The power curves of Figures 10.5 and 10.6 can be used to obtain = P(type II

The power curves of Figures 10.5 and 10.6 can be used to obtain β = P(type II error) for the F test in two-factor ANOVA. For fixed values of a1, a2, ... , a1, the quantity (2 = (J/I) (α2i / (2 is computed. Then the figure corresponding to v1 = I - 1 is entered on the horizontal axis at the value (, the power is read on the vertical axis from the curve labeled v2 = (I - 1) (J - 1), and β = 1 - power.
a. For the corrosion experiment described in Exercise 2, find β when α1 = 4, α2 = 0, α3 = α3 = - 2, and ( = 4. Repeat for α1 = 6, α2 = 0, α3 = α3 = - 3, and ( = 4.
b. By symmetry, what is β for the test of H0B versus HaB in Example 11.1 when β1 = .3, β2 = β3 = β4 = -.1, and ( = .3?