Dear Dr. Rigdon,
Thanks for your reply. From what I have observed, it seems that not all articles in my field reported TLI (but there is a growing trend of reporting both CFI and TLI). My concern is if I report both indices, then I'm not sure how to justify the difference between CFI And TLI. I read from this website:
http://www.davidakenny.net/cm/fit.htm that TLI has a higher penalty for model complexity (more parameters) than CFI. Could this be the reason (I attached my model below)? Also, some of the variables in my model have low correlations, but this would affect both CFI and TLI I suppose?