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6.         Why is it impossible to calculate a t-test on two nominal level variables?

6.         Why is it impossible to calculate a t-test on two nominal level variables?

Math   Statistics-And-Probability   
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Answer #1

It is impossible to calculate t - test on two nominal level variables because the two independent samples t test compares the means of two independent groups in order to determine whether there is statistical evidence that the associated population means are significantly different. So, the basic input required for the two independent samples t test is the means of the 2 samples. But, in the case of nominal variables, they do not have means at all. Thus, it is impossible to calculate t - test on two nominal level variables.

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