Table 1

Fit Statistics for Confirmatory Factor Analysis Models for SECDS Items and Chi-Square Difference Test at Each Wave

WaveModelχ2dfCFITLIRMSEAχ2ddfd
1Second-order factor260.14130.95.99.04——
 Single-factor309.78130.94.98.0590.35*a6
 Correlated-factorsd246.72128.96.99.04——
2Second-order factor291.79125.92.99.05——
 Single-factorc486.56124.83.98.07——
 Correlated-factors296.68124.92.99.059.70*b8
3Second-order factor279.60113.94.99.05——
 Single-factorc487.21112.86.97.08——
 Correlated-factors281.93113.94.99.0516.78*b8
4Second-order factor388.49116.91.99.07——
 Single-factorc677.17114.80.97.10——
 Correlated-factorsd352.37116.92.99.06——
5Second-order factor356.31109.91.99.07——
 Single-factorc776.48101.76.96.12——
 Correlated-factors355.36113.91.99.0732.80*b7

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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