. Author manuscript; available in PMC: 2015 Dec 1.

Published in final edited form as: J Psychopathol Behav Assess. 2014 Dec;36(4):626–639. doi: 10.1007/s10862-014-9424-3

Table 4.

Indices of Absolute and Relative Model Fit for Multi-Sample Tests of Measurement and Structural Invariance between Older and Younger Preschool Children (upper panel) and Girls and Boys (lower panel)

Constraints	Y-Bχ²	df	CFI	TLI	RMSEA	AIC	ΔY-Bχ²
	Multi-sample Models for Younger and Older Children
None	104.90^**	74	.96	.95	.06	7205	---
Factor Loadings	122.30^***	84	.95	.94	.06	7210	16.31^ns
Factor Loadings + Covariances	126.81^**	86	.94	.94	.06	7215	3.69^ns
Factor Loadings + Covariances + Residuals	176.00^***	96	.89	.89	.08	7259	39.45^***
Model with 5 Constraints Released	124.27^*	91	.95	.95	.05	7199	11.14^ns

	Multi-sample Models for Girls and Boys
None	116.67^**	74	.94	.93	.06	7457	---
Factor Loadings	120.07^**	84	.95	.95	.06	7449	7.44^ns
Covariances + Factor Loadings	120.38^**	86	.95	.95	.05	7447	1.32^ns
Covariances + Factor Loadings + Residuals	126.76^*	96	.96	.96	.05	7441	8.56^ns

Note. N = 273 in multi-sample models for age, and N = 279 in multi-sample models for boys and girls. Y-Bχ2 = Yuan-Bentler χ²; CFI = Comparative Fit Index; TLI = Tucker-Lewis Index; RMSEA = Root Mean Squared Error of Approximation; AIC = Akaike’s Information Criterion. Covariances refers to covariance between Working Memory and Inhibitory Control factors and to covariance between the residuals of the Bird Dragon and the Picture Imitation tasks. Residuals refers to residual variances for individual tasks. ΔY-B χ² values reflect comparison to prior model.

^ns

p > .05;

p < .05;

^**

p < .01;

^***

p < .001.