Table 2.

Simulation Results: The Null Condition

	$M_2$			Rejection Rates			RMSEA		TLIRT
K	N	Mean	Var	.01	.05	.1	Mean	90% CI	Mean	90% CI
2	500	405.9	865.77	.012	.072	.114	.005	(.000, .020)	1.000	(1.00, 1.00)
	1000	406.4	804.299	.020	.052	.092	.004	(.000, .010)	1.000	(1.00, 1.00)
	2500	403.5	765.629	.006	.032	.074	.002	(.000, .010)	1.000	(1.00, 1.00)
	5000	404.5	807.042	.012	.048	.102	.000	(.000, .000)	1.000	(1.00, 1.00)
5	500	6942.1	15307.4	.024	.068	.132	.003	(.000, .010)	1.000	(.99, 1.01)
	1000	6936.9	13418.9	.014	.056	.090	.001	(.000, .010)	1.000	(.99, 1.00)
	2500	6930.3	13116.9	.012	.036	.090	.000	(.000, .000)	1.000	(1.00, 1.00)
	5000	6928.2	15711.0	.010	.054	.114	.000	(.000, .000)	1.000	(1.00, 1.00)

K: number of categories; N: sample size; When $K=2$, degrees-of-freedom is 405. When $K=5$, degrees-of-freedom is 6930