Conceptually and mathematically, the F-test of the independent-samples single-factor ANOVA is an extension of the t-test of $\mu _ { 1 } - \mu _ { 2 }$ .

Name: Conceptually and mathematically, the F-test of the independent-samples single-factor ANOVA is an extension of the t-test of $\mu _ { 1 } - \mu _ { 2 }$ .
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The F-test in ANOVA is used to compare the variances between groups, similar to how the t-test compares means between two groups. ANOVA extends this comparison to more than two groups.

Conceptually and Mathematically, the F-Test of the Independent-Samples Single-Factor ANOVA μ1−μ2\mu _ { 1 } - \mu _ { 2 }μ1​−μ2​

Conceptually and Mathematically, the F-Test of the Independent-Samples Single-Factor ANOVA $\mu _ { 1 } - \mu _ { 2 }$