Question

2. If you run 5 hypothesis tests that each have power equal to 0.8, what is the familywise Type II error rate?

Answer 1

Solution = Given Information, there If you run 5 hypothesis tests, ose, the 5 Hypothesis are assumed Suppose, the 5 +9 as tta, ti3, ty, t5 So, that to test 5 hypo to test 5 hypothesis, it should conduct the no. of Tests - 10. formula to estimate family wis te family wise eroor is Familywise (F) -1-(1-2)^ enou foon different value of P& N error is as follows. 1- (1-P)N for 5 groups — There will be 10 Teits (each contains power=0.8 ice 1- B = 08 -B = 0.8-1 -B = -)=810-002 +8=7002 So, B=0.2 from the above family wise error LEW - 1- (1-02)'

= 1- (0.8)'0 =1-0107374 = 0.8926. so, family wise Type a erroor rate is 89.26%