biogeme 3.2.6 [2020-05-30]
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 2020-05-30 18:03:56.958119
If you drag this HTML file into the Calc application of OpenOffice, or the spreadsheet of LibreOffice, you will be able to perform additional calculations.
| 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: | -1094.545 |
| Likelihood ratio test for the init. model: | 1998.82 |
| Rho-square for the init. model: | 0.477 |
| Rho-square-bar for the init. model: | 0.472 |
| Akaike Information Criterion: | 2211.09 |
| Bayesian Information Criterion: | 2272.171 |
| Final gradient norm: | 3.6826E-03 |
| Nbr of threads: | 36 |
| Algorithm: | BFGS with trust region for simple bound constraints |
| Proportion analytical hessian: | 0.0% |
| Relative projected gradient: | 6.06215e-06 |
| Number of iterations: | 725 |
| Number of function evaluations: | 2108 |
| Number of gradient evaluations: | 692 |
| Number of hessian evaluations: | 0 |
| Cause of termination: | Relative gradient = 6.1e-06 <= 6.1e-06 |
| Optimization time: | 0:05:06.135360 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|
| ASC_CAR | 0.73 | 0.128 | 5.69 | 1.29e-08 | 0.124 | 5.87 | 4.4e-09 |
| ASC_SM | 1.77 | 0.252 | 7.05 | 1.78e-12 | 0.232 | 7.64 | 2.24e-14 |
| BETA_COST_HWH | -1.79 | 0.31 | -5.77 | 7.93e-09 | 0.51 | -3.5 | 0.000462 |
| BETA_COST_OTHER | -0.83 | 0.16 | -5.19 | 2.13e-07 | 0.234 | -3.55 | 0.00039 |
| BETA_DIST | -5.4 | 0.675 | -8 | 1.33e-15 | 0.619 | -8.73 | 0 |
| BETA_TIME_CAR_CL | -1.4 | 0.0761 | -18.3 | 0 | 0.0646 | -21.6 | 0 |
| BETA_TIME_CAR_REF | -17.4 | 2.14 | -8.13 | 4.44e-16 | 2.31 | -7.51 | 5.82e-14 |
| BETA_TIME_PT_CL | -1.01 | 0.0753 | -13.4 | 0 | 0.0568 | -17.8 | 0 |
| BETA_TIME_PT_REF | -6.33 | 0.926 | -6.84 | 7.79e-12 | 0.91 | -6.96 | 3.36e-12 |
| BETA_WAITING_TIME | -0.0277 | 0.0104 | -2.66 | 0.0078 | 0.015 | -1.85 | 0.065 |
| sigma_s | 0.963 | 0.0476 | 20.2 | 0 | 0.0314 | 30.6 | 0 |
| Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | Rob. cov. | Rob. corr. | Rob. t-test | Rob. p-value |
|---|---|---|---|---|---|---|---|---|---|
| ASC_SM | ASC_CAR | 0.0119 | 0.368 | 4.41 | 1.02e-05 | 0.00747 | 0.259 | 4.47 | 7.66e-06 |
| BETA_COST_HWH | ASC_CAR | 0.00471 | 0.118 | -7.84 | 4.44e-15 | 0.00973 | 0.153 | -4.97 | 6.67e-07 |
| BETA_COST_HWH | ASC_SM | 0.00457 | 0.0587 | -9.19 | 0 | 0.0127 | 0.107 | -6.63 | 3.46e-11 |
| BETA_COST_OTHER | ASC_CAR | 0.00228 | 0.111 | -8.06 | 8.88e-16 | 0.00746 | 0.256 | -6.63 | 3.28e-11 |
| BETA_COST_OTHER | ASC_SM | 0.00324 | 0.0805 | -9.07 | 0 | 0.00848 | 0.156 | -8.6 | 0 |
| BETA_COST_OTHER | BETA_COST_HWH | 0.00237 | 0.0479 | 2.8 | 0.00508 | 0.00893 | 0.0748 | 1.76 | 0.0791 |
