Why might it be useful to use a stricter criterion than 0.05 for accepting an F statistic as significant in a factorial design?
A)Because the F statistics are independent and thus do control the Type I error rate.
B)Because the F statistics are independent and thus do not control the Type I error rate.
C)Because the F statistics are not independent and thus do not control the Type I error rate.
D)Because the F statistics are not independent and thus do control the Type I error rate.

Question

Quizplus · Accepted Answer

When there are multiple F statistics in a factorial design, they are not independent and their overall Type I error rate is not controlled by the standard alpha level of 0.05. Using a stricter criterion, such as Bonferroni adjustment, can help better control the overall Type I error rate.

Why Might It Be Useful to Use a Stricter Criterion