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Table 4 Results of invariance testing for the two-factor models: healthy and unhealthy behaviours

From: Brief parental self-efficacy scales for promoting healthy eating and physical activity in children: a validation study

Model

χ2 (df)

CFI

RMSEA (90% CI)

SRMR

Model comparison

Δχ2 (Δdf)

ΔCFI

ΔRMSEA

ΔSRMR

Decision

Parent sex

 Mother n = 141, father n = 101)

  Healthy behaviours

   M1 Configural

14.233 (16)

1

0 (0; 0.53)

0.0236

     

Accept

   M2 Metric

17.676 (20)

1

0 (0; 0.48)

0.0238

M1

3.443 (4)

0

0

0.0002

Accept

   M3 Scalar

25.399 (26)

1

0 (0; 0.50)

0.0239

M2

7.723 (6)

0

0

0.0001

Accept

  Unhealthy behaviours

   M4 Configural

20.244 (12)

0,991

0.054 (0.000; 0.093)

0.0517

     

Accept

   M5 Metric

27.163 (16)*

0,987

0.054 (0.012; 0.088)

0.0511

M4

6.919 (4)

−0.004

0.0

−0.0006

Accept

   M6 Scalar

39.736 (22)*

0,98

0.058 (0.027; 0.086)

0.0507

M5

12.573 (6)

−0.007

0.004

− 0.0004

Accept

Parent education

 (High n = 141, low n = 96)

  Healthy behaviours

   M7 Configural

29.531 (16)*

0.988

0.060 (0.023; 0.093)

0.0227

     

Accept

   M8 Metric

31.089 (20)

0.990

0.049 (0; 0.08)

0.0232

M7

1.558 (4)

0.002

−0.011

0.0005

Accept

   M9 Scalar

36.909 (26)

0.991

0.042 (0; 0.071)

0.0233

M8

5.82 (6)

0.001

−0.007

0.0001

Accept

  Unhealthy behaviours

   M10 Configural

23.173 (12)*

0.987

0.063 (0.021; 0.101)

0.0544

     

Accept

   M11 Metric

38.827 (16)*

0.974

0.078 (0.047; 0.109)

0.051

M10

15.654 (4)*

−0.013

0.014

−0.0033

Reject

   M112 Partial metric

27.108 (15)

0.986

0.059 (0.019; 0.093)

0.0537

M10

3.935 (3)

−0.001

− 0.004

− 0.0007

Accept

   M12 Scalar

42.264 (22)*

0.977

0.063 (0.033; 0.091)

0.0511

M11:2

15.156 (7)*

−0.009

0.04

− 0.0026

Accept

Child weight status

 (Under/normal n = 177, OWOB n = 60)a

  Healthy behaviours

   M13 Configural

17.991 (16)

0.998

0.023 (0; 0.067)

0.0211

     

Accept

   M14 Metric

22.941 (20)

0.997

0.025 (0; 0.064)

0.0216

M13

4.95 (4)

−0.001

0.002

0.0005

Accept

   M15 Scalar

28.665 (26)

0.998

0.021 (0; 0.057)

0.0215

M14

5.724 (6)

0.001

−0.003

− 0.0001

Accept

  Unhealthy behaviours

   M16 Configural

29.437 (12)*

0.981

0.079 (0.043; 0.115)

0.0437

     

Accept

   M17 Metric

40.460 (16)*

0.973

0.081 (0.050; 0.112)

0.0448

M16

11.023 (4)*

−0.008

0.002

0.0011

Accept

   M18 Scalar

45.171 (22)*

0.975

0.067 (0.039; 0.095)

0.0448

M17

4.711 (6)

0.002

−0.014

0

Accept

  1. *p < 0.05, χ2 = Chi-Square, CFI Comparative fit index, RMSEA Root mean squared error of approximation, SRMR Standardized Root Mean Residual, Model comparison: the model which the current model is compared with to interpret acceptance or rejection of invariance, Δ: delta, Decision: accepting or rejecting the hypothesis that the model is invariant, High education: > 12 years of schooling, Low education: ≤12 years of schooling, a: weight status according to Cole et al. 2012 [51], underweight, normal weight overweight (OW), obesity (OB)