A correlated groups t-test provides a more sensitive test of the relationship between the independent and dependent variables.

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A correlated groups t-test, also known as a paired samples t-test or dependent samples t-test, compares the means of two related groups on a single continuous variable. Because the groups are related, this test is more sensitive to detecting differences between the groups. The difference between the paired observations within each group is used to calculate the t-statistic, which is a measure of how different the means are relative to the within-group variability. Therefore, a correlated groups t-test is more sensitive than an independent groups t-test when the groups are related.

A Correlated Groups T-Test Provides a More Sensitive Test of the Relationship