The F test in one-way ANOVA models is just an expansion of the t test for independent samples.

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Quizplus · Accepted Answer

The F test is indeed an expansion of the t test for independent samples. In one-way ANOVA models, we compare the variability between the group means to the variability within the groups, which is similar to the comparison made in a t test. However, the F test allows us to compare more than two groups at once, whereas the t test is limited to comparing two independent samples.

The F Test in One-Way ANOVA Models Is Just an Expansion