Table 1.

The mean Area Under the ROC curves (AUC) for both within and out-of-samples across 100 simulations, from study 1 and 2 respectively.

(a) Study 1: the degree of overlapping between the two latent subgroups is fixed by letting η1 = 1.0; true values for R, (p, q), and n vary under different simulation scenarios.
	true rank R = 1				true rank R = 2
	n = 200	n = 400	n = 600	n=800	n = 200	n = 400	n = 600	n = 800
	within sample AUC
(p, q) = (15, 15)	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00
(p, q) = (25, 25)	1.00	1.00	1.00	1.00	1.00	1.00	1.00	1.00
	out of sample AUC
(p, q) = (15, 15)	0.86	0.90	0.90	0.91	0.80	0.88	0.91	0.92
(p, q) = (25, 25)	0.87	0.93	0.94	0.95	0.74	0.88	0.92	0.94

(b) Study 2: the true rank R = 3, (p, q) = (15, 15), and n = 200 or 800; and η1 = 0.4 and η1 = 1.0 indicate high and low degrees of overlapping between the two latent subgroups, respectively. The models are fit with varying assumed rank values.
	η1 = 0.4					η1 = 1.0
assumed rank	R=1	R=2	R=3	R=4	R=5	R=1	R=2	R=3	R=4	R=5
	within sample AUC
n=200	0.90	0.89	0.87	0.84	0.80	1.00	1.00	1.00	1.00	1.00
n=800	0.94	0.96	0.96	0.95	0.93	1.00	1.00	1.00	1.00	1.00
	out of sample AUC
n=200	0.59	0.63	0.63	0.63	0.63	0.71	0.75	0.75	0.73	0.72
n=800	0.80	0.84	0.84	0.81	0.79	0.82	0.88	0.88	0.86	0.84