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4. (True or False) Many of the comparison procedures and tests we discussed such as the t-test for difference in two means, t
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Answer #1

True.

For example, that is why we use ANOVA instead of multiple t tests. Because every time you run a t test, there is a chance that you will make a Type I error. By running two t-tests you will have increased your chance of type 1 error as almost double and it keeps increasing with each t test. ANOVA controls for these errors and thus the probability of type 1 error does not increase.

So, when you comapre multiple groups,it gets more complicated because you need to control for the experiment wise error rate.

For example, if you want to test equality of three means at 5% level and use 3 t tests instead of ANOVA, each of your t test should have a significance level of 1 - (1-0.05)^1/3 = 0.0169 , that is 1.69% significance level.

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