We wish to test the hypothesis of no difference between two means. We will use either two matched groups of 40 subjects each, or else two independent groups of 40 subjects each. When the outcome is evaluated at the 5% significance level, the critical value of t will be
A) larger if dependent samples are used
B) the same in either situation
C) larger for one method than for the other, but we cannot tell which from the information given
D) smaller if dependent samples are used

Question

Quizplus · Accepted Answer

In a matched or dependent samples t-test, the degrees of freedom are typically smaller, leading to a larger critical value of t compared to independent samples with the same number of subjects.

We Wish to Test the Hypothesis of No Difference Between