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 α1, α2,…, αI, the quantity
a. For the corrosion experiment described in Exercise 2,find β when α1 = 4, α2 = 0, α3 = α4 = 22, and σ = 4. Repeat for α1 = 6, α2 = 0, α3 = α4 = −3, and σ = 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 σ = .3?
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Probability and Statistics for Engineering and the Sciences
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