If the df value for an independent-measures t statistic is an odd number,then it is impossible for the two samples to be the same size.

Question

Quizplus · Accepted Answer

The degrees of freedom (df) for an independent-measures t test is calculated as follows:

df = (n1 - 1) + (n2 - 1)

where n1 and n2 are the sample sizes for Group 1 and Group 2, respectively.

If the df value is an odd number, this means that (n1 - 1) and (n2 - 1) must both be odd or both be even. If they were both even, their sum would be even, not odd. Therefore, the two sample sizes cannot be the same.

If the Df Value for an Independent-Measures T Statistic Is