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Table 3 Goodness of fit statistics for the tested models on social norms and snacking behavior. MyMovez study (N = 819), 2016, 2017 and 2018

From: Exploring the directionality in the relationship between descriptive and injunctive parental and peer norms and snacking behavior in a three-year-cross-lagged study

Descriptive norm

Model 1 Baselinea

Model 2 Forwardb

Model 3 Reversedc

Model 4 Reciprocald

 RMSEA

.030

.032

.031

.033

 CFI

.966

.970

.971

.973

 TLI

.951

.946

.948

.942

 AIC

5332.375

5337.657

5336.916

5341.779

 Ssa BIC

5427.388

5444.930

5444.189

5461.312

χ2

111.730

101.645

100.343

89.839

Df

64

56

56

48

P

.0002

.0002

.0003

.0002

 Scaling correction factor for MLR

1.1226

1.1285

1.1358

1.1446

Chi-square difference test

  Comparison with:

–

Model 1

Model 1

Model 1 / Model 2 / Model 3

  Change in χ2

 

10.085

11.387

21.891 / 11.806 / 10.504

  Change in Df

 

8

8

16 / 8 / 8

P

 

.271

.195

.164 / .174 / .167

Injunctive norms

Model 1 Baseline

Model 2 Forward Causation

Model 3 Reversed Causation

Model 4 Reciprocal

 RMSEA

.029

.028

.030

.029

 CFI

.970

.976

.971

.978

 TLI

.952

.956

.948

.953

 AIC

5683.262

5681.901

5688.783

5686.972

 Ssa BIC

5778.200

5789.008

5795.970

5806.410

χ2

108.946

91.774

98.226

81.020

Df

64

56

56

48

P

.0004

.0018

.0004

.0020

 Scaling correction factor for MLR

1.1005

1.1172

1.1139

1.1306

Chi-square difference test

  Comparison with:

–

Model 1

Model 1

Model 1 / Model 2 / Model 3

  Change in χ2

 

17.172

10,72

27.926 / 10.754 / 17.206

  Change in Df

 

8

8

16 / 8 / 8

P

 

.024

.237

.032 / .229 / .025

Add. analyses Combined model

Model 1 Baselinea

Model 2 Forwardb

Model 3 Reversedc

Model 4 Reciprocald

 RMSEA

.034

.035

.036

.037

 CFI

.937

.941

.940

.944

 TLI

.905

.899

.897

.889

 AIC

13,121.443

13,126.358

13,131.429

13,135.890

 Ssa BIC

13,285.417

13,314.852

13,319.922

13,348.903

χ2

268.438

243.668

246.679

221.839

Df

136

120

120

104

P

.0000

.0000

.0000

.0000

 Scaling correction factor for MLR

1.0704

1.0681

1.0756

1.0719

Chi-square difference test

  Comparison with:

–

Model 1

Model 1

Model 1 / Model 2 / Model 3

  Change in χ2

 

24.77

21.759

46.599

  Change in Df

 

16

16

32 / 16 / 16

P

 

.072

.166

.047 / .159 / .069

  1. aOnly auto-regressive effects and cross-sectional correlations
  2. bSocial norms predicting snack intake at T1 to T2, and T2 to T3, respectively
  3. cSnack intake predicting social norms at T1 to T2, and T2 to T3, respectively
  4. dBi-directional relationships between social norms and snack intake
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International Journal of Behavioral Nutrition and Physical Activity

ISSN: 1479-5868

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