Cross-cultural, age and gender validation of a computerised questionnaire measuring personal, social and environmental associations with children's physical activity: the European Youth Heart Study

Table 4 Tests for Factorial Invariance of the Four Models across Four European Countries: Goodness-of-Fit Statistics

Model	S-B χ²	Df	CFI^a	Changes in CFI^a	RMSEA (90%CI)^a	SRMR^a
Enjoyment-Competence Model
1: Configual model	160.81	64	0.96		0.04(0.03–0.05)	0.04
2: Measurement model	318.88	86	0.91	0.05	0.05(0.05–0.06)	0.07
Partial measurement model^b	229.22	83	0.95	0.01	0.04(0.04–0.05)	0.04
3. Structural model	233.66	86	0.95	0.01	0.04(0.04–0.05)	0.05
Outcome expectation Model
1: Configual model	234.80	95	0.93		0.04(0.04–0.05)	0.04
2: Measurement model	315.52	119	0.91	0.02	0.05(0.04–0.05)	0.06
Partial measurement model^c	280.04	113	0.92	0.01	0.04(0.04–0.05)	0.05
3. Structural model	297.20	116	0.92	0.01	0.04(0.04–0.05)	0.06
Social Support Model
1: Configual model	261.03	152	0.98		0.03(0.02–0.04)	0.03
2: Measurement model	344.88	173	0.96	0.02	0.03(0.03–0.04)	0.04
Partial measurement model^d	294.62	167	0.98	0.00	0.03(0.03–0.04)	0.04
3. Structural model	374.84	182	0.97	0.01	0.04(0.03–0.04)	0.06
Environment Model
1: Configual model	68.91	44	0.98		0.03(0.01–0.04)	0.03
2: Measurement model	123.33	56	0.95	0.03	0.04(0.03–0.05)	0.04
Partial measurement model^e	111.70	53	0.95	0.03	0.04(0.03–0.05)	0.04
3. Structural model	135.28	62	0.94	0.04	0.04(0.03–0.05)	0.05

Based on the univariate χ² incremental values (p < 0.05)
a: The cut-off points of model fit: CFI greater than 0.90, Changes in CFI equal or less than 0.01, the point estimate of RMSEA less than 0.05 and the 90%CI of RMSEA less than 0.08, SRMR less than 0.08.
b: Equality constraints related to item Enjoy 4 and item Enjoy3 were removed sequentially
c: Equality constraints related to item Socbel 2 and item Socbel 3 were removed sequentially
d: Equality constraints related to item Parsupp 3 and item Friend 2 were removed sequentially
e: Equality constraints related to item Opp 2 was removed

ISSN: 1479-5868