC_SM | 0.00108 | 0.0257 | -9.87 | 0 | 0.0044 | 0.0686 | -8.65 | 0 |
| BETA_COST_OTHER | BETA_COST_HWH | 0.00505 | 0.111 | 2.55 | 0.0108 | 0.018 | 0.168 | 1.7 | 0.0893 |
| BETA_DIST | ASC_CAR | 0.00823 | 0.0843 | -8.55 | 0 | 0.00404 | 0.0378 | -8.29 | 0 |
| BETA_DIST | ASC_SM | -0.136 | -0.643 | -8.13 | 4.44e-16 | -0.131 | -0.608 | -8.04 | 8.88e-16 |
| BETA_DIST | BETA_COST_HWH | 0.0187 | 0.0818 | -5.18 | 2.25e-07 | 0.0489 | 0.135 | -4.9 | 9.55e-07 |
| BETA_DIST | BETA_COST_OTHER | 0.00232 | 0.0179 | -6.22 | 4.98e-10 | -0.00934 | -0.046 | -5.85 | 4.95e-09 |
| BETA_TIME_CAR_CL | ASC_CAR | 0.00227 | 0.0947 | -11.5 | 0 | -0.00425 | -0.158 | -9.75 | 0 |
| BETA_TIME_CAR_CL | ASC_SM | -0.00746 | -0.144 | -10.7 | 0 | -0.0174 | -0.32 | -9.81 | 0 |
| BETA_TIME_CAR_CL | BETA_COST_HWH | -0.000411 | -0.00733 | 0.0736 | 0.941 | -0.00318 | -0.0349 | 0.052 | 0.959 |
| BETA_TIME_CAR_CL | BETA_COST_OTHER | -0.00183 | -0.0577 | -2.91 | 0.00361 | -0.0114 | -0.222 | -2.14 | 0.032 |
| BETA_TIME_CAR_CL | BETA_DIST | 0.0453 | 0.283 | 5.6 | 2.15e-08 | 0.0755 | 0.438 | 5.72 | 1.04e-08 |
| BETA_TIME_CAR_REF | ASC_CAR | -0.0202 | -0.0819 | -6.82 | 8.82e-12 | -0.015 | -0.049 | -5.91 | 3.44e-09 |
| BETA_TIME_CAR_REF | ASC_SM | -0.127 | -0.239 | -7.19 | 6.71e-13 | -0.173 | -0.28 | -6.22 | 5.08e-10 |
| BETA_TIME_CAR_REF | BETA_COST_HWH | -0.00108 | -0.00187 | -5.55 | 2.85e-08 | 0.0495 | 0.048 | -4.8 | 1.57e-06 |
| BETA_TIME_CAR_REF | BETA_COST_OTHER | -0.0203 | -0.0622 | -5.94 | 2.78e-09 | -0.0135 | -0.0233 | -5.14 | 2.82e-07 |
| BETA_TIME_CAR_REF | BETA_DIST | 0.794 | 0.482 | -3.96 | 7.42e-05 | 1.17 | 0.598 | -3.59 | 0.000328 |
| BETA_TIME_CAR_REF | BETA_TIME_CAR_CL | 0.105 | 0.258 | -5.74 | 9.71e-09 | 0.119 | 0.242 | -4.94 | 7.84e-07 |
| BETA_TIME_PT_CL | ASC_CAR | -0.00292 | -0.15 | -11.9 | 0 | -0.00619 | -0.347 | -11.7 | 0 |
| BETA_TIME_PT_CL | ASC_SM | -0.00427 | -0.101 | -11.7 | 0 | -0.00847 | -0.235 | -11.6 | 0 |
| BETA_TIME_PT_CL | BETA_COST_HWH | -0.00395 | -0.0868 | 0.0642 | 0.949 | -0.0102 | -0.169 | 0.0451 | 0.964 |
| BETA_TIME_PT_CL | BETA_COST_OTHER | -0.00142 | -0.055 | -3.29 | 0.00101 | -0.00293 | -0.0863 | -2.63 | 0.00864 |
| BETA_TIME_PT_CL | BETA_DIST | -0.00584 | -0.045 | 5.22 | 1.77e-07 | 0.00391 | 0.0342 | 5.21 | 1.91e-07 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_CL | 0.0244 | 0.767 | -0.0302 | 0.976 | 0.0209 | 0.727 | -0.0268 | 0.979 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_REF | 0.0296 | 0.0903 | 5.64 | 1.72e-08 | 0.0214 | 0.0657 | 4.86 | 1.17e-06 |
| BETA_TIME_PT_REF | ASC_CAR | 0.0276 | 0.269 | -5.32 | 1.04e-07 | 0.0307 | 0.249 | -4.73 | 2.2e-06 |
| BETA_TIME_PT_REF | ASC_SM | -0.0382 | -0.172 | -6.01 | 1.89e-09 | -0.0554 | -0.223 | -5.37 | 7.78e-08 |
