biogeme 2.6a [Mon Apr 17 15:32:48 CEST 2017]
Michel Bierlaire, EPFL
This file has automatically been generated.
Tue Apr 18 19:01:39 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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Nonlinear transforms of the variables are illustrated
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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: | -5423.299 |
| Likelihood ratio test: | 3082.728 |
| Rho-square: | 0.221 |
| Adjusted rho-square: | 0.221 |
| Final gradient norm: | +1.553e-03 |
| 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 | -0.274 | 0.0457 | -6.00 | 0.00 | | 0.0628 | -4.37 | 0.00 | |
| ASC_SM | 0.00 | fixed | | | | | | | |
| ASC_TRAIN | -0.851 | 0.0560 | -15.21 | 0.00 | | 0.0843 | -10.10 | 0.00 | |
| B_COST | -1.04 | 0.0595 | -17.43 | 0.00 | | 0.0661 | -15.68 | 0.00 | |
| B_TIME | -1.07 | 0.0547 | -19.59 | 0.00 | | 0.0970 | -11.05 | 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 * LOG_TRAIN_COST |
| 2 | A2_SM | SM_AV | ASC_SM * one + B_TIME * SM_TT_SCALED + B_COST * LOG_SM_COST |
| 3 | A3_Car | CAR_AV_SP | ASC_CAR * one + B_TIME * CAR_TT_SCALED + B_COST * LOG_CAR_COST |
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 | -9.40e-05 | -0.0289 | 0.43 | 0.67 | * | -0.000791 | -0.123 | 0.28 | 0.78 | * |
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ASC_TRAIN | B_TIME | -0.00223 | -0.727 | 2.14 | 0.03 | | -0.00721 | -0.882 | 1.25 | 0.21 | * |
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ASC_TRAIN | B_COST | 0.000671 | 0.202 | 2.54 | 0.01 | | 0.00160 | 0.287 | 2.03 | 0.04 | |
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ASC_CAR | B_TIME | -0.00150 | -0.602 | 8.86 | 0.00 | | -0.00496 | -0.814 | 5.22 | 0.00 | |
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ASC_CAR | B_COST | 0.00114 | 0.420 | 13.18 | 0.00 | | 0.00161 | 0.389 | 10.69 | 0.00 | |
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ASC_CAR | ASC_TRAIN | 0.00156 | 0.611 | 12.60 | 0.00 | | 0.00440 | 0.831 | 12.17 | 0.00 | |
Smallest singular value of the hessian: 5.9745