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 19:52:21.091693
| Report file: | 04latentChoiceSeq.html |
| Database name: | optima |
| Number of estimated parameters: | 11 |
| Sample size: | 1906 |
| Excluded observations: | 359 |
| Init log likelihood: | -2093.955 |
| Final log likelihood: | -1093.947 |
| Likelihood ratio test for the init. model: | 2000.017 |
| Rho-square for the init. model: | 0.478 |
| Rho-square-bar for the init. model: | 0.472 |
| Akaike Information Criterion: | 2209.893 |
| Bayesian Information Criterion: | 2270.973 |
| Final gradient norm: | 7.8273E-03 |
| Nbr of threads: | 36 |
| Algorithm: | Newton with trust region for simple bound constraints |
| Proportion analytical hessian: | 100.0% |
| Relative projected gradient: | 1.083546e-05 |
| Relative change: | 3.963552414554681e-07 |
| Number of iterations: | 108 |
| Number of function evaluations: | 253 |
| Number of gradient evaluations: | 73 |
| Number of hessian evaluations: | 73 |
| Cause of termination: | Relative change = 3.96e-07 <= 1e-05 |
| Optimization time: | 0:01:35.752525 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|
| ASC_CAR | 0.787 | 0.127 | 6.21 | 5.32e-10 | 0.127 | 6.22 | 4.99e-10 |
| ASC_SM | 1.94 | 0.249 | 7.78 | 7.11e-15 | 0.253 | 7.66 | 1.8e-14 |
| BETA_COST_HWH | -1.84 | 0.314 | -5.87 | 4.46e-09 | 0.523 | -3.52 | 0.000425 |
| BETA_COST_OTHER | -0.872 | 0.157 | -5.57 | 2.59e-08 | 0.232 | -3.76 | 0.000167 |
| BETA_DIST | -5.88 | 0.706 | -8.33 | 0 | 0.685 | -8.58 | 0 |
| BETA_TIME_CAR_CL | -1.45 | 0.0876 | -16.6 | 0 | 0.0965 | -15 | 0 |
| BETA_TIME_CAR_REF | -15.7 | 1.93 | -8.13 | 4.44e-16 | 2.07 | -7.56 | 3.95e-14 |
| BETA_TIME_PT_CL | -1.09 | 0.0861 | -12.7 | 0 | 0.0962 | -11.4 | 0 |
| BETA_TIME_PT_REF | -5.53 | 0.852 | -6.49 | 8.49e-11 | 0.878 | -6.3 | 3.03e-10 |
| BETA_WAITING_TIME | -0.0306 | 0.0104 | -2.95 | 0.00319 | 0.015 | -2.04 | 0.0416 |
| sigma_s | 1.02 | 0.0675 | 15.1 | 0 | 0.0741 | 13.8 | 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 | 4.81 | 1.5e-06 | 0.0095 | 0.297 | 4.66 | 3.11e-06 |
| BETA_COST_HWH | ASC_CAR | 0.00487 | 0.122 | -8.12 | 4.44e-16 | 0.0103 | 0.156 | -5.07 | 3.92e-07 |
| BETA_COST_HWH | ASC_SM | 0.00493 | 0.063 | -9.74 | 0 | 0.013 | 0.0982 | -6.78 | 1.22e-11 |
| BETA_COST_OTHER | ASC_CAR | 0.00278 | 0.14 | -8.86 | 0 | 0.00755 | 0.257 | -7.1 | 1.26e-12 |
| BETA_COST_OTHER | ASC_SM | 0.00551 | 0.141 | -10.2 | 0 | 0.00961 | 0.164 | -8.96 | 0 |
| BETA_COST_OTHER | BETA_COST_HWH | 0.00215 | 0.0437 | 2.81 | 0.00493 | 0.0106 | 0.0874 | 1.75 | 0.0796 |
