I'm testing invariance in two samples to determine if there are some differences between some variables. But I have some doubt about it. So since the CFI during my scalar invariance was lower than $.90$ I freed an item. Now my scalar invariance is satisfactory, but the problem is that my structural and strict invariance is again lower than $.90$. So my question is this: should I free more items until all my invariance gets a good CFI? Or should I free an item on the scalar level, and then another item on the structural level? Thank you in advance!


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