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 15:58:46

Synthetic data results consraining sig1

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: -2869.45
Final log-likelihood: -2772.95
Likelihood ratio test: 3243
Rho-square: 0.368988
Adjusted rho-square: 0.36785
Final gradient norm: 3.85535e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.0138146e+000+7.0931407e-002+1.4292887e+001+7.0461337e-002+1.4388240e+001
ASC2 +3.3980435e-001+6.7659920e-002+5.0222400e+000+6.5964385e-002+5.1513305e+000
ASC3 +0.0000000e+000 fixed
BETA -6.6779397e-001+2.4416023e-002-2.7350645e+001+2.3921032e-002-2.7916604e+001
SIGMA1 +1.5000000e+000 fixed
SIGMA2 +9.6840413e-001+2.2933139e-001+4.2227281e+000+2.2058317e-001+4.3901995e+000
SIGMA3 -7.9134469e-003+2.7613493e-001-2.8657899e-002 *+8.2139670e-003-9.6341353e-001 *

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+2.2500000e+000fixed
ASC2_SIGMA2+9.3780656e-001+4.4417094e-001+2.1113641e+000
ASC3_SIGMA3+6.2622643e-005+4.3703583e-003+1.4328949e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC1 SIGMA25.9334103e-0033.6475588e-0012.1228807e-001*6.0283554e-0033.8786054e-0012.2273677e-001*
ASC2 SIGMA31.5968311e-0048.5468515e-0031.2254757e+000*3.0424920e-0055.6152225e-0025.2672911e+000
BETA SIGMA36.2219880e-0059.2285378e-003-2.3823457e+0006.5275622e-0063.3221418e-002-2.6360871e+001
ASC2 SIGMA2-5.5748153e-003-3.5928203e-001-2.4049114e+000-5.0353709e-003-3.4605854e-001-2.5028332e+000
SIGMA2 SIGMA3-2.3960976e-004-3.7837257e-0032.7149003e+000-1.5684468e-004-8.6565422e-0024.4088398e+000
ASC1 SIGMA36.6778513e-0053.4093911e-0033.5867065e+0008.6789453e-0061.4995575e-0021.4427919e+001
BETA SIGMA2-4.2055709e-003-7.5108056e-001-6.5924208e+000-4.0304246e-003-7.6383318e-001-6.8359122e+000
ASC1 ASC21.4278393e-0032.9751527e-0018.2016952e+0001.2353072e-0032.6577527e-0018.1463743e+000
ASC2 BETA3.0104824e-0041.8223412e-0011.4901795e+0013.0003390e-0041.9014324e-0011.5324006e+001
ASC1 BETA-7.9900358e-004-4.6135499e-0011.9783064e+001-7.6086117e-004-4.5141360e-0012.0015267e+001

Smallest singular value of the hessian: 1.3113451e+001