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. 2011 Apr 12;18(Suppl 1):i51–i61. doi: 10.1136/amiajnl-2010-000053

Table 8.

Structural equation modeling (SEM) goodness of fit indices

Fit statistic Result Description Acceptable range
χ2 1127.71 (df=215), p<0.001 Overall measure of model fit based on discrepancies between the sample and the covariance matrices106 107 Sample size dependent; the result suggests a reasonable fit in light of the study sample size and other goodness of fit measures
Comparative fit index (CFI) 0.96 Comparison of a restricted model to a null model108 >0.90
Root mean square error of approximation (RMSEA) 0.07 Measure of the discrepancy per degree of freedom109 <0.05: close fit
(0.05, 0.08): reasonable fit
(0.08, 0.10): acceptable fit
Standardized root mean square residual (SRMR) 0.06 Measure of standardized fitted residuals107 110 <0.08
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