Under the basic logic of one-way analysis of variance, if the within variation is large relative to the between variation, it is an indication that the population means are likely to be different.

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In one-way analysis of variance (ANOVA), if the within-group variation is large relative to the between-group variation, it suggests that the differences among the group means are not statistically significant, implying that the population means are likely to be similar, not different.

Under the Basic Logic of One-Way Analysis of Variance, If