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 17:50:43.698387
| Report file: | 01nestedEstimation.html |
| Database name: | optima |
| Number of estimated parameters: | 9 |
| Sample size: | 1906 |
| Excluded observations: | 359 |
| Init log likelihood: | -2093.955 |
| Final log likelihood: | -1298.498 |
| Likelihood ratio test for the init. model: | 1590.913 |
| Rho-square for the init. model: | 0.38 |
| Rho-square-bar for the init. model: | 0.376 |
| Akaike Information Criterion: | 2614.997 |
| Bayesian Information Criterion: | 2664.971 |
| Final gradient norm: | 1.1043E-02 |
| Bootstrapping time: | 0:00:20.298436 |
| Nbr of threads: | 16 |
| Algorithm: | Newton with trust region for simple bound constraints |
| Proportion analytical hessian: | 100.0% |
| Relative projected gradient: | 4.71589e-06 |
| Relative change: | 3.980330045005864e-05 |
| Number of iterations: | 10 |
| Number of function evaluations: | 31 |
| Number of gradient evaluations: | 11 |
| Number of hessian evaluations: | 11 |
| Cause of termination: | Relative gradient = 4.7e-06 <= 6.1e-06 |
| Optimization time: | 0:00:00.331841 |
| Name | Value | Std err | t-test | p-value | Rob. Std err | Rob. t-test | Rob. p-value | Bootstrap[100] Std err | Bootstrap t-test | Bootstrap p-value |
|---|---|---|---|---|---|---|---|---|---|---|
| ASC_CAR | 0.261 | 0.0837 | 3.12 | 0.00178 | 0.1 | 2.61 | 0.009 | 0.106 | 2.48 | 0.009 |
| ASC_SM | 0.0592 | 0.122 | 0.484 | 0.628 | 0.217 | 0.273 | 0.785 | 0.217 | 0.273 | 0.785 |
| BETA_COST | -0.716 | 0.0748 | -9.57 | 0 | 0.138 | -5.18 | 2.27e-07 | 0.14 | -5.13 | 2.27e-07 |
| BETA_DIST_FEMALE | -0.831 | 0.129 | -6.45 | 1.09e-10 | 0.193 | -4.31 | 1.64e-05 | 0.238 | -3.49 | 1.64e-05 |
| BETA_DIST_MALE | -0.686 | 0.104 | -6.58 | 4.61e-11 | 0.161 | -4.27 | 1.98e-05 | 0.177 | -3.88 | 1.98e-05 |
| BETA_DIST_UNREPORTED | -0.703 | 0.19 | -3.7 | 0.000215 | 0.196 | -3.58 | 0.000344 | 0.301 | -2.34 | 0.000344 |
| BETA_TIME_FULLTIME | -1.6 | 0.305 | -5.23 | 1.7e-07 | 0.333 | -4.8 | 1.61e-06 | 0.374 | -4.26 | 1.61e-06 |
| BETA_TIME_OTHER | -0.577 | 0.255 | -2.26 | 0.0239 | 0.296 | -1.95 | 0.0517 | 0.325 | -1.78 | 0.0517 |
| MU_NOCAR | 1.53 | 0.229 | 6.67 | 2.56e-11 | 0.306 | 5 | 5.73e-07 | 0.339 | 4.52 | 5.73e-07 |
| Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | Rob. cov. | Rob. corr. | Rob. t-test | Rob. p-value | Boot. cov. | Boot. corr. | Boot. t-test | Boot. p-value |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| ASC_SM | ASC_CAR | 0.00352 | 0.344 | -1.66 | 0.0977 | -0.00233 | -0.107 | -0.815 | 0.415 | -0.00435 | -0.19 | -0.782 | 0.434 |
