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Does the utility of 2 decline as we begin to compare variables with more and more groups? For example, imagine we are interested in comparing

Does the utility of 2 decline as we begin to compare variables with more and more groups? For example, imagine we are interested in comparing religious affiliation against political persuasion in the United States. There is a plethora of categories designed to capture information about each variable of interest. How useful is 2 in telling us anything substantive about the relationship between these two variables?

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