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 18:21:14

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: -3080.48
Final log-likelihood: -2764.34
Likelihood ratio test: 3260.21
Rho-square: 0.370946
Adjusted rho-square: 0.369809
Final gradient norm: 8.14855e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +3.2783770e+000+5.1627791e-001+6.3500238e+000+5.2967991e-001+6.1893550e+000
ASC2 +8.9960542e-001+2.2656419e-001+3.9706427e+000+2.2275546e-001+4.0385336e+000
ASC3 +0.0000000e+000 fixed
BETA -2.3996238e+000+4.3727236e-001-5.4877097e+000+4.4902232e-001-5.3441080e+000
SIGMA1 +7.8305008e+000+1.6242500e+000+4.8209947e+000+1.6585732e+000+4.7212272e+000
SIGMA2 +5.9136195e+000+1.3885037e+000+4.2589871e+000+1.4195507e+000+4.1658389e+000
SIGMA3 +3.0000000e+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+6.1316742e+001+2.5437382e+001+2.4104974e+000
ASC2_SIGMA2+3.4970895e+001+1.6422166e+001+2.1294935e+000
ASC3_SIGMA3+9.0000000e+000fixed

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA26.3407972e-0018.8453142e-001-2.7380327e+0006.7113586e-0018.9257772e-001-2.6988577e+000
ASC2 SIGMA2-2.8713691e-002-9.1274762e-002-3.5133537e+000-2.0523792e-002-6.4905027e-002-3.4552370e+000
SIGMA1 SIGMA22.1377958e+0009.4790819e-0013.5562543e+0002.2451206e+0009.5357340e-0013.6503880e+000
ASC1 SIGMA17.2857951e-0018.6884144e-001-3.7835021e+0007.6908269e-0018.7543700e-001-3.7251716e+000
ASC2 SIGMA14.6703545e-0031.2691288e-002-4.2335770e+0008.7194960e-0032.3600890e-002-4.1545993e+000
ASC1 ASC21.5159055e-0021.2959771e-0014.4359991e+0001.6747126e-0021.4193791e-0014.3672074e+000
BETA SIGMA2-5.9285084e-001-9.7644179e-001-4.5729296e+000-6.2446259e-001-9.7968756e-001-4.4655696e+000
BETA SIGMA1-6.9643280e-001-9.8056032e-001-4.9786133e+000-7.3131888e-001-9.8198356e-001-4.8686603e+000
ASC1 BETA-2.0277012e-001-8.9819035e-0016.1110668e+000-2.1477183e-001-9.0301691e-0015.9465270e+000
ASC2 BETA1.6082924e-0031.6233857e-0026.7440580e+0001.6826554e-0041.6822824e-0036.5865540e+000

Smallest singular value of the hessian: 2.0614472e-001