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

Michel Bierlaire, EPFL

This file has automatically been generated.

Wed Jul 6 20:06:12 2016

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

Example of a logit model for a transportation mode choice with 3 alternatives:
- Train
- Car
- Swissmetro, an hypothetical high-speed train
A Box-Cox transform is applied to the travel time variable
Model: Logit
Number of estimated parameters: 5
Number of observations: 6768
Number of individuals: 6768
Null log likelihood: -6964.663
Init log likelihood: -6964.663
Final log likelihood: -5292.095
Likelihood ratio test: 3345.135
Rho-square: 0.240
Adjusted rho-square: 0.239
Final gradient norm: +6.878e-04
Diagnostic: Normal termination. Obj: 6.05545e-06 Const: 6.05545e-06
Iterations: 17
Run time: 00:01
Variance-covariance: from finite difference hessian
Sample file: ../swissmetro.dat

Utility parameters

Name Value Std err t-testp-valueRobust Std err Robust t-testp-value
ASC_CAR-0.004620.0471-0.100.92*0.0480-0.100.92*
ASC_SM0.00fixed
ASC_TRAIN-0.4850.0614-7.900.000.0644-7.530.00
B_COST-1.080.0520-20.740.000.0680-15.860.00
B_TIME-1.670.0744-22.510.000.0766-21.880.00
LAMBDA0.5100.05199.830.000.07736.600.00

Utility functions

IdNameAvailabilitySpecification
1A1_TRAINTRAIN_AV_SPASC_TRAIN * one + B_COST * TRAIN_COST_SCALED + ( B_TIME * ( ( TRAIN_TT_SCALED ** LAMBDA ) - 1 ) ) / LAMBDA
2A2_SMSM_AVASC_SM * one + B_COST * SM_COST_SCALED + ( B_TIME * ( ( SM_TT_SCALED ** LAMBDA ) - 1 ) ) / LAMBDA
3A3_CarCAR_AV_SPASC_CAR * one + B_COST * CAR_CO_SCALED + ( B_TIME * ( ( CAR_TT_SCALED ** LAMBDA ) - 1 ) ) / LAMBDA

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testp-valueRob. cov.Rob. corr.Rob. t-testp-value
ASC_CAR LAMBDA-0.000543-0.222-6.650.00 0.0004280.115-5.970.00
ASC_TRAIN B_COST2.88e-060.0009017.380.00 -0.000245-0.05606.170.00
B_COST B_TIME0.0005750.1497.080.00 0.001310.2516.720.00
ASC_TRAIN B_TIME-0.00357-0.7829.280.00 -0.00387-0.7868.930.00
ASC_CAR ASC_TRAIN0.001880.65110.190.00 0.002180.70510.500.00
ASC_TRAIN LAMBDA-0.000715-0.224-11.200.00 0.001160.233-11.260.00
ASC_CAR B_COST0.0004810.19717.070.00 0.0004360.13313.800.00
B_COST LAMBDA-0.000157-0.0582-21.020.00 -0.000985-0.187-14.170.00
ASC_CAR B_TIME-0.00231-0.66115.010.00 -0.00245-0.66814.610.00
B_TIME LAMBDA0.001420.367-29.750.00 -0.000703-0.119-18.990.00

Smallest singular value of the hessian: 1.42687