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ANOVA stands for ANalysis Of VAriance, a statistical model and set of procedures for comparing multiple group means. The independent variables in an ANOVA model are categorical, but an ANOVA table can be used to test continuous variables as well.
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Comparing the difference between two mean differences (x1 - y1) vs. (x1 - y2)?
For this reason, we perform ANOVA first to see if ANY group means are different. …