Table 2.

Percentage of times enumerated by the fit indices for different number of classes under the high level of effect of x_i in Study I.

# of Classes		Model w/o Covariates					Model with Covariates
		1	2	3	4	5	1	2	3	4	5
N=200	AIC	0	4.0	2.0	60.0	34.0	0	75.5	16.0	6.5	2.0
	BIC	3.0	91.5	1.0	4.5	0	0	100.0	0	0	0
	ABIC	0	7.0	2.5	62.5	28.0	0	78.5	14.5	6.0	1.0
	LMR	5.5	87.5	6.0	1.0	0	13.0	86.0	1.0	0	0
	ALMR	7.0	86.5	5.5	1.0	0	14.0	85.0	1.0	0	0
	BLRT	0	82.5	7.5	9.5	0.5	1.5	92.0	6.5	0	0
N=400	AIC	0	0.5	0	55.0	44.5	0	73.0	18.5	7.0	1.5
	BIC	0	59.5	0	40.5	0	0	100.0	0	0	0
	ABIC	0	1.0	0	87.5	11.5	0	92.5	7.0	0	0.5
	LMR	0	82.5	3.5	7.5	6.5	0	98.0	2.0	0	0
	ALMR	0	84.0	4.0	6.5	5.5	0	98.0	2.0	0	0
	BLRT	0	76.0	6.5	16.0	1.5	0	93.0	7.0	0	0
N=1000	AIC	0	0	0	56.5	43.5	0	68.0	21.5	9.0	1.5
	BIC	0	0	0	100.0	0	0	100.0	0	0	0
	ABIC	0	0	0	97.0	3.0	0	98.0	2.0	0	0
	LMR	0	77.5	0	14.0	8.5	0	98.0	2.0	0	0
	ALMR	0	82.0	0	12.0	6.0	0	98.0	2.0	0	0
	BLRT	0	44.5	19.5	33.0	3.0	1.5	89.5	8.5	0.5	0
N=2000	AIC	0	0	0	52.0	48.0	0	71.0	19.5	8.5	1.0
	BIC	0	0	0	100.0	0	0	100.0	0	0	0
	ABIC	0	0	0	98.5	1.5	0	100.0	0	0	0
	LMR	0	49.5	0	38.0	12.5	0	92.0	8.0	0	0
	ALMR	0	53.0	0	35.0	12.0	0	93.0	7.0	0	0
	BLRT	0	23.0	23.5	51.5	2.0	4.0	87.5	8.0	0.5	0