| BETA_DIST | ASC_CAR | 0.0135 | 0.151 | -9.55 | 0 | 0.0158 | 0.182 | -9.89 | 0 |
| BETA_DIST | ASC_SM | -0.105 | -0.597 | -8.91 | 0 | -0.0968 | -0.558 | -9.17 | 0 |
| BETA_DIST | BETA_COST_HWH | 0.00625 | 0.0282 | -5.29 | 1.26e-07 | 0.0205 | 0.0572 | -4.82 | 1.43e-06 |
| BETA_DIST | BETA_COST_OTHER | -0.00395 | -0.0357 | -6.88 | 6.13e-12 | 0.0101 | 0.0637 | -7.06 | 1.69e-12 |
| BETA_TIME_CAR_CL | ASC_CAR | 7.2e-06 | 0.000649 | -14.5 | 0 | -0.0022 | -0.18 | -13 | 0 |
| BETA_TIME_CAR_CL | ASC_SM | -0.00749 | -0.343 | -11.6 | 0 | -0.0107 | -0.438 | -11 | 0 |
| BETA_TIME_CAR_CL | BETA_COST_HWH | -0.000803 | -0.0292 | 1.2 | 0.232 | -0.00855 | -0.17 | 0.717 | 0.473 |
| BETA_TIME_CAR_CL | BETA_COST_OTHER | -0.00279 | -0.203 | -2.97 | 0.00302 | -0.0096 | -0.429 | -2.01 | 0.0443 |
| BETA_TIME_CAR_CL | BETA_DIST | 0.0147 | 0.238 | 6.42 | 1.35e-10 | 0.0124 | 0.187 | 6.57 | 4.92e-11 |
| BETA_TIME_CAR_REF | ASC_CAR | -0.0188 | -0.0771 | -8.48 | 0 | 0.0173 | 0.0661 | -7.96 | 1.78e-15 |
| BETA_TIME_CAR_REF | ASC_SM | -0.186 | -0.389 | -8.65 | 0 | -0.134 | -0.256 | -8.19 | 2.22e-16 |
| BETA_TIME_CAR_REF | BETA_COST_HWH | 0.0146 | 0.0241 | -7.11 | 1.14e-12 | 0.158 | 0.146 | -6.71 | 1.99e-11 |
| BETA_TIME_CAR_REF | BETA_COST_OTHER | 0.0348 | 0.115 | -7.73 | 1.09e-14 | 0.195 | 0.407 | -7.44 | 1.01e-13 |
| BETA_TIME_CAR_REF | BETA_DIST | 0.974 | 0.717 | -6.51 | 7.45e-11 | 0.987 | 0.695 | -5.86 | 4.6e-09 |
| BETA_TIME_CAR_REF | BETA_TIME_CAR_CL | -0.0625 | -0.371 | -7.25 | 4.07e-13 | -0.0979 | -0.49 | -6.7 | 2.02e-11 |
| BETA_TIME_PT_CL | ASC_CAR | -0.00323 | -0.296 | -10.9 | 0 | -0.0051 | -0.419 | -9.98 | 0 |
| BETA_TIME_PT_CL | ASC_SM | -0.00761 | -0.355 | -10.4 | 0 | -0.0109 | -0.448 | -9.83 | 0 |
| BETA_TIME_PT_CL | BETA_COST_HWH | -0.0014 | -0.052 | 2.27 | 0.0231 | -0.0084 | -0.167 | 1.37 | 0.171 |
| BETA_TIME_PT_CL | BETA_COST_OTHER | -0.00167 | -0.124 | -1.17 | 0.242 | -0.00596 | -0.267 | -0.803 | 0.422 |
| BETA_TIME_PT_CL | BETA_DIST | 0.00381 | 0.0627 | 6.79 | 1.14e-11 | 0.00435 | 0.066 | 6.98 | 2.94e-12 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_CL | 0.00664 | 0.882 | 8.45 | 0 | 0.00829 | 0.893 | 8.01 | 1.11e-15 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_REF | -0.0551 | -0.332 | 7.45 | 9.33e-14 | -0.0741 | -0.372 | 6.91 | 4.87e-12 |
| BETA_TIME_PT_REF | ASC_CAR | 0.0348 | 0.323 | -7.71 | 1.31e-14 | 0.048 | 0.432 | -7.6 | 3.02e-14 |
| BETA_TIME_PT_REF | ASC_SM | -0.0534 | -0.251 | -7.9 | 2.89e-15 | -0.027 | -0.121 | -7.92 | 2.44e-15 |
| BETA_TIME_PT_REF | BETA_COST_HWH | 0.013 | 0.0487 | -4.13 | 3.64e-05 | 0.0647 | 0.141 | -3.86 | 0.000115 |
