I am conducting measurement equivalence on a two country sample (US and IN). I have established configural (baseline) and metric equivalence. However scalar invariance has not been established (the model change checks out but CFI change is less than .002). I examined the modification indices and for the most part I couldnt do much to improve fit. There were cross loadings or correlated errors and it didnt make theoretical sense to have cross loadings or correlate errors as the factors were different.So I didnt make any changes to the modification indices.

My question is how to i assess partial scalar invariance? Also once and if I etablish partial scalar invariance, I wanted to calculate group differences, however I would need to calculate the latent factors means, and Im not sure what the syntax is for that, or where in the output I could find this, if it is already provided in the scalar invariance output.

Does someone have any example syntax on getting partial scalar invariance or assessing latent factor means for group differences? I looked at Barbara Byrne's book for Lisrel but did not find it useful for these particular issues.

I look forward to any help! Thanks