If the two models are nested, you can use a chi-square difference test. You can check if they are nested by using our new NESTED feature in Mplus Version 8.1.
CC.J. T. posted on Monday, June 11, 2018 - 1:29 am
Thank you very much. I have not got Mplus 8 yet. But I am curious if they are nested models statistically. From your answer, it seems that sometimes they are but sometimes they are not. So how to decide ? Thanks
It can be difficult to decide. No general rules are available. The new NESTED procedure is the way to go. You can read our paper on this - as well as the bentler-satorra paper it refers to - to understand nesting better.