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 21:01:44

Telephone 3-7

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: -471.148
Likelihood ratio test: 178.202
Rho-square: 0.159038
Adjusted rho-square: 0.142974
Final gradient norm: 7.29098e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -3.2926456e+000+5.3634311e-001-6.1390657e+000+4.5283310e-001-7.2712124e+000
ASC2 -2.5442212e+000+4.7819036e-001-5.3205197e+000+4.0964126e-001-6.2108521e+000
ASC3 -1.3638706e+000+4.2465943e-001-3.2116809e+000+3.8543362e-001-3.5385357e+000
ASC4 -1.0525089e+000+8.6449212e-001-1.2174881e+000 *+8.0367732e-001-1.3096163e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -2.6851851e+000+3.6400933e-001-7.3766929e+000+3.3554534e-001-8.0024509e+000
sigma1 -1.1333185e-001+2.2938402e+000-4.9407036e-002 *+1.3512479e+000-8.3871984e-002 *
sigma2 -2.9491481e-001+1.2487868e+000-2.3616107e-001 *+6.0985638e-001-4.8358077e-001 *
sigma3 -2.8711039e+000+9.2400634e-001-3.1072340e+000+8.2805553e-001-3.4672843e+000
sigma4 -1.7729384e-001+3.0858055e+000-5.7454640e-002 *+4.8811475e-001-3.6322165e-001 *
sigma5 +0.0000000e+000 fixed

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+1.2844107e-002+5.1993029e-001+2.4703518e-002
ASC2_sigma2+8.6974748e-002+7.3657143e-001+1.1808053e-001
ASC3_sigma3+8.2432378e+000+5.3058365e+000+1.5536170e+000
ASC4_sigma4+3.1433107e-002+1.0941886e+000+2.8727320e-002
ASC5_sigma5+0.0000000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
sigma1 sigma49.5488211e-0031.3490189e-0031.6645936e-002*-1.8217900e-002-2.7621123e-0024.4132057e-002*
sigma2 sigma4-2.2294281e-002-5.7854434e-003-3.5262273e-002*-3.8065100e-002-1.2787259e-001-1.4197905e-001*
sigma1 sigma21.4617132e-0015.1028257e-0027.1065281e-002*2.1089739e-0022.5592257e-0021.2367712e-001*
LCOST sigma31.6098860e-0014.7863852e-0012.2810614e-001*1.1704171e-0014.2124038e-0012.4752176e-001*
ASC4 sigma46.1112865e-0012.2908838e-001-2.9097498e-001*-5.7548311e-002-1.4669961e-001-8.7554349e-001*
ASC3 ASC48.1240904e-0022.2129568e-001-3.5594068e-001*5.6033777e-0021.8089168e-001-3.7692010e-001*
ASC3 sigma47.5360136e-0035.7508541e-003-3.8123336e-001*-5.1472874e-003-2.7359421e-002-1.8829579e+000*
ASC4 sigma15.7236070e-0022.8863275e-002-3.8683087e-001*4.8962776e-0024.5086786e-002-6.0956707e-001*
ASC2 sigma32.0508544e-0014.6415074e-0013.9867215e-001*1.3878294e-0014.0914093e-0014.3073716e-001*
ASC1 sigma32.1292965e-0014.2965362e-001-4.9831928e-001*1.3793875e-0013.6786516e-001-5.3759316e-001*
ASC4 sigma25.2566364e-0024.8692112e-002-5.1057464e-001*-1.0727703e-002-2.1887566e-002-7.4314030e-001*
ASC3 sigma11.3190509e-0011.3541214e-001-5.4954917e-001*-2.7138067e-002-5.2106785e-002-8.7798598e-001*
ASC2 LCOST1.5142823e-0018.6994842e-0015.8375063e-001*1.1342528e-0018.2519193e-0016.0917754e-001*
ASC2 sigma41.5454679e-0021.0473471e-002-7.5919419e-001*-2.2585241e-003-1.1295335e-002-3.6939122e+000
LCOST sigma42.3314855e-0022.0756382e-002-8.0907848e-001*9.5323855e-0035.8200734e-002-4.3539390e+000
sigma3 sigma42.4624269e-0038.6361435e-004-8.3647976e-001*-1.9218262e-003-4.7548050e-003-2.7966975e+000
ASC3 sigma21.0568265e-0011.9928501e-001-8.6464082e-001*2.4742405e-0021.0526033e-001-1.5575777e+000*
ASC1 sigma41.6505823e-0029.9730023e-003-9.9634023e-001*-3.9471943e-003-1.7857819e-002-4.6378703e+000
ASC2 sigma12.6324141e-0012.3998839e-001-1.0910742e+000*3.9122818e-0027.0679162e-002-1.7564343e+000*
sigma1 sigma31.1878224e-0015.6041972e-0021.1374867e+000*-1.3691858e-001-1.2236800e-0011.6524024e+000*
LCOST sigma12.2559039e-0012.7017485e-001-1.1567774e+000*4.7139512e-0021.0396779e-001-1.8938440e+000*
ASC1 sigma15.2094217e-0014.2343197e-001-1.4974984e+000*1.2551019e-0012.0511895e-001-2.3830577e+000
ASC4 sigma37.0616134e-0028.8403192e-0021.5051304e+000*3.4436690e-0025.1746410e-0021.6184003e+000*
ASC2 ASC41.0335845e-0012.5002539e-001-1.7007419e+000*7.7007885e-0022.3391054e-001-1.8366060e+000*
sigma2 sigma31.9281470e-0011.6710017e-0011.8091882e+000*2.1582355e-0024.2737765e-0022.5577931e+000
ASC4 LCOST6.5384821e-0022.0777982e-0011.8864097e+000*5.6100328e-0022.0803312e-0012.0308940e+000
ASC2 sigma22.8409557e-0014.7574624e-001-2.0364737e+0007.6103764e-0023.0463155e-001-3.6132645e+000
LCOST sigma21.6126410e-0013.5476182e-001-2.0425610e+0002.5400133e-0021.2412442e-001-3.6294823e+000
ASC3 sigma32.6504468e-0016.7546580e-0012.1230028e+0002.0297948e-0016.3597945e-0012.3031307e+000
ASC1 LCOST1.7028825e-0018.7222686e-001-2.1532190e+0001.2771829e-0018.4055031e-001-2.4354617e+000
ASC1 ASC41.1322285e-0012.4419139e-001-2.4912488e+0008.3351706e-0022.2903119e-001-2.7081119e+000
ASC1 sigma22.5186294e-0013.7603933e-001-2.5863597e+0006.8168284e-0022.4684062e-001-4.5159351e+000
ASC2 ASC31.5436387e-0017.6015832e-001-3.7274947e+0001.1582538e-0017.3358500e-001-4.0553910e+000
ASC1 ASC22.3838921e-0019.2948644e-001-3.7632771e+0001.7147894e-0019.2441919e-001-4.3278242e+000
ASC3 LCOST1.0100942e-0016.5344431e-0013.9691537e+0007.6040301e-0025.8795357e-0014.0008773e+000
ASC1 ASC31.6657205e-0017.3133884e-001-5.2522728e+0001.2108718e-0016.9376187e-001-5.7777149e+000

Smallest singular value of the hessian: 1.0454382e-001