Explain the difference between between-group variability and within-group variability in the context of ANOVA.
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Between group variability is the deviance of each GROUP MEAN from the overall mean. Within group variability is the observation's deviance from that observation's group mean
Between-group variability measures how much the means of different groups differ, while within-group variability measures how much individual data points within a group vary from their group mean. ANOVA uses the ratio of these two variabilities to determine if differences between group means are statistically significant.