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Is the $IndependenceLikelihood also the -2 * likelihood from the independence model?
In my case it is very different from the $minus2Likelihood of fitting the independence model itself.
-2loglik of independence model : 3096.288
IndependenceLik of target model: 126040060
For the independence model I used a diagonal model.
See https://openmx.ssri.psu.edu/thread/78