When conducting the one-way within-groups ANOVA, two F statistics are calculated, but only one is of primary interest.

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The F statistic of primary interest in the one-way within-groups ANOVA is the F statistic representing the differences between the sample means and the grand mean. The other F statistic represents the differences between the sample means and the overall mean, but is not of primary interest.

When Conducting the One-Way Within-Groups ANOVA, Two F Statistics Are