| BETA_COST | ASC_CAR | 0.000294 | 0.0469 | -8.92 | 0 | 0.00152 | 0.11 | -6.05 | 1.47e-09 | 0.000456 | 0.031 | -5.67 | 1.43e-08 |
| BETA_COST | ASC_SM | 0.000726 | 0.0793 | -5.61 | 2.02e-08 | 0.00431 | 0.144 | -3.24 | 0.00121 | 0.00493 | 0.163 | -3.26 | 0.00113 |
| BETA_DIST_FEMALE | ASC_CAR | 0.00048 | 0.0446 | -7.26 | 3.76e-13 | 0.00285 | 0.148 | -5.36 | 8.21e-08 | 0.00383 | 0.152 | -4.45 | 8.57e-06 |
| BETA_DIST_FEMALE | ASC_SM | -0.00495 | -0.315 | -4.37 | 1.22e-05 | -0.0204 | -0.489 | -2.52 | 0.0118 | -0.0242 | -0.467 | -2.28 | 0.0225 |
| BETA_DIST_FEMALE | BETA_COST | 0.00219 | 0.227 | -0.861 | 0.389 | 0.00674 | 0.253 | -0.555 | 0.579 | 0.00768 | 0.231 | -0.465 | 0.642 |
| BETA_DIST_MALE | ASC_CAR | 0.000621 | 0.0712 | -7.35 | 1.99e-13 | 0.00622 | 0.386 | -6.19 | 6.06e-10 | 0.00766 | 0.411 | -5.77 | 8.12e-09 |
| BETA_DIST_MALE | ASC_SM | -0.00397 | -0.311 | -4.06 | 4.96e-05 | -0.0224 | -0.642 | -2.17 | 0.0297 | -0.0249 | -0.65 | -2.08 | 0.0373 |
| BETA_DIST_MALE | BETA_COST | 0.00183 | 0.234 | 0.265 | 0.791 | 0.00559 | 0.251 | 0.163 | 0.871 | 0.0057 | 0.231 | 0.151 | 0.88 |
| BETA_DIST_MALE | BETA_DIST_FEMALE | 0.00915 | 0.681 | 1.51 | 0.13 | 0.0156 | 0.504 | 0.812 | 0.417 | 0.0166 | 0.394 | 0.618 | 0.536 |
| BETA_DIST_UNREPORTED | ASC_CAR | 0.000572 | 0.036 | -4.71 | 2.48e-06 | 0.00247 | 0.126 | -4.62 | 3.89e-06 | 0.00141 | 0.0446 | -3.07 | 0.00213 |
| BETA_DIST_UNREPORTED | ASC_SM | -0.00399 | -0.172 | -3.14 | 0.0017 | -0.00774 | -0.182 | -2.4 | 0.0164 | -0.00895 | -0.137 | -1.93 | 0.0531 |
| BETA_DIST_UNREPORTED | BETA_COST | 0.00202 | 0.142 | 0.0681 | 0.946 | 0.00677 | 0.249 | 0.0629 | 0.95 | 0.0114 | 0.272 | 0.0448 | 0.964 |
| BETA_DIST_UNREPORTED | BETA_DIST_FEMALE | 0.00859 | 0.351 | 0.68 | 0.496 | 0.0146 | 0.387 | 0.594 | 0.552 | 0.019 | 0.265 | 0.388 | 0.698 |
| BETA_DIST_UNREPORTED | BETA_DIST_MALE | 0.00703 | 0.355 | -0.0924 | 0.926 | 0.0113 | 0.358 | -0.0819 | 0.935 | 0.00901 | 0.17 | -0.0521 | 0.958 |
| BETA_TIME_FULLTIME | ASC_CAR | 0.0151 | 0.593 | -7.03 | 2.12e-12 | 0.0236 | 0.708 | -6.85 | 7.41e-12 | 0.0271 | 0.686 | -5.96 | 2.52e-09 |
| BETA_TIME_FULLTIME | ASC_SM | 0.00886 | 0.237 | -5.51 | 3.67e-08 | -0.00848 | -0.118 | -3.96 | 7.43e-05 | -0.00819 | -0.101 | -3.67 | 0.000244 |
| BETA_TIME_FULLTIME | BETA_COST | -0.00121 | -0.0528 | -2.77 | 0.00566 | -0.000442 | -0.00961 | -2.43 | 0.0149 | -0.00188 | -0.0359 | -2.18 | 0.0295 |
