I want to know whether my two groups differ on two subscales of the same questionnaire.

**My hypothesis is that group 1 is worse on both subscales, but the difference to group 2 is bigger on subscale 1.**

I have come up with the following solutions:

Solution 1: A multivariate ANOA with group as factor and the questionnaire subscales as dependent variables. In this case, I find a main effect of group. I also find that groups differ significantly on both subscales. But how can I compare the difference between the two differences? Is there a way to calculate an interaction effect? Or could I compare the effect sizes?

Solution 2: A repeated measures design with group as a between subject factor and questionnaire subscales as within subject factors. In this case, I can not only check the main effect of group, but also can investigate whether there is an interaction effect of group and questionnaire. But, as I am assuming that the questionnaire subscales measure different subconcepts, am I allowed to use this test?

Thank you very much for your help!