| BETA_DIST | ASC_CAR | 0.00608 | 0.0703 | -9.04 | 0 | 0.0141 | 0.183 | -10.1 | 0 |
| BETA_DIST | ASC_SM | -0.109 | -0.644 | -8.35 | 0 | -0.0838 | -0.583 | -9.23 | 0 |
| BETA_DIST | BETA_COST_HWH | 0.00565 | 0.027 | -4.92 | 8.82e-07 | 0.0104 | 0.0331 | -4.58 | 4.64e-06 |
| BETA_DIST | BETA_COST_OTHER | 0.000418 | 0.00387 | -6.6 | 4.24e-11 | 0.00577 | 0.0399 | -7 | 2.49e-12 |
| BETA_TIME_CAR_CL | ASC_CAR | 0.000164 | 0.0168 | -14.4 | 0 | 0.000156 | 0.0195 | -15.3 | 0 |
| BETA_TIME_CAR_CL | ASC_SM | -0.0073 | -0.381 | -11 | 0 | -0.00472 | -0.315 | -12.2 | 0 |
| BETA_TIME_CAR_CL | BETA_COST_HWH | -0.000221 | -0.00936 | 1.23 | 0.221 | -0.00581 | -0.176 | 0.745 | 0.456 |
| BETA_TIME_CAR_CL | BETA_COST_OTHER | -0.000779 | -0.064 | -3.12 | 0.00182 | -0.00578 | -0.382 | -2.13 | 0.0331 |
| BETA_TIME_CAR_CL | BETA_DIST | 0.0193 | 0.376 | 6.16 | 7.29e-10 | 0.00867 | 0.217 | 6.59 | 4.45e-11 |
| BETA_TIME_CAR_REF | ASC_CAR | -0.00218 | -0.00797 | -8.45 | 0 | 0.0197 | 0.0687 | -7.85 | 4.22e-15 |
| BETA_TIME_CAR_REF | ASC_SM | -0.146 | -0.272 | -8.63 | 0 | -0.154 | -0.287 | -8.01 | 1.11e-15 |
| BETA_TIME_CAR_REF | BETA_COST_HWH | 0.00596 | 0.00901 | -7.22 | 5.08e-13 | 0.15 | 0.127 | -6.76 | 1.34e-11 |
| BETA_TIME_CAR_REF | BETA_COST_OTHER | 0.00192 | 0.00561 | -7.72 | 1.18e-14 | 0.167 | 0.309 | -7.35 | 2.02e-13 |
| BETA_TIME_CAR_REF | BETA_DIST | 0.798 | 0.554 | -6.46 | 1.02e-10 | 0.94 | 0.658 | -6.1 | 1.05e-09 |
| BETA_TIME_CAR_REF | BETA_TIME_CAR_CL | -0.0632 | -0.389 | -7.37 | 1.75e-13 | -0.0807 | -0.541 | -6.8 | 1.02e-11 |
| BETA_TIME_PT_CL | ASC_CAR | -0.00301 | -0.311 | -10.4 | 0 | -0.00236 | -0.335 | -11.4 | 0 |
| BETA_TIME_PT_CL | ASC_SM | -0.00854 | -0.45 | -9.48 | 0 | -0.00474 | -0.36 | -10.8 | 0 |
| BETA_TIME_PT_CL | BETA_COST_HWH | -0.000668 | -0.0286 | 2.43 | 0.0152 | -0.00548 | -0.189 | 1.49 | 0.137 |
| BETA_TIME_PT_CL | BETA_COST_OTHER | 0.000452 | 0.0375 | -1.02 | 0.306 | -0.00233 | -0.175 | -0.713 | 0.476 |
| BETA_TIME_PT_CL | BETA_DIST | 0.0142 | 0.28 | 6.68 | 2.44e-11 | 0.00332 | 0.0945 | 7.13 | 9.89e-13 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_CL | 0.00487 | 0.85 | 9.33 | 0 | 0.00286 | 0.781 | 9.48 | 0 |
| BETA_TIME_PT_CL | BETA_TIME_CAR_REF | -0.0611 | -0.38 | 7.55 | 4.4e-14 | -0.0564 | -0.43 | 7 | 2.56e-12 |
| BETA_TIME_PT_REF | ASC_CAR | 0.0411 | 0.346 | -7.94 | 2e-15 | 0.0426 | 0.377 | -8.11 | 4.44e-16 |
| BETA_TIME_PT_REF | ASC_SM | -0.0368 | -0.158 | -8.13 | 4.44e-16 | -0.0526 | -0.249 | -8.16 | 2.22e-16 |
| BETA_TIME_PT_REF | BETA_COST_HWH | 0.00821 | 0.0287 | -4.7 | 2.62e-06 | 0.0536 | 0.115 | -4.59 | 4.42e-06 |
