biogeme 3.2.8 [2021-07-26]

Python package

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Michel Bierlaire, Transport and Mobility Laboratory, Ecole Polytechnique Fédérale de Lausanne (EPFL)

This file has automatically been generated on 2021-07-26 18:03:43.437019

Report file: 01logitBis.html
Database name: swissmetro
Example of a logit model with three alternatives: Train, Car and Swissmetro. Same as 01logit, using bioLinearUtility, and introducing some options and features.

Estimation report

Number of estimated parameters: 4
Sample size: 6768
Excluded observations: 3960
Null log likelihood: -6964.663
Init log likelihood: -5533.155
Final log likelihood: -5331.252
Likelihood ratio test for the null model: 3266.822
Rho-square for the null model: 0.235
Rho-square-bar for the null model: 0.234
Likelihood ratio test for the init. model: 403.8058
Rho-square for the init. model: 0.0365
Rho-square-bar for the init. model: 0.0358
Akaike Information Criterion: 10670.5
Bayesian Information Criterion: 10697.78
Final gradient norm: 4.5802E-03
Bootstrapping time: 0:00:11.292297
Nbr of threads: 2
Algorithm: Newton with trust region for simple bound constraints
Proportion analytical hessian: 100.0%
Relative projected gradient: 5.423705e-07
Relative change: 0.0030568198881113506
Number of iterations: 3
Number of function evaluations: 10
Number of gradient evaluations: 4
Number of hessian evaluations: 4
Cause of termination: Relative gradient = 5.4e-07 <= 6.1e-06
Optimization time: 0:00:00.115150

Estimated parameters

NameValueStd errt-testp-valueRob. Std errRob. t-testRob. p-valueBootstrap[100] Std errBootstrap t-testBootstrap p-value

Correlation of coefficients

Coefficient1Coefficient2CovarianceCorrelationt-testp-valueRob. cov.Rob. corr.Rob. t-testRob. p-valueBoot. cov.Boot. corr.Boot. t-testBoot. p-value

Smallest eigenvalue: 159.083

Largest eigenvalue: 1469.54

Condition number: 9.23759