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 12:07:34

Synthetic data results for W 1-3 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: -2847.32
Final log-likelihood: -2764.87
Likelihood ratio test: 3259.16
Rho-square: 0.370827
Adjusted rho-square: 0.369689
Final gradient norm: 3.10715e-008
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.6430982e+000+2.4899335e-001+6.5989641e+000+2.5226724e-001+6.5133236e+000
ASC2 +4.4682800e-001+1.1480472e-001+3.8920698e+000+1.1369794e-001+3.9299570e+000
ASC3 +0.0000000e+000 fixed
BETA -1.2070458e+000+2.0702292e-001-5.8304936e+000+2.0911061e-001-5.7722841e+000
SIGMA1 +3.7792239e+000+8.0577507e-001+4.6901723e+000+8.1246944e-001+4.6515275e+000
SIGMA2 +2.7474439e+000+7.2171955e-001+3.8068026e+000+7.2537731e-001+3.7876066e+000
SIGMA3 +1.0000000e+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+1.4282534e+001+6.0904089e+000+2.3450862e+000
ASC2_SIGMA2+7.5484480e+000+3.9657680e+000+1.9034013e+000
ASC3_SIGMA3+1.0000000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA21.5678075e-0018.7244189e-001-2.1280143e+0001.6069275e-0018.7815559e-001-2.1315385e+000
ASC2 SIGMA2-1.0940083e-002-1.3203601e-001-3.0855344e+000-1.0408930e-002-1.2620877e-001-3.0745543e+000
ASC1 SIGMA11.7151402e-0018.5486602e-001-3.5201365e+0001.7583662e-0018.5790941e-001-3.5019767e+000
SIGMA1 SIGMA25.4641591e-0019.3959573e-0013.7105564e+0005.5606477e-0019.4352710e-0013.7890784e+000
ASC2 SIGMA1-1.8567691e-003-2.0071707e-002-4.0828648e+000-2.4943351e-003-2.7001953e-002-4.0470125e+000
BETA SIGMA2-1.4528836e-001-9.7239770e-001-4.2784022e+000-1.4788999e-001-9.7498683e-001-4.2502247e+000
ASC1 ASC22.9976504e-0031.0486570e-0014.5481116e+0002.9315278e-0031.0220698e-0014.4989439e+000
BETA SIGMA1-1.6313609e-001-9.7795254e-001-4.9410096e+000-1.6630174e-001-9.7884449e-001-4.8978361e+000
ASC1 BETA-4.5780156e-002-8.8811885e-0016.4309899e+000-4.6977549e-002-8.9054000e-0016.3521705e+000
ASC2 BETA1.2058736e-0035.0736861e-0027.1418572e+0001.2840469e-0035.4007274e-0027.1114547e+000

Smallest singular value of the hessian: 8.1590645e-001