biogeme 2.5 [Dim 19 jui 2016 17:58:58 CEST]

Michel Bierlaire, EPFL

This file has automatically been generated.

Thu Jul 7 17:54:46 2016

Tip: click on the columns headers to sort a table [Credits]

Example of a Network GEV model. It is actually a cross nested logit model for a transportation mode choice with 3 alternatives:
- Train
- Car
- Swissmetro, an hypothetical high-speed train
We introduce a nest called EXISTING involving Car and Train
and a nest called PUBLIC involving Swissmetro and Train
Note that the alternative Train belongs to the two nests.
It is the same model as 11cnl.mod.
Model: Network GEV model
Number of estimated parameters: 8
Number of observations: 6768
Number of individuals: 6768
Null log likelihood: -6964.663
Init log likelihood: -6964.663
Final log likelihood: -5214.049
Likelihood ratio test: 3501.228
Rho-square: 0.251
Adjusted rho-square: 0.250
Final gradient norm: +2.100e-04
Diagnostic: Normal termination. Obj: 6.05545e-06 Const: 6.05545e-06
Iterations: 35
Run time: 00:16
Variance-covariance: from finite difference hessian
Sample file: ../swissmetro.dat

Utility parameters

Name Value Std err t-testp-value
ASC_CAR-0.2400.0384-6.260.00
ASC_SM0.00fixed
ASC_TRAIN-0.3810.0492-7.740.00
B_COST-0.8190.0446-18.360.00
B_TIME-0.7770.0558-13.930.00

Model parameters

NameValueStd errt-test 0p-valuet-test 1p-valueRobust Std errRobust t-test 0p-valueRobust t-test 1p-value
A1_TRAIN1.00fixed
A2_SM1.00fixed
A3_Car1.00fixed
EXISTING2.510.17514.400.008.680.00
PUBLIC4.110.5697.230.005.480.00
EXISTING_A1_TRAIN0.5690.08656.570.00-4.980.00
EXISTING_A3_Car1.00fixed
PUBLIC_A1_TRAIN0.4310.08654.980.00-6.570.00
PUBLIC_A2_SM1.00fixed
__ROOT_EXISTING1.00fixed
__ROOT_PUBLIC1.00fixed

Utility functions

IdNameAvailabilitySpecification
1A1_TRAINTRAIN_AV_SPASC_TRAIN * one + B_TIME * TRAIN_TT_SCALED + B_COST * TRAIN_COST_SCALED
2A2_SMSM_AVASC_SM * one + B_TIME * SM_TT_SCALED + B_COST * SM_COST_SCALED
3A3_CarCAR_AV_SPASC_CAR * one + B_TIME * CAR_TT_SCALED + B_COST * CAR_CO_SCALED

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testp-valueRob. cov.Rob. corr.Rob. t-testp-value
ASC_CAR ASC_TRAIN0.0006470.3432.750.01
ASC_CAR B_COST-0.000103-0.06019.540.00
ASC_CAR B_TIME-0.00132-0.6146.310.00
ASC_TRAIN B_COST0.0007110.3248.020.00
ASC_TRAIN B_TIME-0.000637-0.2324.810.00
B_COST B_TIME0.001150.460-0.790.43 *

User defined linear constraints

1*EXISTING_A1_TRAIN + 1*PUBLIC_A1_TRAIN = 1 [1 = 1]

Smallest singular value of the hessian: 0.837813