. Author manuscript; available in PMC: 2011 Nov 1.

Published in final edited form as: Neuropsychology. 2010 Nov;24(6):742–756. doi: 10.1037/a0020176

Table 5.

Summary of Tests of Factorial Invariance by Groups

	Composite Reliability	χ²	df	χ²/df	Δ χ²	Δ df	p-value	RMSEA (90% CI)	CFI	NFI	NNFI	CAIC
Single Group Model
AD+ (n=469)	0.89	362.48^**	125	2.90				0.06 (0.056, 0.071)	0.97	0.95	0.96
AD− (n=181)	0.87	206.36^**	125	1.65				0.06 (0.045, 0.074)	0.96	0.91	0.96
Invariance
Full Configural		568.36^**	250	2.27				0.06 (0.055, 0.069)	0.97	0.94	0.96	1525.41
Full Metric		577.60^**	268	2.16	9.24	18	0.95	0.06 (0.053, 0.066)	0.97	0.94	0.96	1400.07
Full Scalar		589.22^**	281	2.10	11.62	13	0.56	0.06 (0.051, 0.065)	0.97	0.94	0.96	1314.49
Full Factor Variance-Covariance		599.97^**	291	2.06	10.75	10	0.38	0.06 (0.051, 0.064)	0.97	0.94	0.97	1250.46
Full Strict (Error Variance)		620.20^**	309	2.01	20.23	18	0.32	0.06 (0.049, 0.062)	0.97	0.94	0.97	1136.11

Single Group Model
Younger (n=330)	0.88	320.61^**	125	2.56				0.07 (0.057, 0.078)	0.96	0.93	0.95
Older (n=320)	0.88	216.94^**	125	1.74				0.05 (0.037, 0.058)	0.98	0.95	0.98
Invariance
Full Configural		536.41^**	250	2.15				0.06 (0.052, 0.066)	0.97	0.94	0.96	1493.46
Full Metric		560.93^**	268	2.09	24.52	18	0.14	0.06 (0.051, 0.065)	0.97	0.94	0.96	1383.40
Full Scalar		609.04^**	281	2.17	48.11	13	0.001^**	0.06 (0.053, 0.067)	0.96	0.94	0.96	1334.31
Partial Scalar Invariance		577.49^**	278	2.08	16.56	10	0.08	0.06 (0.051. 0.064)	0.97	0.94	0.96	1325.19
Full Factor Variance-Covariance		595.66^**	288	2.07	18.17	10	0.05	0.06 (0.051, 0.064)	0.97	0.94	0.96	1268.59
Full Strict (Error Variance)		607.93^**	306	1.99	12.27	18	0.83	0.06 (0.049, 0.062)	0.97	0.94	0.97	1146.27

Single Group Model
Females (n=450)	0.88	294.23^**	125	2.35				0.05 (0.047, 0.063)	0.97	0.95	0.97
Males (n=200)	0.89	219.71^**	125	1.76				0.06 (0.048, 0.075)	0.97	0.94	0.97
Invariance
Full Configural		513.73^**	250	2.05				0.06 (0.050, 0.064)	0.97	0.95	0.97	1201.61
Full Metric		538.28^**	268	2.01	24.55	18	0.14	0.06 (0.049, 0.063)	0.97	0.95	0.97	1360.77
Full Scalar		659.98^**	281	2.35	121.70	13	0.001^**	0.06 (0.058, 0.071)	0.96	0.93	0.96	1385.25
Partial Scalar Invariance		550.56^**	276	1.99	12.28	8	0.14	0.06 (0.049, 0.06)	0.97	0.94	0.97	1313.21
Full Factor Variance-Covariance		575.88^**	286	2.01	25.32	10	0.005^**	0.06 (0.049, 0.063)	0.97	0.94	0.97	1263.76
Partial Factor Variance Covariance		566.24^**	285	1.99	15.68	9	0.07	0.06 (0.049, 0.062)	0.97	0.94	0.97	1261.60
Error Variance		590.57^**	302	1.96	25.36	18	0.12	0.05 (0.048, 0.061)	0.97	0.94	0.97	1158.82

Single Group Model
AD+ & APOE4+ (n=187)	0.88	230.03^**	125	1.84				0.07 (0.053, 0.080)	0.96	0.92	0.95
AD− & APOE4− (n=154)	0.86	199.21^**	125	1.59				0.06 (0.045, 0.078)	0.96	0.90	0.95
Invariance
Full Configural		429.09^**	250	1.72				0.07 (0.054, 0.075)	0.96	0.91	0.95	1303.57
Full Metric		436.83^**	268	1.63	7.74	18	0.98	0.06 (0.050, 0.071)	0.96	0.91	0.96	1188.34
Full Scalar		457.84^**	281	1.63	21.01	13	0.07	0.06 (0.050, 0.071)	0.96	0.90	0.96	1120.54
Full Factor Variance-Covariance		469.22^**	291	1.61	11.38	10	0.32	0.06 (0.050, 0.070)	0.96	0.90	0.96	1063.60
Full Strict (Error Variance)		501.76^**	309	1.62	32.54	18	0.020^*	0.06 (0.051, 0.070)	0.96	0.90	0.96	973.16
Partial Error Variance		495.47^**	308	1.61	26.25	17	0.07	0.06 (0.050, 0.070)	0.96	0.90	0.96	973.71

Notes.

^**

p < 0.01;

p < 0.05;

p-values correspond to Δ χ².