. Author manuscript; available in PMC: 2017 Nov 11.

Published in final edited form as: Multivariate Behav Res. 2016 Nov 11;51(6):818–838. doi: 10.1080/00273171.2016.1243461

Table 2.

Standardized Loadings for Unidimensional, Correlated Factors, and Bifactor Models Under Maximum Likelihood (ML), Asymptotic Distribution Free (ADF), and Iteratively Reweighted Least Squares (IRLS) d_s

	ML						ADF

Item	1-Factor	2-Factor		Bifactor			1-Factor	2-Factor		Bifactor

	λ₁	λ₁	λ₂	λ_Gen	λ_Grp1	λ_Grp2	λ₁	λ₁	λ₂	λ_Gen	λ_Grp1	λ_Grp2
1	.72	.76		.71	.43		.75	.76		.72	.42
2	.68	.72		.67	.51		.72	.72		.68	.50
4	.62	.65		.59	.33		.64	.65		.60	.31
6	.78	.80		.86			.84	.85		.86
7	.76	.78		.84			.82	.83		.84
3 (R)	.78		.80	.71		.35	.80		.81	.72		.34
5 (R)	.74		.76	.67		.33	.76		.77	.68		.32
8 (R)	.57		.58	.53		.26	.61		.61	.53		.30
9 (R)	.70		.72	.62		.41	.73		.74	.62		.45
10 (R)	.75		.77	.68		.38	.78		.79	.68		.41
ϕ		.90						.89
θ_9.10	.22	.18			.16		.17	.16			.13
θ_1.2	.20	.15					.13	.13
θ_6.7	.14	.11					−.02	−.02
ECV					.80						.80
ω					.93						.93
ω_H					.84						.85

	IRLS d_s

	1-Factor	2-Factor		Bifactor

	λ₁	λ₁	λ₂	λ_Gen	λ_Grp1	λ_Grp2

1	.77	.77		.74	.41
2	.73	.73		.70	.48
4	.67	.67		.62	.29
6	.86	.87		.87
7	.84	.85		.85
3 (R)	.82		.83	.78		.27
5 (R)	.79		.79	.75		.25
8 (R)	.63		.64	.58		.29
9 (R)	.74		.76	.68		.42
10 (R)	.79		.80	.73		.38
ϕ		.92
θ_9.10	.17	.15			.11
θ_1.2	.14	.13
θ_6.7	−.02	−.02
ECV					.84
ω					.94
ω_H					.88

Note. ECV is explained common variance, λ is factor loading on the first (1), second (2), general (Gen), or first or second group (Grp1, Grp2) factor, ϕ is factor correlation, θ_a.b is residual correlation between items a and b, d_s is implausibility” distance, ω is model-based composite reliabilty and ω_H is composite reliability based on general factor.