I am working on a project where respondents rate how characteristic different adjectives are for a generalized “man” “woman” or “leader”. Past studies have used ICC to analyze this data and determine that respondents tend to use the same adjectives for men as they do for leaders, but not the same adjectives for women as they use for leaders. But they have also found that this effect varies by country and cultural context. We want to suggest that political representation can be predicted by the ICC of men / leaders and women / leaders. I want to use a multilevel Stan model to do this work.
Is there a way I can, at the individual level, compute the ICC, then use the ICC as a predictor at the country level? Has something similar been done that I can refer to?