Compared to the independent t, the paired t, on data which are really correlated, is
A) a less powerful test
B) a more powerful test
C) equal in power with the independent t
D) none of these, since power is never a function of which statistical test is

Question

Quizplus · Accepted Answer

The paired t-test is more powerful than the independent t-test on correlated data because it takes into account the correlation between the paired observations, reducing variability and increasing the precision of the estimate. This results in a smaller standard error and a larger t-value, leading to a higher power to detect a true difference between the means.

Compared to the Independent T, the Paired T, on Data