The comparative fit index (CFI; Bentler, 1990) is given by.
,
where , and NCP are the discrepancy, the degrees of freedom and the noncentrality parameter estimate for the model being evaluated, and are the discrepancy, the degrees of freedom and the noncentrality parameter estimate for the baseline model.
The CFI is identical to the McDonald and Marsh (1990) relative noncentrality index ( RNI),
,
except that the CFI is truncated to fall in the range from 0 to 1. CFI values close to 1 indicate a very good fit.
Use the \cfi text macro to display CFI on a path diagram.