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Table 2 Tests for Factorial Invariance of the Four Models across Different Genders: Goodness-of-Fit Statistics

From: 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

Model

S-B χ2

Df

CFIa

Changes in CFIa

RMSEA (90%CI)a

SRMRa

Enjoyment-Competence Model

      

   1: Configual model

131.55

33

0.94

 

0.05(0.04–0.06)

0.04

   2: Measurement model

169.73

40

0.93

0.01

0.05(0.04–0.06)

0.04

   Partial measurement modelb

154.79

38

0.94

0.00

0.05(0.04–0.06)

0.04

   3. Structural model

163.66

39

0.93

0.01

0.05(0.04–0.06)

0.04

Outcome expectation Model

      

   1: Configual model

168.42

49

0.94

 

0.04(0.04–0.05)

0.04

   2: Measurement model

179.11

56

0.93

0.01

0.04(0.03–0.05)

0.04

   3. Structural model

181.28

57

0.93

0.01

0.04(0.03–0.05)

0.04

Social Support Model

      

   1: Configual model

237.92

74

0.98

 

0.04(0.03–0.04)

0.03

   2: Measurement model

248.82

81

0.97

0.01

0.04(0.03–0.04)

0.04

   3. Structural model

257.70

86

0.97

0.01

0.04(0.03–0.04)

0.04

Environment Model

      

   1: Configual model

69.76

21

0.96

 

0.04(0.03–0.05)

0.03

   2: Measurement model

74.60

25

0.96

0.00

0.04(0.03–0.05)

0.03

   3. Structural model

78.06

28

0.96

0.00

0.04(0.03–0.05)

0.03

  1. Based on the univariate χ2 incremental values (p < 0.05)
  2. a: The cut-off points of model fit: CFI greater than .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.
  3. b: Equality constraints related to item Enjoy3 and item Comp3 were removed sequentially