Mixed Multinomial Probit Model Accommodating Flexible Covariance Structure and Random Taste Variation: An Application to Commute Mode Choice Behavior

Table 3

Simulation results for a four-alternative MMNP model of 5,000 observations when random coefficients are associated with generic variables.

Parameters	True values	Estimates	std. err.	t-stat
	−0.5	−0.792	0.192	−4.126^∗∗∗
	−0.4	0.561	0.066	8.481^∗∗∗
	−0.3	−0.714	0.204	−3.500^∗∗∗
	0.5	0.326	0.040	8.154^∗∗∗
	0.3	−0.455	0.218	−2.091^∗∗
	0.2	0.188	0.034	5.488^∗∗∗
	0.1	0.062	0.032	1.943^∗
	0.2	0.199	0.024	8.410^∗∗∗
	0.4	0.443	0.049	8.995^∗∗∗
	0.6	0.660	0.069	9.521^∗∗∗
	0.5	0.580	0.060	9.746^∗∗∗
	1.0	1.000	—	—
	1.0	1.000	—	—
	1.0	1.000	—	—
	1.0	1.000	—	—
	1.0	1.000	—	—
	1.0	1.000	—	—
	1.0	1.000	—	—
	0.5	0.476	0.159	2.992^∗∗∗
	−0.3	−0.340	0.125	−2.733^∗∗∗
	0.6	0.628	0.137	4.584^∗∗∗
	1.0	1.000	—	—
	−0.4	−1.148	0.441	−2.602^∗∗∗
	0.5	0.430	0.206	2.089^∗∗
	1.0	1.000	—	—
	0.3	0.300	—	—
	1.0	1.000	—	—

Note. “—” the corresponding parameter is fixed; ^∗∗∗significant at 0.01 level, ^∗∗significant at 0.05 level, ^∗significant at 0.1 level.