| BETA_TIME_PT_REF | BETA_COST_HWH | 0.00401 | 0.0166 | -2.04 | 0.0415 | 0.00321 | 0.0077 | -1.74 | 0.0818 |
| BETA_TIME_PT_REF | BETA_COST_OTHER | -0.0201 | -0.148 | -2.93 | 0.00336 | -0.0587 | -0.251 | -2.5 | 0.0123 |
| BETA_TIME_PT_REF | BETA_DIST | 0.411 | 0.598 | 3.35 | 0.000797 | 0.548 | 0.696 | 3.55 | 0.000384 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_CL | 0.0699 | 0.414 | -2.34 | 0.0195 | 0.0809 | 0.407 | -2.08 | 0.0379 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_REF | 1.44 | 0.829 | 6.79 | 1.16e-11 | 1.85 | 0.823 | 5.76 | 8.25e-09 |
| BETA_TIME_PT_REF | BETA_TIME_PT_CL | -0.00615 | -0.045 | -2.11 | 0.035 | -0.00901 | -0.0684 | -1.89 | 0.0583 |
| BETA_WAITING_TIME | ASC_CAR | -0.000175 | -0.152 | -7.48 | 7.55e-14 | -0.000289 | -0.165 | -6.94 | 3.8e-12 |
| BETA_WAITING_TIME | ASC_SM | 0.000114 | 0.0455 | -8.11 | 4.44e-16 | -0.000127 | -0.0358 | -8.09 | 6.66e-16 |
| BETA_WAITING_TIME | BETA_COST_HWH | 1.55e-05 | 0.00572 | 5.87 | 4.28e-09 | 0.000583 | 0.0982 | 3.82 | 0.000135 |
| BETA_WAITING_TIME | BETA_COST_OTHER | 0.000194 | 0.127 | 5.49 | 4e-08 | 0.000733 | 0.22 | 3.6 | 0.000315 |
| BETA_WAITING_TIME | BETA_DIST | -0.0015 | -0.194 | 7.38 | 1.53e-13 | -0.000957 | -0.0852 | 7.22 | 5.02e-13 |
| BETA_WAITING_TIME | BETA_TIME_CAR_CL | -0.000466 | -0.246 | 8.15 | 4.44e-16 | -0.000462 | -0.163 | 7.76 | 8.66e-15 |
| BETA_WAITING_TIME | BETA_TIME_CAR_REF | 0.000835 | 0.0428 | 6.42 | 1.35e-10 | 0.00785 | 0.244 | 5.55 | 2.8e-08 |
| BETA_WAITING_TIME | BETA_TIME_PT_CL | 0.000132 | 0.0858 | 10.2 | 0 | 0.000338 | 0.18 | 12 | 0 |
| BETA_WAITING_TIME | BETA_TIME_PT_REF | -0.00268 | -0.329 | 4.08 | 4.6e-05 | -0.00257 | -0.199 | 3.64 | 0.000269 |
| sigma_s | ASC_CAR | -0.000525 | -0.0414 | 0.325 | 0.745 | -0.00227 | -0.195 | 0.309 | 0.757 |
| sigma_s | ASC_SM | -0.000285 | -0.0104 | -4.06 | 4.84e-05 | -0.00413 | -0.175 | -3.95 | 7.81e-05 |
| sigma_s | BETA_COST_HWH | -0.0028 | -0.0943 | 8.46 | 0 | -0.00761 | -0.193 | 5.69 | 1.28e-08 |
| sigma_s | BETA_COST_OTHER | -0.00209 | -0.124 | 9.12 | 0 | -0.00476 | -0.215 | 6.61 | 3.88e-11 |
| sigma_s | BETA_DIST | -0.00248 | -0.0292 | 8.5 | 0 | 0.0107 | 0.144 | 8.49 | 0 |
| sigma_s | BETA_TIME_CAR_CL | 0.0174 | 0.835 | 20.9 | 0 | 0.0151 | 0.802 | 17.8 | 0 |
| sigma_s | BETA_TIME_CAR_REF | 0.073 | 0.341 | 7.01 | 2.38e-12 | 0.0791 | 0.371 | 6.04 | 1.56e-09 |
| sigma_s | BETA_TIME_PT_CL | 0.0156 | 0.923 | 34.5 | 0 | 0.0112 | 0.897 | 37.5 | 0 |
| sigma_s | BETA_TIME_PT_REF | 0.0235 | 0.263 | 5.36 | 8.1e-08 | 0.0274 | 0.319 | 4.8 | 1.61e-06 |
| sigma_s | BETA_WAITING_TIME | -2.04e-05 | -0.0203 | 9.18 | 0 | 9.93e-05 | 0.0809 | 10.8 | 0 |
Smallest eigenvalue: 0.204793
Largest eigenvalue: 26817.6
Condition number: 130950