Table 1.

Percentage of times enumerated by the fit indices for different number of classes under the low 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	66.5	19.5	9.5	4.5	0	85.5	11.0	3.5	0
	BIC	17.0	83.0	0	0	0	0	100.0	0	0	0
	ABIC	0	76.5	15.0	7.0	1.5	0	89.0	8.5	2.5	0
	LMR	8.5	79.0	12.0	0.5	0	13.0	84.5	2.5	0	0
	ALMR	11.5	76.5	12.0	0	0	13.0	85.0	2.0	0	0
	BLRT	1.0	93.5	5.0	0.5	0	2.0	95.0	3.0	0	0
N=400	AIC	0	65.5	24.0	4.0	6.5	0	73.5	20.0	5.5	1.0
	BIC	0	100.0	0	0	0	0	100.0	0	0	0
	ABIC	0	89.5	9.5	1.0	0	0	95.5	4.0	0.5	0
	LMR	0	82.0	16.5	1.0	0.5	0.5	96.5	2.5	0.5	0
	ALMR	0	83.5	15.0	1.0	0.5	0.5	97.5	2.0	0	0
	BLRT	0	91.5	8.5	0	0	0	97.5	2.5	0	0
N=1000	AIC	0	65.5	19.5	8.0	7.0	0	80.5	16.0	2.0	1.5
	BIC	0	100.0	0	0	0	0	100.0	0	0	0
	ABIC	0	99.5	0.5	0	0	0	99.5	0.5	0	0
	LMR	0	80.5	17.5	2.0	0	0	96.5	3.5	0	0
	ALMR	0	81.5	17.0	1.5	0	0	97.5	2.5	0	0
	BLRT	0	90.0	10.0	0	0	0	96.5	3.5	0	0
N=2000	AIC	0	58.5	18.5	14.0	9.0	0	69.0	21.0	7.5	2.5
	BIC	0	100.0	0	0	0	0	100.0	0	0	0
	ABIC	0	99.0	1.0	0	0	0	99.0	1.0	0	0
	LMR	0	73.0	24.5	2.5	0	0	93.5	5.5	1.0	0
	ALMR	0	74.0	23.5	2.5	0	0	95.0	4.5	0.5	0
	BLRT	4.5	84.0	10.5	1.0	0	1.0	93.5	5.0	0.5	0