Before revision: When the difference between the CFIs of two models of varying levels of measurement invariance (e.g., equal forms versus equal loadings) is below than −0.01 (that is, it drops by more than 0.01), then invariance in likely untenable.
After revision: When the difference between the CFIs of two models of varying levels of measurement invariance (e.g., equal forms versus equal loadings) is below −0.01 (that is, it drops by more than 0.01), then invariance in likely untenable.