| BETA_TIME_PT_REF | BETA_COST_OTHER | -0.0112 | -0.076 | -5.79 | 7.21e-09 | 0.0262 | 0.123 | -6.04 | 1.53e-09 |
| BETA_TIME_PT_REF | BETA_DIST | 0.37 | 0.592 | -1.23 | 0.217 | 0.423 | 0.752 | -1.55 | 0.122 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_CL | -0.0187 | -0.266 | -5.21 | 1.94e-07 | -0.0159 | -0.271 | -5.31 | 1.07e-07 |
| BETA_TIME_PT_REF | BETA_TIME_CAR_REF | 1.68 | 0.847 | 7.66 | 1.8e-14 | 1.72 | 0.818 | 6.68 | 2.45e-11 |
| BETA_TIME_PT_REF | BETA_TIME_PT_CL | -0.0363 | -0.521 | -5.51 | 3.65e-08 | -0.0282 | -0.547 | -5.65 | 1.57e-08 |
| BETA_WAITING_TIME | ASC_CAR | -0.000215 | -0.161 | -5.81 | 6.3e-09 | -0.00031 | -0.167 | -5.93 | 3.01e-09 |
| BETA_WAITING_TIME | ASC_SM | -2.02e-06 | -0.000771 | -7.15 | 8.39e-13 | -2.92e-05 | -0.00838 | -7.73 | 1.04e-14 |
| BETA_WAITING_TIME | BETA_COST_HWH | -1.37e-05 | -0.00426 | 5.68 | 1.37e-08 | 0.000552 | 0.0722 | 3.45 | 0.000553 |
| BETA_WAITING_TIME | BETA_COST_OTHER | 0.00018 | 0.108 | 5.04 | 4.66e-07 | 0.000674 | 0.192 | 3.46 | 0.000532 |
| BETA_WAITING_TIME | BETA_DIST | -0.000808 | -0.115 | 7.95 | 2e-15 | -0.000893 | -0.0963 | 8.66 | 0 |
| BETA_WAITING_TIME | BETA_TIME_CAR_CL | -8.39e-05 | -0.106 | 17.6 | 0 | -0.000318 | -0.328 | 19.3 | 0 |
| BETA_WAITING_TIME | BETA_TIME_CAR_REF | 0.000363 | 0.0164 | 8.11 | 4.44e-16 | 0.00714 | 0.206 | 7.51 | 5.91e-14 |
| BETA_WAITING_TIME | BETA_TIME_PT_CL | 0.000151 | 0.192 | 13.2 | 0 | 0.000121 | 0.143 | 17.3 | 0 |
| BETA_WAITING_TIME | BETA_TIME_PT_REF | -0.00308 | -0.321 | 6.79 | 1.14e-11 | -0.0035 | -0.256 | 6.9 | 5.15e-12 |
| sigma_s | ASC_CAR | -0.000648 | -0.106 | 1.65 | 0.0996 | -0.00067 | -0.171 | 1.75 | 0.0807 |
| sigma_s | ASC_SM | -0.00138 | -0.115 | -3.1 | 0.0019 | -0.00153 | -0.21 | -3.37 | 0.000754 |
| sigma_s | BETA_COST_HWH | -0.000837 | -0.0568 | 8.7 | 0 | -0.00295 | -0.184 | 5.32 | 1.04e-07 |
| sigma_s | BETA_COST_OTHER | -0.0007 | -0.092 | 10.5 | 0 | -0.000818 | -0.111 | 7.49 | 7.13e-14 |
| sigma_s | BETA_DIST | -0.00229 | -0.0713 | 9.36 | 0 | -0.000438 | -0.0225 | 10.3 | 0 |
| sigma_s | BETA_TIME_CAR_CL | 0.00195 | 0.538 | 36.6 | 0 | 0.00104 | 0.512 | 42.5 | 0 |
| sigma_s | BETA_TIME_CAR_REF | -0.00799 | -0.0787 | 8.56 | 0 | -0.0113 | -0.155 | 7.91 | 2.44e-15 |
| sigma_s | BETA_TIME_PT_CL | 0.00186 | 0.518 | 30.3 | 0 | 0.00105 | 0.589 | 42.9 | 0 |
| sigma_s | BETA_TIME_PT_REF | -0.00765 | -0.174 | 7.8 | 6e-15 | -0.00642 | -0.224 | 7.95 | 1.78e-15 |
| sigma_s | BETA_WAITING_TIME | 2.1e-05 | 0.0426 | 20.5 | 0 | -1.6e-07 | -0.00034 | 28.4 | 0 |
Smallest eigenvalue: 0.186148
Largest eigenvalue: 22829.6
Condition number: 122642