Question

Why is it impossible to calculate a chi-square on two interval/ratio level variables?

Answer 1

It is impossible to calculate a Chi-Square on two interval/ratio level variables for the following reasons:

(a) The distribution of the data was seriously skewed or kurtotic (parametric tests assume approximately normal distribution of the dependent variable), and thus the researchers must use a distribution free statistic rather than a parametric statistic.

(b) The data violates the assumptions of equal variance or homoscedasticity.

(c) For any of a number of reasons, the continuous data are collapsed into a small number of categories, and thus the data are no longer interval or ratio.

For such reasons, it is impossible to conduct a Chi square test.

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