BIOGEME Version 1.4 [Sat Dec 17 12:19:10 GMT 2005]

Author: Michel Bierlaire, EPFL (2001-2005)

This file has automatically been generated.

07/30/06 18:42:58

constraining sig3

Model: Mixed Multinomial Logit
Number of Halton draws: 1000
Number of estimated parameters: 5
Number of observations: 4000
Number of individuals: 4000
Null log-likelihood: -4394.45
Init log-likelihood: -3145.08
Final log-likelihood: -2764.29
Likelihood ratio test: 3260.31
Rho-square: 0.370958
Adjusted rho-square: 0.36982
Final gradient norm: 9.46701e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +3.7636006e+000+5.8873944e-001+6.3926422e+000+5.9402520e-001+6.3357592e+000
ASC2 +1.0302413e+000+2.6009872e-001+3.9609626e+000+2.5561415e-001+4.0304549e+000
ASC3 +0.0000000e+000 fixed
BETA -2.7577024e+000+4.9782998e-001-5.5394463e+000+5.0117473e-001-5.5024770e+000
SIGMA1 +9.0276458e+000+1.8444198e+000+4.8945721e+000+1.8474818e+000+4.8864600e+000
SIGMA2 +6.8442227e+000+1.5664556e+000+4.3692415e+000+1.5710430e+000+4.3564834e+000
SIGMA3 +3.5000000e+000 fixed

Scale parameters

Name Value Std err t-test 1Robust Std err Robust t-test 1
Scale1 +1.0000000e+000 fixed

Utility functions

1Alt1avASC1 [ SIGMA1 ] * one + BETA * x1
2Alt2avASC2 [ SIGMA2 ] * one + BETA * x2
3Alt3avASC3 [ SIGMA3 ] * one + BETA * x3

Variance of random coefficients

NameValueStd errt-testRobust Std errRobust t-test
ASC1_SIGMA1+8.1498388e+001+3.3301537e+001+2.4472861e+000
ASC2_SIGMA2+4.6843385e+001+2.1442341e+001+2.1846208e+000
ASC3_SIGMA3+1.2250000e+001fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA28.1413236e-0018.8278269e-001-2.8454442e+0008.2777019e-0018.8698616e-001-2.8535270e+000
SIGMA1 SIGMA22.7371880e+0009.4738559e-0013.5359766e+0002.7611898e+0009.5132307e-0013.6441773e+000
ASC2 SIGMA2-3.3080188e-002-8.1191708e-002-3.6143109e+000-2.1503609e-002-5.3547402e-002-3.6220691e+000
ASC1 SIGMA19.4187802e-0018.6738469e-001-3.8548738e+0009.5455270e-0018.6979093e-001-3.8629543e+000
ASC2 SIGMA11.1340241e-0022.3638739e-002-4.3076215e+0001.7681405e-0023.7441369e-002-4.3099295e+000
ASC1 ASC22.1456567e-0021.4011960e-0014.4854255e+0002.3829128e-0021.5693449e-0014.4903015e+000
BETA SIGMA2-7.6116294e-001-9.7606448e-001-4.6719616e+000-7.7044826e-001-9.7851222e-001-4.6520122e+000
BETA SIGMA1-9.0009302e-001-9.8027194e-001-5.0483324e+000-9.0829248e-001-9.8097151e-001-5.0340150e+000
ASC1 BETA-2.6286864e-001-8.9688055e-0016.1615403e+000-2.6743997e-001-8.9832252e-0016.1106498e+000
ASC2 BETA6.8772477e-0045.3112337e-0036.7586855e+000-1.4639902e-003-1.1427840e-0026.7020405e+000

Smallest singular value of the hessian: 1.6063795e-001