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Question

What are the differences between a two sample t-test and ANOVA hypothesis testing?

Answer 1

A two sample t-test allows you to test the differences between two groups. ANOVA tests allow you to test the differences between three or more groups.
So as an example, if we gave a placebo pill to one group and a real pill to another group, and 64% of the placebo group stayed the same, whereas 34% of the real pill group stayed the same, you'd then use the two sample t-test to see if this difference was significance. If we had a third group in this research who were maybe given a special health food, then we would use ANOVA.