Question

In a Bonferonni Multiple Comparison method, the significance level on each hypothesis test

A. will change depending on how many group means are different.

B. needs to be increased so that there is less chance of making a Type I Error.

C. is always set at 0.05.

D. needs to be reduced so that the probability of making at least one Type I Error remains at something reasonable, such as 0.05.

E. needs to be reduced so that there is less chance of making a Type II Error.

Answer 1

Bonferonni Multiple Comparison method control overall type 1 error rate no more than 5%

Multiple Comparison method in which family wise error rate is divided by number of comparisons

alpha bon=0.05/comparisons

if k=6 groups

alpha=alpha family wise /No of comparisons

alpha bon=0.05/6

=0.008333

keeps error rate at 0.05 ,very conservative

D. needs to be reduced so that the probability of making at least one Type I Error remains at something reasonable, such as 0.05.