Question: Consider the fixed-effects model of the completely randomized single-factor design. The model parameters are restricted by the constraint Î£ a i=1 Ï i = 0.

Consider the fixed-effects model of the completely randomized single-factor design. The model parameters are restricted by the constraint Î£^a_i=1Ï„_i= 0. (Actually, other restrictions could be used, but this one is simple and results in intuitively pleasing estimates for the model parameters.) For the case of unequal sample size n₁, n₂,€¦., n_a, the restriction is^aÎ£_i=1n_iÏ„_i= 0. Use this to show that

Σητή eaimens) =o+ E(MS-. Treatments o* + a-1

Does this suggest that the null hypothesis in this model is H₀: n₁Ï„₁ = n₁Ï„₂ = ‹… ‹… ‹… = n_a Ï„_a = 0?

eaimens) =o+ E(MS-. Treatments o* + a-1

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