In a paired t, when the correlation is significant,
A) the degrees of freedom become less
B) the alpha error becomes smaller
C) the estimated standard error of difference is increased
D) the estimated standard error of difference is reduced

Question

Quizplus · Accepted Answer

When the correlation is significant in a paired t-test, the estimated standard error of difference is reduced. This is because a significant correlation indicates that the scores in the two variables are strongly related, and therefore, the differences between them are more consistent and predictable, resulting in a smaller standard error of the mean difference.

In a Paired T, When the Correlation Is Significant