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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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