The within-treatments variance provides a measure of the variability inside each treatment condition.

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The within-treatments variance, also known as the residual variance, is a measure of the variability within each treatment condition. It is calculated as the sum of the squared differences between each individual score and the mean score of their respective treatment condition, divided by the degrees of freedom within the treatment condition. It is used to determine if the treatment effect is significant after accounting for the natural variability within each treatment condition.

The Within-Treatments Variance Provides a Measure of the Variability Inside