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 17:34:26

constraining sig3

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: -2890.48
Final log-likelihood: -2764.66
Likelihood ratio test: 3259.58
Rho-square: 0.370875
Adjusted rho-square: 0.369737
Final gradient norm: 1.3455e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.9716772e+000+3.0314037e-001+6.5041722e+000+3.1288966e-001+6.3015095e+000
ASC2 +5.4181572e-001+1.3701524e-001+3.9544193e+000+1.3537627e-001+4.0022945e+000
ASC3 +0.0000000e+000 fixed
BETA -1.4427723e+000+2.5428861e-001-5.6737591e+000+2.6244430e-001-5.4974420e+000
SIGMA1 +4.5929257e+000+9.7033986e-001+4.7333165e+000+9.9741176e-001+4.6048441e+000
SIGMA2 +3.3885292e+000+8.5759234e-001+3.9512121e+000+8.8159237e-001+3.8436463e+000
SIGMA3 +1.5000000e+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+2.1094966e+001+8.9133977e+000+2.3666583e+000
ASC2_SIGMA2+1.1482130e+001+5.8119535e+000+1.9756061e+000
ASC3_SIGMA3+2.2500000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA22.2821895e-0018.7786358e-001-2.3263974e+0002.4490918e-0018.8786313e-001-2.2826142e+000
ASC2 SIGMA2-1.5544307e-002-1.3228834e-001-3.2123190e+000-1.4560056e-002-1.2199799e-001-3.1347897e+000
ASC1 SIGMA12.5311385e-0018.6049482e-001-3.6100221e+0002.7110209e-0018.6869470e-001-3.5328019e+000
SIGMA1 SIGMA27.8466164e-0019.4292610e-0013.6699491e+0008.3444046e-0019.4897123e-0013.7499508e+000
ASC2 SIGMA1-3.1702990e-003-2.3845557e-002-4.1203508e+000-3.8586431e-003-2.8577062e-002-4.0094787e+000
BETA SIGMA2-2.1244943e-001-9.7419921e-001-4.3650725e+000-2.2620400e-001-9.7767683e-001-4.2397946e+000
ASC1 ASC24.1233285e-0039.9273943e-0024.4678676e+0004.0639387e-0039.5943017e-0024.3489411e+000
BETA SIGMA1-2.4157792e-001-9.7905360e-001-4.9456689e+000-2.5672025e-001-9.8072785e-001-4.8060835e+000
ASC1 BETA-6.8783652e-002-8.9230751e-0016.2958649e+000-7.3800292e-002-8.9873100e-0016.0896866e+000
ASC2 BETA1.8903475e-0035.4255761e-0027.0317490e+0001.9476079e-0035.4817828e-0026.8758380e+000

Smallest singular value of the hessian: 5.6630719e-001