The #2 test is interpreted as the test of the
difference between the hypothesized model and the
just identified version of the model. Low, nonsignificant
values are desired.35 However, the #2
test is very sensitive to sample size; thus, in a model
with a relatively large sample size, the null hypothesis
will almost always be rejected. Because of
this limitation, the #2 test was used only to evaluate
the relative differences in fit among competing
models. Incremental fit indexes indicate the proportion
of improvement of the hypothesized model
relative to a null model, typically one assuming no
correlation among observed variables. The generally
agreed upon critical value for the CFI and IFI is
. or higher. The RMSEA is the standardized
summary of the average covariance residuals and is
thus a measure of the lack of fit between the data
and the model. Low values (between 0 and .06)
indicate a good fitting model