CFI

[brandmaier]

We need CFI as a standard fit measure because RMSEA and CFI together are the de facto reporting standard. However, it needs the fit of a null model, which usually is a model of independence. Can we have a flag somewhere in the model specification that triggers the fit of an independence model. And it the independence model exists, CFI is computed?

[Maximilian-Stefan-Ernst]

I would suggest to have a CFI(fitted; independence_model = varonly_model) function, where the default constructs a variance only model and fits it, but other indenpence models can also be used.