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Q65Section I (Objective (Q1–Q80))65 of 80

Linear Models — estimable functions in two-way model

Consider the model E(Yij)=αi+βj\mathbb{E}(Y_{ij}) = \alpha_i + \beta_j; i=1,2i = 1, 2 and j=1,2j = 1, 2, where YijY_{ij} are uncorrelated with common variance σ2\sigma^2. Then the function l1α1+l2α2+m1β1+m2β2l_1\alpha_1 + l_2\alpha_2 + m_1\beta_1 + m_2\beta_2 is estimable if and only if:

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