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Wed Jul 6 20:06:08 2016
Tip: click on the columns headers to sort a table [Credits]
Example of a logit model for a transportation mode choice with 3 alternatives: |
- Train |
- Car |
- Swissmetro, an hypothetical high-speed train |
The time coefficient is distributed, with a unifrom distribution. This is an example of a mixture of logit model. |
The syntax for a distributed coefficient is B_TIME { B_TIME_S }, where |
B_TIME is the mean and B_TIME_S squared is the variance. |
The curly brackets are associated with a uniform distribution. |
Model: | Mixed Logit |
Number of Hess-Train draws: | 500 |
Number of estimated parameters: | 5 |
Number of observations: | 6768 |
Number of individuals: | 6768 |
Null log likelihood: | -6964.663 |
Init log likelihood: | -6964.663 |
Final log likelihood: | -5214.977 |
Likelihood ratio test: | 3499.372 |
Rho-square: | 0.251 |
Adjusted rho-square: | 0.251 |
Final gradient norm: | +1.189e-03 |
Diagnostic: | Normal termination. Obj: 6.05545e-06 Const: 6.05545e-06 |
Iterations: | 20 |
Run time: | 01:11 |
Variance-covariance: | from finite difference hessian |
Sample file: | ../swissmetro.dat |
Name | Value | Std err | t-test | p-value | Robust Std err | Robust t-test | p-value | ||
---|---|---|---|---|---|---|---|---|---|
ASC_CAR | 0.145 | 0.0527 | 2.75 | 0.01 | 0.0533 | 2.72 | 0.01 | ||
ASC_SM | 0.00 | fixed | |||||||
ASC_TRAIN | -0.385 | 0.0639 | -6.03 | 0.00 | 0.0660 | -5.83 | 0.00 | ||
B_COST | -1.28 | 0.0627 | -20.37 | 0.00 | 0.0866 | -14.75 | 0.00 | ||
B_TIME | -2.32 | 0.129 | -18.02 | 0.00 | 0.126 | -18.41 | 0.00 | ||
B_TIME_S | -2.88 | 0.215 | -13.40 | 0.00 | 0.200 | -14.37 | 0.00 |
Id | Name | Availability | Specification |
---|---|---|---|
1 | A1_TRAIN | TRAIN_AV_SP | ASC_TRAIN * one + B_TIME { B_TIME_S } * TRAIN_TT_SCALED + B_COST * TRAIN_COST_SCALED |
2 | A2_SM | SM_AV | ASC_SM * one + B_TIME { B_TIME_S } * SM_TT_SCALED + B_COST * SM_COST_SCALED |
3 | A3_Car | CAR_AV_SP | ASC_CAR * one + B_TIME { B_TIME_S } * CAR_TT_SCALED + B_COST * CAR_CO_SCALED |
Name | Value | Std err | t-test | Robust Std err | Robust t-test |
---|---|---|---|---|---|
B_TIME_B_TIME_S | 2.76 | 0.411 | 6.70 |
Coefficient1 | Coefficient2 | Covariance | Correlation | t-test | p-value | Rob. cov. | Rob. corr. | Rob. t-test | p-value | ||
---|---|---|---|---|---|---|---|---|---|---|---|
B_TIME | B_TIME_S | 0.0233 | 0.842 | 4.37 | 0.00 | 0.0209 | 0.827 | 4.66 | 0.00 | ||
ASC_TRAIN | B_COST | -0.000182 | -0.0455 | 9.76 | 0.00 | -0.000319 | -0.0558 | 7.99 | 0.00 | ||
B_COST | B_TIME_S | 0.00367 | 0.273 | 7.73 | 0.00 | 0.00444 | 0.256 | 8.13 | 0.00 | ||
B_COST | B_TIME | 0.00234 | 0.290 | 8.28 | 0.00 | 0.00353 | 0.323 | 8.16 | 0.00 | ||
ASC_TRAIN | B_TIME_S | -0.00475 | -0.346 | 10.20 | 0.00 | -0.00454 | -0.344 | 10.77 | 0.00 | ||
ASC_CAR | ASC_TRAIN | 0.00218 | 0.649 | 10.64 | 0.00 | 0.00241 | 0.685 | 10.87 | 0.00 | ||
ASC_TRAIN | B_TIME | -0.00531 | -0.645 | 10.94 | 0.00 | -0.00549 | -0.660 | 10.95 | 0.00 | ||
ASC_CAR | B_TIME_S | -0.00554 | -0.491 | 12.34 | 0.00 | -0.00551 | -0.517 | 13.01 | 0.00 | ||
ASC_CAR | B_COST | 0.000185 | 0.0559 | 17.87 | 0.00 | 0.000172 | 0.0373 | 14.23 | 0.00 | ||
ASC_CAR | B_TIME | -0.00446 | -0.657 | 14.66 | 0.00 | -0.00446 | -0.663 | 14.83 | 0.00 |
Smallest singular value of the hessian: 5.30278