. Author manuscript; available in PMC: 2014 May 21.

Published in final edited form as: Psychol Methods. 2009 Dec;14(4):400–412. doi: 10.1037/a0016618

Table 2. Nested Wald Tests for Nine Scale Score Measures.

Measure	n	Uncorrelated errors			Stationary error variance			Stationary true score variance
Measure	n	( $σ_{12}^{2} = 0$ vs. $σ_{12}^{2} \neq 0$ )			( $σ_{E w}^{2} = σ_{E w}^{2}$ vs. $σ_{E w}^{2} \neq σ_{E w}^{2}$ )			( $σ_{T w}^{2} = σ_{T w}^{2}$ vs. $σ_{T w}^{2} \neq σ_{T w}^{2}$ )
		Chi-square	DF	p-value	Chi-square	DF	p-value	Chi-square	DF	p-value
CBCL (2+ years) Total Problem Behavior	5330	122.786	1	0.000	7.613	2	0.0222	16.692	2	0.0002
CBCL (2+ years) Externalizing	5330	78.244	1	0.000	3.650	2	0.1612	18.660	2	0.0001
CBCL (2+ years) Internalizing	5330	65.005	1	0.000	28.805	2	0.0000	15.411	2	0.0005
YSR (11+ years) Total Problem Behavior	1825	21.031	1	0.000	18.360	2	0.0001	23.782	2	0.000
YSR (11+ years) Externalizing	1825	10.681	1	0.0011	10.629	2	0.0049	18.613	2	0.0001
YSR (11+ years) Internalizing	1825	9.583	1	0.0020	7.307	2	0.0259	25.084	2	0.000
TRF (5+ years) Total Problem Behavior	2643	25.338	1	0.000	2.135	2	0.3438	4.688	2	0.0959
TRF (5+ years) Externalizing	2642	24.243	1	0.000	6.415	2	0.0405	6.042	2	0.0488
TRF (5+ years) Internalizing	2642	31.154	1	0.000	15.481	2	0.0004	5.494	2	0.0641

Note: Constraints that could not be rejected are underscored.