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 20:19:22

Telephone 3-3

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: -471.135
Likelihood ratio test: 178.229
Rho-square: 0.159062
Adjusted rho-square: 0.142998
Final gradient norm: 2.90957e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -3.2966229e+000+5.0207437e-001-6.5660052e+000+4.5391763e-001-7.2626016e+000
ASC2 -2.5489297e+000+4.7528368e-001-5.3629648e+000+4.1764586e-001-6.1030885e+000
ASC3 -1.3679949e+000+4.2983330e-001-3.1826174e+000+3.9989030e-001-3.4209256e+000
ASC4 -1.0510796e+000+8.7002759e-001-1.2080992e+000 *+8.0561599e-001-1.3046906e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -2.7012857e+000+4.1598624e-001-6.4936900e+000+3.4672016e-001-7.7909681e+000
sigma1 +0.0000000e+000 fixed
sigma2 -2.8425653e-001+1.2736821e+000-2.2317699e-001 *+6.3062430e-001-4.5075416e-001 *
sigma3 -2.9058072e+000+1.0176084e+000-2.8555260e+000+9.0575027e-001-3.2081770e+000
sigma4 -1.9021091e-001+3.1244164e+000-6.0878860e-002 *+5.2563070e-001-3.6187177e-001 *
sigma5 +2.5758726e-001+1.5264612e+000+1.6874799e-001 *+7.9443991e-001+3.2423757e-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+0.0000000e+000fixed
ASC2_sigma2+8.0801773e-002+7.2410488e-001+1.1158849e-001
ASC3_sigma3+8.4437154e+000+5.9139475e+000+1.4277630e+000
ASC4_sigma4+3.6180190e-002+1.1885962e+000+3.0439430e-002
ASC5_sigma5+6.6351198e-002+7.8639392e-001+8.4373997e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
sigma2 sigma4-4.2041039e-002-1.0564367e-002-2.7770810e-002*-5.5702037e-002-1.6804270e-001-1.0612043e-001*
sigma4 sigma5-2.2618483e-001-4.7425160e-002-1.2643195e-001*-1.9479587e-002-4.6648530e-002-4.6030869e-001*
LCOST sigma32.4950838e-0015.8942084e-0012.4279853e-001*1.6370208e-0015.2127468e-0012.6118001e-001*
sigma2 sigma51.1823606e-0016.0813941e-002-2.8108871e-001*1.4862912e-0012.9666899e-001-6.3350212e-001*
ASC4 sigma46.6262300e-0012.4376120e-001-2.8391755e-001*-5.5592387e-002-1.3128241e-001-8.4557956e-001*
ASC3 ASC48.0791593e-0022.1603946e-001-3.5880798e-001*5.6771026e-0021.7622106e-001-3.8004045e-001*
ASC3 sigma41.8051777e-0021.3441601e-002-3.7412352e-001*1.4801614e-0037.0418615e-003-1.7893760e+000*
ASC2 sigma32.4075699e-0014.9778905e-0014.0410823e-001*1.7116089e-0014.5246802e-0014.4180674e-001*
ASC1 sigma32.5211824e-0014.9346407e-001-4.4155909e-001*1.8126811e-0014.4089573e-001-4.7964999e-001*
ASC4 sigma25.2852818e-0024.7695135e-002-5.0856552e-001*-1.1231140e-002-2.2106759e-002-7.4160482e-001*
ASC2 LCOST1.6201760e-0018.1946484e-0015.5668223e-001*1.2057742e-0018.3268113e-0016.5876593e-001*
ASC2 sigma43.0334064e-0022.0427197e-002-7.4862216e-001*1.2083001e-0035.5040948e-003-3.5228344e+000
ASC4 sigma51.5620279e-0021.1761697e-002-7.4863009e-001*-5.3310474e-003-8.3295859e-003-1.1518536e+000*
LCOST sigma45.8096236e-0024.4699238e-002-8.0136390e-001*1.2556460e-0026.8898125e-002-4.1204513e+000
sigma3 sigma46.5005472e-0022.0445622e-002-8.3144592e-001*1.7880663e-0023.7557306e-002-2.6364890e+000
ASC3 sigma29.8910951e-0021.8066885e-001-8.5431759e-001*1.7633610e-0026.9924546e-002-1.4995161e+000*
ASC1 sigma43.4223169e-0022.1816409e-002-9.8501612e-001*3.9450326e-0041.6534567e-003-4.4765449e+000
ASC3 sigma5-1.0220391e-001-1.5576923e-001-9.8579023e-001*-8.3220196e-002-2.6195507e-001-1.6612783e+000*
ASC4 sigma36.7026971e-0027.5706976e-0021.4402330e+000*3.7577505e-0025.1498123e-0021.5707623e+000*
sigma3 sigma5-6.3567905e-001-4.0923377e-001-1.4690490e+000*-3.0721944e-001-4.2695212e-001-2.2008614e+000
LCOST sigma5-3.4053730e-001-5.3629031e-001-1.6581582e+000*-7.2186383e-002-2.6206869e-001-3.1263644e+000
ASC2 sigma5-1.4544091e-001-2.0046932e-001-1.6633537e+000*-5.0677343e-002-1.5273712e-001-2.9470246e+000
ASC2 ASC41.0128164e-0012.4493159e-001-1.6956776e+000*7.6939808e-0022.2867297e-001-1.8305086e+000*
sigma2 sigma31.6071308e-0011.2399653e-0011.7150933e+000*-1.9197951e-002-3.3610556e-0022.3387446e+000
ASC4 LCOST6.1664071e-0021.7038062e-0011.8373493e+000*5.6179034e-0022.0112548e-0012.0360909e+000
ASC3 sigma32.9415008e-0016.7249371e-0011.9344188e+000*2.3969837e-0016.6178319e-0012.1728423e+000
LCOST sigma21.3973778e-0012.6373868e-001-1.9631610e+0006.0889240e-0032.7847792e-002-3.3987960e+000
ASC2 sigma22.7211640e-0014.4951146e-001-1.9832559e+0006.8136574e-0022.5870297e-001-3.4303705e+000
ASC1 sigma5-1.7849507e-001-2.3290157e-001-2.0731563e+000-5.9112983e-002-1.6392484e-001-3.6362191e+000
ASC1 LCOST1.7498277e-0018.3781527e-001-2.1715825e+0001.3376225e-0018.4991875e-001-2.4565588e+000
ASC1 ASC41.0827941e-0012.4788189e-001-2.5224966e+0008.1059548e-0022.2166598e-001-2.6975770e+000
ASC1 sigma22.3241582e-0013.6344324e-001-2.5373083e+0005.7639858e-0022.0136090e-001-4.3102097e+000
ASC3 LCOST1.1116220e-0016.2169602e-0013.6223662e+0009.0079913e-0026.4969272e-0014.2169252e+000
ASC2 ASC31.5612132e-0017.6420392e-001-3.7645179e+0001.2609524e-0017.5500466e-001-4.1202401e+000
ASC1 ASC22.2538014e-0019.4448419e-001-4.5324762e+0001.7730504e-0019.3526752e-001-4.6496038e+000
ASC1 ASC31.6354281e-0017.5781527e-001-5.8216590e+0001.3402495e-0017.3835929e-001-6.1638096e+000

Smallest singular value of the hessian: 1.0183331e-001