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 17:58:24

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: -3013.69
Final log-likelihood: -2764.41
Likelihood ratio test: 3260.07
Rho-square: 0.37093
Adjusted rho-square: 0.369793
Final gradient norm: 5.37897e-008
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +2.8107419e+000+4.4276849e-001+6.3481073e+000+4.5966586e-001+6.1147501e+000
ASC2 +7.7305981e-001+1.9434681e-001+3.9777336e+000+1.9125203e-001+4.0420999e+000
ASC3 +0.0000000e+000 fixed
BETA -2.0554363e+000+3.7488039e-001-5.4829122e+000+3.9011705e-001-5.2687681e+000
SIGMA1 +6.6740691e+000+1.3992223e+000+4.7698418e+000+1.4477494e+000+4.6099615e+000
SIGMA2 +5.0141482e+000+1.2065922e+000+4.1556278e+000+1.2501286e+000+4.0109058e+000
SIGMA3 +2.5000000e+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+4.4543198e+001+1.8677013e+001+2.3849209e+000
ASC2_SIGMA2+2.5141682e+001+1.2100064e+001+2.0778139e+000
ASC3_SIGMA3+6.2500000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA24.7262960e-0018.8467487e-001-2.6211541e+0005.1453018e-0018.9539343e-001-2.5527056e+000
ASC2 SIGMA2-2.4502315e-002-1.0448867e-001-3.4146407e+000-1.9549232e-002-8.1765284e-002-3.3132518e+000
SIGMA1 SIGMA21.5997094e+0009.4753194e-0013.5859786e+0001.7271662e+0009.5430244e-0013.6709225e+000
ASC1 SIGMA15.3810688e-0018.6857059e-001-3.7215338e+0005.8433571e-0018.7806523e-001-3.6205618e+000
ASC2 SIGMA1-1.2477314e-004-4.5883547e-004-4.1769865e+0001.6237659e-0035.8644052e-003-4.0439617e+000
ASC1 ASC21.0122511e-0021.1763435e-0014.4092702e+0001.0923658e-0021.2425669e-0014.2860810e+000
BETA SIGMA2-4.4163677e-001-9.7636453e-001-4.4894860e+000-4.7799757e-001-9.8011281e-001-4.3256989e+000
BETA SIGMA1-5.1432370e-001-9.8052144e-001-4.9365699e+000-5.5485962e-001-9.8241457e-001-4.7638324e+000
ASC1 BETA-1.4908083e-001-8.9815725e-0016.1078697e+000-1.6235108e-001-9.0535313e-0015.8659051e+000
ASC2 BETA2.1587937e-0032.9630639e-0026.7810264e+0001.4301651e-0031.9168371e-0026.5600351e+000

Smallest singular value of the hessian: 2.7617723e-001