| BETA_TIME_PT_REF | BETA_COST_OTHER | 0.00394 | 0.0295 | -5.41 | 6.44e-08 | 0.0426 | 0.209 | -5.42 | 6.11e-08 |
| BETA_TIME_PT_REF | BETA_DIST | 0.464 | 0.772 | 0.64 | 0.522 | 0.439 | 0.729 | 0.577 | 0.564 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_CL | -0.0231 | -0.31 | -4.62 | 3.79e-06 | -0.0374 | -0.441 | -4.41 | 1.02e-05 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_REF | 1.33 | 0.81 | 7.6 | 2.93e-14 | 1.4 | 0.769 | 6.74 | 1.62e-11 |
| BETA_TIME_PT_REF | BETA_TIME_PT_CL | -0.04 | -0.545 | -4.92 | 8.55e-07 | -0.0529 | -0.626 | -4.71 | 2.42e-06 |
| BETA_WAITING_TIME | ASC_CAR | -0.000193 | -0.146 | -6.35 | 2.09e-10 | -0.000363 | -0.191 | -6.28 | 3.44e-10 |
| BETA_WAITING_TIME | ASC_SM | 4.23e-05 | 0.0163 | -7.9 | 2.66e-15 | -0.000257 | -0.0677 | -7.74 | 9.99e-15 |
| BETA_WAITING_TIME | BETA_COST_HWH | -2.22e-05 | -0.00681 | 5.76 | 8.2e-09 | 0.000517 | 0.0658 | 3.47 | 0.000519 |
| BETA_WAITING_TIME | BETA_COST_OTHER | 0.000157 | 0.0967 | 5.39 | 6.87e-08 | 0.000675 | 0.194 | 3.67 | 0.000242 |
| BETA_WAITING_TIME | BETA_DIST | -0.00117 | -0.16 | 8.27 | 2.22e-16 | -0.000889 | -0.0863 | 8.52 | 0 |
| BETA_WAITING_TIME | BETA_TIME_CAR_CL | -2.97e-05 | -0.0326 | 16 | 0 | -0.000102 | -0.0707 | 14.4 | 0 |
| BETA_WAITING_TIME | BETA_TIME_CAR_REF | 0.000896 | 0.0448 | 8.12 | 4.44e-16 | 0.00641 | 0.206 | 7.56 | 4.06e-14 |
| BETA_WAITING_TIME | BETA_TIME_PT_CL | 0.000215 | 0.24 | 12.6 | 0 | 0.000384 | 0.266 | 11.4 | 0 |
| BETA_WAITING_TIME | BETA_TIME_PT_REF | -0.00293 | -0.331 | 6.43 | 1.28e-10 | -0.00418 | -0.317 | 6.23 | 4.73e-10 |
| sigma_s | ASC_CAR | -0.00235 | -0.275 | 1.48 | 0.14 | -0.00385 | -0.411 | 1.37 | 0.169 |
| sigma_s | ASC_SM | -0.00582 | -0.346 | -3.28 | 0.00105 | -0.00861 | -0.459 | -3.11 | 0.00184 |
| sigma_s | BETA_COST_HWH | -0.00112 | -0.0529 | 8.82 | 0 | -0.00658 | -0.17 | 5.3 | 1.15e-07 |
| sigma_s | BETA_COST_OTHER | -0.00142 | -0.135 | 10.6 | 0 | -0.00468 | -0.272 | 7.23 | 4.69e-13 |
| sigma_s | BETA_DIST | 0.0033 | 0.0692 | 9.8 | 0 | 0.00448 | 0.0881 | 10.1 | 0 |
| sigma_s | BETA_TIME_CAR_CL | 0.0052 | 0.88 | 57.9 | 0 | 0.00645 | 0.901 | 56.5 | 0 |
| sigma_s | BETA_TIME_CAR_REF | -0.0376 | -0.29 | 8.57 | 0 | -0.0555 | -0.362 | 7.95 | 2e-15 |
| sigma_s | BETA_TIME_PT_CL | 0.00568 | 0.979 | 86.9 | 0 | 0.00711 | 0.997 | 92.3 | 0 |
| sigma_s | BETA_TIME_PT_REF | -0.0282 | -0.49 | 7.39 | 1.5e-13 | -0.0391 | -0.601 | 7.09 | 1.38e-12 |
| sigma_s | BETA_WAITING_TIME | 0.000143 | 0.204 | 15.9 | 0 | 0.000256 | 0.23 | 14.6 | 0 |
Smallest eigenvalue: 0.221503
Largest eigenvalue: 37750.5
Condition number: 170429