Connections between Children’s Eating Habits, Mental Health, and Parental Stress

Table 5

Multigroup invariance measurement of MIMIC models M_free, M_load, M_{load + int}, and M_{load + int + reg}, between mothers and fathers both for children’s mental health (CBCL) and for parental stress (PSI).

	AIC	BIC	χ^2	df	CFI	Model comparisons	χ^2 difference	df difference	(χ^2 difference)	ΔCFI
Children’s mental health (CBCL) MIMIC model
Mfree	2,236.7	2,319.1	20.866	20	0.994
Mload	2,235.4	2,311.8	23.534	22	0.989	Mfree−Mload	2.6684	2	0.26	−0.005
Mload + int	2,233.0	2,303.6	25.163	24	0.992	Mload−Mload+int	1.6285	2	0.44	0.003
Mload + int + reg	2,224.1	2,280.0	26.308	29	0.999	Mload+int−Mload+int+reg	1.1456	5	0.95	0.007
Parental stress (PSI) MIMIC model
Mfree	2,743.3	2,825.7	18.266	20	0.999
Mload	2,739.9	2,816.4	18.903	22	0.999	Mfree−Mload	0.6374	2	0.72	<0.0001
Mload + int	2,737.1	2,807.7	20.036	24	0.999	Mload−Mload + int	1.1329	2	0.56	<0.0001
Mload + int + reg	2,733.3	2,789.2	26.256	29	0.998	Mload + int−Mload + int + reg	6.2195	5	0.28	0.001

Note: MIMIC: multiple indicator multiple cause model, M_free: MIMIC model with free parameters for each group, M_load: MIMIC model with loadings invariance for each group, M_load+int: MIMIC model with loadings and intercepts invariance for each group, M_load+int+reg: MIMIC model with loadings, intercepts, and regression coefficients invariance for each group, AIC: Akaike’s information criterion, BIC: Bayesian information criterion, CFI: comparative fit index, ΔCFI: difference in CFI values, CBCL: child behavior check list, and PSI: parenting stress index.