TABLE 3.

Goodness of fit indices for model comparisons in moderation analysis of age, gender, and socioeconomic status on the mediation model.

Model	χ 2	df	χ 2/df	Δ χ 2	Δ df	p-Value for Δ χ 2	RMSEA (90% CI)	CFI	NFI	IFI	AIC	ECVI
Threshold for acceptable fit			<5			≥0.001 (significant level)	<0.05	≥0.90	≥0.90	≥0.90
Age
Unconstrained	55.717	20	2.786				0.021 (0.015–0.028)	0.997	0.995	0.997	159.717	0.041
Measurement weights	56.928	24	2.372	1.211	4	0.876	0.019 (0.012–0.025)	0.997	0.995	0.997	152.928	0.039
Structural covariances	92.827	39	2.380	37.111	19	0.008	0.019 (0.014–0.024)	0.995	0.991	0.995	158.827	0.040
Measurement residuals	115.710	46	2.515	59.993	26	< 0.001	0.020 (0.015–0.024)	0.994	0.991	0.994	167.710	0.043
Gender
Unconstrained	60.128	20	3.006				0.022 (0.016–0.029)	0.996	0.994	0.996	164.128	0.042
Measurement weights	76.843	24	3.202	16.716	4	0.002	0.024 (0.018–0.030)	0.995	0.993	0.995	172.843	0.044
Structural covariances	205.066	39	5.258	144.939	19	< 0.001	0.033 (0.028–0.037)	0.984	0.981	0.984	271.066	0.069
Measurement residuals	298.891	46	6.498	238.764	26	< 0.001	0.037 (0.033–0.041)	0.976	0.972	0.976	350.891	0.089
Socioeconomic status
Unconstrained	55.013	20	2.751				0.021 (0.014–0.028)	0.997	0.995	0.997	159.013	0.040
Measurement weights	59.237	24	2.468	4.223	4	0.377	0.019 (0.013–0.026)	0.997	0.994	0.997	155.237	0.039
Structural covariances	103.570	39	2.656	48.557	19	< 0.001	0.020 (0.016–0.025)	0.994	0.990	0.994	169.570	0.043
Measurement residuals	108.863	46	2.367	53.850	26	0.001	0.019 (0.014–0.023)	0.994	0.990	0.994	160.863	0.041

χ² = chi-square; df = degree of freedom; χ²/df = The chi-squared/freedom ratio; RMSEA = Root mean square error of approximation; CFI = Comparative fit index; NFI = Normed fit index; IFI = Incremental fit index; AIC = Akaike information criteria; ECVI = Expected cross-validation index. The chi-square deference (Δχ²) tests are compared with the unconstrained model (baseline model).