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), p. 33,

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), p. 33, 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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