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If we have two group means to compare, we use a z or t test as we have seen, assuming we can meet the assumptions
If we have two group means to compare, we use a z or t test as we have seen, assuming we can meet the assumptions of a parametric test. If we have three or more group means to compare, we would have to do multiple z or t tests, but this is just not feasible, and multiple tests would increase our probability of type 1 error. So we use ANOVA. ANOVA uses the F ratio (a ratio of Variances) to inform us on any differences among group means.
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