BIOGEME Version 1.4 [Mon Dec 12 15:00:43 GMT 2005]

Author: Michel Bierlaire, EPFL (2001-2005)

This file has automatically been generated.

07/27/06 15:47:59

Synthetic data results for W 1-6 1000h

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: -2847.32
Final log-likelihood: -2782.2
Likelihood ratio test: 3224.5
Rho-square: 0.366884
Adjusted rho-square: 0.365746
Final gradient norm: 1.07149e-007
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +9.5382296e-001+6.2753652e-002+1.5199481e+001+6.2326730e-002+1.5303594e+001
ASC2 +3.2206322e-001+6.2926639e-002+5.1180744e+000+6.0806402e-002+5.2965347e+000
ASC3 +0.0000000e+000 fixed
BETA -5.9683082e-001+2.1931161e-002-2.7213827e+001+2.1317448e-002-2.7997292e+001
SIGMA1 +1.0000000e+000 fixed
SIGMA2 +7.5618037e-001+2.4531433e-001+3.0824957e+000+2.3497967e-001+3.2180672e+000
SIGMA3 -4.9119032e-003+2.1775925e-001-2.2556576e-002 *+4.4667707e-003-1.0996542e+000 *

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+1.0000000e+000fixed
ASC2_SIGMA2+5.7180875e-001+3.7100376e-001+1.5412478e+000
ASC3_SIGMA3+2.4126793e-005+2.1392248e-003+1.1278288e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA25.4779377e-0033.5584032e-0018.5720143e-001*5.5951385e-0033.8203768e-0019.0295979e-001*
ASC2 SIGMA31.4115701e-0041.0301283e-0021.4465017e+000*1.8021286e-0056.6350289e-0025.3890530e+000
ASC2 SIGMA2-5.6481382e-003-3.6588774e-001-1.5805929e+000*-5.0878732e-003-3.5608746e-001-1.6515956e+000*
SIGMA2 SIGMA3-2.7921010e-004-5.2267483e-0032.3142524e+000-1.7413693e-004-1.6590785e-0013.2282242e+000
BETA SIGMA33.5166573e-0057.3636274e-003-2.7065324e+0001.0579281e-0051.1110338e-001-2.7803809e+001
ASC1 SIGMA38.2119265e-0056.0093767e-0034.2373444e+000-6.8479000e-006-2.4597412e-0021.5316213e+001
BETA SIGMA2-4.0287569e-003-7.4883565e-001-5.1613981e+000-3.7889153e-003-7.5639629e-001-5.3799592e+000
ASC1 ASC21.2800508e-0033.2415571e-0018.6472027e+0001.0581081e-0032.7919421e-0018.5452378e+000
ASC2 BETA2.6534615e-0041.9227226e-0011.4695167e+0012.6056488e-0042.0101634e-0011.5249967e+001
ASC1 BETA-6.1874564e-004-4.4958470e-0012.0617757e+001-5.7883264e-004-4.3565575e-0012.0915249e+001

Smallest singular value of the hessian: 1.6255613e+001