Question: Exercise 11.5 An alternative model for a block design is yi j = + i + j + ei j , (5) where the

Exercise 11.5 An alternative model for a block design is yi j = μ + αi + βj + ei j , (5)

where the βj s are independent N(0, σ2 2 ) and the βj s and ei j s are independent. If this model is used for a balanced incomplete block design, the BLUEs are different than they are when the βj s are assumed to be fixed. Discuss the appropriateness of the analysis based on this model in light of the results of Exercise 11.4.

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