Prove that under H0 in (2.6) the probability of declaring at least one pair of treatments significantly different, based on (2.13), exceeds 𝛼 for k′ > 1 and increases as k′ increases. (Hint: Write...

Prove that under H0 in (2.6) the probability of declaring at least one pair of

treatments significantly different, based on (2.13), exceeds 𝛼 for k′ > 1 and

increases as k′ increases. (Hint: Write the event in (2.13) as Cij and express the

rejection region as a union of the Cij’s.)