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 15:32:10

Synthetic data results for W 1-5 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: -2837.21
Final log-likelihood: -2798.5
Likelihood ratio test: 3191.89
Rho-square: 0.363173
Adjusted rho-square: 0.362035
Final gradient norm: 1.19426e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +9.0994359e-001+5.5508876e-002+1.6392758e+001+5.5364010e-002+1.6435652e+001
ASC2 +2.8856844e-001+5.9769038e-002+4.8280590e+000+5.7129732e-002+5.0511078e+000
ASC3 +0.0000000e+000 fixed
BETA -5.3894678e-001+1.9605620e-002-2.7489403e+001+1.8733911e-002-2.8768514e+001
SIGMA1 +0.0000000e+000 fixed
SIGMA2 +7.1785381e-001+2.1976686e-001+3.2664334e+000+2.0774211e-001+3.4555045e+000
SIGMA3 -5.6620589e-003+2.0351181e-001-2.7821770e-002 *+3.6579424e-003-1.5478808e+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+0.0000000e+000fixed
ASC2_SIGMA2+5.1531410e-001+3.1552095e-001+1.6332167e+000
ASC3_SIGMA3+3.2058911e-005+2.3045917e-003+1.3910885e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA24.1248908e-0033.3813321e-0019.2495359e-001*4.1830904e-0033.6370156e-0019.8727507e-001*
ASC2 SIGMA31.3514026e-0041.1110123e-0021.3913650e+000*1.6774138e-0058.0267761e-0025.1662029e+000
ASC2 SIGMA2-4.7200378e-003-3.5934120e-001-1.7337275e+000*-4.1077128e-003-3.4610935e-001-1.8365661e+000*
SIGMA2 SIGMA3-5.0492982e-004-1.1289617e-0022.4020721e+000-2.3505511e-004-3.0932020e-0013.4634133e+000
BETA SIGMA35.2294629e-0051.3106505e-002-2.6116052e+0001.5589431e-0052.2749139e-001-2.9216757e+001
ASC1 SIGMA34.2430021e-0053.7559620e-0034.3446149e+000-2.5257441e-005-1.2471680e-0011.6368199e+001
BETA SIGMA2-3.1473844e-003-7.3047778e-001-5.3601551e+000-2.8198961e-003-7.2456961e-001-5.6691180e+000
ASC1 ASC21.2012542e-0033.6207305e-0019.5302658e+0009.8889977e-0043.1265296e-0019.4199878e+000
ASC2 BETA2.1042686e-0041.7957436e-0011.3916441e+0011.9046062e-0041.7795679e-0011.4551790e+001
ASC1 BETA-4.6939125e-004-4.3131243e-0012.1831936e+001-4.2481776e-004-4.0958749e-0012.2183848e+001

Smallest singular value of the hessian: 2.0252569e+001