The F-test used in one-way ANOVA is an extension of the t-test of $\mu$₁ - $\mu$₂.

Name: The F-test used in one-way ANOVA is an extension of the t-test of $\mu$ 1 - $\mu$ 2 .
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The F-test used in one-way ANOVA is indeed an extension of the t-test, as it uses the ratio of two variances (between-group variance and within-group variance) instead of the ratio of the mean differences, as in the t-test.

The F-Test Used in One-Way ANOVA Is an Extension of the T-Test