The test statistic for a one-way within-subjects ANOVA is mean square between groups divided by mean square error.

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In a one-way within-subjects ANOVA, the test statistic is indeed calculated by dividing the mean square between groups (MSB) by the mean square error (MSE), which quantifies the variability between the different conditions relative to the variability within the conditions.

The Test Statistic for a One-Way Within-Subjects ANOVA Is Mean