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 13:06:55

Synthetic data results for W 1-8 1000h (s8_1000h.mod)

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: -2970.8
Final log-likelihood: -2765.27
Likelihood ratio test: 3258.35
Rho-square: 0.370735
Adjusted rho-square: 0.369597
Final gradient norm: 3.18944e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.2980553e+000+1.2230193e-001+1.0613531e+001+1.1706200e-001+1.1088614e+001
ASC2 +3.6697186e-001+1.0764592e-001+3.4090642e+000+1.0369900e-001+3.5388177e+000
ASC3 +0.0000000e+000 fixed
BETA -9.4352389e-001+3.8599084e-002-2.4444204e+001+3.6750729e-002-2.5673610e+001
SIGMA1 +2.8000000e+000 fixed
SIGMA2 +1.9504091e+000+2.1334052e-001+9.1422349e+000+2.0556055e-001+9.4882464e+000
SIGMA3 -4.0915372e-001+7.2334727e-001-5.6563941e-001 *+6.3247442e-001-6.4690952e-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+7.8399997e+000fixed
ASC2_SIGMA2+3.8040958e+000+8.3220260e-001+4.5711174e+000
ASC3_SIGMA3+1.6740677e-001+5.9192045e-001+2.8281970e-001

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
BETA SIGMA31.3680540e-0024.8998119e-001-7.5771650e-001*1.0007740e-0024.3055347e-001-8.6531691e-001*
ASC2 SIGMA3-4.2267792e-002-5.4283162e-0019.8619399e-001*-3.3238188e-002-5.0678039e-0011.1234592e+000*
ASC1 SIGMA3-5.0265631e-002-5.6818660e-0012.1361481e+000-3.7739431e-002-5.0972558e-0012.4408478e+000
ASC1 SIGMA26.4434625e-0032.4695206e-001-2.9905295e+0006.7729918e-0032.8146528e-001-3.1676369e+000
SIGMA2 SIGMA31.6824710e-0021.0902532e-0013.2256385e+0001.3769787e-0021.0591183e-0013.6639022e+000
ASC2 SIGMA2-7.7862848e-003-3.3904657e-001-5.8736784e+000-6.8143303e-003-3.1967512e-001-6.1339781e+000
ASC1 ASC26.3215321e-0034.8016606e-0017.8966818e+0005.4045629e-0034.4521527e-0017.9699609e+000
ASC2 BETA-6.5180575e-004-1.5687134e-0011.0927955e+001-4.2161563e-004-1.1063083e-0011.1517163e+001
BETA SIGMA2-4.8576161e-003-5.8989245e-001-1.2151309e+001-4.7660861e-003-6.3089365e-001-1.2554117e+001
ASC1 BETA-2.9190764e-003-6.1835112e-0011.5015505e+001-2.5233419e-003-5.8653533e-0011.5810561e+001

Smallest singular value of the hessian: 1.8775380e+000