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 16:17:45

Synthetic data results consraining sig1

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: -2944.87
Final log-likelihood: -2765.76
Likelihood ratio test: 3257.38
Rho-square: 0.370624
Adjusted rho-square: 0.369487
Final gradient norm: 8.72468e-009
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.2086540e+000+9.5114965e-002+1.2707296e+001+9.2764416e-002+1.3029285e+001
ASC2 +3.5128401e-001+8.5398423e-002+4.1134719e+000+8.2840657e-002+4.2404784e+000
ASC3 +0.0000000e+000 fixed
BETA -8.6910488e-001+3.1725977e-002-2.7394110e+001+3.0629912e-002-2.8374384e+001
SIGMA1 +2.5000000e+000 fixed
SIGMA2 +1.7084412e+000+2.0669670e-001+8.2654499e+000+1.9906503e-001+8.5823271e+000
SIGMA3 -1.0805461e-001+8.5705048e-001-1.2607730e-001 *+2.8381217e-001-3.8072579e-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+6.2500000e+000fixed
ASC2_SIGMA2+2.9187713e+000+7.0625830e-001+4.1327250e+000
ASC3_SIGMA3+1.1675799e-002+1.8521651e-001+6.3038650e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC2 SIGMA3-1.4558330e-002-1.9890939e-0015.2314399e-001*-1.6076342e-003-6.8377420e-0021.5258214e+000*
BETA SIGMA35.4016478e-0031.9865745e-001-8.9396929e-001*3.2880942e-0043.7824003e-002-2.6768700e+000
ASC1 SIGMA3-1.8012078e-002-2.2095741e-0011.4912551e+000*-1.3087189e-003-4.9708878e-0024.3464485e+000
SIGMA2 SIGMA36.3995178e-0033.6124955e-0022.0775764e+0001.1806987e-0032.0898404e-0025.2921776e+000
ASC1 SIGMA27.0527436e-0033.5873662e-001-2.5752342e+0007.1951952e-0033.8964239e-001-2.7168071e+000
ASC2 SIGMA2-5.9397080e-003-3.3649740e-001-5.4550590e+000-5.1654053e-003-3.1323184e-001-5.6934892e+000
ASC1 ASC22.3406346e-0032.8816081e-0017.9404911e+0001.9769491e-0032.5725898e-0017.9901847e+000
BETA SIGMA2-4.7227829e-003-7.2019391e-001-1.1177640e+001-4.5941739e-003-7.5347128e-001-1.1555665e+001
ASC2 BETA2.8179063e-0041.0400679e-0011.3875362e+0013.5376998e-0041.3942212e-0011.4490266e+001
ASC1 BETA-1.5007632e-003-4.9733417e-0011.8184779e+001-1.3397366e-003-4.7151145e-0011.8793514e+001

Smallest singular value of the hessian: 1.3597856e+000