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.
the model is
Yit = μ + τi + Eit
Eit N (0,02),
Eii's are mutually independent,
t = 1,, ri i = 1,, u
Yit N(μ + τt, 02)