Question: 6. Consider the model Yij = + i + j + ij, i = 1, 2, 3, j = 1, 2, where

6. Consider the model Yij = μ + αi + βj + εij, i = 1, 2, 3, j = 1, 2, where ε ∼ N(0,

σ2I), ε = (ε11 ε21 ε31 ε12 ε22 ε32 ). Suppose the model above is written in matrix notation, Y = Xβ + ε.

(a) Find the rank of the matrix X.

(b) Find two linearly independent estimable functions.

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