1) When we reject the overall null hypothesis in a one-way ANOVA analysis we oft

Question

1) When we reject the overall null hypothesis in a one-way ANOVA analysis we often perform pairwise comparisons in order to determine which groups have different means. Why do we perform multiple testing corrections in this scenario?

a) The probability of committing a type I error increases when we perform multiple tests.

b) The probability of committing a type II error increases when we perform multiple tests.

c) Both (a) and (b).

d) None of the above.

Note: may be more than 1 possible answers, thanks!

Explanation / Answer

In this case Type I error occur, since multiple test resulting leads all the means are not equal, but this difference occurs only some of groups but not all groups.

So option A is correct

i.e The probability of committing a type I error increases when we perform multiple tests.

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