BIOGEME Version 1.4 [Sat Dec 17 12:19:10 GMT 2005]

Author: Michel Bierlaire, EPFL (2001-2005)

This file has automatically been generated.

07/30/06 17:11:55

constraining sig3

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: -2823.35
Final log-likelihood: -2765.13
Likelihood ratio test: 3258.64
Rho-square: 0.370767
Adjusted rho-square: 0.36963
Final gradient norm: 4.00308e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.4250654e+000+2.1643137e-001+6.5843755e+000+2.1453370e-001+6.6426181e+000
ASC2 +3.7827691e-001+1.0028835e-001+3.7718930e+000+9.9469313e-002+3.8029509e+000
ASC3 +0.0000000e+000 fixed
BETA -1.0549254e+000+1.7841006e-001-5.9129255e+000+1.7579950e-001-6.0007302e+000
SIGMA1 +3.2498131e+000+7.0847477e-001+4.5870555e+000+6.9858953e-001+4.6519636e+000
SIGMA2 +2.3293811e+000+6.3964995e-001+3.6416498e+000+6.2596902e-001+3.7212402e+000
SIGMA3 +5.0000000e-001 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+1.0561285e+001+4.6048211e+000+2.2935277e+000
ASC2_SIGMA2+5.4260163e+000+2.9799770e+000+1.8208249e+000
ASC3_SIGMA3+2.5000000e-001fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA21.2049449e-0018.7037140e-001-1.9502718e+000*1.1686372e-0018.7022458e-001-2.0015289e+000
ASC2 SIGMA2-7.2692836e-003-1.1331796e-001-2.9625216e+000-6.8382771e-003-1.0982589e-001-3.0272137e+000
ASC1 SIGMA11.3088307e-0018.5356944e-001-3.4060584e+0001.2737316e-0018.4988533e-001-3.4527322e+000
SIGMA1 SIGMA24.2520838e-0019.3828561e-0013.7367863e+0004.1088873e-0019.3961366e-0013.8190198e+000
ASC2 SIGMA18.4371817e-0061.1874697e-004-4.0131824e+000-4.8366368e-004-6.9603692e-003-4.0654854e+000
BETA SIGMA2-1.1085132e-001-9.7135766e-001-4.1573459e+000-1.0705157e-001-9.7279778e-001-4.2408463e+000
ASC1 ASC22.6776480e-0031.2336240e-0014.6106876e+0002.6587204e-0031.2459139e-0014.6534777e+000
BETA SIGMA1-1.2355925e-001-9.7753324e-001-4.8713932e+000-1.2004131e-001-9.7744204e-001-4.9410752e+000
ASC1 BETA-3.4256149e-002-8.8715397e-0016.4642526e+000-3.3347570e-002-8.8420107e-0016.5438687e+000
ASC2 BETA5.3104611e-0042.9679900e-0027.0931655e+0005.8700325e-0043.3568640e-0027.1997854e+000

Smallest singular value of the hessian: 1.0516747e+000