| BETA_TIME_FULLTIME | BETA_DIST_FEMALE | 0.00544 | 0.138 | -2.43 | 0.015 | 0.0103 | 0.16 | -2.14 | 0.032 | 0.0183 | 0.205 | -1.91 | 0.0561 |
| BETA_TIME_FULLTIME | BETA_DIST_MALE | 0.00722 | 0.227 | -3.04 | 0.00236 | 0.0219 | 0.409 | -2.99 | 0.00282 | 0.0178 | 0.268 | -2.47 | 0.0136 |
| BETA_TIME_FULLTIME | BETA_DIST_UNREPORTED | 0.00346 | 0.0596 | -2.55 | 0.0107 | 0.00725 | 0.111 | -2.43 | 0.015 | 0.00646 | 0.0574 | -1.91 | 0.0555 |
| BETA_TIME_OTHER | ASC_CAR | 0.0142 | 0.663 | -4 | 6.28e-05 | 0.0224 | 0.755 | -3.64 | 0.000274 | 0.029 | 0.847 | -3.47 | 0.000528 |
| BETA_TIME_OTHER | ASC_SM | 0.00834 | 0.267 | -2.52 | 0.0116 | -0.00394 | -0.0614 | -1.68 | 0.0922 | -0.014 | -0.199 | -1.5 | 0.134 |
| BETA_TIME_OTHER | BETA_COST | -0.00328 | -0.172 | 0.501 | 0.616 | -0.0058 | -0.141 | 0.405 | 0.686 | -0.0048 | -0.106 | 0.38 | 0.704 |
| BETA_TIME_OTHER | BETA_DIST_FEMALE | 0.00351 | 0.107 | 0.93 | 0.352 | 0.00438 | 0.0766 | 0.746 | 0.456 | 0.0173 | 0.224 | 0.712 | 0.476 |
| BETA_TIME_OTHER | BETA_DIST_MALE | 0.00223 | 0.0837 | 0.409 | 0.683 | 0.011 | 0.23 | 0.361 | 0.718 | 0.017 | 0.297 | 0.342 | 0.733 |
| BETA_TIME_OTHER | BETA_DIST_UNREPORTED | 0.0038 | 0.0783 | 0.412 | 0.68 | 0.00507 | 0.0871 | 0.37 | 0.711 | 0.00436 | 0.0447 | 0.292 | 0.77 |
| BETA_TIME_OTHER | BETA_TIME_FULLTIME | 0.0348 | 0.447 | 3.42 | 0.000618 | 0.0556 | 0.563 | 3.45 | 0.000568 | 0.0737 | 0.606 | 3.25 | 0.00114 |
| MU_NOCAR | ASC_CAR | -0.00148 | -0.077 | 5.07 | 3.99e-07 | -0.00808 | -0.264 | 3.66 | 0.000249 | -0.0137 | -0.382 | 3.24 | 0.0012 |
| MU_NOCAR | ASC_SM | 0.00215 | 0.0767 | 5.85 | 5.03e-09 | 0.0389 | 0.588 | 5.88 | 4.19e-09 | 0.0372 | 0.506 | 4.97 | 6.57e-07 |
| MU_NOCAR | BETA_COST | 0.00454 | 0.264 | 10.1 | 0 | 0.0156 | 0.368 | 7.87 | 3.77e-15 | 0.0162 | 0.343 | 7.04 | 1.93e-12 |
| MU_NOCAR | BETA_DIST_FEMALE | 0.0199 | 0.675 | 13.8 | 0 | 0.0107 | 0.181 | 7.14 | 9.47e-13 | 0.0196 | 0.243 | 6.49 | 8.47e-11 |
| MU_NOCAR | BETA_DIST_MALE | 0.0165 | 0.69 | 12.7 | 0 | -0.00622 | -0.126 | 6.1 | 1.05e-09 | -0.0107 | -0.179 | 5.42 | 6.07e-08 |
| MU_NOCAR | BETA_DIST_UNREPORTED | 0.0148 | 0.341 | 9.19 | 0 | 0.0131 | 0.219 | 6.86 | 6.78e-12 | 0.00653 | 0.0642 | 5.09 | 3.49e-07 |
| MU_NOCAR | BETA_TIME_FULLTIME | 0.0065 | 0.0929 | 8.58 | 0 | -0.0178 | -0.175 | 6.38 | 1.76e-10 | -0.0284 | -0.224 | 5.6 | 2.17e-08 |
| MU_NOCAR | BETA_TIME_OTHER | -0.00092 | -0.0157 | 6.09 | 1.13e-09 | -0.0248 | -0.274 | 4.38 | 1.18e-05 | -0.0341 | -0.31 | 3.92 | 8.76e-05 |
Smallest eigenvalue: 8.05767
Largest eigenvalue: 532.383
Condition number: 66.0716