If k = 2, the t test for independent groups, the F test, and the t test for planned comparisons are all essentially the same test.

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Quizplus · Accepted Answer

When k = 2, there are only two groups being compared, so the t test for independent groups, the F test, and the t test for planned comparisons all reduce to the same test. This test is simply comparing the means of the two groups using a t test.

If K = 2, the T Test for Independent Groups