Consider a survey on two schools, where the same students are asked, in the begining of the school year and at the end, whether they like sports, or not. In one of the schools (intervention) there are sport promotion activities during the school year. The question of interest is whether the proportion of change (doesn't like --> like, or likes --> doesn't like: it should be symmetrical, right?) in the school subject to the intervention is statistically different from the change observed in the control school. That is, if the intervention is able to generate 'more change', with statistical significance, in the intervention school.

Within a school, I believe one can apply the McNemar test for a paired 2x2 table. But both schools can have (within school) a significant change. So, how can we test if the intervention is associated with a statistically significant change, when compared to the change observed in the control group?

I wonder if the answer can be extended to a situation where the answers are classifications of 3 or more classes (e.g., doesn't like, indiferente, likes, ...).

I thank you in advance!, and hope this questions maybe helpful to many others, besides me.

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