Fit Statistics for Confirmatory Factor Analysis Models for SECDS Items and Chi-Square Difference Test at Each Wave
| Wave | Model | χ2 | df | CFI | TLI | RMSEA | χ2d | dfd |
|---|---|---|---|---|---|---|---|---|
| 1 | Second-order factor | 260.14 | 130 | .95 | .99 | .04 | — | — |
| Single-factor | 309.78 | 130 | .94 | .98 | .05 | 90.35*a | 6 | |
| Correlated-factorsd | 246.72 | 128 | .96 | .99 | .04 | — | — | |
| 2 | Second-order factor | 291.79 | 125 | .92 | .99 | .05 | — | — |
| Single-factorc | 486.56 | 124 | .83 | .98 | .07 | — | — | |
| Correlated-factors | 296.68 | 124 | .92 | .99 | .05 | 9.70*b | 8 | |
| 3 | Second-order factor | 279.60 | 113 | .94 | .99 | .05 | — | — |
| Single-factorc | 487.21 | 112 | .86 | .97 | .08 | — | — | |
| Correlated-factors | 281.93 | 113 | .94 | .99 | .05 | 16.78*b | 8 | |
| 4 | Second-order factor | 388.49 | 116 | .91 | .99 | .07 | — | — |
| Single-factorc | 677.17 | 114 | .80 | .97 | .10 | — | — | |
| Correlated-factorsd | 352.37 | 116 | .92 | .99 | .06 | — | — | |
| 5 | Second-order factor | 356.31 | 109 | .91 | .99 | .07 | — | — |
| Single-factorc | 776.48 | 101 | .76 | .96 | .12 | — | — | |
| Correlated-factors | 355.36 | 113 | .91 | .99 | .07 | 32.80*b | 7 |
| Wave | Model | χ2 | df | CFI | TLI | RMSEA | ||
|---|---|---|---|---|---|---|---|---|
| 1 | Second-order factor | 260.14 | 130 | .95 | .99 | .04 | — | — |
| Single-factor | 309.78 | 130 | .94 | .98 | .05 | 90.35 | 6 | |
| Correlated-factors | 246.72 | 128 | .96 | .99 | .04 | — | — | |
| 2 | Second-order factor | 291.79 | 125 | .92 | .99 | .05 | — | — |
| Single-factor | 486.56 | 124 | .83 | .98 | .07 | — | — | |
| Correlated-factors | 296.68 | 124 | .92 | .99 | .05 | 9.70 | 8 | |
| 3 | Second-order factor | 279.60 | 113 | .94 | .99 | .05 | — | — |
| Single-factor | 487.21 | 112 | .86 | .97 | .08 | — | — | |
| Correlated-factors | 281.93 | 113 | .94 | .99 | .05 | 16.78 | 8 | |
| 4 | Second-order factor | 388.49 | 116 | .91 | .99 | .07 | — | — |
| Single-factor | 677.17 | 114 | .80 | .97 | .10 | — | — | |
| Correlated-factors | 352.37 | 116 | .92 | .99 | .06 | — | — | |
| 5 | Second-order factor | 356.31 | 109 | .91 | .99 | .07 | — | — |
| Single-factor | 776.48 | 101 | .76 | .96 | .12 | — | — | |
| Correlated-factors | 355.36 | 113 | .91 | .99 | .07 | 32.80 | 7 |
Notes: RMSEA: Root Mean Square Error of Approximation, CFI: Comparative Fit Index, TFI: Tucker Fit Index (TFI). χ2d = Chi-square difference test for the compared models;
dfd = Chi-square difference test degrees of freedom. Wave 1 – Fall 2004, Grade 3, n = 593; Wave 2 – Spring 2005, Grade 3, n = 557; Wave 3 – Fall 2005, Grade 4, n = 547; Wave 4 – Spring 2006, Grade 4, n = 512; Wave 5 – Spring 2007, Grade 5, n = 496.
aChi-square difference test comparing one factor model as H0 and second-order factor model as H1 such that the one factor model was considered as nested within the second-order factor model.
bChi-square different test comparing correlated factors model as H0 second-order factor model as H1 such that the correlated factors model was considered as nested within the second-order factor model.
cModel fit did not meet criteria (CFI values < .90) and thus chi-square difference test was not computed.
dModel fit was nonpositive definite and thus chi-square difference test was not computed.
*p < .01.
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