With an equal mean difference, when the correlation is significant, the paired t results in a higher t ratio than does the independent t.

Question

Quizplus · Accepted Answer

When the correlation is significant, the paired t results in a higher t ratio than does the independent t, even with an equal mean difference. This is because the paired t test takes into account the correlation between the two samples, leading to a smaller standard error and a larger t ratio.

With an Equal Mean Difference, When the Correlation Is Significant