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 18:03:54.684577

Report file: 03scale.html
Database name: swissmetro
Illustrates heteroscedastic specification. A different scale is associated with different segments of the sample.

Estimation report

Number of estimated parameters: 5
Sample size: 6768
Excluded observations: 3960
Init log likelihood: -6964.663
Final log likelihood: -4976.691
Likelihood ratio test for the init. model: 3975.945
Rho-square for the init. model: 0.285
Rho-square-bar for the init. model: 0.285
Akaike Information Criterion: 9963.381
Bayesian Information Criterion: 9997.481
Final gradient norm: 3.2229E-02
Nbr of threads: 36
Algorithm: Newton with trust region for simple bound constraints
Proportion analytical hessian: 100.0%
Relative projected gradient: 1.134799e-05
Relative change: 5.760281364175501e-06
Number of iterations: 10
Number of function evaluations: 29
Number of gradient evaluations: 10
Number of hessian evaluations: 10
Cause of termination: Relative change = 5.76e-06 <= 1e-05
Optimization time: 0:00:00.115609

Estimated parameters

NameValueStd errt-testp-valueRob. Std errRob. t-testRob. p-value
ASC_CAR-0.01530.0132-1.160.2460.0185-0.8290.407
ASC_TRAIN-0.4470.0329-13.600.0411-10.90
B_COST-0.3570.0304-11.800.0384-9.310
B_TIME-0.3750.0315-11.900.0445-8.420
Scale_group34.180.30413.700.3711.30

Correlation of coefficients

Coefficient1Coefficient2CovarianceCorrelationt-testp-valueRob. cov.Rob. corr.Rob. t-testRob. p-value
ASC_TRAINASC_CAR0.0002070.475-14.800.0005240.688-13.70
B_COSTASC_CAR0.0001230.305-11.700.0001850.26-8.990
B_COSTASC_TRAIN0.0006040.6033.170.001540.0008660.5482.370.0178
B_TIMEASC_CAR-6.29e-05-0.151-9.990-0.000255-0.31-6.751.5e-11
B_TIMEASC_TRAIN0.0004020.3872.040.04180.0002590.1411.290.196
B_TIMEB_COST0.0007530.786-0.8430.3990.001320.774-0.6010.548
Scale_group3ASC_CAR0.0008650.21513.900.0020.29211.50
Scale_group3ASC_TRAIN0.007190.71716.400.01080.70813.50
Scale_group3B_COST0.007880.85116.300.01260.88413.50
Scale_group3B_TIME0.0080.83416.300.01210.73213.40

Smallest eigenvalue: 10.5761

Largest eigenvalue: 20380.1

Condition number: 1926.99