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 16:46:45

Synthetic data results for W 1-10 1000h (s10_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: -3070.4
Final log-likelihood: -2764.77
Likelihood ratio test: 3259.35
Rho-square: 0.370849
Adjusted rho-square: 0.369711
Final gradient norm: 1.13838e-008
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.7575356e+000+1.7575377e-001+9.9999878e+000+1.7401650e-001+1.0099821e+001
ASC2 +4.9493191e-001+1.5424309e-001+3.2087785e+000+1.5293467e-001+3.2362309e+000
ASC3 +0.0000000e+000 fixed
BETA -1.2772365e+000+5.4251504e-002-2.3542877e+001+5.3420697e-002-2.3909020e+001
SIGMA1 +4.0000000e+000 fixed
SIGMA2 +2.9133721e+000+2.6464714e-001+1.1008515e+001+2.5808774e-001+1.1288301e+001
SIGMA3 +1.2623870e+000+4.7299368e-001+2.6689300e+000+4.6654197e-001+2.7058381e+000

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+1.6000000e+001fixed
ASC2_SIGMA2+8.4877369e+000+1.5420311e+000+5.5042577e+000
ASC3_SIGMA3+1.5936210e+000+1.1942022e+000+1.3344650e+000

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA35.2194079e-0026.2785772e-0011.2775134e+000*4.9932451e-0026.1503770e-0011.2867372e+000*
ASC2 SIGMA34.4756022e-0026.1346589e-001-1.9307312e+000*4.3999382e-0026.1666586e-001-1.9617062e+000
SIGMA2 SIGMA3-1.6061188e-002-1.2830841e-0012.8920910e+000-1.5401211e-002-1.2790772e-0012.9412875e+000
ASC1 SIGMA21.0268716e-0022.2077214e-001-4.0765730e+0001.0737325e-0022.3907727e-001-4.2088514e+000
BETA SIGMA3-1.3648070e-002-5.3186834e-001-5.0394674e+000-1.3029605e-002-5.2279448e-001-5.1144078e+000
ASC2 SIGMA2-1.3925873e-002-3.4115326e-001-6.9330502e+000-1.2643209e-002-3.2031995e-001-7.1227793e+000
ASC1 ASC21.4402806e-0025.3129622e-0017.8492708e+0001.4100993e-0025.2985045e-0017.9115769e+000
ASC2 BETA-1.8554526e-003-2.2173404e-0011.0156558e+001-1.8410319e-003-2.2534390e-0011.0244459e+001
BETA SIGMA2-8.0955742e-003-5.6385661e-001-1.4033360e+001-7.9782998e-003-5.7867328e-001-1.4338318e+001
ASC1 BETA-6.1985653e-003-6.5009188e-0011.4114495e+001-6.0034626e-003-6.4580564e-0011.4283465e+001

Smallest singular value of the hessian: 4.0159228e+000