BIOGEME Version 1.4 [Mon Dec 12 15:00:43 GMT 2005]

Author: Michel Bierlaire, EPFL (2001-2005)

This file has automatically been generated.

07/27/06 14:53:22

Synthetic data results for W 1-2 1000h

Model: Mixed Multinomial Logit
Number of Halton draws: 1000
Number of estimated parameters: 5
Number of observations: 4000
Number of individuals: 4000
Null log-likelihood: -4394.45
Init log-likelihood: -2816.37
Final log-likelihood: -2765.23
Likelihood ratio test: 3258.43
Rho-square: 0.370744
Adjusted rho-square: 0.369606
Final gradient norm: 4.23236e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.3495484e+000+2.0625212e-001+6.5431978e+000+2.0198547e-001+6.6814132e+000
ASC2 +3.5142961e-001+9.5427708e-002+3.6826789e+000+9.4678183e-002+3.7118331e+000
ASC3 +0.0000000e+000 fixed
BETA -1.0048660e+000+1.6942788e-001-5.9309367e+000+1.6466799e-001-6.1023759e+000
SIGMA1 +3.0766188e+000+6.7874340e-001+4.5328158e+000+6.6097189e-001+4.6546894e+000
SIGMA2 +2.1922586e+000+6.1249636e-001+3.5792189e+000+5.8991456e-001+3.7162306e+000
SIGMA3 +0.0000000e+000 fixed

Scale parameters

Name Value Std err t-test 1Robust Std err Robust t-test 1
Scale1 +1.0000000e+000 fixed

Utility functions

1Alt1avASC1 [ SIGMA1 ] * one + BETA * x1
2Alt2avASC2 [ SIGMA2 ] * one + BETA * x2
3Alt3avASC3 [ SIGMA3 ] * one + BETA * x3

Variance of random coefficients

NameValueStd errt-testRobust Std errRobust t-test
ASC1_SIGMA1+9.4655833e+000+4.1764694e+000+2.2664079e+000
ASC2_SIGMA2+4.8059976e+000+2.6855008e+000+1.7896094e+000
ASC3_SIGMA3+0.0000000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA21.0994194e-0018.7028494e-001-1.8947699e+000*1.0327135e-0018.6670362e-001-1.9739628e+000
ASC2 SIGMA2-5.7468901e-003-9.8322946e-002-2.9261855e+000-5.3030702e-003-9.4948551e-002-3.0362940e+000
ASC1 SIGMA11.1959254e-0018.5427962e-001-3.3610041e+0001.1304071e-0018.4670427e-001-3.4431366e+000
SIGMA1 SIGMA23.9012395e-0019.3841184e-0013.7506411e+0003.6589747e-0019.3839849e-0013.8382273e+000
ASC2 SIGMA19.7186590e-0041.5004663e-002-3.9841976e+0005.3930234e-0048.6178593e-003-4.0862912e+000
BETA SIGMA2-1.0077558e-001-9.7110660e-001-4.1089912e+000-9.4412048e-002-9.7191684e-001-4.2573912e+000
ASC1 ASC22.6831662e-0031.3632473e-0014.6396510e+0002.6921075e-0031.4077397e-0014.7380428e+000
BETA SIGMA1-1.1242329e-001-9.7761040e-001-4.8294156e+000-1.0633591e-001-9.7698468e-001-4.9616867e+000
ASC1 BETA-3.1014719e-002-8.8753314e-0016.4492359e+000-2.9318118e-002-8.8146843e-0016.6183842e+000
ASC2 BETA2.2640897e-0041.4003425e-0027.0170442e+0002.6779021e-0041.7176536e-0027.1940203e+000

Smallest singular value of the hessian: 1.1473534e+000