Question: When both factors are random in a two-way ANOVA experiment with K replications per combination of factor levels, the expected mean squares are E(MSE) =

When both factors are random in a two-way ANOVA experiment with K replications per combination of factor levels, the expected mean squares are E(MSE) =

(2, EMSA) = (2 + K(2G + JK(2A, E(MSB) = (2 + K(2G + IK(2B, and E(MSAB) = (2 + K(2G.

a. What F ratio is appropriate for testing H0G: (2G = 0 versus HaG: (2G > 0?

b. Answer part (a) for testing H0A: (2A = 0 versus HaA: (2A > 0 and H0B: (2B = 0 versus HaB: (2B > 0.

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