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 15:15:08

Synthetic data results for W 1-4 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: -2948.36
Final log-likelihood: -2764.51
Likelihood ratio test: 3259.87
Rho-square: 0.370908
Adjusted rho-square: 0.36977
Final gradient norm: 8.35691e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +2.3699725e+000+3.7021230e-001+6.4016579e+000+3.8541152e-001+6.1492000e+000
ASC2 +6.5261207e-001+1.6413744e-001+3.9760099e+000+1.6178980e-001+4.0337035e+000
ASC3 +0.0000000e+000 fixed
BETA -1.7324699e+000+3.1248381e-001-5.5441910e+000+3.2595708e-001-5.3150247e+000
SIGMA1 +5.5817190e+000+1.1761306e+000+4.7458328e+000+1.2203143e+000+4.5740010e+000
SIGMA2 +4.1627140e+000+1.0256460e+000+4.0586266e+000+1.0655677e+000+3.9065694e+000
SIGMA3 +2.0000000e+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+3.1155587e+001+1.3129661e+001+2.3729164e+000
ASC2_SIGMA2+1.7328188e+001+8.5389418e+000+2.0293133e+000
ASC3_SIGMA3+4.0000000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA23.3508933e-0018.8249503e-001-2.4888911e+0003.6717449e-0018.9406022e-001-2.4181511e+000
ASC2 SIGMA2-2.0162306e-002-1.1976642e-001-3.3178970e+000-1.7756178e-002-1.0299528e-001-3.2081184e+000
SIGMA1 SIGMA21.1410199e+0009.4588908e-0013.6254723e+0001.2390398e+0009.5286745e-0013.7070842e+000
ASC1 SIGMA13.7697966e-0018.6578795e-001-3.6687567e+0004.1202893e-0018.7605485e-001-3.5605911e+000
ASC2 SIGMA1-2.7592944e-003-1.4293378e-002-4.1426292e+000-2.7336050e-003-1.3845636e-002-3.9969685e+000
ASC1 ASC26.4402844e-0031.0598553e-0014.4177773e+0006.6460865e-0031.0658355e-0014.2743982e+000
BETA SIGMA2-3.1269081e-001-9.7564115e-001-4.4248744e+000-3.4020790e-001-9.7949662e-001-4.2521597e+000
BETA SIGMA1-3.6017987e-001-9.8002326e-001-4.9297812e+000-3.9062158e-001-9.8202851e-001-4.7444165e+000
ASC1 BETA-1.0367673e-001-8.9619586e-0016.1702603e+000-1.1358169e-001-9.0411408e-0015.9093532e+000
ASC2 BETA2.2574057e-0034.4012339e-0026.8830620e+0002.0684476e-0033.9222293e-0026.6590440e+000

Smallest singular value of the hessian: 3.8826488e-001