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 20:41:25

Telephone 3-5

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: -476.199
Likelihood ratio test: 168.101
Rho-square: 0.150023
Adjusted rho-square: 0.133959
Final gradient norm: 9.27486e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 -5.1166411e+000+1.5730877e+000-3.2526102e+000+2.1570918e+000-2.3720090e+000
ASC2 -3.9007787e+000+1.3175749e+000-2.9605745e+000+1.7980782e+000-2.1694154e+000
ASC3 -1.1008337e+000+4.1001888e-001-2.6848365e+000+5.0963628e-001-2.1600379e+000
ASC4 -1.3135309e+000+1.2105850e+000-1.0850381e+000 *+1.1268845e+000-1.1656305e+000 *
ASC5 +0.0000000e+000 fixed
LCOST -3.2618068e+000+7.2574438e-001-4.4944293e+000+1.0273527e+000-3.1749631e+000
sigma1 +2.8596699e+000+1.2633470e+000+2.2635664e+000+1.6606592e+000+1.7220089e+000 *
sigma2 -3.3403810e+000+1.6019833e+000-2.0851535e+000+2.0995018e+000-1.5910350e+000 *
sigma3 +0.0000000e+000 fixed
sigma4 +9.0099197e-001+3.4417503e+000+2.6178307e-001 *+2.3379514e+000+3.8537669e-001 *
sigma5 +8.2404244e-002+6.4747821e-001+1.2726953e-001 *+6.3723526e-002+1.2931526e+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+8.1777119e+000+7.2255110e+000+1.1317832e+000
ASC2_sigma2+1.1158145e+001+1.0702469e+001+1.0425767e+000
ASC3_sigma3+0.0000000e+000fixed
ASC4_sigma4+8.1178653e-001+6.2019788e+000+1.3089154e-001
ASC5_sigma5+6.7904595e-003+1.0670991e-001+6.3634763e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
LCOST sigma29.1522863e-0017.8720517e-0016.9927357e-002*1.9380823e+0008.9853791e-0016.2368354e-002*
ASC3 ASC41.9411979e-0013.9108454e-0011.9059381e-001*3.0535463e-0015.3169770e-0012.2188627e-001*
sigma4 sigma56.0161993e-0022.6997136e-0022.3489541e-001*1.5154639e-0021.0172093e-0013.5097408e-001*
ASC4 sigma4-2.5597756e+000-6.1436609e-001-5.1583298e-001*-1.2236030e+000-4.6443578e-001-7.3077843e-001*
sigma1 sigma46.0179977e-0011.3840443e-0015.5989448e-001*1.1517241e+0002.9664190e-0018.0498739e-001*
ASC3 sigma4-2.2906453e-001-1.6232097e-001-5.6683951e-001*-3.6894819e-001-3.0964893e-001-7.8738583e-001*
ASC2 LCOST8.7141576e-0019.1131058e-001-8.8619931e-001*1.7714661e+0009.5896931e-001-7.3999168e-001*
ASC2 sigma21.9587386e+0009.2798979e-001-9.0330725e-001*3.6368998e+0009.6339968e-001-9.2480205e-001*
ASC4 sigma5-1.9672918e-002-2.5098532e-002-1.0063581e+000*-7.3503341e-003-1.0235944e-001-1.2297055e+000*
sigma2 sigma4-7.5283476e-001-1.3654076e-001-1.0630820e+000*-1.4271472e+000-2.9074820e-001-1.1888379e+000*
LCOST sigma4-4.5570774e-001-1.8244138e-001-1.1421544e+000*-8.1298335e-001-3.3847502e-001-1.4583942e+000*
ASC4 sigma25.4877311e-0012.8296945e-0011.1832264e+000*1.0867682e+0004.5934740e-0011.0827413e+000*
ASC2 sigma4-7.2228139e-001-1.5927652e-001-1.2387300e+000*-1.3182591e+000-3.1358604e-001-1.4261945e+000*
ASC1 ASC21.7504340e+0008.4453467e-001-1.4432269e+000*3.6353001e+0009.3726643e-001-1.5497435e+000*
ASC1 sigma21.8096387e+0007.1809345e-001-1.4897245e+000*3.9876856e+0008.8051353e-001-1.7048075e+000*
ASC1 sigma4-8.5743771e-001-1.5836904e-001-1.5027596e+000*-1.5969496e+000-3.1665556e-001-1.6492572e+000*
ASC3 sigma5-1.1523389e-002-4.3406144e-002-1.5144965e+000*-7.1891940e-003-2.2137067e-001-2.2434600e+000
ASC3 sigma24.4416783e-0016.7621572e-0011.6482727e+000*8.7988545e-0018.2233646e-0011.3133275e+000*
ASC4 LCOST3.2521217e-0013.7015857e-0011.6819269e+000*6.1073663e-0015.2753954e-0011.8543668e+000*
ASC2 ASC45.6051255e-0013.5141049e-001-1.7937203e+000*1.0319352e+0005.0928918e-001-1.6566268e+000*
sigma2 sigma5-6.8681684e-002-6.6215216e-002-1.9368576e+000*-3.2465349e-002-2.4266326e-001-1.6176739e+000*
ASC1 LCOST1.0505986e+0009.2023806e-001-1.9550447e+000*2.1374011e+0009.6449026e-001-1.5490896e+000*
sigma1 sigma56.8034319e-0028.3172589e-0022.0259575e+0002.9829634e-0022.8188218e-0011.6895049e+000*
ASC4 sigma1-4.2723068e-001-2.7934729e-001-2.1088547e+000-8.4421283e-001-4.5111997e-001-1.7455006e+000*
ASC1 ASC46.5634029e-0013.4465202e-001-2.3462402e+0001.2138752e+0004.9937411e-001-2.0342540e+000
sigma1 sigma2-1.3168202e+000-6.5064762e-0012.3783042e+000-2.9795362e+000-8.5457838e-0011.7113917e+000*
ASC3 sigma1-3.6341632e-001-7.0158113e-001-2.5093664e+000-7.0987073e-001-8.3876139e-001-1.8801522e+000*
ASC2 sigma5-5.9869374e-002-7.0178527e-002-2.6408417e+000-2.8183995e-002-2.4597682e-001-2.1948280e+000
ASC2 sigma1-1.2146141e+000-7.2969329e-001-2.8165412e+000-2.6506405e+000-8.8769086e-001-2.0118106e+000
ASC2 ASC34.5965911e-0018.5085725e-001-2.8214690e+0008.3840959e-0019.1492885e-001-2.0777445e+000
ASC1 sigma1-1.8693916e+000-9.4064269e-001-2.8542519e+000-3.4790807e+000-9.7121499e-001-2.1042090e+000
ASC1 sigma5-8.2415231e-002-8.0915065e-002-2.9727457e+000-3.5368558e-002-2.5730542e-001-2.3910689e+000
LCOST sigma1-7.3915440e-001-8.0617405e-001-3.2258269e+000-1.5557658e+000-9.1189360e-001-2.3262340e+000
ASC1 ASC35.5142179e-0018.5492326e-001-3.2361593e+0001.0083496e+0009.1723826e-001-2.3597608e+000
LCOST sigma5-4.8133340e-002-1.0243235e-001-3.2758064e+000-1.4126271e-002-2.1577851e-001-3.2064597e+000
ASC3 LCOST2.6060142e-0018.7576835e-0015.1862394e+0004.8711146e-0019.3035450e-0013.7008189e+000

Smallest singular value of the hessian: 7.6636841e-002