BIOGEME Version 1.4 [Sat Dec 17 12:19:10 GMT 2005]

Author: Michel Bierlaire, EPFL (2001-2005)

This file has automatically been generated.

08/03/06 20:52:12

Telephone 3-6

Model: Mixed Multinomial Logit
Number of draws: 2000
Number of estimated parameters: 9
Number of observations: 434
Number of individuals: 434
Null log-likelihood: -560.25
Init log-likelihood: -477.781
Final log-likelihood: -471.137
Likelihood ratio test: 178.226
Rho-square: 0.159059
Adjusted rho-square: 0.142995
Final gradient norm: 1.71724e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -3.2986046e+000+5.8282861e-001-5.6596476e+000+5.2235058e-001-6.3149246e+000
ASC2 -2.5501922e+000+5.1158824e-001-4.9848531e+000+4.5408823e-001-5.6160721e+000
ASC3 -1.3685926e+000+4.4187543e-001-3.0972363e+000+4.1489055e-001-3.2986835e+000
ASC4 -1.0446927e+000+8.4210964e-001-1.2405661e+000 *+8.0753906e-001-1.2936745e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -2.7027745e+000+4.7749540e-001-5.6603153e+000+3.9956015e-001-6.7643745e+000
sigma1 +5.1233810e-002+4.0406381e+000+1.2679633e-002 *+3.0687657e+000+1.6695250e-002 *
sigma2 -2.8798703e-001+1.3043469e+000-2.2079021e-001 *+6.9142860e-001-4.1651015e-001 *
sigma3 -2.9082898e+000+1.0756556e+000-2.7037369e+000+9.7651222e-001-2.9782421e+000
sigma4 +0.0000000e+000 fixed
sigma5 +2.6509598e-001+1.7640507e+000+1.5027685e-001 *+1.1204956e+000+2.3658816e-001 *

Scale parameters

Name Value Std err t-test 1Robust Std err Robust t-test 1
Scale1 +1.0000000e+000 fixed

Utility functions

1Alt1av1ASC1 [ sigma1 ] * one + LCOST * lcost1
2Alt2av2ASC2 [ sigma2 ] * one + LCOST * lcost2
3Alt3av3ASC3 [ sigma3 ] * one + LCOST * lcost3
4Alt4av4ASC4 [ sigma4 ] * one + LCOST * lcost4
5Alt5av5ASC5 [ sigma5 ] * one + LCOST * lcost5

