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Association (or "correlation") and difference are two sides of the same coin. Difference between groups by some quantitative characteristic can be reasoned as the association between variables "group" and "characteristic". Eta coefficient, also called correlation ratio, is the proper association measure between a nominal variable and a scale variable, and is ...


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It's not the observed numbers that need to be anything. It's the expecteds that need to be 'not too small' in order for the chi-square approximation to be reasonable for the usual Pearson chi-square statistic. In any case the rule is very old (over 5 decades) and numerous studies since have argued that it's too conservative. However, in your case, that ...



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