What does a significant F in ANOVA indicate?

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Multiple Choice

What does a significant F in ANOVA indicate?

Explanation:
Significant F in ANOVA means the variability between group means is large compared with the variability within groups, in a way that would be unlikely if all the population means were actually equal. In other words, you have evidence that not all the group means are the same, so at least one group differs from the others. It doesn’t tell you how many differences there are or which groups differ—that requires follow-up tests like post hoc comparisons. It also doesn’t directly address whether variances are equal; that’s a separate assumption to check. A non-significant F would indicate there isn’t enough evidence to say the means differ, which could be due to small effect sizes or low statistical power.

Significant F in ANOVA means the variability between group means is large compared with the variability within groups, in a way that would be unlikely if all the population means were actually equal. In other words, you have evidence that not all the group means are the same, so at least one group differs from the others. It doesn’t tell you how many differences there are or which groups differ—that requires follow-up tests like post hoc comparisons. It also doesn’t directly address whether variances are equal; that’s a separate assumption to check. A non-significant F would indicate there isn’t enough evidence to say the means differ, which could be due to small effect sizes or low statistical power.

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