I want to test the moderating role of a categorical variable on two hypothesized relationships. There are just these two relationships in the model. The sample size is 323. The sample distribution for the two categories in the moderating variable is 172 and 151 respectively. The invariance analysis results show that loading & weight of the construct measurement model do not differ significantly within the model. Therefore, MGA could not be performed.

I have two queries:

1. If I just report the result of invariance analysis in my paper, will it be acceptable in a journal.

2. What alternative tests can I apply to test the moderation?

Thanks for your support

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