I'm running a cfa to examine a scale with 3 correlated factors (subscales) and 14 observed variables (items) and n=79 (which is actually, unfortunately way too small for cfa).

The chi²-test is significant, so actually I should reject the model, but it is recommended to additionally calcute the chi²/df, cause the chi²-test is sensitive too sample size, which means that it often gets significant although the model should not be rejected, when there are BIG samples.

The chi²/df is 1,988 in my case, so still acceptable.

My question is now, does it make any sense to calculate and interprete the chi²/df with such a small sample (n=79)? Or should I trust the significant chi²-test then?

I also read that the SRMR should be used, if the chi²-test is significant and that if the SRMR is smaller than .08 (and there are no huge residuals) the model can be seen as "approximate fit", does that make sense in my case?

I would be so thankful, if anybody could help me, all my research does not bring clearity but sometimes even more possibilties and confusion :/

Thank you so much!

Little Fish