I hope you are all well.
I conducted nonnested model comparison in r using the lavaan and nonnest2 packages; it has helped my distinguish two different factor models of a 6 item scale, across 2400 study participants. I am interested to examine individual differences more and for situations in which we wish the compare multiple models, the Merkle, You, & Preacher (2016) paper mentions the option of obtaining casewise likelihoods. I found the Katayama (2008) paper that Merkle et al. refer to, but I am not sure how to obtain these casewise likelihoods; the Merkle paper does not describe a method here.
How would I obtain and save casewise likelihoods for my two models, that I could, which example, use in an ANOVA? I would really appreciate your help!