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 20:33:11

Telephone 3-4

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: -471.156
Likelihood ratio test: 178.186
Rho-square: 0.159024
Adjusted rho-square: 0.14296
Final gradient norm: 9.53863e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -3.2790041e+000+4.7088313e-001-6.9635199e+000+4.4826436e-001-7.3148890e+000
ASC2 -2.5274708e+000+4.2768448e-001-5.9096621e+000+4.0758901e-001-6.2010278e+000
ASC3 -1.3617528e+000+4.2344306e-001-3.2159053e+000+4.0229480e-001-3.3849624e+000
ASC4 -1.0478751e+000+8.7153227e-001-1.2023365e+000 *+8.0506128e-001-1.3016091e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -2.6932710e+000+4.2603850e-001-6.3216612e+000+3.7039014e-001-7.2714437e+000
sigma1 -7.3442829e-003+2.5482520e+000-2.8820865e-003 *+1.3147134e+000-5.5862234e-003 *
sigma2 +0.0000000e+000 fixed
sigma3 -2.9004729e+000+1.0442524e+000-2.7775593e+000+9.6204909e-001-3.0148908e+000
sigma4 -2.0259376e-001+3.1364164e+000-6.4594025e-002 *+5.6919216e-001-3.5593210e-001 *
sigma5 +2.8921539e-001+1.6482671e+000+1.7546634e-001 *+1.0779265e+000+2.6830716e-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+5.3938491e-005+3.7430167e-002+1.4410433e-003
ASC2_sigma2+0.0000000e+000fixed
ASC3_sigma3+8.4127433e+000+6.0576517e+000+1.3887796e+000
ASC4_sigma4+4.1044232e-002+1.2708368e+000+3.2297013e-002
ASC5_sigma5+8.3645543e-002+9.5340841e-001+8.7733172e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
sigma1 sigma4-3.0050811e-003-3.7599329e-0044.8306729e-002*-8.6407395e-002-1.1546781e-0011.3088773e-001*
sigma1 sigma51.2265894e+0002.9203120e-001-1.1408510e-001*9.1751556e-0016.4743057e-001-2.8867595e-001*
sigma4 sigma5-2.7385005e-001-5.2972630e-002-1.3587344e-001*-5.1028381e-002-8.3169433e-002-3.9028023e-001*
LCOST sigma32.7426128e-0016.1646748e-0012.4360697e-001*2.0881019e-0015.8599653e-0012.5797517e-001*
ASC4 sigma47.1291866e-0012.6080913e-001-2.7912372e-001*-5.1700440e-002-1.1282527e-001-8.1507056e-001*
ASC3 ASC47.6919920e-0022.0843005e-001-3.5425546e-001*5.6877185e-0021.7561627e-001-3.7617521e-001*
ASC3 sigma42.4110199e-0021.8153989e-002-3.6714264e-001*7.2265083e-0033.1559142e-002-1.6883522e+000*
ASC4 sigma1-1.1322616e-002-5.0982478e-003-3.8575761e-001*3.6915838e-0023.4878091e-002-6.8569390e-001*
ASC2 sigma32.2967117e-0015.1425380e-0014.1341846e-001*1.9536969e-0014.9823873e-0014.4552766e-001*
ASC1 sigma32.4548453e-0014.9923556e-001-4.1770581e-001*2.0547268e-0014.7645582e-001-4.4749320e-001*
ASC3 sigma1-4.0481803e-002-3.7516512e-002-5.2116323e-001*-1.0347524e-001-1.9564148e-001-9.3524032e-001*
ASC2 LCOST1.4677139e-0018.0550657e-0016.2276361e-001*1.2760451e-0018.4524801e-0017.5591624e-001*
ASC4 sigma51.2943114e-0029.0100607e-003-7.1981665e-001*3.6903956e-0044.2526029e-004-9.9404071e-001*
ASC2 sigma44.4111262e-0023.2884578e-002-7.3771059e-001*1.3478531e-0025.8098001e-002-3.4161621e+000
LCOST sigma47.5671337e-0025.6630298e-002-7.9290081e-001*2.2795279e-0021.0812511e-001-3.8635913e+000
sigma3 sigma49.0086376e-0022.7505523e-002-8.2294503e-001*3.6701613e-0026.7023794e-002-2.4876978e+000
ASC3 sigma5-1.3560501e-001-1.9429120e-001-9.2767149e-001*-1.4202062e-001-3.2750492e-001-1.3020319e+000*
ASC2 sigma1-5.8299141e-002-5.3492917e-002-9.6691504e-001*-1.0260560e-001-1.9147739e-001-1.7391306e+000*
ASC1 sigma44.7676257e-0023.2281619e-002-9.7462735e-001*1.1266580e-0024.4156940e-002-4.3403510e+000
sigma1 sigma3-3.6569545e-001-1.3742688e-0011.0032867e+000*-4.3571497e-001-3.4448804e-0011.5408526e+000*
LCOST sigma1-1.7242370e-001-1.5882020e-001-1.0137417e+000*-1.5577797e-001-3.1990095e-001-1.8203018e+000*
ASC1 sigma1-6.4922423e-002-5.4105225e-002-1.2504784e+000*-1.1024118e-001-1.8705897e-001-2.2313081e+000
sigma3 sigma5-8.3706672e-001-4.8632547e-001-1.3623957e+000*-5.5793769e-001-5.3802112e-001-1.7821603e+000*
ASC4 sigma36.0038193e-0026.5968810e-0021.4085223e+000*3.7666920e-0024.8633323e-0021.5134834e+000*
LCOST sigma5-4.5040332e-001-6.4139439e-001-1.5301645e+000*-1.8037329e-001-4.5177652e-001-2.3149554e+000
ASC2 sigma5-2.0597317e-001-2.9218612e-001-1.5478063e+000*-1.2937068e-001-2.9445861e-001-2.2360317e+000
ASC2 ASC49.1786946e-0022.4624870e-001-1.6984326e+000*7.7787558e-0022.3706025e-001-1.8230841e+000*
ASC4 LCOST5.6345290e-0021.5174881e-0011.8078145e+000*5.6511614e-0021.8951752e-0012.0067456e+000
ASC3 sigma32.9355574e-0016.6388074e-0011.8623393e+000*2.6032632e-0016.7263029e-0012.0439616e+000
ASC1 sigma5-2.4158365e-001-3.1126251e-001-1.9289977e+000*-1.3909198e-001-2.8785828e-001-2.7854194e+000
ASC1 LCOST1.6400562e-0018.1751691e-001-2.1355441e+0001.4125945e-0018.5079296e-001-2.4838181e+000
ASC1 ASC49.9777581e-0022.4312877e-001-2.5234362e+0008.1451638e-0022.2570266e-001-2.6934664e+000
ASC3 LCOST1.0755716e-0015.9620477e-0013.4883461e+0009.8379484e-0026.6023829e-0014.1636182e+000
ASC2 ASC31.4119564e-0017.7965557e-001-4.1259055e+0001.2646506e-0017.7126509e-001-4.2554719e+000
ASC1 ASC21.8948008e-0019.4086416e-001-4.6893239e+0001.7104415e-0019.3616315e-001-4.7548790e+000
ASC1 ASC31.5071506e-0017.5587243e-001-6.0748961e+0001.3467514e-0017.4680771e-001-6.2723712e+000

Smallest singular value of the hessian: 1.0092019e-001