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 16:27:32

Synthetic data results for W 1-9 1000h (s9_1000h.mod)

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: -2988.11
Final log-likelihood: -2765.2
Likelihood ratio test: 3258.49
Rho-square: 0.370751
Adjusted rho-square: 0.369613
Final gradient norm: 5.86717e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.3647551e+000+1.4110734e-001+9.6717518e+000+1.4437899e-001+9.4525882e+000
ASC2 +3.8141083e-001+1.2360839e-001+3.0856386e+000+1.2632870e-001+3.0191939e+000
ASC3 +0.0000000e+000 fixed
BETA -9.9507074e-001+4.2989016e-002-2.3147093e+001+4.3344516e-002-2.2957247e+001
SIGMA1 +3.0000000e+000 fixed
SIGMA2 +2.1174992e+000+2.1994433e-001+9.6274326e+000+2.1299118e-001+9.9417222e+000
SIGMA3 +5.2852071e-001+7.2939697e-001+7.2459955e-001 *+7.6387369e-001+6.9189543e-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+9.0000000e+000fixed
ASC2_SIGMA2+4.4838028e+000+9.3146386e-001+4.8137163e+000
ASC3_SIGMA3+2.7933415e-001+7.7100282e-001+3.6229977e-001

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC2 SIGMA35.7552914e-0026.3834492e-001-2.2377054e-001*6.4316464e-0026.6649759e-001-2.1439282e-001*
ASC1 SIGMA36.7588394e-0026.5668724e-0011.2953524e+000*7.4420867e-0026.7479083e-0011.2390268e+000*
SIGMA2 SIGMA3-1.9288060e-002-1.2022972e-0012.0196805e+000-1.8418738e-002-1.1320789e-0011.9474973e+000*
BETA SIGMA3-1.7549480e-002-5.5968386e-001-2.0198774e+000-1.9332674e-002-5.8389696e-001-1.9286785e+000*
ASC1 SIGMA26.4649238e-0032.0830565e-001-3.1993466e+0006.6162470e-0032.1515235e-001-3.2703887e+000
ASC2 SIGMA2-9.0205906e-003-3.3179837e-001-6.0739633e+000-8.2031904e-003-3.0487312e-001-6.2269576e+000
ASC1 ASC29.7751133e-0035.6043370e-0017.8629589e+0001.0691831e-0025.8620036e-0017.9187274e+000
ASC2 BETA-1.3958052e-003-2.6267536e-0019.7530376e+000-1.6734639e-003-3.0561886e-0019.4571464e+000
BETA SIGMA2-5.1600254e-003-5.4573471e-001-1.2649838e+001-5.0207220e-003-5.4383905e-001-1.3004600e+001
ASC1 BETA-4.0443401e-003-6.6671554e-0011.3659104e+001-4.2580056e-003-6.8040590e-0011.3351317e+001

Smallest singular value of the hessian: 1.8230632e+000