5. Consider a completely randomized design with observations on three treatments (coded 1, 2, 3). For the

Question:

5. Consider a completely randomized design with observations on three treatments (coded 1, 2, 3). For the one-way analysis of variance model (3.3.1), page 36, determine which of the following are estimable. For those that are estimable, state the least squares estimator.

(a) τ₁ + τ₂ - 2τ₃.

(b) μ + τ₃.

(c) τ₁ - τ₂ - τ₃.

(d) μ + (τ₁ + τ₂ + τ₃)/3.

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