When calculating effect size for one-way within-groups ANOVA, variability between means is considered relative to total variability after removing the variability that can be accounted for by the participants.

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This is correct. The effect size for one-way within-groups ANOVA is typically calculated using eta-squared (η²), which is the ratio of the variance among the group means to the total variance after removing the variability that can be accounted for by the participants (i.e., within-group variability).

When Calculating Effect Size for One-Way Within-Groups ANOVA, Variability Between