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. Author manuscript; available in PMC: 2021 Jun 1.
Published in final edited form as: J Youth Adolesc. 2020 Feb 1;49(6):1309–1327. doi: 10.1007/s10964-020-01204-2

Table 3.

Fit Indices and Comparison Models for Cross-Lagged Regression Models

Model χ2a df RMSEA CFI TLI Δχ2b Δdfb Comp
Four-variable models
1. No constraints 140.17*** 48 .027 .985 .944
2. Stability constrained across all waves 167.75*** 56 .028 .982 .942 27.11*** 8 1
3. Stability constrained across waves 1 to 3 141.39*** 52 .026 .986 .950 2.93 4 1
4. Cross-variable constraints added to Model 3 166.42*** 76 .022 .986 .965 24.54 24 3
5. Within-wave covariance constraints added to Model 4 187.31*** 88 .021 .984 .967 21.58* 12 4
6. Within-wave partial covariance constraints added to Model 4c 173.36*** 82 .021 .986 .968 7.59 6 4
Multiple group models by sex
7. No constraints 196.62*** 96 .029 .984 .943
8. Constrained across sex 249.61*** 144 .024 .983 .960 54.80 48 7
9. Constrained across sex and waves 1 to 3 276.93*** 172 .022 .983 .967 82.78 76 7
Multiple group models by grade
10. No constraints 261.02*** 144 .031 .982 .942
11. Constrained across grades 374.93*** 240 .026 .979 .960 116.30 96 11
12. Constrained across grades and waves 1 to 3 407.64*** 268 .025 .978 .963 149.26 124 11
Multiple group models by intervention status
13. No constraints 225.79*** 96 .032 .980 .929
14. Constrained across conditions 283.30*** 144 .027 .978 .949 60.41 48 15
15. Constrained across conditions and waves 1 to 3 310.29*** 172 .025 .978 .958 88.32 76 15
Sensitivity analysis of four-variable models using PBFS-AR Physical Victimization scale
16. No constraints 143.54*** 48 .028 .983 .935
17. Stability constrained across waves 1 to 3 144.84*** 52 .026 .984 .942 3.26 4 16
18. Cross-variable constraints added to Model 17 168.06*** 76 .022 .984 .961 22.76 24 17
19. Within-wave covariance constraints added to Model 18 186.34*** 88 .021 .983 .964 19.17 12 18
20. Within-wave partial covariance constraints added to Model 19c 168.74*** 82 .020 .985 .966 2.51 6 18

Note. N = 2,568. Comp= Comparison model. RMSEA = Root mean square error of approximation. CFI = comparative fit index. TLI = Tucker-Lewis Fit index.

a

Chi-square test of model fit.

b

Satorra-Bentler scaled chi-square difference test indicates whether the comparison model fit the data significantly better.

c

Constrained within-wave covariances to the same values across waves 2 and 3.

*

p < .05.

**

p < .01.

***

p < .001.