Since variability due to individual differences is extracted from the dependent variable as part of the correlated groups t test procedure,a correlated groups t test will usually be more powerful than a corresponding independent groups t test.

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This is because the correlated groups design controls for individual differences, which can reduce error variance and increase the sensitivity of the test to detect differences between the conditions being compared. In contrast, the independent groups design does not control for individual differences and may include more error variance, lowering the power of the test.

Since Variability Due to Individual Differences Is Extracted from the Dependent