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 12:47:26

Synthetic data results for W 1-1 1000h

Model: Mixed Multinomial Logit
Number of Halton draws: 1000
Number of estimated parameters: 6
Number of observations: 4000
Number of individuals: 4000
Null log-likelihood: -4394.45
Init log-likelihood: -2847.32
Final log-likelihood: -2764.16
Likelihood ratio test: 3260.59
Rho-square: 0.370989
Adjusted rho-square: 0.369624
Final gradient norm: 6.41319e-007
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +8.6025771e+000+1.4865260e+001+5.7870343e-001 *+1.4851344e+001+5.7924568e-001 *
ASC2 +2.3443281e+000+4.1343944e+000+5.6703058e-001 *+4.2076163e+000+5.5716299e-001 *
ASC3 +0.0000000e+000 fixed
BETA -6.3386186e+000+1.1018096e+001-5.7529167e-001 *+1.1045473e+001-5.7386576e-001 *
SIGMA1 +2.0864678e+001+3.6319445e+001+5.7447679e-001 *+3.6221192e+001+5.7603511e-001 *
SIGMA2 +1.6077813e+001+2.8376771e+001+5.6658360e-001 *+2.8559356e+001+5.6296132e-001 *
SIGMA3 +8.1403848e+000+1.3741332e+001+5.9240141e-001 *+1.3300638e+001+6.1202963e-001 *

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+4.3533480e+002+1.5155871e+003+2.8723839e-001
ASC2_SIGMA2+2.5849607e+002+9.1247283e+002+2.8329180e-001
ASC3_SIGMA3+6.6265865e+001+2.2371947e+002+2.9620071e-001

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA32.0355211e+0029.9649297e-0012.8149160e-001*1.9705190e+0029.9756767e-0012.5193599e-001*
SIGMA2 SIGMA33.8760736e+0029.9403160e-0015.3654470e-001*3.7846355e+0029.9632990e-0015.1710265e-001*
ASC1 SIGMA24.2115209e+0029.9839746e-001-5.5121216e-001*4.2356951e+0029.9864356e-001-5.4365676e-001*
SIGMA1 SIGMA34.9630332e+0029.9444123e-0015.6052541e-001*4.7982650e+0029.9597631e-0015.5311060e-001*
ASC2 SIGMA21.1529291e+0029.8271530e-001-5.6456267e-001*1.1835480e+0029.8492082e-001-5.6224777e-001*
BETA SIGMA2-3.1252017e+002-9.9955925e-001-5.6906963e-001*-3.1533589e+002-9.9963321e-001-5.6604424e-001*
ASC1 SIGMA15.3907040e+0029.9846709e-001-5.7052330e-001*5.3718156e+0029.9860237e-001-5.7286153e-001*
ASC2 SIGMA11.4791041e+0029.8502586e-001-5.7418831e-001*1.5039860e+0029.8683586e-001-5.7738634e-001*
ASC2 BETA-4.4899657e+001-9.8565421e-0015.7467562e-001*-4.5882172e+001-9.8724180e-0015.7071460e-001*
BETA SIGMA1-4.0004527e+002-9.9968551e-001-5.7469873e-001*-3.9995525e+002-9.9968772e-001-5.7556036e-001*
ASC1 BETA-1.6362906e+002-9.9903657e-0015.7738711e-001*-1.6389341e+002-9.9910567e-0015.7707730e-001*
ASC1 ASC26.0732849e+0019.8818721e-0015.7955823e-001*6.1825683e+0019.8938887e-0015.8456380e-001*
BETA SIGMA3-1.5075036e+002-9.9568735e-001-5.8541134e-001*-1.4651848e+002-9.9732248e-001-5.9511032e-001*
SIGMA1 SIGMA21.0298737e+0039.9926756e-0015.9559213e-001*1.0337812e+0039.9934964e-0016.1772817e-001*
ASC2 SIGMA35.6208933e+0019.8938332e-001-5.9941529e-001*5.5468671e+0019.9114946e-001-6.3363362e-001*

Smallest singular value of the hessian: 3.7465182e-004