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 16:07:31

Synthetic data results for W 1-7 1000h (s7_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: -2903.72
Final log-likelihood: -2767.85
Likelihood ratio test: 3253.2
Rho-square: 0.370149
Adjusted rho-square: 0.369011
Final gradient norm: 3.54192e-006
Variance-covariance: from finite difference hessian

Utility parameters

Name Value Std err t-testRobust Std err Robust t-test
ASC1 +1.1003199e+000+8.1155966e-002+1.3558091e+001+8.0808428e-002+1.3616401e+001
ASC2 +3.4790289e-001+7.4733085e-002+4.6552726e+000+7.3398982e-002+4.7398871e+000
ASC3 +0.0000000e+000 fixed
BETA -7.6082943e-001+2.7507068e-002-2.7659416e+001+2.7036269e-002-2.8141066e+001
SIGMA1 +2.0000000e+000 fixed
SIGMA2 +1.3106414e+000+2.1155034e-001+6.1954114e+000+2.0370123e-001+6.4341361e+000
SIGMA3 -1.9754662e-002+4.1738944e-001-4.7329088e-002 *+2.4030735e-002-8.2205817e-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+4.0000000e+000fixed
ASC2_SIGMA2+1.7177809e+000+5.5453329e-001+3.0977057e+000
ASC3_SIGMA3+3.9024667e-004+1.6490775e-002+2.3664544e-002

Correlation of coefficients

Coefficient1 Coefficient2CovarianceCorrelationt-testRob. cov.Rob. corr.Rob. t-test
ASC2 SIGMA3-1.1224090e-004-3.5982949e-0038.6652067e-001*7.5091637e-0054.2573023e-0024.8214725e+000
ASC1 SIGMA26.3716338e-0033.7112193e-001-1.0705557e+000*6.4214325e-0033.9010509e-001-1.1213147e+000*
BETA SIGMA32.7363455e-0042.3833355e-002-1.7744336e+000*-1.0420920e-005-1.6039552e-002-2.0326104e+001
ASC1 SIGMA3-4.0264434e-004-1.1886656e-0022.6283453e+0006.7201413e-0053.4606262e-0021.3413273e+001
SIGMA2 SIGMA3-1.2855626e-004-1.4559217e-0032.8414257e+000-1.6261447e-004-3.3219913e-0026.4612111e+000
ASC2 SIGMA2-5.4884724e-003-3.4715613e-001-3.8879719e+000-4.9090420e-003-3.2833189e-001-4.0431331e+000
ASC1 ASC21.6656355e-0032.7462914e-0018.0026012e+0001.5372770e-0032.5918235e-0018.0013320e+000
BETA SIGMA2-4.3463822e-003-7.4691276e-001-8.8974869e+000-4.1902537e-003-7.6085152e-001-9.2082964e+000
ASC2 BETA3.3738383e-0041.6412210e-0011.4728338e+0013.2880345e-0041.6569125e-0011.5003757e+001
ASC1 BETA-1.0483465e-003-4.6961297e-0011.9155960e+001-1.0111230e-003-4.6280770e-0011.9316667e+001

Smallest singular value of the hessian: 5.7397268e+000