In a one-way analysis of variance design, the total variation in the data across the various factor levels can be partitioned into two parts, the within sample variation and the between sample variation.

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In a one-way ANOVA, the total variation is indeed partitioned into two components: the variation within each group (within-sample variation) and the variation between the groups (between-sample variation). This allows for the assessment of whether the means across the groups are significantly different from each other.

In a One-Way Analysis of Variance Design, the Total Variation