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 21:07:24

Telephone 3-8

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: -479.114
Final log-likelihood: -471.228
Likelihood ratio test: 178.043
Rho-square: 0.158896
Adjusted rho-square: 0.142832
Final gradient norm: 1.49397e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -4.0230953e+000+1.1301906e+000-3.5596609e+000+1.1896581e+000-3.3817238e+000
ASC2 -3.0679825e+000+7.9811557e-001-3.8440329e+000+8.0628681e-001-3.8050759e+000
ASC3 -1.6652060e+000+4.5525098e-001-3.6577758e+000+4.4547214e-001-3.7380699e+000
ASC4 -1.1724215e+000+1.1725958e+000-9.9985137e-001 *+9.5615389e-001-1.2261850e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -3.4270267e+000+8.0510952e-001-4.2565969e+000+7.7767843e-001-4.4067401e+000
sigma1 +9.5179746e-001+1.3003485e+000+7.3195568e-001 *+1.3936164e+000+6.8296947e-001 *
sigma2 +6.9373976e-001+1.3518344e+000+5.1318397e-001 *+1.2094915e+000+5.7357970e-001 *
sigma3 +4.0000000e+000 fixed
sigma4 -7.4147786e-001+3.2654538e+000-2.2706732e-001 *+1.4417973e+000-5.1427330e-001 *
sigma5 +1.4617656e+000+9.2757451e-001+1.5759010e+000 *+8.5687758e-001+1.7059212e+000 *

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+9.0591840e-001+2.4753368e+000+3.6597784e-001
ASC2_sigma2+4.8127485e-001+1.8756426e+000+2.5659199e-001
ASC3_sigma3+1.6000000e+001fixed
ASC4_sigma4+5.4978942e-001+4.8425234e+000+1.1353366e-001
ASC5_sigma5+2.1367588e+000+2.7117931e+000+7.8795052e-001

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
sigma1 sigma22.8286976e-0011.6091749e-0011.5018025e-001*6.5289895e-0013.8734675e-0011.7810903e-001*
ASC4 sigma41.9588183e+0005.1156670e-001-1.5122661e-001*9.2924442e-0026.7405906e-002-2.5720941e-001*
ASC3 sigma4-2.6439990e-002-1.7785532e-002-2.7949034e-001*-7.6644152e-002-1.1933127e-001-5.9250931e-001*
sigma2 sigma4-4.9925883e-001-1.1309899e-0013.9077364e-001*-1.6981304e-001-9.7378707e-0027.2850165e-001*
ASC3 ASC41.2723293e-0012.3834185e-001-4.2765725e-001*9.7814645e-0022.2964423e-001-5.1459003e-001*
sigma1 sigma55.7800962e-0014.7921070e-001-4.3172994e-001*4.8643582e-0014.0734605e-001-3.9072180e-001*
sigma2 sigma55.8242317e-0024.6447928e-002-4.7895410e-001*8.6004628e-0028.2985120e-002-5.3970030e-001*
sigma1 sigma41.9151971e-0014.5103493e-0024.8939706e-001*2.3799327e-0011.1844513e-0018.9933590e-001*
sigma4 sigma5-4.0106647e-001-1.3241098e-001-6.2756168e-001*-3.2414516e-001-2.6237144e-001-1.1842470e+000*
ASC2 sigma42.0598056e-0017.9034535e-002-7.0505916e-001*2.1239624e-0021.8270610e-002-1.4194454e+000*
ASC2 LCOST5.2815071e-0018.2193434e-0017.5047469e-001*5.2881488e-0018.4336205e-0018.0841946e-001*
LCOST sigma43.1830088e-0011.2107078e-001-8.2196518e-001*1.4807922e-0011.3206564e-001-1.7380810e+000*
ASC1 sigma41.3980084e-0013.7880397e-002-9.6099601e-001*-5.9210536e-002-3.4520144e-002-1.7265724e+000*
ASC4 sigma2-2.2938458e-001-1.4470795e-001-9.7529741e-001*-9.1266929e-002-7.8919228e-002-1.1664342e+000*
ASC1 LCOST7.9855286e-0018.7760081e-001-1.0401050e+000*8.2138544e-0018.8781968e-001-9.7040544e-001*
ASC4 sigma1-6.5911874e-002-4.3227048e-002-1.1878995e+000*-1.2964388e-001-9.7292865e-002-1.2034347e+000*
ASC2 ASC42.4120751e-0012.5773697e-001-1.5326935e+000*1.9156925e-0012.4848974e-001-1.7441260e+000*
ASC3 sigma2-1.6288110e-001-2.6466488e-001-1.5353894e+000*-1.5355893e-001-2.8500450e-001-1.6813481e+000*
ASC4 LCOST1.5716755e-0011.6647905e-0011.7247212e+000*1.4611467e-0011.9650154e-0012.0355714e+000
ASC4 sigma5-1.8351198e-002-1.6872028e-002-1.7475718e+000*-3.2657007e-002-3.9859312e-002-2.0121885e+000
ASC3 sigma1-1.3979750e-001-2.3615045e-001-1.7733719e+000*-2.0684112e-001-3.3317551e-001-1.6374529e+000*
ASC2 sigma2-6.7711297e-001-6.2758398e-001-1.9249995e+000*-6.3584990e-001-6.5202198e-001-2.0446958e+000
ASC1 ASC28.3512882e-0019.2584011e-001-1.9333251e+000*9.0525300e-0019.4375276e-001-1.8918544e+000*
ASC1 ASC42.6685011e-0012.0135729e-001-1.9584922e+000*2.3661735e-0012.0801594e-001-2.0923076e+000
ASC2 sigma1-6.2456438e-001-6.0179930e-001-2.1254035e+000-8.0659506e-001-7.1783190e-001-1.9601792e+000
ASC1 sigma1-1.2112856e+000-8.2420475e-001-2.1426774e+000-1.4531183e+000-8.7646693e-001-1.9877813e+000
ASC3 LCOST1.0641124e-0012.9032314e-0012.1977608e+0001.2576207e-0013.6301876e-0012.3719648e+000
ASC1 sigma2-7.0107821e-001-4.5887170e-001-2.2218239e+000-7.9357339e-001-5.5152107e-001-2.2321595e+000
ASC2 ASC32.2586459e-0016.2162929e-001-2.2390387e+0002.3211463e-0016.4623787e-001-2.2627941e+000
LCOST sigma1-7.3998574e-001-7.0681969e-001-2.2406715e+000-8.2898492e-001-7.6489765e-001-2.1353970e+000
LCOST sigma2-4.3277213e-001-3.9763154e-001-2.2543775e+000-4.3117558e-001-4.5840705e-001-2.4073756e+000
ASC1 ASC32.7282554e-0015.3025215e-001-2.4333583e+0003.0090156e-0015.6778211e-001-2.3439505e+000
LCOST sigma5-5.5201189e-001-7.3917057e-001-3.0245690e+000-4.4458199e-001-6.6716465e-001-3.2751092e+000
ASC1 sigma5-4.7345289e-001-4.5162323e-001-3.1229426e+000-3.8777442e-001-3.8039797e-001-3.2069867e+000
ASC2 sigma5-2.4433494e-001-3.3004335e-001-3.2142426e+000-2.0017077e-001-2.8972924e-001-3.3907360e+000
ASC3 sigma56.6614585e-0021.5775010e-001-3.2348427e+0005.0829958e-0021.3316203e-001-3.4301805e+000

Smallest singular value of the hessian: 8.9759878e-002