The comparisonwise error rate, denoted ac, is the probability of making a Type I error when comparing two means. It is related to the familywise error rate, a, through the formula 1 - α = (1 - αc)k, where k is the number of means being compared.
(a) If the familywise error rate is a = 0.05 and k = 3 means are being compared, what is the comparisonwise error rate?
(b) If the familywise error rate is a = 0.05 and k = 5 means are being compared, what is the comparisonwise error rate?
(c) Based on the results of parts (a) and (b), what happens to the comparisonwise error rate as the number of means compared increases?