Variance of random coefficients

NameValueStd errt-testRobust Std errRobust t-test
ASC1_sigma1+2.6249032e-003+4.1403457e-001+6.3398166e-003
ASC2_sigma2+8.2936531e-002+7.5127000e-001+1.1039511e-001
ASC3_sigma3+8.4581496e+000+6.2566366e+000+1.3518685e+000
ASC4_sigma4+0.0000000e+000fixed
ASC5_sigma5+7.0275880e-002+9.3528551e-001+7.5138425e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
sigma1 sigma53.6224945e+0005.0821411e-001-6.1244522e-002*2.4047768e+0006.9936018e-001-8.8320937e-002*
sigma1 sigma2-1.1658126e+000-2.2120028e-0017.5179047e-002*-8.6639737e-001-4.0832508e-0019.9477862e-002*
LCOST sigma33.3078537e-0016.4402666e-0012.4162122e-001*2.3745059e-0016.0857401e-0012.5723132e-001*
sigma2 sigma5-1.4477049e-001-6.2918140e-002-2.4484359e-001*-6.3215753e-002-8.1595805e-002-4.0553847e-001*
ASC4 sigma1-2.0541485e-001-6.0368897e-002-2.6237615e-001*6.4508699e-0032.6031009e-003-3.4558678e-001*
ASC3 sigma1-3.9936520e-001-2.2367653e-001-3.4115522e-001*-3.5035398e-001-2.7517550e-001-4.4261291e-001*
ASC3 ASC48.5018894e-0022.2847935e-001-3.7796787e-001*5.8398590e-0021.7430317e-001-3.8508888e-001*
ASC2 sigma33.0542027e-0015.5501414e-0013.9839881e-001*2.3545106e-0015.3098557e-0014.3145225e-001*
ASC1 sigma33.5324254e-0015.6345454e-001-4.3907196e-001*2.7562619e-0015.4035692e-001-4.7501482e-001*
ASC4 sigma27.2030751e-0026.5577700e-002-5.0264103e-001*-5.1032662e-003-9.1398137e-003-7.0859568e-001*
ASC2 LCOST2.0595654e-0018.4311310e-0015.4699427e-001*1.5597556e-0018.5967468e-0016.5725921e-001*
ASC2 sigma1-7.4422573e-001-3.6002626e-001-6.1185588e-001*-5.5227784e-001-3.9632698e-001-7.9423785e-001*
LCOST sigma1-9.2261306e-001-4.7818996e-001-6.4203177e-001*-6.0618161e-001-4.9437540e-001-8.3843214e-001*
sigma1 sigma3-1.3465084e+000-3.0980317e-0016.5886370e-001*-1.1414216e+000-3.8089446e-0018.3197891e-001*
ASC4 sigma5-1.4683641e-002-9.8844848e-003-6.6749625e-001*-7.7643338e-003-8.5808542e-003-9.4448207e-001*
ASC1 sigma1-1.1832782e+000-5.0245370e-001-7.6783907e-001*-7.9538789e-001-4.9619588e-001-9.9735791e-001*
ASC3 sigma21.2897546e-0012.2377632e-001-8.4416542e-001*4.7966230e-0021.6720710e-001-1.4514580e+000*
ASC3 sigma5-1.9284575e-001-2.4739970e-001-8.5013948e-001*-1.7114052e-001-3.6813674e-001-1.2279814e+000*
sigma3 sigma5-9.4638432e-001-4.9875036e-001-1.2784194e+000*-5.9874264e-001-5.4720790e-001-1.7193493e+000*
ASC2 sigma5-3.1371636e-001-3.4762064e-001-1.4074629e+000*-1.8969661e-001-3.7282858e-001-2.0748381e+000
LCOST sigma5-5.5155628e-001-6.5480137e-001-1.4080151e+000*-2.2938520e-001-5.1235749e-001-2.1680454e+000
ASC4 sigma38.0406410e-0028.8766435e-0021.4270612e+000*4.1526011e-0025.2659774e-0021.5102642e+000*
ASC1 sigma5-4.4454178e-001-4.3237508e-001-1.7105034e+000*-2.6099296e-001-4.4591961e-001-2.4887862e+000
sigma2 sigma32.6004282e-0011.8534398e-0011.7135790e+000*7.8370668e-0021.1607228e-0012.3206626e+000
ASC2 ASC41.0929451e-0012.5369339e-001-1.7357622e+000*7.8748105e-0022.1475156e-001-1.7983640e+000*
ASC3 sigma33.2932623e-0016.9287232e-0011.8487125e+000*2.7974074e-0016.9046949e-0012.0461588e+000
ASC4 LCOST6.9693365e-0021.7332196e-0011.8563882e+000*5.6571591e-0021.7532857e-0011.9837368e+000
LCOST sigma22.0773306e-0013.3353646e-001-1.9626214e+0006.0392968e-0022.1860337e-001-3.3586177e+000
ASC2 sigma23.2842495e-0014.9217832e-001-1.9793757e+0001.1774646e-0013.7502504e-001-3.3768894e+000
ASC1 LCOST2.4384519e-0018.7620180e-001-2.1065687e+0001.8494802e-0018.8614633e-001-2.3813703e+000
ASC1 ASC41.2151492e-0012.4758259e-001-2.5108522e+0008.2658851e-0021.9595833e-001-2.5860067e+000
ASC1 sigma23.1977791e-0014.2064378e-001-2.5431157e+0001.2945345e-0013.5842988e-001-4.2920586e+000
ASC3 LCOST1.3486401e-0016.3918568e-0013.4050355e+0001.1257790e-0016.7910579e-0014.0858470e+000
ASC2 ASC31.7536836e-0017.7576617e-001-3.6251579e+0001.4583755e-0017.7409732e-001-4.0139600e+000
ASC1 ASC22.8116129e-0019.4296184e-001-3.7854104e+0002.2343343e-0019.4198899e-001-4.1720743e+000
ASC1 ASC31.9353419e-0017.5147925e-001-5.0189523e+0001.6297732e-0017.5202373e-001-5.5941281e+000

Smallest singular value of the hessian: 5.6436828e-002