biogeme 2.6a [Mon Apr 17 15:32:48 CEST 2017]
Michel Bierlaire, EPFL
This file has automatically been generated.
Tue Apr 18 19:01:37 2017
Tip: click on the columns headers to sort a table [Credits]
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Example of a logit model for a transportation mode choice with 3 alternatives:
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- Train
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- Car
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- Swissmetro, an hypothetical high-speed train
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| Model: | Logit |
| Number of estimated parameters: | 4 |
| Number of observations: | 6768 |
| Number of individuals: | 6768 |
| Null log likelihood: | -6964.663 |
| Init log likelihood: | -6964.663 |
| Final log likelihood: | -5331.252 |
| Likelihood ratio test: | 3266.822 |
| Rho-square: | 0.235 |
| Adjusted rho-square: | 0.234 |
| Final gradient norm: | +4.554e-04 |
| Diagnostic: | Normal termination. Obj: 6.05545e-06 Const: 6.05545e-06 |
| Iterations: | 13 |
| Run time: | 00:00 |
| Variance-covariance: | from analytical hessian
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| Sample file: | ../swissmetro.dat |
Utility parameters
| Name | Value | Std err | t-test | p-value | | Robust Std err | Robust t-test | p-value | |
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| ASC_CAR | -0.155 | 0.0432 | -3.58 | 0.00 | | 0.0582 | -2.66 | 0.01 | |
| ASC_SM | 0.00 | fixed | | | | | | | |
| ASC_TRAIN | -0.701 | 0.0549 | -12.78 | 0.00 | | 0.0826 | -8.49 | 0.00 | |
| B_COST | -1.08 | 0.0518 | -20.91 | 0.00 | | 0.0682 | -15.89 | 0.00 | |
| B_TIME | -1.28 | 0.0569 | -22.46 | 0.00 | | 0.104 | -12.26 | 0.00 | |
Utility functions
| Id | Name | Availability | Specification |
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| 1 | A1_TRAIN | TRAIN_AV_SP | ASC_TRAIN * one + B_TIME * TRAIN_TT_SCALED + B_COST * TRAIN_COST_SCALED |
| 2 | A2_SM | SM_AV | ASC_SM * one + B_TIME * SM_TT_SCALED + B_COST * SM_COST_SCALED |
| 3 | A3_Car | CAR_AV_SP | ASC_CAR * one + B_TIME * CAR_TT_SCALED + B_COST * CAR_CO_SCALED |
Correlation of coefficients
| Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | | Rob. cov. | Rob. corr. | Rob. t-test | p-value | |
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B_COST | B_TIME | 0.000550 | 0.187 | 2.79 | 0.01 | | 0.00220 | 0.309 | 1.84 | 0.07 | * |
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ASC_TRAIN | B_TIME | -0.00225 | -0.722 | 5.56 | 0.00 | | -0.00760 | -0.883 | 3.18 | 0.00 | |
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ASC_TRAIN | B_COST | 8.22e-06 | 0.00289 | 5.08 | 0.00 | | -0.000831 | -0.147 | 3.34 | 0.00 | |
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ASC_CAR | B_TIME | -0.00144 | -0.585 | 12.57 | 0.00 | | -0.00482 | -0.796 | 7.27 | 0.00 | |
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ASC_CAR | B_COST | 0.000485 | 0.216 | 15.52 | 0.00 | | 2.86e-05 | 0.00722 | 10.40 | 0.00 | |
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ASC_CAR | ASC_TRAIN | 0.00138 | 0.580 | 11.85 | 0.00 | | 0.00390 | 0.812 | 11.16 | 0.00 | |
Smallest singular value of the hessian: 5.90497