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Competitive Stats
Q148Section III (Statistics)148 of 180

Identifying estimable functions from the design

In a linear model Y4×1=X4×3θ3×1+ϵ4×1Y_{4\times1}=X_{4\times3}\theta_{3\times1} +\epsilon_{4\times1} with

E(Y1)=E(Y3)=θ1+θ2,E(Y2)=E(Y4)=θ1−θ3,\mathbb{E}(Y_1)=\mathbb{E}(Y_3)=\theta_1+\theta_2, \qquad \mathbb{E}(Y_2)=\mathbb{E}(Y_4)=\theta_1-\theta_3 ,

which of the following statements is true?

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